Neighborly Cubical Polytopes and Spheres

Details Neighborly Cubical Polytopes and Spheres Neighborly Cubical Polytopes and Spheres

2005-03-11

arxiv.org/abs/math/0503213v1

Mathematics

Combinatorics

17 pages, 13 figures

Scientific paper

We prove that the neighborly cubical polytopes studied by G"unter M. Ziegler and the first author arise as a special case of neighborly cubical spheres constructed by Babson, Billera, and Chan. By relating the two constructions we obtain an explicit description of a non-polytopal neighborly cubical sphere and, further, a new proof of the fact that the cubical equivelar surfaces of McMullen, Schulz, and Wills can be embedded into R^3.

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