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icosahedron |
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icosahedron (īkō'səhē`drən): see polyhedron polyhedron (pŏl'ēhē`drən), closed solid bounded by plane faces; each face of a polyhedron is a polygon . ..... Click the link for more information. . icosahedron a solid figure having 20 faces. The faces of a regular icosahedron are equilateral triangles icosahedron [ī¦kä·sə¦hē·drən] (mathematics) A 20-sided polyhedron. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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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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