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Original scientific paper

Symmetry-type graphs of Platonic and Archimedean solids

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

Fulltext: english, pdf (297 KB) pages 491-507 downloads: 974* cite
APA 6th Edition
Kovič, J. (2011). Symmetry-type graphs of Platonic and Archimedean solids. Mathematical Communications, 16 (2), 491-507. Retrieved from https://hrcak.srce.hr/74895
MLA 8th Edition
Kovič, Jurij. "Symmetry-type graphs of Platonic and Archimedean solids." Mathematical Communications, vol. 16, no. 2, 2011, pp. 491-507. https://hrcak.srce.hr/74895. Accessed 24 Aug. 2019.
Chicago 17th Edition
Kovič, Jurij. "Symmetry-type graphs of Platonic and Archimedean solids." Mathematical Communications 16, no. 2 (2011): 491-507. https://hrcak.srce.hr/74895
Harvard
Kovič, J. (2011). 'Symmetry-type graphs of Platonic and Archimedean solids', Mathematical Communications, 16(2), pp. 491-507. Available at: https://hrcak.srce.hr/74895 (Accessed 24 August 2019)
Vancouver
Kovič J. Symmetry-type graphs of Platonic and Archimedean solids. Mathematical Communications [Internet]. 2011 [cited 2019 August 24];16(2):491-507. Available from: https://hrcak.srce.hr/74895
IEEE
J. Kovič, "Symmetry-type graphs of Platonic and Archimedean solids", Mathematical Communications, vol.16, no. 2, pp. 491-507, 2011. [Online]. Available: https://hrcak.srce.hr/74895. [Accessed: 24 August 2019]

Abstracts
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

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