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
Publication date:
21.12.2011.
Visits: 3.203 *