Abstract Regular Polytopes (original) (raw)

Symmetry Properties of Generalized Regular Polytopes

Alexander Kharchenko

arXiv (Cornell University), 2005

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Abstract Polytopes: Regular, Semiregular and Chiral

Gordon Williams

math.auckland.ac.nz

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Ju l 2 01 9 Prescribing Symmetries and Automorphisms for Polytopes

Gordon Williams

2019

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Regular Polytopes in Ordinary Space

Peter McMullen

Discrete & Computational Geometry, 1997

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On Regular Polytopes

Cristian Esteban Neira Rivera

Reports on Mathematical Physics, 2013

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Constructions for regular polytopes

Peter McMullen

Journal of Combinatorial Theory, Series A, 1990

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Prescribing symmetries and automorphisms for polytopes

Gordon Williams

Polytopes and Discrete Geometry, 2021

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Flat regular polytopes

Egon Schulte, Peter McMullen

Annals of Combinatorics, 1997

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Regular Polytopes of Full Rank

Peter McMullen

Discrete and Computational Geometry, 2004

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Polyhedra and polytopes: algebra and combinatorics

Peter McMullen

Contemporary Mathematics, 2006

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On the Size of Equifacetted Semi-Regular Polytopes

Asia Ivic Weiss

2011

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The intersection condition for regular polytopes

Deborah Oliveros-braniff

Journal of Combinatorial Theory, Series A, 2013

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Polytopes associated to Dihedral Groups

Andreas Paffenholz, Benjamin Nill

Ars Mathematica Contemporanea

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On locally spherical polytopes of type {5, 3, 5

Michael Hartley

Discrete Mathematics, 2009

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Twisted Groups and Locally Toroidal Regular Polytopes

Peter McMullen

Transactions of the American Mathematical Society, 1996

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Four-Dimensional Regular Polyhedra

Peter McMullen

Discrete & Computational Geometry, 2007

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Combinatorics of Polytopes with a Group of Linear Symmetries of Prime Power Order

Helena Jorge

Discrete and Computational Geometry, 2003

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Quasi-Regular Polytopes of Full Rank

Peter McMullen

Discrete & Computational Geometry, 2021

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Elemente der Mathematik Euler's polyhedron formula – a starting point of today's polytope theory

Tuan Anh Le

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Determination of the element numbers of the regular polytopes

Ikuro Sato, Jin Akiyama

Geometriae Dedicata, 2012

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Self-Dual Regular 4-Polytopes and Their Petrie-Coxeter-Polyhedra

Peter McMullen

Results in Mathematics, 1987

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On Perfect 4-Polytopes

Gábor Gévay

2002

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Vertex embeddings of regular polytopes

Peter Zvengrowski

Expositiones Mathematicae, 2003

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Regular polyhedra of index two, I

Egon Schulte

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2011

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on-2-skeleta-of-Platonic-polytopes-bhms-2018-62-94-102.pdf

Paul Kainen

Bull. Helenic Math. Society, 2018

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On combinatorial and affine automorphisms of polytopes

Jürgen Bokowski

Israel Journal of Mathematics, 1984

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Regular polytopes from twisted Coxeter groups and unitary reflexion groups

Peter McMullen

Advances in Mathematics, 1990

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Equivalent of permutation polytopes with applications

Shatha Salman

Journal of Al-Qadisiyah for computer science and mathematics

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On 2-Level Polytopes Arising in Combinatorial Settings

Manuel Aprile

SIAM Journal on Discrete Mathematics

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Regular polyhedra related to projective linear groups

Peter McMullen

Discrete Mathematics, 1991

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Workshop on Geometric and Topological Combinatorics

Francisco GDF Leal SGA

2006

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Infinite series of combinatorially regular polyhedra in three-space

Peter McMullen

Geometriae Dedicata, 1988

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Construction theorems for polytopes

Ido Shemer

Israel Journal of Mathematics, 1984

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Quotients of polytopes and C-groups

Peter McMullen

Discrete & Computational Geometry, 1994

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Locally unitary groups and regular polytopes

Egon Schulte

Advances in Applied Mathematics, 2002

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