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icosahedron |
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icosahedron
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Icosahedra also have locations around which there is threefold or twofold symmetry. Regular icosahedra and dodecahedra are special forms of both icosahedral point groups, 235 and m35. By contrast, in dimension three, the most symmetric kissing arrangement--the icosahedron--leaves wiggle room between the spheres and can't be extended to all of space, since icosahedra can't fill space without overlapping. |
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