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

Schulte, E. ; Wills, J. M.

Canadian mathematical bulletin, Tome 30 (1987) no. 2, pp. 155-164

Résumé

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.

Détail

DOI : 10.4153/CMB-1987-023-9

Mots-clés : 1. 51M20, 2. 52A25, 3. 30F99, Regular Polyhedra, regular maps on surfaces

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