Neighborly cubical polytopes and spheres
- Cite this article as:
- Joswig, M. & Rörig, T. Isr. J. Math. (2007) 159: 221. doi:10.1007/s11856-007-0044-4
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We prove that the neighborly cubical polytopes studied by Günter M. Ziegler and the first named author  arise as a special case of the 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 ℝ3.