Neighborly Cubical Polytopes and Spheres
组合数学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0503213,
title = {Neighborly Cubical Polytopes and Spheres},
author = {Michael Joswig and Thilo Schr"oder},
journal= {arXiv preprint arXiv:math/0503213},
year = {2007}
}
备注
17 pages, 13 figures