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A maximally symmetric polyhedron of genus 3 with 10 vertices

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Ulrich Brehm
Ulrich Brehm
Affiliation:
FB 3-Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, 1000 Berlin 12, West-Germany.
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Abstract

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.

MSC classification

Secondary: 52A37: Other problems of combinatorial convexity
Type
Research Article
Information
Mathematika , Volume 34 , Issue 2 , December 1987 , pp. 237 - 242
Copyright
Copyright © University College London 1987

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References

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