Minimal covers of the prisms and antiprisms

被引：9

作者：

Hartley, Michael I. ^{[2
]}

Pellicer, Daniel ^{[3
]}

Williams, Gordon ^{[1
]}

机构：

[1] Univ Alaska Fairbanks, Dept Math & Stat, Fairbanks, AK 99775 USA

[2] DownUnder GeoSolut, Subiaco, WA 6008, Australia

[3] Inst Matemat, Unidad Moreli, Morelia 58089, Michoacan, Mexico

来源：

DISCRETE MATHEMATICS | 2012年 / 312卷 / 20期

关键词：

Abstract polytope; Abstract polyhedron; String C-group; Quotient polytopes; Prism; Antiprism;

D O I：

10.1016/j.disc.2012.06.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper contains a classification of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally, this paper addresses related structural questions in the theory of string C-groups. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3046 / 3058

页数：13

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