Realizations of lattice quotients of Petrie-Coxeter polyhedra
From MaRDI portal
Publication:5041811
DOI10.26493/2590-9770.1358.428zbMath1498.51021OpenAlexW3113485225MaRDI QIDQ5041811
Publication date: 18 October 2022
Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.26493/2590-9770.1358.428
automorphism groupregular mappolyhedral embeddingregular polyhedronpolyhedral 2-manifoldPetrie-Coxeter polyhedron
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Polyhedra and polytopes; regular figures, division of spaces (51M20) Polyhedral manifolds (52B70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convex-faced combinatorially regular polyhedra of small genus
- Regular polyhedra of index two. I.
- A geometric realization without self-intersections does exist for Dyck's regular map
- Polyhedral 2-manifolds in \(E^ 3\) with unusually large genus
- Two-orbit polyhedra from groups
- Neighborly cubical polytopes and spheres
- Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
- A combinatorial theory of Grünbaum's new regular polyhedra. II: Complete enumeration
- On Coxeter's regular skew polyhedra
- The combinatorially regular polyhedra of index 2
- Infinite series of combinatorially regular polyhedra in three-space
- Regular polyhedra with hidden symmetries
- Equivelar polyhedral manifolds in \(E^ 3\).
- Regular polyhedra - old and new
- Neighborly cubical polytopes
- Regular polyhedra in the 3-torus
- Polytopality of maniplexes
- A combinatorial theory of Gruenbaum's new regular polyhedra. I: Gruenbaum's new regular polyhedra and their automorphism group
- The regular Grünbaum polyhedron of genus 5
- Polyhedral surfaces in wedge products
- 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
- Convex Polytopes
- Abstract Regular Polytopes
- 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
- Mixing and monodromy of abstract polytopes
This page was built for publication: Realizations of lattice quotients of Petrie-Coxeter polyhedra