A geometric realization without self-intersections does exist for Dyck's regular map
type: Item
instance of: scholarly article
title: A geometric realization without self-intersections does exist for Dyck's regular map
zbMATH Open document ID: 0689.51010
DOI: 10.1007/BF02187748
author: Jürgen Bokowski
published in: Discrete \& Computational Geometry
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131097
review text: Dyck's map \(\{3,8\}_ 6\) is a regular triangulation of the orientable surface of genus 3 with \(f_ 0=12\) vertices, \(f1=48\) edges and \(f_ 2=32\) triangular faces. The author constructs an embedding into \(E^ 3\) such that each face is a planar euclidean triangle. This polyhedron in \(E^ 3\) has no euclidean symmetries. For such an embedding with the maximal possible symmetry group of order 6 see \textit{U. Brehm}, Mathematika 34, No.2, 229-236 (1987; Zbl 0663.52004).
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4129532
zbMATH Keywords: Dyck's regular map
reviewed by: Wolfgang Kühnel
MaRDI profile type: Publication
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OpenAlex ID: W2001386083
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description: scientific article; zbMATH DE number 4129532