OPERATORS OVER REGULAR MAPS

被引：92

作者：

WILSON, SE

机构：

[1] Michigan State University, East Lansing, MI

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 81卷 / 02期

关键词：

D O I：

10.2140/pjm.1979.81.559

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we define certain operators, each of which transforms one regular map into another. These operator are based on the notions of Petrie path and jth order “hole” introduced by Coxeter. Together with the usual dual operator, they are a powerful tool for the analysis and taxonomy of regular maps. We produce, as an example, 18 distinct maps from the icosahedron, including six of Brahana and Coble's eight pentagonal dodecahedra. © 1979 by Pacific Journal of Mathematics.

引用

页码：559 / 568

页数：10