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Convex segmentochora. (English) Zbl 1026.52005

Summary: Polytopes with all vertices both (A) on a (hyper-) sphere and (B) on a pair of parallel (hyper-) planes, and further (C) with all edges of equal length I will call segmentotopes. Moreover, in dimensions 2, 3 and 4 names like segmentogon, segmentohedron, and segmentochoron could be used. In this article the convex segmentotopes up to dimension 4 are listed.

MSC:

52A20 Convex sets in \(n\) dimensions (including convex hypersurfaces)

Keywords:

segmentotopes
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