Operators over regular maps

Stephen E. Wilson

Research output: Contribution to journalArticlepeer-review

87 Scopus citations


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
Issue number2
StatePublished - Apr 1979

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Operators over regular maps'. Together they form a unique fingerprint.

Cite this