2006/07/17 by Margaret M. Bayer, Bayer, Margaret M., Tibor Bisztriczky +1
Engineering · Mathematics · #52B05 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.math/0607396
openalex publication_date 2006/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a d-simplex every facet is a (d-1)-simplex. We consider as generalized simplices other combinatorial classes of polytopes, all of whose facets are in the class. Cubes and multiplexes are two such classes of generalized simplices. In this paper we study a new class, braxtopes, which arise as the faces of periodically-cyclic Gale polytopes. We give a geometric construction for these polytopes and various combinatorial properties.