Neighborly Cubical Polytopes and Spheres

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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.
17 pages, 13 figures

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Combinatorics, 52B70; 57-99; 52B12

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http://salesiana.dossiersoluciones.com/handle/123456789/74462

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503213
 http://arxiv.org/abs/math/0503213

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arXiv