TY - JOUR
T1 - Operators over regular maps
AU - Wilson, Stephen E.
PY - 1979/4
Y1 - 1979/4
N2 - 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.
AB - 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.
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U2 - 10.2140/pjm.1979.81.559
DO - 10.2140/pjm.1979.81.559
M3 - Article
AN - SCOPUS:84972488035
SN - 0030-8730
VL - 81
SP - 559
EP - 568
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 2
ER -