Divided Spheres

Divided Spheres

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This well-illustrated booka€”in color throughouta€”presents a thorough introduction to the mathematics of Buckminster Fullera€™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.A loop is made of many smaller scissor-pairs of lightweight tubular elements jointed to one another or to small hubs. ... In this arrangement, even though one loop-assembly passes through (intersects) another, they do not inhibit each othera#39;s ... Across its faces is a continuous track or groove that defines the edges of another spherical polyhedron, the dodecahedron. These two polyhedra, the icosahedron and dodecahedron, are duals, which mean they have a symmetrical relationship.

Title:Divided Spheres
Author:Edward S. Popko
Publisher:CRC Press - 2012-07-30


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