Truncating the vertices of the icosahedron and dodecahedron generates three

more Archimedean solids that are symmetrically identical to them: the truncated

icosahedron, the truncated dodecahedron, and the icosidodecahedron.

Fig. 14 - Truncating the icosahedron and dodecahedron

.

Note:   As noted before squares and/or triangles are used to construct the

pentagon, decagon, and dodecagon faces of some polyhedra to show

symmetrically identical models of them, not their classical appearance.

Exercise:  Truncating which polyhedra creates the triangle faces of the

icosidodecahedron?  How about the pentagon faces?  Why?

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