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Convex 3-polytopes with exactly two types of edges. (English) Zbl 0705.52014

An edge of a convex 3-polytope is of type (a,b;m,n) if its vertices are of valence a and b, and if the two faces which contain it are m- and n- gons. The authors describe here all such polytopes which have just two types of edges. They fall into a number of families. Most of these families are finite, but several are infinite (for example, pyramids, bipyramids and their dual prisms).
Reviewer: P.McMullen

MSC:

52B10 Three-dimensional polytopes
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References:

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