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The March 1, 1943, edition of Life magazine included a photographic essay titled "Life Presents R. Buckminster Fuller's Dymaxion World", illustrating a projection onto a cuboctahedron, including several examples of possible arrangements of the square and triangular pieces, and a pull-out section of one-sided magazine pages with the map faces printed on them, intended to be cut out and glued to ...
R. Buckminster Fuller (in collaboration with E.J. Applewhite, Synergetics: Explorations in the Geometry of Thinking, online edition hosted by R. W. Gray with permission , originally published by Macmillan , Vol. 1 in 1975 (with a preface and contribution by Arthur L. Loeb; ISBN 0-02-541870-X), and Vol. 2 in 1979 (ISBN 0025418807), as two hard ...
In geometry, the 31 great circles of the spherical icosahedron is an arrangement of 31 great circles in icosahedral symmetry. [1] It was first identified by Buckminster Fuller and is used in construction of geodesic domes.
Buckminster Fuller's Dymaxion map. A polyhedral map projection is a map projection based on a spherical polyhedron. Typically, the polyhedron is overlaid on the globe, and each face of the polyhedron is transformed to a polygon or other shape in the plane. The best-known polyhedral map projection is Buckminster Fuller's Dymaxion map.
Fuller was born on July 12, 1895, in Milton, Massachusetts, the son of Richard Buckminster Fuller, a prosperous leather and tea merchant, and Caroline Wolcott Andrews. He was a grand-nephew of Margaret Fuller , an American journalist, critic, and women's rights advocate associated with the American transcendentalism movement.
Geodesic polyhedra are a good approximation to a sphere for many purposes, and appear in many different contexts. The most well-known may be the geodesic domes, hemispherical architectural structures designed by Buckminster Fuller, which geodesic polyhedra are named after. Geodesic grids used in geodesy also have the geometry of geodesic polyhedra.
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The truncated icosahedral graph. According to Steinitz's theorem, the skeleton of a truncated icosahedron, like that of any convex polyhedron, can be represented as a polyhedral graph, meaning a planar graph (one that can be drawn without crossing edges) and 3-vertex-connected graph (remaining connected whenever two of its vertices are removed ...