English

On braxtopes, a class of generalized simplices

Combinatorics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/0607396,
  title  = {On braxtopes, a class of generalized simplices},
  author = {Margaret M. Bayer and Tibor Bisztriczky},
  journal= {arXiv preprint arXiv:math/0607396},
  year   = {2007}
}

Comments

11 pages