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Kepler-Poinsot-Type Realizations of Regular Maps of Klein, Fricke, Gordan and Sherk

Published online by Cambridge University Press:  20 November 2018

E. Schulte  and
J. M. Wills
E. Schulte
Affiliation:
Math. Inst. Univ. Dortmund Neubau Mathem. D-4600 Dortmund 50
J. M. Wills
Affiliation:
Math. Inst. Univ. Siegen Hoelderlinstr. 3 D-5900 Siegen
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Abstract

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The paper describes polyhedral realizations for Felix Klein's map {3, 7}8 of genus 3, for Gordan's map {4, 5}6 of genus 4, and for two maps of genus 5, the Klein-Fricke map of type {3, 8} and Sherk's map of type {4, 6}. The polyhedra have self-intersections but high symmetry and thus are close analogues to the Kepler-Poinsot-polyhedra.

Keywords

1. 51M202. 52A253. 30F99Regular Polyhedraregular maps on surfaces
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 2 , 01 June 1987 , pp. 155 - 164
Copyright
Copyright © Canadian Mathematical Society 1987

References

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