Two-orbit convex polytopes and tilings

DOI10.1007/s00454-015-9754-2zbMath1341.52034arXiv1403.2125OpenAlexW3101104255MaRDI QIDQ262307

Nicholas Matteo

Publication date: 29 March 2016

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

Full work available at URL: https://arxiv.org/abs/1403.2125

zbMATH Keywords

tilingsconvex polytopeshalf-regularquasiregulartwo-orbit

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Symmetry properties of polytopes (52B15)

Related Items (3)

Combinatorially two-orbit convex polytopes ⋮ Open problems on \(k\)-orbit polytopes ⋮ Automorphism groups of 3-orbit polyhedra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semiregular polytopes and amalgamated C-groups
• The semiregular polytopes
• Map operations and \(k\)-orbit maps
• Two-orbit polyhedra from groups
• Regular and semi-regular polytopes. III
• On perfect 4-polytopes
• Symmetry type graphs of polytopes and maniplexes
• Regular and semi-regular polytopes. I
• Edge-transitive planar graphs
• Locally finite, planar, edge-transitive graphs
• Abstract Regular Polytopes
• Developments and open problems on chiral polytopes
• Three-periodic nets and tilings: regular and quasiregular nets
• Uniform polyhedra

This page was built for publication: Two-orbit convex polytopes and tilings