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Cross Reference
Dimpling: Dimpling Effect: Octahedron:
"I am going to make a tetrahedron, octahedron and an icosahedron. You can visualize those you know. I am going to make them out of steel rods with rubber joints. Steel rods have some flexibility in them. They are thin and if you press them hard they will bend, yield.
“I am going to press on the vertex, any one vertex of an octahedron-- it has six vertexes. And its legs being of steel are springy and will yield and the rubber joints will permit it, so it dimples. So if I dimple the octahedron, one-half the octahedron. If you look at the octahedron with a point we might call elevated, and a point lower, then we have four points around its equator. So I press in on this top one, the North Pole, and it now turns in, dimples in, and one-half of the octahedron fits into the other half of the octahedron, each being the shape of an Egyptian pyramid, a square-based pyramid. But it nests inside itself like a football being deflated, with one-half nested in the other half.”
