Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 137-145 (2008)
On braxtopes, a class of generalized simplices
Margaret M. Bayer and Tibor BisztriczkyDepartment of Mathematics, University of Kansas, Lawrence KS 66045-7523 USA, e-mail: firstname.lastname@example.org; Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4 Canada
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: braxtope, elementary polytope, $f$-vector, Gale, $h$-vector, multiplex, polytope, triangulation
Classification (MSC2000): 52B12, 52B05
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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.