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A maximally symmetric polyhedron of genus 3 with 10 vertices
Author(s) -
Brehm Ulrich
Publication year - 1987
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300013486
Subject(s) - polyhedron , mathematics , combinatorics , genus , symmetry (geometry) , realization (probability) , geometry , botany , biology , statistics
We construct a polyhedron with ten vertices of genus three which has three axes of symmetry. It is as symmetric as possible. Ten is the minimal number of vertices which a polyhedron of genus three can have. A modification of our polyhedron yields a symmetric polyhedral realization of Dyck's regular map.