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Making Polyhedra with Polyhedral Groups
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| Organization: | Wolfram Research, Inc. |
| Department: | Scientific Information Group |
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2003-03-14
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As mentioned under the Mathworld entry, Polyhedral Group, the platonic and archimedean solids all belong to one of three symmetry groups: Tetrahedral, Octahedral, or Icosahedral.
With these groups of rotation matrices, a single vector can be used to represent the snub cube, and many other solids.
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Special orthogonal group, polyhedra, snub, rotation group, archimedean
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http://mathworld.wolfram.com/PolyhedralGroup.html
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| PolyhedraMap.nb (43.9 KB) - Using Group Theory to make polyhedra |
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