Polyhedra with 4-7 Faces

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay
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These are Schlegel Nets; that is, one face (usually the one with the most edges) has been selected as a base and the polyhedron flattened into a plane within the enclosing polygon. To help with identifying faces, they are color-coded as follows:

Also, we are only concerned with topologically distinct polyhedra, that is, differing in number or type of faces and vertices. Thus, a triangular prism and a tetrahedron with one vertex truncated are topologically equivalent 5-hedra, a cube and rhombohedron are topologically equivalent 6-hedra, and so on.

4- 5- and 6-hedra

There is ony one t

7-hedra with 6 or 7 vertices

7-hedra with 8 vertices

7-hedra with 9 or 10 vertices


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Created 23 Sep 1997, Last Update 7 June 1999

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