Regular polyhedra with hidden symmetries

DOI10.1007/BF03023848zbMath0643.51022OpenAlexW3023922135MaRDI QIDQ1101959

Jürgen Bokowski, Jörg M. Wills

Publication date: 1988

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03023848

zbMATH Keywords

regular maps on surfacescombinatorially regular polyhedra in real 3- spaceCoxeter's regular skew polyhedra in 4- spaceDyck's mapKlein's map

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Polytopes and polyhedra (52Bxx)

Related Items (4)

Hurwitz's regular map <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfenced><mml:mn>3</mml:mn><mml:mn>7</mml:mn></mml:mfenced></mml:math> of genus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>7</mml:mn></mml:math>: A polyhedral realization ⋮ Realizations of lattice quotients of Petrie-Coxeter polyhedra ⋮ Some aspects of the symmetry and topology of possible carbon allotrope structures ⋮ Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds

Cites Work

• A geometric realization without self-intersections does exist for Dyck's regular map
• Polyhedral 2-manifolds in \(E^ 3\) with unusually large genus
• On Coxeter's regular skew polyhedra
• Infinite series of combinatorially regular polyhedra in three-space
• From the history of a simple group
• Regular polyhedra - old and new
• Über drei kombinatorische Probleme am \(n\)-dimensionalen Würfel und Würfelgitter
• A Polyhedral Realization of Felix Klein's Map {3, 7}₈ on a Riemann Surface of Genus 3
• Maximally symmetric polyhedral realizations of Dyck's regular map
• The Abstract Groups G m,n,p
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Regular polyhedra with hidden symmetries