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Dissection of a polar triacontahedron showing the types of polyhedra that are within it.
There is 1 icosahedron, 2 types of dodecahedra, and 3 types of hexahedra. The hexahedra,
or rhombs, are flattened (oblate) , elongated (prolate) , and cubes. The cubes are in 2
orientations. This 6 directional system is defined as having 6 fold symmetry about the
polar axis. Another version of polar triacon can be made with just 3 fold symmetry,
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Jun 5th 2019