Construyendo el futuro 2025

2 All trade names, trademarks, products, and websites mentioned in this manual belong to their respective owners and are cited solely for descriptive or reference purposes. Copyright © 2026. All rights reserved. No part of this work may be reproduced, stored, transmitted, or distributed by any means without the prior written authorization of the copyright holder, except as permitted by applicable law.

3 About the Author After many years dedicated to aviation and industrial inspection, I decided to undertake a new project focused on researching and developing construction systems based on geodesic domes. During this process, I studied different design methods, construction techniques, and materials, and I also built my own dome. That hands-on experience allowed me to validate, in practice, many of the recommendations shared in this manual. My purpose is to provide a clear, practical, and accessible guide so that anyone can understand and build a geodesic dome safely and efficiently. Cristian Denegri Oldratti Acknowledgment To my dear wife, for her constant support throughout the development of this project, and to all the people whose questions, experiences, and suggestions helped improve this manual.

7 1. INTRODUCTION Hello, builder and entrepreneur! Behind every great idea there is a story, and behind every construction project there is a dream, a decision, and above all, the determination to turn an idea into reality. This manual was born precisely from that experience. Our journey to build a geodesic dome was far from simple. As happens in most projects, we encountered challenges that did not appear in books or online videos. We made mistakes, had to dismantle components, redesign solutions, and start over more than once. However, every obstacle became an opportunity to learn and improve. We never lost sight of our objective: to build a dome that was strong, functional, beautiful, and above all, economically accessible. It all began with an idea my wife and I shared: we wanted to build a home unlike a conventional house, with an innovative and efficient design that made better use of every square foot of built area. After several months of research, studying different construction systems and evaluating various alternatives, we reached a conclusion that completely changed our project: a geodesic dome could offer an excellent balance between usable floor area, interior volume, structural strength, and construction cost. We discovered that, thanks to its geometry, a dome can cover a substantial floor area using less material than a conventional structure of comparable characteristics. This can significantly reduce material consumption and, consequently, construction costs, without sacrificing safety, functionality, or comfort. With that conviction, we began our project. We found a beautiful property in a valley along the Peruvian coast, very close to the ocean. For security reasons, we prefer not to disclose its exact location, but from the first moment we knew it was where we wanted to build our home. The landscape combined the best of two worlds: the tranquility of the countryside and the proximity of the beach. My wife fell completely in love with the place, and after a considerable effort, we were able to acquire it.

8 From that moment on, the real challenge began, we selected the dome diameter, the geodesic frequency, and the portion of the sphere that would define the structure, and then we began fabricating each component; as the project progressed, we realized that theory and practice do not always align, when we finally completed the exterior structure and saw the dome fully assembled, we felt an enormous sense of satisfaction, the spaciousness of the interior exceeded everything we had imagined, and the relationship between built area, available volume, and structural efficiency confirmed that we had made the right decision, at that point, we understood why geodesic domes are considered one of the most efficient structural forms ever developed by humans. There were details we had to rethink during the construction process, for example, it became necessary to rebuild part of the base wall and redesign the first connectors because the initial

9 results did not meet our expectations, these were lessons that no tutorial could have taught us and that can only be learned through direct, hands-on work on the site. After a short time, we realized that installing four windows on the main façade had not been the best decision for the local climatic conditions, the strong solar radiation and the orientation of the house allowed excessive heat to enter the interior during certain hours of the day, after analyzing the building’s thermal behavior, we decided to eliminate two of those windows to improve indoor comfort and optimize the dome’s energy efficiency; this experience taught us an important lesson: one of the great advantages of geodesic domes is how easily they can adapt to new needs, modifying an opening, adding an additional window, changing a door, or improving the interior layout is usually a relatively straightforward process when the structure has been properly designed and built, this flexibility allows the dome to evolve over time, adapting to the needs of its occupants without requiring complex interventions. Several years have now passed since we completed the construction, and after various improvements and adjustments, our dome looks like this: All those experiences, both the successes and the mistakes, gave rise to this manual.

10 Our purpose is to share with you the knowledge we acquired throughout the process so that you can avoid many of the difficulties we faced, we want you to have a practical, clear, and technically grounded guide that will accompany you from the initial planning stage through the final finishes of your project. If you are considering building a geodesic dome as a permanent residence, country house, beach house, tourist accommodation, glamping unit, office, workshop, or any other type of space, you will find in these pages the information you need to make decisions with greater confidence and security. Throughout this manual, you will learn not only how to build the structure, but also how to select materials, design doors and windows, organize interior spaces, incorporate mezzanines, plan utilities, improve thermal insulation, and solve many of the practical issues that are often not explained in sufficient detail. Our goal is not only to teach you how to build a dome, but also to help you understand why each construction decision influences the safety, durability, efficiency, and comfort of the building. Geodesic domes represent a modern and intelligent alternative for building homes and multifunctional spaces, thanks to their structural efficiency, they can reduce material consumption, optimize the use of interior space, and provide excellent performance under wind loads and seismic events when properly designed and constructed, in addition, they can adapt to a wide variety of architectural styles and construction systems, making them an attractive option for residential, tourism, and commercial projects. Today, in many countries across the Americas, Europe, Asia, and Oceania, thousands of geodesic domes are used as homes, hotels, educational centers, laboratories, greenhouses, recreational spaces, and public-use buildings, their growing popularity shows that this construction system is no longer merely an architectural curiosity, but a real, efficient, and sustainable building alternative. We hope this manual inspires you to take the first step, and that the experience shared here helps you build with greater safety, confidence, and knowledge. Because every great construction project begins with a decision. And perhaps today is the time to begin yours. Welcome to the fascinating world of geodesic domes.

11 Why build a Dome? Every year, thousands of people around the world look for a different way to build their home. Some want to reduce costs; others are looking for a stronger, more modern, or more energy-efficient house, many simply dream of living in a unique place, surrounded by nature, with a design that breaks away from conventional construction. Along that path, many people discover geodesic domes: an architectural solution that has attracted growing interest because it combines visual appeal, structural efficiency, and excellent use of interior space, at first glance, a dome draws attention because of its shape; however, its true value lies not merely in its appearance, but in the extraordinary efficiency of its geometry, the spherical form distributes loads more effectively, maximizes interior volume, and can cover large spans using a surprisingly reduced amount of material compared with many traditional building systems. The advantages do not end there, a properly designed geodesic dome can provide excellent performance under seismic forces and high winds, reduced energy demand for heating and cooling, greater freedom in interior space planning, and remarkable flexibility for different uses, including permanent housing, country homes, tourist lodging, offices, studios, restaurants, greenhouses, and even event spaces. Another aspect that people often appreciate once they live in a dome is the feeling of spaciousness, because there are no flat ceilings or conventional corners, the interior feels more open and brighter, natural light can enter from different directions, while the central height creates a pleasant sense of freedom and comfort that is difficult to achieve in a traditional house. From an economic standpoint, domes also represent a very attractive alternative, their geometry allows materials to be used more efficiently and, in many projects, can reduce construction costs without sacrificing strength or functionality, in addition, the building system facilitates the prefabrication of many components, accelerating assembly and simplifying the construction process, however, there is an even more important reason to build a dome: the satisfaction of bringing a different kind of project to life. Building a home with your own hands not only represents significant financial savings; it is also a deeply rewarding experience, watching hundreds of individual pieces gradually becomes a solid, elegant, and functional structure is a feeling that is difficult to describe in words. We lived that experience ourselves, we made mistakes, learned from them, and discovered practical solutions that are not found in most books or online videos, that is precisely why this manual was created: to share that knowledge with you, make your path easier, help you avoid many of the problems we faced, and allow you to enjoy the process from the very first day. If you have ever imagined building a different kind of home—strong, efficient, and capable of adapting to your needs—this manual will show you that the dream is much closer than you may think.

13 2. REDEFINING SPACE Architecture has constantly evolved in search of structures capable of spanning larger spaces while using fewer resources, among all geometric forms found in nature, the sphere stands out for its extraordinary efficiency because it can enclose a large volume with a relatively small surface area, this principle has been used for centuries in dome construction and, more recently, in the development of geodesic domes. Unlike conventional buildings, whose strength depends largely on walls and linear structural members, a geodesic dome distributes loads through a three-dimensional network of interconnected triangles, this configuration provides high structural rigidity, an excellent strength-to-weight ratio, and uniform stress distribution throughout the entire structure, allowing large spans to be covered with a relatively smaller amount of material. Thanks to this geometric efficiency, geodesic domes can reach large dimensions while optimizing resource consumption, when they are properly designed and built, they also provide excellent performance under wind loads, snow loads, and seismic actions. However, the efficiency of a dome is not limited to its structure; its geometry also transforms the way interior spaces are experienced and used. The absence of interior load-bearing walls provides a level of design freedom that is difficult to achieve in a conventional home, spaces can be arranged with great flexibility, adapted to the needs of each project, and modified in the future with relative ease; in addition, the triangular arrangement of the structure facilitates the integration of panoramic windows, skylights, and doors of various sizes, improving natural lighting, cross ventilation, and the connection between the interior space and its surroundings. In a geodesic dome, the structure is no longer a limitation, it becomes a design opportunity. Strength Through Geometry Since the early development of engineering, new structural solutions have been driven by the need to build stronger, lighter, more economical, and more efficient buildings, each technological advance has sought to optimize the use of available materials, reduce the self- weight of structures, and improve their behavior under the various loads acting on them. In this context, geometry plays a fundamental role; the shape of a structure directly influences the way loads are distributed and transferred to the foundation, certain geometric configurations make it possible to reduce deformation, increase stability, and make better use of the mechanical properties of the materials. The triangle is the basic element of the geodesic structure because it is the only flat polygon that maintains its shape without deforming when its joints act as hinges, by combining

14 hundreds of triangles into a three-dimensional mesh, the dome gains significant spatial rigidity, distributing stress among numerous structural members and preventing excessive load concentration at specific points. This principle explains why geodesic domes can span large areas using relatively lightweight members while maintaining high levels of stability and structural safety. Historical Background Although spherical structures have existed for many centuries, the development of the modern geodesic dome began during the twentieth century. One of the earliest precedents was the Jena Planetarium, designed by German engineer Walther Bauersfeld and inaugurated in 1926, considered by many historians to be the first modern geodesic dome, this building marked an important milestone in the evolution of spatial lattice structures and demonstrated the advantages of using triangular mesh to span large open spaces without intermediate support. http://www.waymarking.com/waymarks/WMRJM0_Planetarium_Jena_The_Oldest_Geodesi c_Dome_Jena_Germany (right-click — open hyperlink) Nevertheless, the use of domes and spherical-geometry structures has a much older history. Iconic works such as the Pantheon in Rome (2nd century), the Dome of the Rock in Jerusalem (7th century), and numerous Byzantine and Renaissance churches show that the search for structurally efficient forms has accompanied architecture since antiquity; although these buildings are not geodesic domes in the modern sense of the term, they are important precedents in the evolution of long-span roof structures. https://allwomenstalk.com/es/54fc9ce7af7d65f11215f957/ (right-click — open hyperlink) Buckminster Fuller and the Consolidation of the Geodesic Dome The principal figure behind the modern development of geodesic domes was the American architect, engineer, inventor, and visionary Richard Buckminster Fuller (1895–1983). Beginning in the 1940s, Fuller devoted much of his research to refining this structural system, demonstrating that extremely lightweight, strong, and efficient enclosures could be built using triangular networks. The term “geodesic” comes from geodesy, the science that studies the shape and dimensions of the Earth, Fuller adopted this name because the structural lines of the dome follow paths that approximate the geodesics of a sphere, distributing loads efficiently across the entire surface. Over several decades, he developed numerous prototypes and applications for military, scientific, industrial, and civilian use; one of his most emblematic projects was the United States Pavilion for Expo 67 in Montreal, now known as the Biosphere, an impressive geodesic structure approximately 249 ft in diameter that remains one of the most representative examples of this construction system. Buckminster Fuller’s research transformed the geodesic dome into an architectural solution of global reach; today, these structures are used for homes, hotels, sports centers, greenhouses,

15 observatories, auditoriums, industrial warehouses, and many other applications where large spaces must be covered with a lightweight, strong, and efficient structure. The study of geodesic domes continues to evolve today, incorporating new materials, digital design tools, and construction systems that further expand their architectural and structural possibilities. https://www.archdaily.pe/pe/758384/clasicos-de-arquitectura-biosfera-de-montreal- buckminster-fuller (right-click — open hyperlink) Patent Patent documents for Buckminster Fuller’s geodesic domes, filed on June 29, 1954. https://patents.google.com/patent/US2682235A (right-click — open hyperlink) Pure Geometry The behavior of a geodesic dome is a clear example of how geometry can become a powerful tool in structural engineering, its exceptional strength does not depend solely on the material used, but primarily on the way that material is arranged to distribute loads. The fundamental element of this structure is the triangle, considered the most stable flat polygon from a structural standpoint, unlike other geometric shapes, such as squares or rectangles, a triangle maintains its shape when its joints act as hinges, because any deformation requires changing the length of one of its sides, this property makes it possible to create rigid, lightweight, and highly efficient structures by joining many triangles into a three- dimensional mesh. In a geodesic dome, each strut works together with the others to transfer loads in multiple directions, preventing stresses from concentrating at a single point; as a result, the structure distributes the forces produced by its own weight, wind, rain, snow—where applicable—and even seismic activity in a more uniform way, providing excellent structural performance. This principle can be compared to the strength of an eggshell, although its thickness is very small, its curved shape distributes loads over the entire surface, allowing it to withstand forces much greater than might be expected from the material thickness alone; in the same way, a geodesic dome behaves as a double-curvature spatial structure made of many short, straight members that, when working together, achieve a level of strength far greater than each individual piece could provide on its own. The combination of efficient geometry and proper load distribution makes it possible to build self-supporting, lightweight, and highly rigid structures while optimizing material use without

16 compromising safety, this is one of the main reasons geodesic domes have attracted the interest of architects, engineers, and builders around the world. A Construction Process Within Reach of Many At first glance, a geodesic dome may appear complex because of the large number of components involved, however, once its geometry and assembly system are understood, the construction process becomes surprisingly logical, organized, and manageable. The process essentially consists of fabricating the struts according to the dimensions established in the design, preparing the corresponding connectors, and progressively assembling each component following a predefined sequence, although the total number of pieces may be high, the repetition of similar components greatly simplifies the assembly work. This does not mean that the technical aspects of the work can be overlooked, proper execution requires accurate cuts, precise measurements, and adequate quality control of all materials used in the structure. The Importance of Wood When building a wooden dome, it is advisable to work with an experienced carpenter or purchase properly prepared lumber from a specialized supplier. Before being incorporated into the structure, the lumber should meet several essential requirements: • Have appropriate moisture content to minimize later deformation. • Be properly planned and dimensioned. • Have precise and uniform cuts. • Receive preventive treatment against fungi, termites, wood-boring insects, and other xylophagous organisms when environmental conditions require it. • Be free from major defects that could affect its structural strength. When lumber is purchased directly from a lumberyard or sawmill, it is usually possible to select the most suitable species and commercial dimensions. In many cases, the supplier may also offer initial cutting services; however, the builder is responsible for verifying that the material receives the necessary protective treatments before dome assembly begins. Properly selected and conditioned lumber is one of the factors that most strongly influences the long-term durability and performance of the structure. Planning Before Construction The success of a project does not depend solely on the quality of the structural design, proper preliminary planning can save a significant amount of time, money, and effort during construction. Before defining the dome diameter and location, several technical and economic factors should be evaluated. One of the first decisions is to determine the intended use of the building, a single-level residential dome will require a different geometry than a dome designed to include a

17 mezzanine or second floor, factors such as usable height, the selected portion of the sphere, and the interior layout should be defined during the initial stages of the project. The location of the site will also have a direct impact on the construction budget; when a project is located far from supply centers, transportation costs can represent a significant portion of the total investment, for this reason, it is advisable to evaluate in advance the local availability of lumber, steel, connectors, roofing materials, and other supplies required for construction. Another key consideration is the foundation system and the type of floor to be used, if a concrete slab is selected, the availability of aggregates, cement, and ready-mix concrete should be verified, as well as the access conditions for mixer trucks and cargo vehicles, on sites with narrow or difficult access roads, material transportation may require additional logistics that increase the overall cost of the project. Analyzing these factors from the beginning will make it possible to prepare a more realistic budget, optimize material procurement, and avoid delays during construction. These recommendations are not intended to discourage you, but to help you plan your project more effectively, good preparation is always less costly than correcting mistakes during construction, in practice, the decisions made before placing the first component often have the greatest impact on the success of the entire project. Why Is the Triangle the Most Stable Structural Shape? One of the reasons geodesic domes are so strong lies in a fundamental property of geometry: the triangle is the only polygon that preserves its shape when its sides are connected by hinged joints. To understand this, imagine a square made of four bars joined only by pins at the corners, if a lateral force is applied, the square can easily deform into a rhombus, even though none of the bars has bent or broken, this happens because the angles can change without altering the length of the sides. If the same experiment is performed with a triangle, the shape remains stable, deforming it would require changing the length of one of its sides or breaking one of its joints, which requires a much greater force, this property makes the triangle the basic element of many engineering structures, including bridges, transmission towers, cranes, steel trusses, and, of course, geodesic domes. A geodesic dome is not formed by a single triangle, but by hundreds of interconnected triangles working together, when a load acts on the structure, whether from self-weight, wind, rain, or seismic movement—the forces are not concentrated at a single point. Instead, they are distributed among many struts, allowing each member to carry only a fraction of the total load. This structural behavior explains why geodesic domes achieve an excellent strength-to-weight ratio, instead of relying on a few large beams or columns, the dome develops its strength through the coordinated action of many small members functioning as an integrated structural system.

18 In simple terms, a dome is strong not because its components are larger or heavier, but because they work together intelligently, this principle, known as strength through geometry, is one of the most important foundations of modern structural engineering.

21 3. ADVANTAGES OF DOME HOME Excellent Performance Under Seismic Loads One of the main advantages of geodesic domes is their outstanding structural performance under seismic action, thanks to their spherical geometry and three-dimensional network of interconnected triangles, the forces generated during an earthquake are distributed more uniformly throughout the structure, reducing stress concentration in individual members. https://www.youtube.com/watch?v=HGEE0csOykE (right-click — open hyperlink)

22 Unlike many conventional buildings, where seismic forces are transmitted mainly through beams, columns, and load-bearing walls, a geodesic dome behaves as a three-dimensional spatial structure, each strut forms part of a triangulated mesh that works as an integrated system to absorb and redistribute dynamic loads, as a result, stresses are not concentrated in only a few members; instead, they are shared among hundreds of structural struts and nodes, providing high rigidity and an excellent strength-to-weight ratio, another important advantage is structural redundancy: because there are multiple load paths, the dome has a greater ability to redistribute forces when one or more members experience higher demand, its low self- weight also reduces the inertial forces generated during an earthquake; in general, the lower the mass of a structure, the lower the seismic forces are induced by ground acceleration, this characteristic, combined with the dome’s double-curvature geometry and triangulated configuration, contributes significantly to its structural performance, when a geodesic dome is properly designed, calculated, and built in accordance with applicable technical standards, it can perform very favorably during earthquakes by distributing loads efficiently, reducing stress concentration, and using materials effectively; ultimately, the seismic efficiency of a dome depends not only on the strength of its materials, but also on the way its geometry enables the entire structure to act as one continuous resistant system, this combination of form, triangulation, and structural continuity makes the geodesic dome one of the most efficient building systems for resisting dynamic loads. Conceptual illustration: a geodesic structure remains stable after a severe earthquake while many surrounding buildings have suffered significant damage, actual performance depends on structural design, material quality, construction execution, foundation conditions, and earthquake intensity, its main advantage is that its geometry distributes loads efficiently, increasing the likelihood of maintaining structural stability and protecting occupants when the dome is properly designed and built.

24 Economical: More Space, Less Material When most people see a dome for the first time, they assume its shape was chosen mainly for aesthetic reasons, the reason is far more interesting: the sphere is one of the most efficient forms found in nature. What if you could build a stronger home, use less material, and make better use of every square foot? that is precisely one of the greatest advantages of a geodesic dome. One of the main advantages of geodesic domes is that they make it possible to build spacious, strong, and modern homes with a budget that, in many cases, may be lower than that of a conventional building with similar characteristics, this advantage is not due only to material cost, but mainly to the remarkable efficiency of the dome’s geometry, its near-spherical form makes better use of every square foot of enclosure, allowing a large interior volume to be protected with a smaller exterior surface area. In practical terms, this means more usable space with less material required for the envelope, which can reduce the use of lumber or steel, cladding, thermal insulation, and other structural components. Another important advantage is the simplicity of the construction system, a dome is made of repetitive components that can be prefabricated and assembled on site in an organized sequence, reducing construction time and making the building process easier to manage, with proper planning, this method can also reduce labor costs. In addition, the integrated structural behavior of the dome usually eliminates the need for numerous interior load-bearing walls, providing greater freedom to arrange rooms according to the needs of each family and allowing future modifications with less difficulty, the large interior volume typical of domes also makes it possible to incorporate a mezzanine or second level without increasing the exterior envelope in the same proportion; as a result, it is possible to gain additional usable areas while maintaining a highly efficient structure, although the final savings will depend on the design, selected materials, level of finishes, project location, and regional labor costs, a properly designed geodesic dome can become one of the most competitive alternatives from an economic standpoint for those seeking a strong, functional, and architecturally distinctive home. Why Can a Dome Require Less Material? The answer lies in geometry. A sphere is the geometric solid that encloses the greatest volume with the least exterior surface area, because a geodesic dome approximates this form, it can cover large spaces with a more efficient envelope than many conventional buildings of equivalent size. In simple terms, less exterior surface area often means fewer materials are required to protect a comparable interior space, this geometric efficiency is one of the main reasons domes can offer an excellent balance between cost, strength, and usable space.

26 Example with four bedrooms: in the dome, two bedrooms can be placed upstairs and two downstairs. Alternatively, all four bedrooms can be placed upstairs, leaving more open space on the lower level, with less material, greater efficiency, and lower cost.

27 Strong Structure One of the greatest attributes of a geodesic dome is its exceptional structural strength, unlike many traditional building systems, where loads are carried mainly by beams, columns, and load-bearing walls, a dome behaves as an integrated spatial structure in which each strut actively contributes to load distribution. Its spherical geometry, combined with a three-dimensional triangular mesh, allows loads from self-weight, wind, rain, snow, and seismic actions to be transferred in multiple directions, as a result, stress concentration at specific points is reduced and the overall stability of the structure is significantly improved, this efficient load distribution makes it possible to build highly resistant structures with a relatively small amount of material, in other words, the dome achieves an excellent strength-to-weight ratio, a feature that has attracted the interest of architects, engineers, and designers around the world for decades, when properly designed, calculated, and built in accordance with applicable technical standards, a dome can withstand significant structural demands while maintaining a high level of stability and safety, its low self-weight also facilitates transportation of components, simplifies assembly, and helps optimize the construction process, because of these properties, geodesic domes are currently used in a wide range of projects, including homes, glamping units, eco-hotels, greenhouses, auditoriums, sports pavilions, tourist facilities, warehouses, laboratories, astronomical observatories, and many other applications requiring a lightweight, strong, and durable structure. WHY IS IT SO STRONG? The strength of a geodesic dome does not depend solely on the material from which it is built, but primarily on its geometry, each triangle acts as a non-deformable structural unit, and when hundreds of triangles are connected, they form a three-dimensional mesh capable of distributing loads over the entire surface of the dome, instead of concentrating stresses in only a few elements, the whole structure works together, sharing loads among many struts and connectors, this structural principle makes it possible to achieve buildings that are surprisingly lightweight and, at the same time, exceptionally strong. TECHNICAL NOTE Strength through geometry: a structure is not strong only because of the material from which it is made, but also because of the way that material is organized, spherical geometry and three-dimensional triangulation allow a geodesic dome to use the mechanical properties of wood, steel, or other structural materials very efficiently; for this reason, high levels of strength can often be achieved with less material than in other building systems with an equivalent usable area. KEY IDEA: The strength of a geodesic dome does not come from using more material, but from using it more intelligently, its geometry allows each strut to work together with the others, creating a lightweight, rigid, and exceptionally strong structure.

29 Energy Efficiency One of the major benefits of a geodesic dome is its energy efficiency, thanks to its semi- spherical shape, air circulates more evenly throughout the interior, reducing excessive heat or cold accumulation in specific areas, this helps maintain a more stable indoor temperature and improves occupant comfort. In addition, its geometry provides a smaller exterior envelope area in relation to the protected interior volume, as a result, heat exchange with the outdoor environment can be lower than in many conventional buildings with similar usable floor area, this helps preserve indoor temperature in both winter and summer, when the dome includes proper thermal insulation, correctly oriented windows, and effective natural ventilation, the energy required for heating and cooling can be reduced, this not only lowers operating costs over time, but also contributes to a more comfortable and efficient home; in warm climates, cross ventilation and the possibility of incorporating an upper vent allow hot air—which naturally rises—to escape, helping maintain a cooler indoor environment, in cold climates, the continuous envelope and interior volume help retain the heat generated inside the dwelling, ultimately, a dome’s energy efficiency depends not only on its shape, but on the combination of efficient geometry, sound bioclimatic design, and appropriate material selection, by maintaining indoor temperatures more effectively, a dome can reduce the need for heating or air conditioning, lowering energy consumption and operating expenses throughout the life of the home.

31 Building a Conventional House Usually Requires: Longer financing period. Higher investment. Longer construction time. More materials and more labor.

32 Building a Dome Home Usually Requires: Shorter financing period, if financing is required. Less material. Less labor. Reduced construction time when the project is properly planned. Lower investment, depending on the design, materials, finishes, and specific project conditions.

33 4. WHAT IS A GEODESIC DOME? Basic Concepts of a Geodesic Dome Before learning how a geodesic dome is generated, it is useful to become familiar with several terms that will appear throughout this manual. Triangle The triangle is the fundamental structural unit of a geodesic dome, unlike other geometric figures, a triangle preserves its shape when subjected to loads, which gives it great stability, when hundreds of triangles are connected, they form a rigid and highly resistant structure. Vertex A vertex is the point where two or more structural struts meet, connectors are installed at each vertex to transfer loads to the rest of the dome. Edge An edge is each strut that connects two vertices, the edges form the load-bearing skeleton of the dome and work together to distribute forces throughout the structure. Face A face is the surface enclosed by the edges, in most geodesic domes, the faces are triangular because the triangle provides the greatest structural stability. Polyhedron A polyhedron is a geometric solid made up of flat faces, geodesic domes are generated by subdividing polyhedral such as the icosahedron or the dodecahedron.

35 What Is a Geodesic Dome? The simplest way to understand a geodesic dome is to imagine a sphere, such as a balloon or a ball, from which only one portion is used, that portion of the sphere forms a curved structure capable of covering large spaces with remarkable efficiency. What makes a dome special is not only its shape, but also the way it is built, its structure is formed by hundreds of interconnected triangles that work together to distribute loads uniformly, providing high strength with a relatively small amount of material. From a geometric standpoint, it is a three-dimensional structure generally derived from an icosahedron, although it can also be generated from other polyhedral, such as the dodecahedron, its framework consists of a network of interconnected triangles that work together to create a lightweight, rigid, and highly resistant dome. Although some designs may show shapes that resemble pentagons or hexagons, the load- bearing structure of a geodesic dome is made of triangles, in fact, any polygon can be divided into triangles, which is why triangulation is the basis of this type of construction. As the number of triangles increases, the dome becomes progressively closer to a sphere, this is achieved through a greater number of vertices and subdivisions, which improves surface continuity and allows structural loads to be distributed more uniformly. To obtain these smaller triangles, the edges of the base polyhedron are subdivided into several parts, the number of subdivisions is called the frequency (V) and determines the dome’s level of detail and spherical approximation, this concept will be developed in the next chapter. What Does This Mean for You? Behind the shape of a geodesic dome lies a simple principle: all its elements work together. Instead of relying on a few main beams or columns, each strut shares part of the load with the others, forming a solid, lightweight, and efficient structure. The result is a building system that can require less material, provide spacious interiors, and make better use of every structural component, depending on the design and project conditions, this efficiency can translate into savings in materials, transportation, labor, and construction time. In addition, by distributing loads efficiently and taking advantage of its geometry, a properly designed and built dome can provide excellent structural performance, offering safety, comfort, and a more efficient home with lower construction and operating costs throughout its service life.

39 5. UNDERSTANDING GEODESIC FREQUENCY (V) As you can see in the following figures, the greater the number of triangles that make up a geodesic dome, the higher its frequency (V), this causes the structure to approximate the shape of a sphere more closely, giving it a rounder appearance and a more uniform distribution of its structural members. Although this concept may seem highly technical, understanding frequency is important because it directly affects the number of struts, connectors, and materials required to build the dome, as well as the overall cost and construction complexity. By contrast, a low-frequency dome has larger triangles, a more faceted geometry, and requires fewer structural members, making it generally faster and more economical to build. Notice the difference in triangle size at each frequency: As the number of triangles increases, the dome becomes rounder and distributes loads more effectively, at higher frequencies, the triangles are smaller, the dome more closely approximates a sphere, and the loads are distributed more uniformly across the structure.

40 Now that you understand what frequency means, observe how the dome’s shape changes as the frequency increases:

41 FREQUENCY 1 (1V) This is the lowest frequency and the simplest geometry, it has few triangles and a highly faceted shape, so it is usually not used for permanent housing, however, it is suitable for small temporary structures, shelters, pergolas, recreational spaces, or experimental projects where ease of construction and low material consumption are more important than achieving a perfectly spherical form. Characteristics • Smallest number of triangles. • More faceted geometry. • Simple and economical construction. • Suitable for small structures where a spherical appearance is not a priority. Most Common Uses • Pergolas. • Kiosks. • Temporary shelters. • Small cabins or booths. • Small recreational structures.

43 FREQUENCY 2 (2V) Frequency 2 represents a balance between simplicity and functionality, its shape begins to approximate a sphere, while still allowing the construction of strong domes with a relatively small number of components, it is one of the preferred frequencies for small domes intended for glamping units, greenhouses, meeting rooms, or recreational spaces. Characteristics • Closer approximation to a sphere than a 1V dome. • Good balance between strength, simplicity, and cost. • Requires a moderate number of components. • Widely used in small- and medium-sized projects. Most Common Uses • Small homes. • Glamping units. • Lookout structures. • Transparent domes. • Recreational areas.

46 FREQUENCY 3 (3V) Frequency 3 is probably the most widely used option for residential domes because it provides an excellent balance between appearance, strength, ease of fabrication, and cost. Frequency 3 is one of the most used configurations in geodesic dome construction, its greater number of triangles creates a significantly more spherical shape than lower frequencies, improving load distribution while offering an excellent balance between structural strength, architectural appearance, and construction cost. Characteristics • Good approximation to a sphere. • Excellent strength-to-weight and cost ratio. • Greater structural rigidity than 1V and 2V domes. • Allows doors, windows, and skylights to be integrated more easily. • Requires a moderate number of struts and connectors. Common Applications • Permanent homes. • Glamping units and tourist accommodations. • Offices and studios. • Restaurants and cafés. • Classrooms and educational spaces. • Medium-sized event halls.

49 FREQUENCY 4 (4V) Frequency 4 provides a geometry that is much closer to a sphere, resulting in a smoother and more elegant appearance, its larger number of structural elements improves stress distribution and makes it possible to span larger spaces with excellent stability, it also produces a more continuous and spherical surface, which enhances the architectural appearance and facilitates the installation of certain finishes, although it requires a greater number of struts and connectors to be fabricated. Characteristics • Shape very close to a sphere. • More uniform load distribution. • Greater capacity for larger spans. • Better integration of panoramic windows and skylights. • Requires more components and fabrication time than a 3V dome. Common Applications • High-end homes. • Hotels and resort complexes. • Interpretive centers. • Event halls. • Panoramic restaurants. • Domes for astronomical observation.

52 FREQUENCY 5 (5V) Frequency 5 domes have highly refined geometry, with smaller triangles that create an almost spherical surface, this configuration provides excellent load distribution and a very attractive architectural finish, it allows larger-diameter domes to be built with a nearly spherical appearance and is commonly used when a high aesthetic level or a large-scale structure is required. Characteristics • Nearly spherical appearance. • Excellent structural performance. • Greater uniformity in stress distribution. • Allows complex architectural designs. • Requires more precise fabrication and installation due to the high number of structural elements. Common Applications • Large homes. • Luxury resorts and hotels. • Auditoriums. • Convention centers. • Large greenhouses. • Recreational and cultural spaces.

54 HIGHER FREQUENCIES (6V) + Starting at frequency 6, the dome achieves an appearance very close to a perfect sphere, however, the increase in the number of struts, connectors, and joints also significantly increases construction complexity, fabrication time, and overall project cost. In practice, frequencies higher than 6V are usually reserved for special projects where an almost perfect geometry is desired or where large dimensions are required, such as auditoriums, planetariums, botanical gardens, sports centers, or buildings in which a nearly spherical appearance is a design requirement. Characteristics • Geometry extremely close to a sphere. • Very uniform load distribution. • High geometric precision. • High number of struts, vertices, and connectors. • Greater complexity in fabrication, assembly, and dimensional control. • Significantly higher construction costs. Common Applications • Large greenhouses. • Botanical gardens. • Planetariums. • Museums. • Science centers. • Roofs for public spaces. • Sports facilities. • Large-scale architectural projects.

55 BIOSFERA 2 PLANTA DE BIOGAS

56 Which Frequency Is Best for My Project? The choice of frequency will depend on the intended use of the dome, the available budget, the desired appearance, and the level of construction complexity you are willing to manage. • 1V–2V: These are the most economical and simplest options to build, they are recommended for small structures, pergolas, shelters, greenhouses, and projects where speed and low cost are priorities. • 3V: This frequency offers the best balance between cost, strength, ease of construction, and appearance. It is the most used option for homes, glamping units, and most residential projects. • 4V–5V: These frequencies are recommended when a more spherical appearance, better integration of architectural finishes, or larger dome dimensions are desired, their construction requires more components and a higher level of precision. • 6V or higher: These frequencies are mainly used for special large-scale projects or high-end architectural designs, although they provide an almost spherical geometry, they also involve significantly more complex fabrication, assembly, and dimensional control, so their cost is usually higher. Practical Recommendation If you are building your first dome and want a good balance between cost, strength, ease of construction, and appearance, a 3V frequency is usually the most recommended alternative for most homes and glamping projects. Higher frequencies can provide a more spherical and refined appearance, but they also increase the number of components, fabrication time, and project cost, for this reason, before selecting a frequency, it is advisable to carefully evaluate the specific construction requirements and the available budget.

57 6. UNDERSTANDING THE SPHERE As explained earlier, a geodesic dome is not a complete sphere, but a portion of one, in other words, if we imagine a sphere as a perfectly round balloon, the dome corresponds only to part of that surface, which is used to form the structure of the building. A sphere can be divided into different geometric regions, including spherical caps and spherical zones; these divisions make it possible to create domes with different heights and proportions, adapting the structure to the specific needs of each project. The selected portion of the sphere is one of the most important design decisions because it determines the dome height, the available usable area, the inclination of the walls, the perceived spaciousness of the interior, and even the amount of material required for construction, consequently, two domes with the same diameter can have very different appearances and performance simply because they use different portions of the sphere. • Spherical cap: The upper portion of a sphere obtained by making a single horizontal cut. • Spherical zone: A band of a sphere located between two parallel horizontal cuts.

58 Although a sphere can be divided into spherical caps and spherical zones, geodesic domes used for homes, glamping units, and most construction applications are almost always based on a spherical cap, for this reason, this manual focuses on that type of sphere portion, since it is the one most used in the design and construction of geodesic domes. Spherical zones are used in specific geometric and architectural applications, but they do not correspond to the usual form of a geodesic dome. Sphere Portion It is important to understand sphere portions because the same geodesic frequency can be built using different fractions of the sphere, the combination of frequency (V) and sphere portion is what ultimately defines the dome’s final shape. For example, in homes, glamping units, and small buildings, the 3V frequency is one of the most widely used because it offers an excellent balance between structural strength, rounded appearance, ease of fabrication, and construction cost, however, this same frequency can be used with different sphere portions, producing lower or higher domes depending on the needs of the project. When the dome diameter exceeds approximately 39 ft, it is often advisable to use a 4V frequency because it includes a larger number of structural members and distributes loads more uniformly, however, larger-diameter domes can also be built with a 3V frequency, provided that the structural design specifies higher-strength materials, appropriate beam sizing, and the necessary reinforcements to ensure structural safety. A simple way to understand sphere portions is to imagine a sphere divided horizontally into equal parts. If the sphere is divided into eight parts, a 3/8 portion means that the dome uses only three of those eight parts measured from the top of the sphere, similarly, a 5/8 portion uses five of the eight parts, producing a considerably taller dome. It is also common to divide the sphere into nine equal parts. In this case, a 4/9 portion represents four of those nine parts, while a 5/9 portion corresponds to five parts, although the difference may seem small, it significantly affects the dome’s height, interior volume, and final appearance. In general, the larger the sphere portion used, the greater the dome height and the interior volume available, for this reason, selecting the appropriate sphere portion depends on the intended use of the building, the interior layout, and the architectural preferences of the project. Next, we will see how the most used sphere portions are represented graphically for each geodesic frequency.

59 Sphere Portions for Frequency 3 Kruschke Method Once the frequency and sphere portion have been defined, the next step is to determine the dimensions of all the elements that will form the geodesic dome. Although the structure may appear complex at first, there is a procedure that greatly simplifies this design process, one of the best-known and most widely used approaches is the Kruschke method, developed to quickly calculate the dimensions required to build geodesic domes of different frequencies and sizes. This method makes it possible to determine, from the dome diameter, the strut lengths, vertex locations, and general structural proportions, avoiding the need to perform complex geometric calculations for each project.

60 As a result, domes can be designed in an organized, accurate, and reliable way, with a greatly reduced margin of error, this has made the Kruschke method a widely used tool among builders, designers, and geodesic dome enthusiasts around the world, in the following pages, you will learn step by step how to use this method to design your own dome; in this method, the base is flat, in other configurations, the base may be irregular, the white lines shown in the diagrams represent the center of the sphere.

62 Sphere Portions for Frequency 4 For a frequency 4 (4V) dome home, the sphere can be divided into 12 equal parts, in this case, a 5/12 portion represents five of those twelve parts, while a 7/12 portion represents seven parts, this fraction indicates how much of the sphere will be used to form the dome, alternatively, the design may use one half of the sphere, depending on the desired height, interior volume, and architectural requirements of the project.

65 7. UNDERSTANDING DIAMETER AND RADIUS Diameter and Radius The diameter is the straight line that crosses a circle from one side to the other, passing exactly through its center. The radius, on the other hand, is the line segment that connects the center of the circle to any point on its perimeter. For this reason, the radius is always equal to one half of the diameter. In the case of a dome, the diameter corresponds to the total width of its base; that is, the distance from one side to the other of the circle on which the structure will rest.

66 Area Area is a mathematical concept used to quantify the extent of a two-dimensional surface; in other words, the space contained within the boundaries of a geometric figure, to calculate the area of a dome base, the same formula used to calculate the area of a circle is applied, because the dome base is circular. Area = π × r² where: • π (pi) ≈ 3.1416 • r = radius of the circle • A = base area Because the radius is one half of the diameter, you must first know the diameter of the dome you want to build to correctly determine the area it will occupy on the site. For example, if the dome has a diameter of approximately 32.8 ft, its radius will be approximately 16.4 ft. Applying the formula: A = 3.1416 × 16.4² ≈ 845 sq ft This means that the dome base will occupy approximately 845 square feet. Before defining the dome diameter, it is also important to verify the dimensions of the site, if you want to build a dome approximately 32.8 ft in diameter, the site must have a clear width greater than that measurement, it is also advisable to leave additional space around the structure for construction access, drainage, circulation, maintenance, and future expansion, in other words, the site should always be wider than the diameter of the dome you intend to build. If the project includes a mezzanine or second level, the usable floor area will increase considerably. In a dome approximately 32.8 ft in diameter, it is possible to obtain about 538 sq ft of additional area, although this value will depend on the interior design, for example, if a double-height living room or open central space is desired, the available area on the second level will be smaller than in a design where the mezzanine occupies a larger portion of the plan. Remember To calculate the area of the dome base, use the following expression: A = π × r² where: • A = base area. • π ≈ 3.1416. • r = dome radius, equal to one half of the diameter. Quick Example Diameter = approximately 32.8 ft

67 Radius = approximately 16.4 ft Area = approximately 845 sq ft Why is it important to know the area? Knowing the area of the dome base allows you to estimate the quantity of materials needed for flooring, cladding, paint, thermal insulation, furniture, and even the number of people who can comfortably occupy the space, it is also essential for preparing the project budget and planning the interior layout. Difference between Area and Perimeter While perimeter measures the length around the boundary of a figure, area measures the space contained within that boundary.

69 8. CHOOSING THE SIZE OF YOUR DOME Three Important Concepts At this point, you already know the three fundamental concepts that determine the design of a geodesic dome: frequency (V), sphere portion, and diameter, although each one serves a different purpose, they work together to define the shape, height, material quantity, and available interior space. The right combination of these three factors will allow you to design a dome that fits your needs, whether for a home, glamping unit, greenhouse, workshop, office, or any other project, at this stage, you can also evaluate whether the structure will have one, two, or even three levels. When sphere portions smaller than one half are used, such as 3/8, 4/9, or 5/12, the curvature begins to close inward as the dome rises, as a result, some of the space near the perimeter may be less usable, especially when a second floor is planned. For this reason, in small-diameter domes, the interior layout should be planned carefully to avoid areas that are difficult to use. As shown in the following figure: If the diameter increases, the situation changes considerably. With a wider base, the curvature begins farther from the center, and the available usable space increases significantly.

70 The larger the dome diameter, the greater its height and available interior volume, making it easier to incorporate additional rooms and levels. As you can see, increasing the diameter makes much better use of the interior space and reduces the areas where curvature limits usable height.

71 However, increasing the diameter is not the only way to gain interior space, another widely used solution is to build a vertical perimeter wall, or knee wall, on which the dome rests, this element may be built with wood, brick, concrete, blocks, or other materials compatible with the project, by raising the point where the curvature begins, the usable wall height increases, allowing the interior spaces to be arranged more effectively. As shown below:

72 Or in this way as well: With this system, it is possible to design two-story domes even when using sphere portions smaller than one half, provided that the diameter, structure, and interior layout allow the available space to be used efficiently. If a larger sphere portion is also used, such as 5/8 or 5/9, in combination with a raised perimeter wall, the interior volume increases considerably.

73 This configuration provides greater flexibility for incorporating mezzanines, additional rooms, double-height spaces, and even a third level in large-diameter domes, provided that the structural design has been developed to support those loads. Observe the following examples of two- and three-story domes.

75 With all this information, you now have the necessary criteria to choose the most appropriate size for your dome. Before making a final decision, carefully analyze the following aspects:

76 There is no single “perfect” size for every dome, the best choice is the one that achieves the right balance between the available site area, the budget, the intended use, and the level of interior comfort you want to obtain, a well-planned design from the beginning will help avoid costly modifications during construction.

77 9. BUILDING YOUR GEODESIC DOME Before cutting the first beam or fabricating a single connector, it is essential to correctly define the main characteristics of the dome, a well-planned project reduces errors, optimizes material use, and greatly simplifies the construction process. In the previous chapters, we learned what diameter is, how frequency affects the design, and how the selected sphere portion changes the dome’s shape and height, we will now integrate all these concepts into a logical procedure that will allow us to obtain the complete structural design. The following process summarizes the key decisions that must be made before fabricating the components and assembling the dome. GENERAL STEP-BY-STEP PROCESS FOR DESIGNING A GEODESIC DOME 1. DEFINE THE AVAILABLE SITE AREA Evaluate the dimensions of the site and the space needed for access paths, setbacks, gardens, parking areas, and future expansions. 2. DEFINE THE DOME DIAMETER The diameter will depend on the available site area, the intended use, and the interior space you want to obtain. 3. SELECT THE FREQUENCY (V) The frequency (2V, 3V, 4V, 5V, and so on) determines the level of sphere subdivision and the number of triangles that will form the dome. 4. SELECT THE SPHERE PORTION The sphere portion (3/8, 4/9, 5/9, 5/8, and others) defines the dome’s height, shape, and proportions.

78 5. APPLY THE KRUSCHKE METHOD This method provides complete dome geometry by calculating the vertices and the distribution of all structural elements. 6. OBTAIN THE FINAL DOME GEOMETRY The final design is obtained, including strut lengths, vertex locations, and the complete shape of the structure. 7. CALCULATE MATERIAL QUANTITIES (STRUTS AND CONNECTORS) Determine the number of struts of each length, the connectors, and the main materials required for construction. 8. READY TO FABRICATE AND BUILD Once all the information has been calculated, you can fabricate the components and begin assembling the dome. Note: The site size is the starting point of the design, a small lot will limit the maximum dome diameter, while a larger lot will allow larger structures to be built and exterior spaces to be planned more effectively. DETAILED DEVELOPMENT OF EACH STEP 1. Define the Available Site Area The size of the site is the starting point of the design, before deciding the dome diameter, it is necessary to know the actual space available, considering not only the area occupied by the structure itself, but also the areas required for access paths, gardens, parking, drainage, setbacks, and possible future expansions. A small site will limit the maximum dome diameter, while a larger site will provide greater freedom to select the size of the structure and organize the exterior spaces properly. 2. Define the Diameter The diameter determines the usable area of the dome and influences practically all subsequent design decisions, based on this measurement, the geometry, strut lengths, material quantities, and available space for the interior layout will be calculated.

79 3. Select the Frequency Frequency defines the number of subdivisions of the sphere, a low frequency requires fewer components and is more economical, while a high frequency provides a more spherical form and a more refined architectural appearance. 4. Select the Sphere Portion The sphere portion primarily determines the height of the dome, depending on the selected fraction, the structure may be low, medium-height, or very tall, adapting to the intended use and the interior layout. 5. Apply the Kruschke Method Once the diameter, frequency, and sphere portion have been defined, the Kruschke method makes it possible to calculate the complete geometry of the dome, including the position of each vertex and the dimensions required to fabricate all components accurately. 6. Obtain the Final Geometry At this stage, the complete dome model is available, including the location of each strut, the different lengths used in the structure, and the final shape of the construction. 7. Calculate the Material Quantities With the geometry fully defined, the material list can be prepared by determining the number of beams or struts of each length, as well as the required connectors, screws, bolts, and other components needed for fabrication and assembly. 8. Prepare Fabrication and Construction With all the previous information available, fabrication of the components can begin, materials can be organized, the assembly sequence can be planned, and dome construction can start with a high degree of precision. Important This procedure may seem lengthy, but it is a valuable investment of time that will prevent many problems during construction; every decision made at this stage will directly influence the cost, ease of assembly, use of interior space, and structural performance of the completed dome.

80 To build your dome, consider three main parts: - Base - Structure - Interior BASE The base is the first structural element of the geodesic dome and is responsible for transferring all loads to the ground, a properly designed and built base ensures structural stability, facilitates assembly, and extends the service life of the dwelling, two widely used alternatives are available: a wooden base and a concrete base, each with specific advantages depending on the project type, site conditions, and budget. Depending on the site conditions and your budget, the base can be built in two ways: - Wooden base - Concrete base 1. Wooden Base A wooden base is a practical, lightweight, and fast construction alternative for supporting a geodesic dome intended for residential use, its main function is to create a firm, level, and resistant platform on which the entire dome structure will rest, while preventing direct contact with the ground and protecting the building from moisture. This type of base is especially recommended on sites where pouring a concrete slab is not desired, in remote locations where transporting heavy materials is costly, or when a more ecological, removable, and economical construction system is preferred, it also allows faster work and facilitates the routing of plumbing, electrical conduits, and drainage lines below the floor before it is closed. The base must be built on firm, well-leveled supports, such as concrete piers, piles, isolated footings, or structural blocks, depending on the soil conditions, the main wooden beams are placed on these supports to form a resistant frame that distributes the weight of the dome evenly. Secondary joists or sill members are then fixed over this frame, and finally the floor sheathing is installed, using OSB, structural plywood, or another suitable resistant material. It is very important that all lumber used must be dry, planned, and treated against termites, moths, fungi, and moisture, it is also advisable to apply wood preservative, sealer, or waterproof varnish, especially in areas close to the ground or exposed to exterior conditions, proper protection will extend the service life of the base and help prevent deformation, rot, or structural weakening over time. The shape of the base will depend on the frequency and sphere portion selected for the dome, in some cases it may be circular, but in practice it is often built as a regular polygon: for example, a 15-sided base for a 3V dome or a 20-sided base for a 4V dome, each side of the

81 polygon must follow the dimensions provided by the dome calculator, because the first line of connectors and structural struts will be fixed along this perimeter. Before closing the floor, plumbing and electrical installations must be planned in advance, including water supply, drainage outlet, electrical conduits, solar panel connections, if they will be used, and any other required piping, once the floor sheathing has been installed, modifying these routes will be much more difficult. Finally, the base must be perfectly level, square, and securely anchored to the ground, if the base is not properly built, dome assembly may present alignment problems, inclinations, or gaps between components, for this reason, even when it is made of wood, the base must be considered a fundamental structural part of the dwelling and not simply a floor. A well-designed wooden base offers several advantages: it reduces weight, accelerates construction, simplifies material transportation, allows dry construction methods, and adapts very well to rural, beach, or countryside sites, however, it must always be properly protected against moisture and inspected periodically to ensure that it remains in good condition. Leveling and Anchoring the Wooden Base To level the base, first clean the work area by removing stones, roots, debris, and any loose material that could cause future settlement; next, mark the dome perimeter on the ground, using the selected diameter as reference and locating the center of the circle, from that center point, lay out the distances to each side of the base, verifying that the polygon is evenly distributed and that all sides match the dimensions indicated by the dome calculator. Once the perimeter has been marked, install the main base supports, these may be concrete piers, piles, isolated footings, structural blocks, or pedestals, depending on soil type and available budget, the important point is that all support must be firm, aligned, and at the same height, this can be checked using a clear water hose level, a laser level, a long spirit level, or a metal straightedge placed between points, leveling should be checked several times, because a small difference at the beginning can become a significant problem when the dome structure is assembled. If any support is lower than the others, it can be corrected with mortar, a steel plate, a solid shim, or by adjusting the pedestal height, always avoiding weak or improvised solutions, if a support is too high, it must be reduced or the ground adjusted before continuing, the beams should not be forced to fit, because the wood could remain under stress, deform over time, or transmit irregular forces to the dome structure. When the supports are level, install the main base beams and verify again that the entire frame is horizontal, in addition to checking level, measure the platform diagonals to confirm that it is square, if the diagonals do not match, the base must be adjusted before it is permanently fixed; in a polygonal base, it is also important to verify that each side maintains its required dimension and that the center of the base coincides with the center of the dome. The anchoring method will depend on the type of support used, when working on concrete piers or footings, it is recommended to embed anchor bolts during concrete placement or install expansion anchors after the concrete has cured, steel plates, brackets, or supports that hold the wooden beams are then fixed to these bolts, a moisture barrier, such as asphalt membrane, waterproof membrane, or plastic separator, should be placed between the wood and the concrete to prevent moisture absorption through direct contact.

82 On sites exposed to strong winds, sandy soils, or slopes, anchoring must be designed with greater care, deeper piles, larger footings, steel ties, or additional tension anchors may be required to prevent uplift of the structure, before starting dome assembly, the base must feel firm, with no movement, vibration, or loose points, only when the platform is level, square, and securely anchored should the installation of the connectors and the first ring of dome struts begin.

85 2. Concrete Base A concrete base is one of the firmest and most durable options for building a geodesic dome intended for residential use, its main function is to create a solid, level, and resistant surface on which the entire structure will rest, distributing loads uniformly to the ground and reducing the risk of later settlement, deformation, or movement. This type of base is especially recommended when the dome will be used as a permanent residence, when interior finishes such as ceramic tile, porcelain tile, polished concrete, or laminate flooring are planned, or when the site allows the use of heavy materials and provides access for transporting sand, gravel, cement, reinforcing steel, and, if necessary, ready-mix concrete. Before deciding to build a concrete base, it is important to assess the soil conditions, if the ground is very soft, clayey, sandy, recently filled, damp, or located on a steep slope, the most prudent approach is to consult an experienced builder, a civil engineer, or a soil specialist, a poorly supported base may crack, settle, or transfer problems to the entire dome structure. The first step is to clean and prepare the area where the slab will be built, remove the topsoil layer, roots, loose stones, debris, and any organic material that could decompose over time, then level the ground, compact it carefully, and establish a reference elevation so the entire base remains horizontal, proper compaction is essential because the concrete must rest on a firm and even surface. Next, mark the dome perimeter, although the dwelling has a circular form, in practice the base may be laid out as a circle or as a regular polygon, depending on the selected frequency and sphere portion, for example, a 3V dome may use a 15-sided base, while a 4V dome may use a 20-sided base, the key is to locate the center correctly, measure the radius to all perimeter points, and verify that the dimensions match the dome calculator. Over the compacted ground, it is recommended to place a granular subbase, such as compacted fill, gravel, or fine crushed stone, evenly spread and well compacted, this layer improves slab support, facilitates drainage, and reduces direct contact between the concrete and soil moisture, in humid areas, or where moisture-sensitive finishes will be installed, a vapor barrier or heavy plastic sheet should be added over the subbase, making sure the overlaps are properly sealed. Before pouring the concrete, all utilities that will pass below or through the slab must be planned: water supply pipes, drainage lines, sanitary vents, electrical conduits, septic tank connections, biodigester outlets, grounding, and conduits for solar panels if they will be used, it is advisable to protect the pipes with fine sand or another suitable material and verify their slopes, especially for drainage lines, because correcting errors after the concrete has been poured will be much more difficult. Then assemble the formwork or perimeter mold for the base, using boards, plywood, metal, or another material capable of containing fresh concrete, the formwork must be firm, well aligned, and level, because it will define the final shape of the slab, if a circular base is desired, the formwork can be built in short sections to better follow the curve, if a polygonal base is used, each side must match the dimension indicated in the dome design. The concrete slab must include steel reinforcement according to the dome size, soil type, and expected loads, for small projects, welded wire mesh or a rebar grid may be used, always

86 raised from the ground with chairs or spacers so the steel remains within the concrete thickness and does not rest directly on the subbase, for large domes, two-story domes, or projects with heavy interior walls, the reinforcement design should be reviewed by a professional. It is also advisable to reinforce the slab edge, because this is where the first line of connectors, beams, or low perimeter walls of the dome will be supported, this edge may be made slightly thicker or complemented with a reinforced concrete perimeter beam, depending on the selected design, the perimeter beam helps distribute loads more effectively and provides a safer area for installing anchor bolts. Anchoring the structure to the concrete must be planned before pouring, a practical approach is to leave anchor bolts embedded in the concrete, placed exactly where the connectors, steel plates, sill plates, or dome base fixing points will be located, to achieve this, first mark the perimeter, define the position of each support, and fasten the bolts to the formwork or to a temporary template, ensuring that they remain vertical and at the correct height. If anchor bolts are not embedded during the pour, they can also be installed later by drilling and using expansion anchors or chemical anchors, always respecting the depth, spacing, and strength recommended by the manufacturer, however, whenever possible, it is cleaner and safer to plan the anchors from the beginning, because this avoids drilling into newly placed concrete and reduces the margin for error. During pouring, the concrete must be distributed evenly, avoiding voids or poorly compacted areas, a screed can be used to level the surface, using the formwork or previously placed guides as reference, it is also advisable to provide a slight slope toward the exterior if the base will be exposed to rain during construction, or to include drains and water outlets so puddles do not form inside the dome area. Once the concrete has been poured, the overall level and perimeter alignment should be checked again, the surface may be floated, polished, or prepared to receive a later finish, depending on the intended interior use of the dwelling, it is important not to begin assembling the dome until the concrete has reached sufficient strength and the anchors are firmly set. Concrete curing is a very important stage, during the first few days, it is recommended to keep the slab moist, cover it with plastic, or protect it from strong sun and wind to prevent it from drying too quickly and developing surface cracks, proper curing improves the strength, durability, and long-term performance of the base. Finally, before assembling the dome structure, verify that the base is clean, dry, level, and free of significant cracks, also check the perimeter dimensions, bolt locations, center point of the circumference, and spacing between anchoring points, if the base has been correctly laid out and built, dome assembly will be much faster, more accurate, and safer.

87 Figure. Concrete pouring for the base of a geodesic dome: formwork, compacted subbase, reinforcing mesh, planned utilities, and anchor bolts before assembling the structure.

88 In either case, whether you choose a wooden base or a concrete base, it is essential to plan all utilities before closing the floor, water supply and drainage pipes, as well as electrical conduits, must be installed and correctly located before sealing the wooden base or pouring the concrete, if solar panels will also be used, the corresponding wiring route must be planned in advance, leaving the required outlets and connection points to avoid later drilling or modifications. Figure. Planning utilities before closing the base: water supply and drainage pipes, electrical conduits, solar panel wiring, and connection points must be positioned before sealing the wood or pouring the concrete.

89 Base for 3V Dome (15 sides) Base for 4V Dome (20 sides) The sides of the base may all have the same length or may have different lengths, depending on the selected frequency and the sphere portion used in the dome design. As an example, consider a frequency 3 (3V) geodesic dome with a 5/9 sphere portion and a diameter of approximately 32.8 ft, in this configuration, the structure is made up of four types of struts, identified as A, B, C, and D, the length of each strut depends directly on the selected diameter, for this example, the structure requires a total of 165 struts distributed as follows: • 30 type A struts, approximately 5.41 ft each. • 35 type B struts, approximately 6.27 ft each. • 80 type C struts, approximately 6.91 ft each. • 20 type D struts, approximately 7.23 ft each. Note that not all struts are the same length, this difference is a result of the geodesic subdivision of the sphere, each strut type occupies a specific position within the structure and must therefore be fabricated exactly according to the calculated dimensions. The strut sequence that forms the dome base is distributed as shown in the following figure:

90 Keep in mind that the base will vary according to the diameter and sphere portion you choose for your dome. Recommended Calculators Several specialized calculators are available to automatically generate strut dimensions, base geometry, connector quantities, and assembly diagrams for different geodesic frequencies, diameters, and sphere portions, the following are among the tools most used by the international geodesic dome building community: http://www.domerama.com/calculators/ (right-click — open hyperlink) http://www.desertdomes.com/domecalc.html (right-click — open hyperlink) https://acidome.com/ (right-click — open hyperlink) https://geo-dome.co.uk/article.asp?uname=calculation (right-click — open hyperlink)

91 Recommendations before starting dome assembly Before installing the first row of struts and connectors, verify that: • The base is completely level. • The perimeter dimensions match the dome design. • The bolts or anchors are correctly positioned. • The plumbing and electrical installations have been checked. • The wood is protected against moisture or, if a concrete base is used, the concrete has reached sufficient strength before assembly begins. • Check the base diameter and the location of the dome’s center point once again before installing the first structural ring. Many errors occur precisely because the center point was displaced by a few centimeters, even a small offset can affect the alignment of the first structural ring, these checks reduce assembly errors and help ensure that the structure is properly aligned from the beginning. STRUCTURE In the structure, four main components must be considered: - Structural struts - Connectors - Cladding system - Doors and windows 1. Structural struts The struts are the main structural members of the geodesic dome, each strut forms one side of the triangles that make up the structure and, when joined by connectors, they create a three-dimensional mesh capable of distributing loads uniformly over the entire dome surface, through this coordinated action, the structure achieves high rigidity, strength, and stability while using a relatively small amount of material. The length of each strut depends primarily on the dome diameter, as well as on the frequency and sphere portion selected for the project, these three parameters define the structural geometry and, consequently, the dimensions of all components that must be fabricated. To form the structure correctly, not all struts have the same length, depending on the selected design, several types of struts will be required, usually identified by letters (A, B, C, D, and so on); as the dome frequency increases, both the number of different strut lengths and the total number of required components also increase.

92 Number of struts according to frequency and sphere portion: • 3V domes using a 3/8 or 4/9 sphere portion require 120 struts. • 3V domes using a 5/8 or 5/9 sphere portion require 165 struts. • 4V domes using a 5/12 sphere portion require 190 struts. • 4V domes using a 1/2 sphere portion require 250 struts. • 4V domes using a 7/12 sphere portion require 310 struts. Number of different strut Lengths: • 3V domes using a 3/8 or 5/8 sphere portion use struts of 3 different lengths. • 3V domes using a 4/9 or 5/9 sphere portion use struts of 4 different lengths. • 4V domes, whether using a 5/12, 1/2, or 7/12 sphere portion, use struts of 6 different lengths. Because of the large number of possible combinations between diameter, frequency, and sphere portion, there is no single table that applies to all domes. For this reason, it is much more practical to use a geodesic dome calculator, which automatically generates the dimensions of each strut, the number of components, the connector layout, and the assembly diagrams required for construction. CALCULATORS The following links provide access to geodesic dome calculators that allow you to obtain strut dimensions, component quantities, required connectors, and assembly diagrams according to the diameter, frequency, and sphere portion selected for your dome. http://www.desertdomes.com/domecalc.html (right-click — open hyperlink) http://www.domerama.com/calculators/ (right-click — open hyperlink) https://acidome.com/ (right-click — open hyperlink) Strut thickness The thickness or cross section of the struts will depend on the dome size, the type of lumber available, the required structural strength, and the site conditions where the dome will be built, for this reason, there is no single standard size suitable for all projects. As a general reference only, some domes of approximately 39 ft in diameter use 4 × 2 in. struts; however, this dimension should not be considered a universal rule, the final cross section must be determined through proper structural design or with professional guidance when the project is intended for permanent use or involves large dimensions. Wood quality The quality of the lumber directly affects the strength and durability of the geodesic dome, before fabricating the struts, it is recommended to verify that the lumber meets the following requirements: • It is dry or has an appropriate moisture content. • It has been properly planned and dimensioned. • It does not show deep cracks, decay, or insect damage.

93 • It has as few large knots as possible, especially near the ends. • It has received protective treatment against fungi, termites, and other wood- destroying organisms when environmental conditions require it. Properly selected lumber will make structural assembly easier, reduce deformation over time, and help extend the service life of the dome. Cutting and preparing the struts Once the dimensions have been obtained from the dome calculator, all struts can be cut, to make assembly easier, it is recommended to group the pieces according to their length and identify them with the letters assigned in the design (A, B, C, D, etc.), this classification will prevent confusion during assembly and allow the work to proceed faster and in a more organized manner. Cuts must be made accurately, following exactly the lengths indicated in the drawings, an error of only a few thousandths of an inch can accumulate when dozens of pieces are joined together, making it difficult to close the structure correctly or causing minor deformations. After cutting, it is advisable to verify that all struts within each group have the same length and to remove splinters or imperfections with light sanding, especially in the areas where the connectors will be installed, if the lumber has not yet received protective treatment, this is the appropriate time to apply products against fungi, termites, and moisture, allowing the wood to dry completely before assembly. Keeping the struts classified and stored in a dry, protected location will greatly facilitate dome assembly and help preserve the quality of the lumber until installation. Recommendations for the struts Before starting dome assembly, it is recommended to verify the following: • All struts are correctly identified according to their length (A, B, C, D, etc.). • The quantity of pieces matches the list obtained from the dome calculator. • The dimensions of each strut are correct before drilling or installing the connectors. • The lumber is dry and free from significant deformation, deep cracks, or insect damage. • Protective treatments have been applied in advance when the lumber will be exposed to moisture or weather conditions during construction. • The struts are stored on raised surfaces and protected from direct contact with the ground to prevent moisture absorption. Proper strut preparation will reduce errors during assembly and allow the structure to be erected with greater precision, speed, and safety.

95 2. Connectors Connectors are the components responsible for joining the struts that form the triangular framework of the dome, they perform a function similar to ligaments in the human body: they keep the different pieces joined and correctly aligned, however, unlike ligaments, connectors remain rigid and immobile once the structure has been installed. Connectors are generally star-shaped and may have four, five, or six arms, depending on the number of struts that must be joined at each connection point, this configuration corresponds to the dome’s geometry, where the triangles form patterns composed of pentagons and hexagons. In addition to joining the struts, connectors must incorporate the appropriate inclination angle, this angle allows each joint to follow the curvature of the sphere, enabling the structure to correctly acquire its geodesic form. As a general reference: • Frequency 3 domes (3V): between 10° and 12°. • Frequency 4 domes (4V): between 7° and 9°. • Frequency 5 domes (5V): between 6° and 7°. • Frequency 6 domes (6V): between 5° and 6°. There are several connector systems; however, one of the most used alternatives, because of its simplicity and low cost, consists of fabricating the connectors from steel flat bars, this type of connector can be manufactured in a welding and metalworking shop using materials that are normally easy to obtain from industrial hardware stores or steel suppliers. To increase the strength of the joint, one connector may be installed on the inner face and another on the outer face of the struts, however, depending on the dome size, the type of lumber, and the structural design, a single connector per joint may also be used, in fact, many dome calculators consider only one connector at each joint in their calculations, so the final decision should be made according to the structural requirements of each project. Calculating the Connector Inclination Angle The connector inclination angle is derived from the dome geometry; its purpose is to prevent the struts from remaining in a single plane and instead allow them to follow the structure’s characteristic spherical curvature. To calculate it correctly, the following must be known: • the dome diameter • the geodesic frequency • the selected spherical segment, and • the subdivision method used. In practice, using a dome calculator is recommended because these tools provide the strut lengths and the information required to fabricate the connectors correctly. The most important parameter is the dihedral angle—the angle between two adjacent triangular faces of the dome, this value determines the required inclination of each connector arm.

96 As a reference, connectors in frequency 3 (3V) domes are typically inclined between 10° and 12°; in 4V domes, between 7° and 9°; in 5V domes, between 6° and 7°; and in 6V domes, between 5° and 6°, these values are for guidance only and must always be verified with the appropriate calculator or by performing a trial assembly. Before fabricating all the connectors, it is advisable to make a test piece and assemble several struts; if the struts are subjected to excessive stress, remain separated, or do not align correctly at the joints during this test, the angle must be corrected before final fabrication begins. Connector dimensions will depend on the cross section of the struts used, for example, if the struts are 4 × 2 in, the connectors may be fabricated from steel flat bars approximately 2 to 3 in wide and 3/16", 1/4", or 3/8" thick, provided these dimensions are suitable for the dome size and the loads the structure must support, final selection must account for the project- specific conditions and required strength. It is advisable to paint the connectors before fastening them to the struts, using an anticorrosive or epoxy coating, this coating protects the steel from moisture and oxidation, improves durability, and reduces maintenance requirements throughout the dome’s service life.

97 Four-, five-, and six-arm connectors fabricated from steel flat bars

98 Another widely used system consists of six-arm connectors fabricated from welded sections, both figures show the slight inclination of the arms, which is essential for the struts to follow the dome curvature correctly and for the structure to assume its spherical form. Practical Recommendation Build a prototype before fabricating all the connectors, fabricating one or two connectors and assembling several struts makes it possible to verify that the inclination angle, hole spacing, and fastening system are appropriate, correcting a test connector is much easier and less expensive than modifying dozens of finished components. Screws or bolts for the connectors For a geodesic dome intended as a dwelling, particularly one exceeding approximately 33 or 39 ft in diameter, 2" × 4" wood struts joined to 3/8"- or 1/2"-thick steel connectors may be fastened with hex-head bolts or round-head square-neck carriage bolts, preferably with partially threaded shanks, in 3/8" or 1/2" diameters, depending on the project’s structural requirements. As a reference, each connector arm may be fastened with two bolts approximately 3 inches long, together with flat washers and hex nuts, however, the final length must be verified based

99 on the actual wood thickness, connector thickness, number of components penetrated by the bolt, and required joint strength. If additional tightening allowance is desired or thicker connectors are used, 3½ in bolts may also be used, this facilitates washer installation and provides more available thread length for properly tightening the joint. Figure. Hex-head bolt with a partially threaded shank, washer, and nut, used to fasten wood struts to metal connectors.

100 Approximate Number of Connectors The number of connectors required depends on the frequency and spherical segment selected for the dome, as frequency increases, the number of triangles, struts, and connection points also increases; therefore, more connectors must be fabricated, the following table provides reference values for several of the configurations most used in geodesic domes.

101 Geodesic Dome Calculators To obtain complete dome dimensions, strut lengths, connector quantities, inclination angles, triangle layouts, and assembly diagrams, use any of the following specialized calculators: • http://www.desertdomes.com/domecalc.html (right-click — open hyperlink) • http://www.domerama.com/calculators/ (right-click — open hyperlink) • https://acidome.com/ (right-click — open hyperlink) • https://geo-dome.co.uk/article.asp?uname=calculation (right-click — open hyperlink) These tools automatically generate the information required to construct the dome, they are straightforward to use, select the frequency and spherical segment, then enter the desired diameter or radius, from these inputs, the calculator provides the length of each strut type, component quantities, required connectors, structural geometry, and, in many cases, assembly drawings or diagrams. 3. Cladding Once all the struts have been joined with the connectors, the triangular openings in the structure are covered, watertightness is essential because it prevents rainwater, snow, moisture, and dust from penetrating the cladding and affecting the dome interior. The following construction system is recommended for dome cladding because it provides a good combination of strength, thermal and acoustic insulation, weather resistance, and durability: - OSB sheathing - Protective plastic membrane - Thermal and acoustic insulation, such as extruded polystyrene (XPS), expanded polystyrene (EPS), or fiberglass insulation. - Fiber-cement board - Roofing materials OSB Panels (4 × 8 ft) OSB, short for Oriented Strand Board, is an engineered structural wood panel made from layers of oriented wood strands—generally pine, spruce, or similar species— bonded with resins and compressed under pressure, the cross-oriented layers provide rigidity, dimensional stability, and good load-carrying capacity, making OSB suitable for sheathing the dome’s triangular framework. Because OSB does not contain large knots or internal voids commonly found in some solid-wood products, it facilitates cutting, laying out triangular panels, and installation. It also provides useful thermal and acoustic insulation, may offer a degree of fire resistance depending on the panel type and rating, and can be cut, drilled, bored, nailed, screwed, sanded, painted, and finished with various products. Because of the resins and adhesives it contains, OSB may provide limited moisture resistance; however, it must not be submerged or remain in direct contact with water.

102 When properly protected with sealers, moisture barriers, and a suitable exterior cladding system, it can provide improved durability against ambient moisture, fungi, and insects. For a residential dome, use good-quality OSB with sufficient thickness to prevent sagging, warping, or deformation caused by inadequate support, moisture, or insufficient panel thickness, as a general reference, panels approximately 7/16 in., 19/32 in., or 23/32 in. thick may be used, depending on the dome diameter, strut spacing, local climate, and the exterior finish to be installed. After cutting each panel, seal all OSB edges because these areas absorb moisture more readily, it is also advisable to apply a wood preservative followed by a coat of varnish, sealer, or another suitable waterproofing product, this additional protection will improve panel durability and extend service life. During installation, leave a small gap between panels to accommodate natural expansion and prevent deformation, as a general guideline, provide an approximately 1/8 in. gap at panel edges and ends unless the manufacturer specifies otherwise. Panel joints must be supported by struts or other framing members; do not leave panel edges unsupported, fasten the panels with suitable wood screws, spacing them uniformly and keeping them far enough from the edges to avoid weakening the board., before installing the exterior protective layers, check for leaks, raised edges, loose panels, or poorly fitted areas, proper OSB installation will simplify placement of the protective membrane, thermal and acoustic insulation, and the final dome cladding.

103 Protective Plastic Membrane The protective plastic membrane acts as a barrier against moisture, dust, and minor water intrusion, helping protect the OSB and inner cladding layers, its primary purpose is to serve as a separating and protective layer within the wall assembly, preventing moisture from reaching the wood directly and helping preserve the dome’s thermal and acoustic insulation. Install the membrane continuously, orienting overlaps so water drains outward and the risk of intrusion is reduced, seal all seams with exterior-grade tape or the product recommended by the manufacturer, paying particular attention to corners, intersections, penetrations, and areas around doors, windows, and vents. Use a heavy-duty plastic membrane with good tear resistance and, whenever possible, ultraviolet protection if it remains exposed to sunlight for several days before the exterior layers are installed, avoid unnecessary punctures and check for cuts, folds, or loose areas before installing the insulation and final cladding. Although plastic has low electrical conductivity, it must not be considered a primary electrical safeguard, all wiring must be installed in appropriate conduit, raceways, or ducts and must comply with applicable safety requirements, do not leave wiring loose or in direct contact with combustible materials.

104 Thermal and Acoustic Insulation Extruded Polystyrene (XPS) Extruded polystyrene, known as XPS, is a rigid foam produced by extruding polystyrene with a blowing agent, resulting in a compact, closed-cell material with very low water absorption, for this reason, it is used primarily as thermal insulation and also helps improve the dome’s acoustic insulation, especially when installed as part of a layered cladding system, one of its main advantages is its good moisture resistance, making it suitable for areas subject to condensation, rain, fog, or high ambient humidity, in addition, because it is lightweight and easy to cut, it can be adapted relatively easily to the structural triangles, provided that the joints are fitted tightly and sealed to prevent thermal bridging or leakage.

105 Figure. Extruded polystyrene (XPS) panel installed within a triangle of the dome structure as part of the layered cladding system. Expanded Polystyrene (EPS) Expanded polystyrene, known as EPS, is a foamed plastic derived from polystyrene and formed from small, expanded beads that create a lightweight structure with good thermal insulation capacity, it can also help reduce sound transmission, although its acoustic performance depends on its thickness, density, and the other cladding layers, it is an economical, readily available, and easy-to-cut option that can be used in the triangular spaces of the dome as part of the insulation system, although it offers some moisture resistance, it must be properly protected with barriers, sealants, and exterior finishes, because it should not be exposed directly to water, sunlight, or fire, it is known by different names depending on the country: styrofoam in U.S. and Canada, stylofoam in U.K., styromousse in France, styropor in Germany, esferovite in Portugal, among others.

106 Figure. Expanded polystyrene (EPS) panel placed within a dome triangle and protected by the exterior cladding layers. Fiberglass Insulation Fiberglass insulation consists of very fine glass fibers interwoven to form a lightweight, flexible material with good capacity to reduce heat transfer and sound transmission, it is widely used in construction as thermal and acoustic insulation in walls, roofs, floors, and enclosures, and is available in various forms, including batts, rolls, semi- rigid panels, and blocks, depending on the application and the space in which it will be installed. In a dome house, fiberglass insulation can be placed within the triangular spaces of the structure, especially when improved indoor comfort is needed in response to cold, outdoor heat, or ambient noise, its performance depends on its thickness, density, and correct installation within the layered cladding system, it should therefore fit snugly between the struts without being compressed excessively, because compression reduces some of its insulating capacity. One advantage is its good fire resistance and dimensional stability under temperature changes, however, it must be adequately protected from moisture, because if it becomes wet it can lose efficiency and contribute to odors or problems in the interior

107 layers, it should therefore be installed with a moisture barrier, and the exterior cladding must be properly sealed, particularly at joints, corners, window interfaces, and areas exposed to rain or condensation. During handling and installation, gloves, long sleeves, a mask, and safety glasses are recommended because the fibers can irritate the skin, eyes, or respiratory tract, pieces should also be cut carefully, all spaces should be filled without gaps, and the material should not remain exposed to the interior of the dwelling. Ideally, it should be enclosed with a suitable interior finish, such as drywall, plywood, or another finish, to keep it protected and provide a clean, safe installation. Figure. Fiberglass insulation is placed within a triangle of the dome structure and protected by the moisture barrier and exterior cladding layers. Fiber-Cement Board (4 × 8 ft) Fiber-cement board is used primarily as the dome’s exterior cladding because it forms a rigid, durable, and resistant layer that protects the cladding system from rain, ambient moisture, sunlight, dust, and temperature changes, it consists of a mineral binder, such as cement or calcium silicate, reinforced with organic, mineral, or synthetic fibers, providing good dimensional stability, mechanical strength, and a firm surface for subsequent finishes. In a dome house, fiber-cement board can be cut into triangular pieces to match the geometry of the structure and fastened over the struts or previously prepared exterior layer, it should be installed with screws suitable for fiber-cement board or exterior use, ensuring that each piece is properly supported and aligned and is not subjected to stresses that could cause cracking, a small gap should also be maintained between boards to accommodate slight expansion caused by changes in temperature and humidity. After the boards are installed, all joints, corners, screws, and interfaces with doors, windows, vents, or metal elements must be carefully sealed, joint tape, reinforcing

108 mesh, patching compound, or a sealant compatible with fiber-cement board and rated for exterior use may be used, this step is essential to prevent leaks, improve cladding continuity, and provide a more uniform surface before the final finish is applied. Finally, a moisture sealer or waterproofing primer should be applied before painting, the paint must be suitable for exterior use and resistant to solar radiation, rain, and weather changes, in areas with high humidity, coastal exposure, or fog, the joints should receive additional protection and the condition of the finish should be inspected periodically, because effective waterproofing extends the service life of the cladding and better protects the dome’s interior layers. Figure. Fiber-cement board installed as the dome’s exterior cladding, fastened over the structure and protected by sealed joints and a waterproof finish.

109 Cladding Application The cladding must be applied in layers and in a clear sequence so that the dome is protected, rigid, and properly sealed, first, the OSB pieces are installed over the timber structure; next, the moisture barrier, such as protective plastic sheeting, is placed, then the selected thermal and acoustic insulation—XPS, EPS, or fiberglass insulation—is installed; and finally, the fiber-cement board is fastened as the exterior cladding, this layered cladding system improves resistance to rain, moisture, dust, heat, cold, and outdoor noise. Before starting, verify that all struts are properly fastened, aligned, and treated against moisture, fungi, and insects, also verify that the connectors are secure, that no components are loose, and that openings have been defined for doors, windows, vents, electrical outlets, and any services that will penetrate the cladding, these corrections should be made before the structure is enclosed, because later modifications will be more difficult. The OSB should be cut to match the shape of each dome triangle, ensuring that the pieces are supported by the struts rather than left spanning unsupported, each panel should be fastened with wood screws, spaced uniformly and positioned far enough from the edges to prevent splitting, a small gap between pieces is recommended to accommodate natural material expansion, and the OSB edges should be sealed before covering because they absorb the most moisture.

110 The moisture barrier is installed over the OSB. If plastic sheeting is used, it must be installed continuously, with laps oriented so that water drains outward rather than entering between the layers. Seams, corners, penetrations, and interfaces with windows, doors, or vents must be carefully sealed with exterior-grade tape or the product recommended by the manufacturer, this layer does not replace the exterior cladding, but it helps protect the OSB and insulation. The thermal and acoustic insulation is then installed. If XPS or EPS is used, the pieces must be cut to fit the triangles closely, without gaps between panels or spaces through which air can pass; if fiberglass insulation is used, it must not be compressed excessively, because compression reduces some of its insulating capacity, in all cases, the objective is to cover the structural cavities continuously and reduce thermal bridging. The fiber-cement board is installed as the exterior protective layer, it must be cut into triangular pieces, aligned with the structure, and fastened with screws suitable for fiber-cement board or exterior use, a small gap should be left between boards to accommodate expansion and prevent cracking. After fastening, all joints, screws, corners, and interfaces must be sealed with mesh, tape, patching compound, or a sealant compatible with fiber-cement board, according to the finish to be applied. After the boards have been installed, a waterproofing primer or exterior sealer should be applied before painting, the final paint must be rated for exterior use and resistant to sunlight, rain, and ambient moisture, in coastal, fog-prone, or frequently rainy areas, the joint sealing should be reinforced and the condition of the cladding inspected periodically to prevent leaks. The layer assembly may also be varied according to the budget and project conditions, for example, in some cases EPS can form part of the insulation while also helping separate and protect the interior layers; however, it should not be considered a complete replacement for a moisture barrier in very humid or rainy climates, most importantly, the completed system must maintain continuity, water protection, and effective sealing at all joints. Before fully closing the cladding, conduct a general inspection from both the interior and exterior of the dome, verify that there are no gaps, loose screws, raised edges, open joints, unsealed cuts, or areas where water could collect, proper cladding application not only improves the dome’s appearance but also protects the structure, extends the service life of the materials, and increases indoor comfort.

111 Figure. Layered dome cladding system, with arrows identifying the timber structure, OSB, protective plastic sheeting, thermal and acoustic insulation, and exterior fiber- cement board. Roofing Materials In addition to the dome’s primary cladding system, it is advisable to protect the upper area—or, if the project requires it, the entire exterior roof—with a material resistant to solar radiation, rain, moisture, and temperature changes. This additional layer serves as the final line of weather protection and helps extend the service life of the inner layers, particularly the OSB, moisture barrier, thermal insulation, and fiber- cement board. The choice of material will depend on the local climate, solar intensity, frequency of rainfall, presence of moisture or fog, available budget, and desired aesthetic finish. In coastal areas or locations with high solar exposure, priority should be given to lightweight, waterproof, UV-resistant materials that are easy to maintain. Various roofing materials may be used as the exterior finish. This manual describes two of the alternatives most commonly used on geodesic domes:

112 - Polypropylene sheets - Asphalt shingles Polypropylene Sheets Polypropylene sheets provide a modern and efficient solution for the exterior cladding of geodesic domes, particularly where the structure has curved surfaces or tight radii, because they are lightweight and flexible, these sheets adapt more readily to the dome geometry, reducing the need for complex cuts and enabling faster, more uniform installation. Polypropylene is a thermoplastic polymer noted for its high resistance to moisture, corrosion, and various chemical agents, allowing it to retain its mechanical properties during long periods of environmental exposure. Unlike metallic materials, it does not rust, and its low water absorption inhibits the growth of fungi, mold, and microorganisms, significantly reducing maintenance requirements. Polypropylene sheets with ultraviolet (UV) protection also offer excellent resistance to aging caused by continuous solar exposure, retaining their dimensional stability and appearance for years, their low weight also reduces permanent loads on the dome structure, contributing to a more efficient structural design. Commercially available products include Fibraforte sheets, as well as equivalent materials made by other manufacturers that provide similar performance.

113 Asphalt Shingles Asphalt shingles are among the roofing systems most widely used on lightweight buildings because of their high waterproofing capability, ease of installation, and excellent cost-to-service-life ratio, they generally consist of a high-strength fiberglass mat impregnated with modified asphalt and surfaced with ceramic-coated mineral granules that improve resistance to solar radiation, abrasion, and weathering. On geodesic domes, asphalt shingles are installed over a continuous, rigid, and properly leveled substrate, usually structural wood sheathing or OSB, together with a waterproof membrane that acts as a secondary moisture barrier, this system provides a fully watertight roof when the manufacturer’s installation requirements and recommended minimum slopes are followed. One of their principal advantages is their ability to conform to the multiple triangular faces of the dome geometry, producing a uniform finish while accommodating expansion and contraction caused by temperature variations. Asphalt shingles also provide good resistance to wind, rain, hail, and ultraviolet radiation, with a service life that can exceed 25 or 30 years when high-quality products are used and periodic preventive inspection and maintenance are performed. They are currently available in a wide variety of colors, textures, and architectural profiles, allowing finishes to be selected that harmonize with the surroundings and enhance the dome’s appearance without compromising functional performance.

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117 Ventilation As an option, the uppermost pentagon at the dome apex may be left open to provide dome apex ventilation, in that case, install metal mesh to prevent small birds and other animals from entering, a small, raised weather cover may be installed over the opening to protect it from rain without sealing it completely, thereby maintaining airflow. Windows may also be installed in this area, allowing views of the night sky and enabling the openings to be adjusted according to weather conditions, as shown below: Figure. Dome apex ventilation through the open uppermost pentagon, protected with metal mesh and a raised weather cover that allows hot air to escape while preventing rain entry, this is the simplest solution.

118 Recommendation Based on Personal Experience Although the metal mesh may be installed directly over the opening, a more effective solution is to install it around the perimeter of the space between the raised weather cover and the edge of the pentagon, this prevents birds from perching on the mesh or attempting to nest in that space, reducing deterioration of the system and simplifying maintenance without impairing the dome’s natural ventilation. This recommendation is based on my own experience building and using a geodesic dome, I initially installed the metal mesh only over the opening, but over time I observed that birds continually perched on it and attempted to nest there, this eventually damaged the mesh and required its replacement with perimeter mesh, since then, this system has provided better protection and required less maintenance.

119 4. Doors and Windows Openings intended for doors, windows, and skylights are among the most important aspects in the design of a geodesic dome, because they alter the structural continuity of the triangular mesh that distributes loads across the entire surface, unlike a conventional building, where an opening only interrupts a wall, in a geodesic dome the removal of one or more structural members modifies the natural load path, for this reason, it is essential to incorporate reinforcement capable of compensating for that discontinuity. When an opening is designed correctly, the dome’s structural behavior is practically unaffected; however, an opening that is poorly located or insufficiently reinforced may cause deformation, stress concentration, loss of stiffness, leaks, and even progressive damage to the structure. Therefore, every opening should be planned before construction begins. Doors The location, dimensions, and design of the main door should be defined during the planning stage of the geodesic dome, because its incorporation modifies the structural configuration and affects the interior layout, the door location will depend mainly on the dome diameter, geodesic frequency, intended use of the building, and architectural distribution, including interior partitions, access routes, circulation areas, and main rooms. In projects that require more than one access point, a second door or additional openings may be incorporated, provided their location is analyzed in advance to avoid interference with important structural members and to ensure proper functionality of the interior spaces, external factors should also be considered, such as solar orientation, prevailing wind direction, site access, and evacuation routes where applicable. The door opening should be planned before installing the exterior cladding and, preferably, before the final interior finishes are installed, this allows structural modifications to be carried out with greater precision, avoids later dismantling, and reduces the risk of damaging the waterproofing system or finish materials. In general, the door is located within one of the pentagonal areas or within a group of triangles near the base of the dome, because these zones make access easier and allow the opening to be integrated with the geometry of the structure, to create the opening, it may be necessary to remove or modify some structural members located within the opening area; however, these members must not be removed until a reinforcement system has been designed to properly redistribute the loads toward the adjacent structural elements. The perimeter of the opening must be reinforced with a structural frame built from members of equal or greater strength than the original struts, properly connected with suitable connectors and fasteners, this frame will act as a load-transfer element, compensating for the discontinuity created by the opening and preserving the overall stability of the dome. Finally, before installing the door, verify the plumb, squareness, and dimensions of the opening, making sure that the frame is perfectly aligned, this will make door

120 installation easier, ensure proper operation of the door leaves, and provide an effective seal against water, air, and dust infiltration. The recommended procedure is: 1. Complete the structure. 2. Mark the opening. 3. Install temporary bracing. 4. Remove only the necessary struts. 5. Install the structural frame. 6. Verify alignment. 7. Install the door. 8. Fully waterproof all joints. Make the opening

121 Then install the door frame, as shown below: Door Design Once the structural frame has been installed, the door design will depend mainly on the intended use of the dome, the dimensions of the opening, and the architectural style desired for the project. Rectangular, arched, polygonal, or custom doors may be used, including designs that integrate with the dome geometry, provided that the structural frame ensures proper load transfer and an effective seal against water, air, and dust. Although the door may adopt almost any shape and finish, its dimensions should remain proportional to the size of the dome, and the structural frame design should be defined before the exterior cladding begins, this will facilitate installation, improve waterproofing, and reduce the need for later modifications. The design possibilities are very broad; the geometry of the dome allows different door styles to be integrated, adapting them to both functional and aesthetic requirements.

122 The design possibilities are very broad

123 Windows The most practical and structurally efficient way to incorporate windows into a geodesic dome is to use the triangles that form the geodesic mesh as the basis for their design and installation, this approach allows openings to be made with minimal modification to the original structure, facilitates a more uniform load distribution, and reduces the need for additional reinforcement; whenever possible, windows should be positioned in accordance with the geometry of the triangular modules in order to preserve the stiffness and stability of the dome. To improve natural ventilation, it is advisable to install projecting, awning, casement, or combination-opening windows, orienting their operation to take advantage of the prevailing wind direction, a proper window layout can create cross ventilation and promote continuous air renewal, if the dome includes an upper vent, natural ventilation can improve considerably: when both the windows and the upper vent are opened, warm air accumulated inside the dome tends to escape through the highest point, while cooler air enters through the windows, continuously renewing the indoor environment and helping maintain a more comfortable temperature, fixed windows are also an excellent alternative for increasing natural light, expanding exterior views, and creating a greater sense of spaciousness inside the dome, their location should be defined by considering solar orientation, local climate conditions, panoramic views, required privacy, and the building’s thermal behavior, in warm climates, it is advisable to limit glazed areas exposed to the afternoon sun or incorporate solar-protection elements to reduce heat gain; in cold climates, solar radiation can be used to improve indoor comfort, to improve energy efficiency, glazed areas should also be distributed in a balanced way, avoiding the concentration of large glass surfaces on a single orientation. Practical experience: In my own dome, I initially installed upper windows directly above the lower windows, sharing the same structural nodes, although the result was attractive from an architectural standpoint, I found that during the hours of strongest solar radiation, the amount of light and heat entering the interior was excessive, considerably increasing the indoor temperature.

124 Therefore, I decided to remove the upper windows, this modification improved the interior thermal comfort without significantly affecting natural lighting, because the lower windows continued to provide sufficient daylight throughout the day. This experience shows that, before increasing the glazed area, it is important to carefully analyze the dome orientation, local climate, and solar path, in many cases, fewer windows, correctly positioned, provide a better balance between natural lighting, ventilation, and thermal comfort. Although triangular windows are the ones that best adapt to the dome geometry, it is also possible to install rectangular, square, circular, trapezoidal, or custom-shaped windows, provided that the design includes adequate structural reinforcement around the opening, when structural struts must be cut or modified, a perimeter frame must be built to redistribute loads toward the adjacent members, preserving the stability and stiffness of the assembly. Likewise, all windows must include an appropriate waterproofing system using membranes, flashing, elastomeric sealants, and expansion joints compatible with the materials used, these elements prevent water, air, and dust intrusion, compensate for deformation caused by temperature changes, and extend the service life of both the window and the roofing system. Finally, window design should achieve a balance between structural, functional, energy-performance, and aesthetic criteria, considering the intended use of the dome, the environmental conditions of the construction site, and the architectural integration of the project. Proper planning will create spaces that are more comfortable, efficient, and visually appealing without compromising safety or structural performance.

125 Windows should be installed using the same structural criteria applied to doors. It is recommended to: • leave a perimeter expansion joint • use waterproof tapes • use elastomeric sealants* • install metal flashing • provide condensation drainage * An elastomer is a highly elastic polymeric material that can stretch several times its original size and recover almost its original shape once the force is removed. Waterproofing Leaks occur mainly around openings. Therefore, it is recommended to install: • a continuous waterproof membrane • butyl tape • upper flashing • polyurethane sealant • a wind barrier

126

127

128 Recommendation It is recommended that windows be fabricated and installed by a specialist in aluminum, PVC, or glass systems, this helps ensure proper fitting of all components, adequate waterproofing, and safe, durable operation over time.

129 10. INTERIOR Design Freedom The interior of a geodesic dome offers great design freedom because it does not require interior load-bearing walls, this characteristic allows spaces to be organized according to functional needs, architectural style, and available budget, likewise, the dome geometry favors the creation of spacious, open, and multifunctional environments, making efficient use of interior volume, natural lighting, and ventilation. During the design stage, it is advisable to define in advance the location of bedrooms, bathrooms, kitchen, social areas, electrical systems, plumbing, and HVAC systems to optimize the layout and reduce later modifications, the location of doors, windows, and skylights should also be integrated with the interior design to promote cross ventilation, natural daylight, and thermal comfort. Interior partitions can be built using lightweight systems that do not significantly increase the permanent loads on the structure, the most used materials include drywall systems, consisting of gypsum boards installed over galvanized steel studs, fiber-cement panels, plywood panels, OSB boards, structural lumber, SIP panels, and other lightweight prefabricated systems, the choice of material will depend on the required level of thermal and acoustic insulation, moisture resistance, desired architectural finish, and project budget. Whenever possible, interior partitions should be designed as independent elements separate from the dome’s main structure, avoiding the transfer of additional loads to the geodesic mesh; this approach facilitates future remodeling, reduces the appearance of cracks caused by differential movement, and simplifies maintenance of the building systems. Construction of a Mezzanine or Second Level In medium- or large-diameter domes, it is possible to incorporate a mezzanine or second level to increase usable floor area without increasing the footprint on the site. In general, the mezzanine is used for bedrooms, offices, resting areas, or storage spaces, taking advantage of the greater volume available in the upper portion of the dome. The mezzanine design must consider dead loads, live loads, support spacing, and allowable deflection of the structure; in most cases, the mezzanine is built with primary and secondary beams supported by independent columns and its own foundations, preventing vertical loads from being transferred directly to the geodesic structure unless it has been specifically designed to support them through structural calculations.

130 Support columns may be fabricated from structural lumber, steel sections, or reinforced concrete, depending on the dome diameter, expected loads, soil conditions, material availability, and project budget; the selected structural system must provide sufficient strength, stiffness, and stability to support both permanent loads and variable occupancy loads. The mezzanine floor may be built using structural wood beams or steel members combined with OSB boards, structural plywood, fiber-cement panels, or lightweight slabs, depending on the project requirements, it is also recommended to incorporate insulating materials between the beams to improve acoustic separation between levels and reduce vibration transmission. Interior Finishes Interior finishes should be selected based on durability, ease of maintenance, thermal comfort, and energy efficiency, walls and ceilings may be finished with wood panels, drywall, decorative cladding, washable paints, or natural materials, while floors may use wood, porcelain tile, ceramic tile, vinyl, microcement, or other finishes compatible with the intended use of the dome. In areas with high ambient humidity, such as bathrooms, kitchens, or tropical regions, it is advisable to use materials resistant to water and fungal growth, as well as vapor barriers and adequate ventilation systems to prevent condensation problems. Finally, a well-planned interior design will make it possible to take full advantage of the structural and energy efficiency of the geodesic dome, creating comfortable, functional, and visually appealing spaces without compromising structural stability or ease of maintenance throughout its service life. Principles of Spatial Layout The interior design of a geodesic dome differs from that of a conventional building because of its curved geometry and the absence of interior load-bearing walls, this characteristic allows a more flexible distribution of spaces, favoring open, multifunctional environments and a greater perception of spaciousness. To achieve an efficient design, it is recommended to organize the interior into functional zones: • Social zone: living room, dining room, and gathering areas. • Private zone: bedrooms and resting areas. • Service zone: kitchen, laundry area, and storage. • Technical zone: electrical systems, plumbing systems, and equipment. In small domes, integrating several functions into a single space is usually the most efficient solution. In medium and large domes, lightweight partitions can be incorporated to improve privacy without affecting structural behavior.

131 Use of Interior Volume One of the main advantages of a geodesic dome is its high volume-to-surface-area ratio. The central portion of the dome provides the greatest clear height, making it ideal for locating: • Main living rooms. • Dining areas. • Sitting areas. • Stairs leading to a mezzanine. • Decorative elements or suspended lighting. The areas near the perimeter, where the height progressively decreases, are suitable for: • Beds. • Closets. • Low furniture. • Shelving units. • Storage areas. Ergonomics on Curved Surfaces Sloped walls require furniture and interior circulation paths to be adapted to the dome’s curved geometry. As a general guideline: Recommended • Leave a clear circulation strip of at least approximately 3 ft. • Place tall furniture in the areas of the greatest available height. • Use modular furniture or furniture adapted to the dome curvature. • Avoid rigid elements that make it difficult to use the perimeter efficiently. Not Recommended • Place vertical cabinets in low-height areas. • Create narrow corridors next to the dome curvature. • Support heavy elements directly on the interior cladding without an auxiliary structure. Natural Lighting To achieve good visual comfort, it is recommended that the total window area represent between 15% and 25% of the dome’s usable floor area, depending on the climate and the intended use of the building. In warm climates: • Prioritize windows facing north and south.

132 • Avoid large, glazed surfaces facing west. • Incorporate eaves or solar-shading devices. In cold climates: • Increase solar gain on the sunniest façades. • Use glazing with improved thermal performance. • Reduce heat loss by using insulated frames. Interior Ventilation The interior design should allow natural air circulation. The most efficient combination is: • Low windows for fresh air intake. • High windows or skylights for exhausting warm air. This system takes advantage of the stack effect, which is especially effective in domes because of their spherical shape. Important Structural Considerations Never: • Hang heavy loads directly from the struts without verifying their capacity. • Attach mezzanines or second-level floors to the geodesic structure without prior structural calculations. • Remove structural members to enlarge interior spaces. • Concentrate significant loads at a single dome connection point. Always recommended: • Distribute loads uniformly. • Use independent auxiliary structures for mezzanines. • Review the structural design before making modifications. • Verify compatibility between finishes, insulation, and waterproofing. When Is It Recommended to Build a Mezzanine or Second Level? The suitability of incorporating a mezzanine will depend mainly on the dome diameter and the available usable height. As a general guideline: Diameter Approximately 13 to 20 ft: generally not recommended, except for lightweight lofts used for storage.

133 Approximately 23 to 26 ft: recommended for one bedroom or resting area. Approximately 30 to 33 ft: highly recommended for increasing usable floor area. Approximately 39 ft or more: strongly recommended for two-level interior layouts. The clear height below the mezzanine must be sufficient to ensure comfort and functionality, while the upper level must allow safe circulation considering the curvature of the dome. Structural Criteria Before designing the mezzanine, the following aspects should be evaluated: • Dead load of the structural system and finishes. • Expected live loads for the space. • Clear span between supports. • Material used for the beams and columns. • Stiffness of the structural system. • Allowable deflections. • Foundation strength. • Compatibility with geodesic structure. In most projects, mezzanine loads should be transferred through an independent structure supported on its own columns and foundations, avoiding direct load transfer to the geodesic mesh unless the dome has been specifically designed for that purpose through structural analysis. Structural Systems for Mezzanines or Second Levels Structural Wood System This is the most used solution in residential domes because of its low weight, ease of construction, and compatibility with wood structures. Advantages: • Low dead load. • Easy machining and fabrication. • Good seismic performance due to its light weight. • Excellent aesthetic appearance. Steel System This system is built using hot-rolled or tubular steel sections. Advantages: • Greater load-bearing capacity. • Smaller structural sections. • Allow longer spans to be covered. It requires corrosion protection and proper joint design

134 Hybrid System This system combines steel columns with wood beams, or vice versa. This system takes advantage of the strengths of both materials and is commonly used in large- diameter domes. Support Columns The columns must transfer the mezzanine loads directly to the foundation. The most used materials are: • Treated structural lumber. • Tubular steel sections. • Rolled steel sections. • Reinforced concrete. Their location should be coordinated with the architectural layout to avoid interference with doors, windows, or circulation areas. Primary and Secondary Beams Primary beams receive the loads from the secondary beams and transfer them to the columns. Secondary beams directly support the floor deck. Their spacing will depend on the type and thickness of the structural decking used, as well as on the design loads and span between supports. Final sizing must be verified through structural calculations. Mezzanine Floor The most used materials are: • Structural OSB boards. • Structural plywood. • Fiber-cement panels. • SIP panels. • Composite systems use steel and lightweight concrete. Different finishes may be installed over these boards, such as wood, porcelain tile, vinyl, carpet, or microcement, provided that the load-bearing capacity of the system is verified. Safety Railings Any mezzanine with a fall hazard must include protective railings. As a general reference, the following is recommended:

135 • Approximate minimum height: 3 to 3.6 ft. • A design that prevents accidental passage of people through the railing. • Fastening with anchors capable of resisting the forces transferred to the mezzanine structural system. Specific dimensions and requirements must comply with the applicable local regulations. Acoustic Insulation To reduce noise transmission between levels, it is recommended to install insulating materials between the beams, such as: • Rock wool. • Fiberglass insulation. • Blown-in cellulose. • Mineral fibers. It is also advisable to use resilient strips and decoupled systems when higher acoustic performance is required. Access Stairs The stairs are the main vertical circulation element when a geodesic dome includes a mezzanine or second level. In addition to serving a structural and functional purpose, it has a significant influence on space efficiency, user comfort, occupant safety, and the overall interior appearance. Because of the dome’s curved geometry, stair design requires a different analysis than in a conventional building; the progressive reduction of clear height toward the perimeter makes it necessary to carefully select the stair location, dimensions, and structural type to ensure safe circulation and efficient use of the available space. The design should simultaneously consider ergonomics, structural strength, accessibility, architectural layout, and ease of construction, stair design directly affects how efficiently the interior space can be used. The most used options are: • Straight stairs. • L-shaped stairs. • U-shaped stairs. • Spiral stairs. • Floating stairs. The selection will depend on the available space, frequency of use, and architectural style of the project. Before defining the type of stair, the following aspects should be analyzed: • Dome diameter. • Floor-to-floor height.

136 • Available floor area. • Mezzanine location. • Number of users. • Intended use of the building. • Structural material. • Available budget. • Possible future expansions. The most used options are: Straight Stair • Easy to build. • Lower cost. • Excellent comfort. • Low maintenance. Recommended for domes approximately 33 ft or more in diameter. L-Shaped Stairs • Reduces the required longitudinal space. • Improves circulation. • Provide greater safety. An excellent alternative for domes approximately 26 to 39 ft in diameter. U-Shaped Stairs • Make better use of rectangular areas. • Reduces the total stair length. • Provides comfortable landings. Suitable for permanent homes and family domes. Spiral Stairs • Takes up very little space. • Creates a strong architectural impact. • Ideal for small domes. It is one of the most used solutions in domes intended for glamping.

137 Floating Stairs • Modern appearance. • Greater sense of spaciousness. • Excellent integration with interior design. In small domes, minimizing the area occupied by the stairs is a priority, while in larger- diameter domes, comfort and architectural integration may be prioritized.

138 Floor Plans On the following page, you will find many examples of dome interior floor plans. https://monolithicdome.com/search?q=floor+plans (right-click — open hyperlink) When you enter the website, select the number of bedrooms and click the title to open another page with different models, or choose from the following links: One-bedroom floor plans: https://monolithicdome.com/floor-plans-one-bedroom (right-click — open hyperlink) Two-bedroom floor plans: https://monolithicdome.com/floor-plans-two-bedroom (right-click — open hyperlink) Three-bedroom floor plans: https://monolithicdome.com/floor-plans-three-bedroom (right-click—open hyperlink) Four-bedroom floor plans: https://monolithicdome.com/floor-plans-four-bedroom (right-click — open hyperlink) Five-or-more-bedroom floor plans: https://monolithicdome.com/floor-plans-five-or-more-bedroom (right-click — open hyperlink)

139 EXAMPLES 1 bedroom – approximately 904 sq ft – 32.8 ft diameter 2 bedrooms – approximately 614 sq ft – 27.9 ft diameter

140 3 bedrooms – approximately 807 sq ft – 32 ft diameter 4 bedrooms – approximately 1,959 sq ft – 49.2 ft diameter

141 4 or more bedrooms – approximately 3,378 sq ft – 65.6 ft diameter 4 bedrooms – 2 floors 1st floor – approximately 1,970 sq ft

142 2nd floor – approximately 1,905 sq ft NOTA TÉCNICA: Los planos, distribuciones y ejemplos presentados en esta sección son únicamente referenciales e ilustrativos y tienen como finalidad facilitar la comprensión de los conceptos expuestos, no deben ser considerados planos constructivos definitivos ni reproducidos o ejecutados directamente, ya que cualquier proyecto de domo debe ser desarrollado y adaptado de acuerdo con las condiciones específicas del terreno, dimensiones, uso, cargas de diseño, normativa local, materiales, sistema estructural, cimentación y demás requisitos técnicos aplicables.

143 11. FREQUENTLY ASKED QUESTIONS 1. Is it worth building a geodesic dome? Yes, provided that the project has been properly designed and built, geodesic domes offer important advantages over many traditional construction systems, including an excellent strength-to-material ratio, good performance under seismic and wind loads, efficient use of interior space, and distinctive architecture that stands out for both aesthetics and functionality. However, as with any building, its success will depend on proper planning, the selection of appropriate materials, and correct construction execution; when these conditions are met, a dome can become a comfortable, safe, durable, and energy-efficient home. 2. How much does it cost to build a geodesic dome? There is no single price, the cost will depend mainly on the dome diameter, frequency, materials used, foundation type, finishes, project location, and local labor costs, the same design can have very different budgets depending on the specific characteristics of each project. 3. Does a dome cost less than a conventional house? Generally, yes, thanks to its geometry, a dome can cover a larger area using fewer structural materials than a traditional dwelling of similar size, however, the final savings will depend on the design, finishes, and specific site conditions. 4. Can I build the dome in stages? Yes, many people first build the structure and exterior cladding and later complete the interior finishes according to their budget and available time. 5. Do I need to be an engineer or architect to build a dome? Not necessarily, many people have successfully built their own dome by following proper plans, using the correct tools, and carefully planning each stage of the project. However, if you do not have construction experience or do not feel confident performing carpentry, assembly, or structural work, it is advisable to hire an experienced builder or work with a qualified person, this will reduce the possibility of mistakes, improve construction quality, and increase safety during the process.

144 For large-diameter projects, permanent buildings, or whenever local regulations require it, the participation of an engineer or architect is also recommended. 6. Can I build the dome myself? Yes, if you have basic knowledge, the proper tools, and enough time to carry out the project, if this is your first construction experience, it is best to work with the support of an experienced builder or qualified person, especially during the structural stages, because proper execution directly affects the safety, performance, and durability of the dome. 7. How long does construction take? It will depend on the dome size, the number of people involved, and the level of finish, the structure can be erected in a few days, while the complete project may require several weeks or a few months. 8. What tools do I need? The required tools will depend on the construction system selected, although basic carpentry, drilling, measuring, and cutting tools are normally used. 9. Can a dome withstand earthquakes? Yes, its geometry distributes loads uniformly, providing excellent performance under seismic actions when the structure has been properly designed and built. 10. Can it withstand strong winds? Yes, the curved shape considerably reduces wind pressure on the structure compared with buildings that have vertical walls. 11. Can it support snow loads? Yes, provided that the structural design has been calculated for the snow loads corresponding to the region where it will be built. 12. Does it get very hot inside the dome? Not necessarily, proper thermal insulation, adequate ventilation, and good orientation make it possible to maintain a comfortable indoor temperature throughout the year.

145 13. How is the dome ventilated? The most recommended approach is to combine lower windows with an upper vent or skylight to take advantage of the stack effect and promote natural air circulation. 14. Is the dome noisy when it rains? This will depend mainly on the roofing system and the installation; a properly designed cladding system considerably reduces the noise produced by rain. 15. Can I build a second floor? Yes, in domes with sufficient diameter, it is possible to incorporate a mezzanine or second level using an independent structure designed to support the corresponding loads. 16. Can I install large windows? Yes, provided that the necessary structural reinforcements are incorporated around the opening, so the dome’s stability is not compromised. 17. Can I modify the interior layout in the future? Yes. One of the advantages of a geodesic dome is that, because it does not require interior load-bearing walls, many partitions can be modified relatively easily using lightweight systems. 18. What maintenance does a dome require? It is recommended to periodically inspect the roofing system, sealants, joints, paint, windows, and doors to detect leaks or deterioration before they become major problems. 19. How long can a dome last? Requirements vary depending on the laws of each country, region, or municipality. Before starting construction, it is recommended to consult the competent local authority to verify whether the project requires a building permit, municipal permits, or the involvement of a licensed professional. With suitable materials, proper construction, and periodic maintenance, a dome can have a service life comparable to that of a conventional home.

146 20. What type of insulation is recommended? The most suitable insulation will depend on the local climate, budget, and cladding system, common options include XPS, EPS, fiberglass insulation, rock wool, and other materials with adequate thermal and acoustic performance, in all cases, the insulation must be protected from moisture and installed continuously to reduce thermal bridges. 21. Can a geodesic dome be used as a permanent home? Yes, a geodesic dome can be used as a permanent home if it is properly designed, built with suitable materials, insulated correctly, waterproofed, ventilated, and adapted to local building regulations. As with any dwelling, the project should consider structural safety, comfort, utilities, finishes, and long-term maintenance. 22. What is the main recommendation before starting construction? The main recommendation is to plan the project carefully before buying materials or starting construction: define the intended use, site conditions, dome diameter, frequency, sphere portion, foundation type, utilities, openings, insulation, and finishes, good planning reduces errors, improves safety, optimizes costs, and makes the construction process faster and more efficient. 23. Where can I obtain the dome calculations and drawings? There are several specialized calculators that generate strut dimensions, connector information, and other data required for the design, for final projects, it is always recommended to complement this information with detailed drawings and, when applicable, technical guidance. 24. Can I contact you if I have questions during my project? Yes, if, during the development of your project, you need guidance or would like to receive personalized advice, you may contact us, we will be happy to answer your questions and, if required, help you through the different stages of designing and building your dome. 25. Do I need a license or permit to build a dome? Requirements vary depending on the laws of each country, region, or municipality. Before starting construction, it is recommended to consult the competent local authority to verify whether the project requires a building permit, municipal permits, or the involvement of a licensed professional.

147 BIBLIOGRAPHY Books Chilton, J. (2000). Space Grid Structures. Architectural Press. Fuller, R. Buckminster (1975). Synergetics: Explorations in the Geometry of Thinking. Macmillan. Fuller, R. Buckminster (1975). Synergetics 2: Further Explorations in the Geometry of Thinking. Macmillan. Makowski, Z. S. (1984). Analysis, Design and Construction of Braced Domes. Nichols Publishing. Pottmann, H., Asperl, A., Hofer, M., & Kilian, A. (2007). Architectural Geometry. Bentley Institute Press. Technical standards and reference documents American Wood Council (AWC). National Design Specification (NDS) for Wood Construction. https://codes.iccsafe.org/content/AWCNDS2024P1 American Plywood Association (APA). Engineered Wood Construction Guide. https://www.apawood.org/apa-publishes-updated-engineered-wood-construction-guide-1 ASTM International. Normas técnicas para materiales de construcción. https://regional.astm.org/es/industry/construction-collection (En español) International Building Code (IBC). International Code Council. https://www.iccsafe.org/products-and-services/i-codes/ibc/ Websites consulted DesertDomes http://www.desertdomes.com Calculator and documentation on geodesic domes. Domerama http://www.domerama.com Calculators and resources for dome design.

148 Acidome https://acidome.com Software and calculators for geodesic domes. Geo-Dome https://geo-dome.co.uk Technical information and calculation tools. Monolithic Dome Institute https://monolithicdome.com Articles, drawings, and information on dome design. Catalogs and Technical Data Sheets Consulted • OSB board manufacturers. • Fiber-cement board manufacturers. • Thermal insulation manufacturers (XPS, EPS, and fiberglass). • Asphalt shingle manufacturers. • Polypropylene sheet manufacturers. Author’s Practical Experience In addition to the bibliography indicated above, part of the recommendations included in this manual are based on the experience gained by the author during the design, construction, and use of a geodesic dome. The observations related to interior layout, ventilation, window placement, thermal behavior, maintenance, and other construction aspects correspond to real experiences developed during that project. Author’s Note: This manual combines information from specialized bibliography, manufacturers’ technical documentation, calculation tools for geodesic domes, and the practical experience acquired during the construction and use of a geodesic dome, its purpose is to provide a practical and accessible guide to facilitate the design and construction of dome-type homes, without replacing professional judgment or the specific structural calculations that may be required for more complex projects.

149 Important Note The construction of a geodesic dome requires proper planning, the use of appropriate materials, and correct execution of the work, for this reason, it is recommended to work with qualified people who have construction experience and, when the size or characteristics of the project require it, to consult competent professionals in architecture, engineering, or related specialties. The information contained in this manual is intended solely for informational and guidance purposes, although it has been prepared with the greatest possible accuracy, each project has specific conditions related to design, location, climate, materials, regulations, and construction methods that may require solutions different from those described here. Consequently, the author and contributors of this work assume no responsibility for losses, property damage, injuries, damages, or any other consequences arising from the application, interpretation, or use of the information contained in this manual, the planning, design, execution, and supervision of each project shall be the sole responsibility of the person carrying it out. Illustration Credits The illustrations, diagrams, and schematics included in this work were prepared by the author, unless expressly stated otherwise. This manual includes references and links to third-party websites for informational purposes only, these sites are not owned by the author and are not under his control; therefore, the availability, accuracy, updating, or content of the information published on them is not guaranteed, it is recommended to review their policies, terms of use, and any other applicable information before using their services. If this manual has helped you better understand the potential of geodesic domes and has motivated you to begin your own project, then it has fulfilled its purpose. Thank you very much for trusting this work. Wishing you success in the construction of your geodesic dome! All trade names, trademarks, products, and websites mentioned in this manual belong to their respective owners and are cited solely for descriptive or reference purposes. Copyright © 2026. All rights reserved. No part of this work may be reproduced, stored, transmitted, or distributed by any means without the prior written authorization of the copyright holder, except as permitted by applicable law. THE END

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