Finite 3-orbit polyhedra in ordinary space. I
From MaRDI portal
Publication:6142367
DOI10.1007/s00454-023-00502-3OpenAlexW4381282240MaRDI QIDQ6142367
Daniel Pellicer, Gabe Cunningham
Publication date: 21 December 2023
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-023-00502-3
Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Symmetry properties of polytopes (52B15) Group actions on combinatorial structures (05E18)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification of tight regular polyhedra
- Wythoffian skeletal polyhedra in ordinary space. I
- Vertex-transitive polyhedra of higher genus. I
- Regular polyhedra of index two. I.
- Chiral polyhedra in ordinary space. I
- Regular polyhedra of index two. II.
- Map operations and \(k\)-orbit maps
- Two-orbit polyhedra from groups
- A combinatorial theory of Grünbaum's new regular polyhedra. II: Complete enumeration
- Geometric realizations for Dyck's regular map on a surface of genus 3
- Completely classifying all vertex-transitive and edge-transitive polyhedra. I: Necessary class conditions
- Regular polyhedra - old and new
- A combinatorial theory of Gruenbaum's new regular polyhedra. I: Gruenbaum's new regular polyhedra and their automorphism group
- Symmetries of equivelar 4-toroids
- Quasi-regular polytopes of full rank
- Automorphism groups of 3-orbit polyhedra
- The regular Grünbaum polyhedron of genus 5
- Symmetry type graphs of polytopes and maniplexes
- An atlas of small regular abstract polytopes
- Equivelar maps on the torus
- Chiral polyhedra in ordinary space. II
- Minimal equivelar polytopes
- A Polyhedral Realization of Felix Klein's Map {3, 7}8 on a Riemann Surface of Genus 3
- Kepler-Poinsot-Type Realizations of Regular Maps of Klein, Fricke, Gordan and Sherk
- Abstract Regular Polytopes
- Uniform polyhedra
