Mathematics – Metric Geometry
Scientific paper
2004-04-26
Mathematics
Metric Geometry
26 pages, 8 figures
Scientific paper
The aim of this paper is to give a survey of the known results concerning centrally symmetric polytopes, spheres, and manifolds. We further enumerate nearly neighborly centrally symmetric spheres and centrally symmetric products of spheres with dihedral or cyclic symmetry on few vertices, and we present an infinite series of vertex-transitive nearly neighborly centrally symmetric 3-spheres.
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