Extensions of regular polytopes with preassigned Schlafli symbol

被引：14

作者：

Pellicer, Daniel ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2009年 / 116卷 / 02期

关键词：

Extensions; Abstract regular polytopes;

D O I：

10.1016/j.jcta.2008.06.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We say that a (d + 1)-polytope P is an extension of a polytope K if the facets or the vertex figures of P are isomorphic to K. The Schlafli symbol of any regular extension of a regular polytope is determined except for its first or last entry. For any regular polytope K we construct regular extensions with any even number as first entry of the Schlafli symbol. These extensions are lattices if K is a lattice. Moreover, using the so-called CPR graphs we provide a more general way of constructing extensions of polytopes. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：303 / 313

页数：11