Combinatorial structure of Schulte's chiral polyhedra

DOI10.1007/s00454-010-9247-2zbMath1198.51010OpenAlexW1973144466MaRDI QIDQ977186

Daniel Pellicer, Asia Ivić Weiss

Publication date: 21 June 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-010-9247-2

zbMATH Keywords

automorphism groupsymmetry groupchiral polyhedron

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)

Related Items (11)

Regular polyhedra in the 3-torus ⋮ Realising equivelar toroids of type \(\{4,4\}\) ⋮ Wythoffian skeletal polyhedra in ordinary space. I ⋮ Skeletal geometric complexes and their symmetries ⋮ Chiral 4-polytopes in ordinary space ⋮ Chiral polyhedra in 3-dimensional geometries and from a Petrie-Coxeter construction ⋮ Open problems on \(k\)-orbit polytopes ⋮ Regular polygonal complexes in space, I ⋮ Polyhedra, complexes, nets and symmetry ⋮ Regular polygonal complexes in space, II ⋮ Polygonal Complexes and Graphs for Crystallographic Groups

Cites Work

• Unnamed Item
• Unnamed Item
• Chiral polyhedra in ordinary space. I
• A combinatorial theory of Grünbaum's new regular polyhedra. II: Complete enumeration
• Regular polyhedra - old and new
• Chirality and projective linear groups
• Regular polytopes in ordinary space
• A combinatorial theory of Gruenbaum's new regular polyhedra. I: Gruenbaum's new regular polyhedra and their automorphism group
• Determination of all regular maps of small genus
• Problems on polytopes, their groups, and realizations
• Chiral polyhedra in ordinary space. II
• Abstract Regular Polytopes
• Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues

This page was built for publication: Combinatorial structure of Schulte's chiral polyhedra