Regular polyhedra with hidden symmetries
type: Item
instance of: scholarly article
title: Regular polyhedra with hidden symmetries
zbMATH Open document ID: 0643.51022
DOI: 10.1007/BF03023848
author: Jürgen Bokowski
author: Jörg M. Wills
published in: The Mathematical Intelligencer
publication date: 1988-01-01T00:00:00Z
review text: The paper is a popular account on some recent discoveries of combinatorially regular polyhedra in real 3-space. The emphasis is on the polyhedral realizations in 3-space of (1) Felix Klein's map \(\{3,7\}_ 8\) of genus 3 discovered by the reviewer and the second author, (2) Dyck's map \(\{3,8\}_ 8\) of genus 3 discovered independently by the first author and U. Brehm, and (3) of Coxeter's regular skew polyhedra in 4-space constructed by standard projection techniques.
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 4048529
zbMATH Keywords: regular maps on surfaces
zbMATH Keywords: combinatorially regular polyhedra in real 3- space
zbMATH Keywords: Klein's map
zbMATH Keywords: Dyck's map
zbMATH Keywords: Coxeter's regular skew polyhedra in 4- space
reviewed by: Egon Schulte
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf03023848
OpenAlex ID: W3023922135
description: scientific article; zbMATH DE number 4048529