Geometric realizations for Dyck's regular map on a surface of genus 3 (Q1077714)
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scientific article; zbMATH DE number 3958115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric realizations for Dyck's regular map on a surface of genus 3 |
scientific article; zbMATH DE number 3958115 |
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Geometric realizations for Dyck's regular map on a surface of genus 3 (English)
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1986
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Dyck's regular map \(\{3,8\}_6\) on a surface of genus 3 is realized as a polyhedron in \(E^3\) with self-intersections and with (maximal possible) tetrahedral symmetry group. The construction uses two octahedra and certain ''tunnels'' between them. Remark: Recently a polyhedral model in \(E^3\) without selfintersections (and less symmetry) of the same map has been constructed by J. Bokowski.
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Petrie polygon
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regular tessellation
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Kepler-Poinsot polyhedra
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Dyck's quartic
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Riemann surface of genus 3
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Dyck's regular map
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tetrahedral symmetry group
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0.8720509
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0.8714669
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0.86236954
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0.8577548
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0.8568739
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0.8554064
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0.8543241
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