Operators over regular maps

Research output: Contribution to journalArticle

66 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)559-568
Number of pages10
JournalPacific Journal of Mathematics
Volume81
Issue number2
StatePublished - 1979
Externally publishedYes

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Regular Map
Operator
Icosahedron
Taxonomy
Transform
Distinct
Path

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Operators over regular maps. / Wilson, Stephen E.

In: Pacific Journal of Mathematics, Vol. 81, No. 2, 1979, p. 559-568.

Research output: Contribution to journalArticle

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