## Divided Spheres: Geodesics and the Orderly Subdivision of the SphereThis well-illustrated book—in color throughout—presents a thorough introduction to the mathematics of Buckminster Fuller’s invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explains the principles of spherical design and the three main categories of subdivision based on geometric solids (polyhedra). He illustrates how basic and advanced CAD techniques apply to spherical subdivision and covers modern applications in product design, engineering, science, games, and sports balls. |

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Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere Edward S. Popko Limited preview - 2012 |

### Common terms and phrases

antipodal points applications Archimedean solids assembly axis Buckminster Fuller Cartesian centroid chapter circle arcs circumsphere Class connector convex hull created cube cuboctahedron define deltahedra developed dimples distance distribution dodecahedron dual Equal-chords equilateral triangles Euler line example frequency geodesic dome geometry grid points hemisphere hexagonal icosahedral intersect lesser circle lune Mid-arcs normal number of points octahedral octahedron octet truss orientation origin pairs panel pentagonal perpendicular planar plane Platonic solids pole polygon polyhedra polyhedron position power copy PPT’s edges primitive radius reference model reference points result right triangles rotation Schwarz triangles sequence shown in Figure shows side sphere’s surface spherical caps spherical designs spherical icosahedron spherical Platonic spherical subdivision spherical triangle stereographic projection struts subdivided sphere subdivision grid subdivision schemas surface angles synergetic tangent techniques tessellation tetrahedron three great circles triacon diamond triangle’s triangular trigrid truncated unit sphere vector vertex vertices z-axis