Original scientific paper

Symmetry-type graphs of Platonic and Archimedean solids

Jurij Kovič ; Institute of Mathematics, Physics and Mechanics, University of Ljubljana, Ljubljana, Slovenia

Abstract

A recently developed theory of flag-graphs and $k$-orbit maps
classifies maps according to their symmetry-type graphs. We
propose a similar classification for polyhedra showing that
Platonic and Archimedean solids with the same vertex pattern have
isomorphic symmetry-type graphs and introducing some tools for the
determination of symmetry-type graphs of any polyhedron.

Keywords

Platonic solids; Archimedean solids; symmetry-type graphs

Hrčak ID:

74895

URI

https://hrcak.srce.hr/74895

Publication date:

21.12.2011.

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