Divided Spheres: Geodesics And The Orderly Subdivision Of The Sphere
Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere
This 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.
"… illustrations in the book, nearly all of them computer generated, are very good indeed. … The book contains an extremely detailed metrical treatment of all the regular and Archimedean polyhedra. An important construction is the space tessellating octahedron + tetrahedron which Fuller described as ‘simplest, most powerful structural system in the universe.’ Taking tubes along the edges of the tessellation, he devised and patented a joint to which up to nine tubes could be connected, making a very rigid structure. This is called the ‘octet struss connector’ and receives an entire, beautifully illustrated chapter in the book. … remarkable book … the sheer...