2005/03/11 by Michael Joswig, Joswig, Michael, Thilo Schr"oder +1
Computer Science · Mathematics · #52B12 #52B70 #57-99 #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #Point processes and geometric inequalities #math.CO #msc:52B12 #msc:52B70 #msc:57-99
paper · pdf · doi:10.48550/arxiv.math/0503213
17 pages, 13 figures
arxiv created 2005/03/11 · openalex publication_date 2005/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 R3.