Egon Schulte

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All published works

Action	Title	Year	Authors
+	Symmetric Circle Configurations from Regular Skeletal Polyhedra	2025	J. Jin Egon Schulte
+ PDF Chat	Bounds for the Regularity Radius of Delone Sets	2024	Nikolay Dolbilin Alexey Garber Egon Schulte Marjorie Senechal
+	Bounds for the Regularity Radius of Delone Sets	2023	Nikolay Dolbilin Alexey Garber Egon Schulte Marjorie Senechal
+ PDF Chat	The interlacing number for alternating semiregular polytopes	2022	Barry Monson Egon Schulte
+ PDF Chat	On the Regularity Radius of Delone Sets in $${\mathbb {R}}^3$$	2021	Nikolay Dolbilin Alexey Garber Undine Leopold Egon Schulte Marjorie Senechal
+ PDF Chat	Prescribing symmetries and automorphisms for polytopes	2021	Egon Schulte Pablo Soberón Gordon Williams
+ PDF Chat	Realizations of lattice quotients of Petrie-Coxeter polyhedra	2020	Gábor Gévay Egon Schulte
+	Universal Alternating Semiregular Polytopes	2020	Barry Monson Egon Schulte
+	On the regularity radius of Delone sets in $\mathbb{R}^3$	2019	Nikolay Dolbilin Alexey Garber Undine Leopold Egon Schulte
+	Prescribing Symmetries and Automorphisms for Polytopes	2019	Egon Schulte Pablo Soberón Gordon Williams
+	Prescribing Symmetries and Automorphisms for Polytopes	2019	Egon Schulte Pablo Soberón Gordon Williams
+ PDF Chat	On the origin of crystallinity: a lower bound for the regularity radius of Delone sets	2018	Igor A. Baburin Mikhail Bouniaev Nikolay Dolbilin Nikolay Yu. Erokhovets Alexey Garber Sergey V. Krivovichev Egon Schulte
+ PDF Chat	Regular Incidence Complexes, Polytopes, and C-Groups	2018	Egon Schulte
+	Polyhedral Structures, Symmetry, and Applications	2018	Egon Schulte
+	Regular Incidence Complexes, Polytopes, and C-Groups	2017	Egon Schulte
+ PDF Chat	Groups of Ree type in characteristic 3 acting on polytopes	2017	Dimitri Leemans Egon Schulte Hendrik Van Maldeghem
+ PDF Chat	Skeletal Geometric Complexes and Their Symmetries	2017	Egon Schulte Asia Ivić Weiss
+	Regular Incidence Complexes, Polytopes, and C-Groups	2017	Egon Schulte
+	Wythoffian Skeletal Polyhedra in Ordinary Space, I	2016	Egon Schulte Abigail Williams
+	Skeletal Geometric Complexes and Their Symmetries	2016	Egon Schulte Asia Ivić Weiss
+ PDF Chat	Wythoffian Skeletal Polyhedra in Ordinary Space, I	2016	Egon Schulte Abigail Williams
+	Wythoffian Skeletal Polyhedra in Ordinary Space, I	2016	Egon Schulte Abigail Williams
+	Skeletal Geometric Complexes and Their Symmetries	2016	Egon Schulte Asia Ivić Weiss
+ PDF Chat	Polytopes with Preassigned Automorphism Groups	2015	Egon Schulte Gordon Williams
+	Polytopes with Preassigned Automorphism Groups	2015	Egon Schulte Gordon Williams
+ PDF Chat	Regular Polygonal Complexes of Higher Ranks in E³	2015	Egon Schulte
+	Groups of Ree type in characteristic 3 acting on polytopes	2015	Dimitri Leemans Egon Schulte Hendrik Van Maldeghem
+ PDF Chat	Cube-like Incidence Complexes and Their Groups	2015	Andrew C. Duke Egon Schulte
+ PDF Chat	Cube-like incidence complexes and their groups	2015	Andrew C. Duke Egon Schulte
+	Groups of Ree type in characteristic 3 acting on polytopes	2015	Dimitri Leemans Egon Schulte Hendrik Van Maldeghem
+	Polytopes with Preassigned Automorphism Groups	2015	Egon Schulte Gordon Williams
+	Colorful associahedra and cyclohedra	2014	Gabriela Araujo‐Pardo Isabel Hubard Déborah Oliveros Egon Schulte
+	Colorful Associahedra and Cyclohedra	2014	Gabriela Araujo‐Pardo Isabel Hubard Déborah Oliveros Egon Schulte
+ PDF Chat	The regular Grünbaum polyhedron of genus 5	2014	Gábor Gévay Egon Schulte J. M. Wills
+ PDF Chat	Polyhedra, complexes, nets and symmetry	2014	Egon Schulte
+	Polyhedra, Complexes, Nets and Symmetry	2014	Egon Schulte
+ PDF Chat	Polygonal Complexes and Graphs for Crystallographic Groups	2014	Daniel Pellicer Egon Schulte
+	Hereditary Polytopes	2014	Mark Mixer Egon Schulte Asia Ivić Weiss
+	Colorful Associahedra and Cyclohedra	2014	Gabriela Araujo‐Pardo Isabel Hubard Déborah Oliveros Egon Schulte
+	Cube-like Incidence Complexes and Their Groups	2014	Andrew C. Duke Egon Schulte
+	Regular Polygonal Complexes of Higher Ranks in E^3	2014	Egon Schulte
+	Polyhedra, Complexes, Nets and Symmetry	2014	Egon Schulte
+ PDF Chat	Finite polytopes have finite regular covers	2013	Barry Monson Egon Schulte
+ PDF Chat	Regular Polygonal Complexes of Higher Ranks in E³	2013	Egon Schulte
+	Polygonal Complexes and Graphs for Crystallographic Groups	2013	Daniel Pellicer Egon Schulte
+	The Regular Grunbaum Polyhedron of Genus 5	2012	Gábor Gévay Egon Schulte Jörg M. Wills
+	On the size of equifacetted semi-regular polytopes	2012	Tomaž Pisanski Egon Schulte Asia Ivić Weiss
+ PDF Chat	Regular polygonal complexes in space, II	2012	Daniel Pellicer Egon Schulte
+ PDF Chat	Colorful polytopes and graphs	2012	Gabriela Araujo‐Pardo Isabel Hubard Déborah Oliveros Egon Schulte
+ PDF Chat	Icosahedral skeletal polyhedra realizing Petrie relatives of Gordan’s regular map	2012	Anthony M. Cutler Egon Schulte Jörg M. Wills
+	Regular Polygonal Complexes in Space, II	2012	Daniel Pellicer Egon Schulte
+	Icosahedral Skeletal Polyhedra Realizing Petrie Relatives of Gordan's Regular Map	2012	Anthony M. Cutler Egon Schulte Jörg M. Wills
+ PDF Chat	Symmetric graphicahedra	2012	María del Río Francos Isabel Hubard Déborah Oliveros Egon Schulte
+	Colorful Polytopes and Graphs	2012	Gabriela Araujo‐Pardo Isabel Hubard Déborah Oliveros Egon Schulte
+	Semiregular polytopes and amalgamated C-groups	2012	Barry Monson Egon Schulte
+	Cube-Like Polytopes and Complexes	2012	Andrew C. Duke Egon Schulte
+	Finite Polytopes have Finite Regular Covers	2012	Barry Monson Egon Schulte
+	The Regular Grunbaum Polyhedron of Genus 5	2012	Gábor Gévay Egon Schulte Jörg M. Wills
+	Symmetric Graphicahedra	2012	Maria Del Río-Francos Isabel Hubard Déborah Oliveros Egon Schulte
+	Icosahedral Skeletal Polyhedra Realizing Petrie Relatives of Gordan's Regular Map	2012	Anthony M. Cutler Egon Schulte Jörg M. Wills
+	Regular Polygonal Complexes in Space, II	2012	Daniel Pellicer Egon Schulte
+	Hereditary Polytopes	2012	Mark Mixer Egon Schulte Asia Ivić Weiss
+	Colorful Polytopes and Graphs	2012	Gabriela Araujo‐Pardo Isabel Hubard Déborah Oliveros Egon Schulte
+ PDF Chat	Convex-Faced Combinatorially Regular Polyhedra of Small Genus	2011	Egon Schulte Jörg M. Wills
+	Symmetric Graphs from Polytopes of High Rank	2011	Mark Mixer Egon Schulte
+	On the Size of Equifacetted Semi-Regular Polytopes	2011	Tomaž Pisanski Egon Schulte Asia Ivić Weiss
+ PDF Chat	Constructions of Chiral Polytopes of Small Rank	2011	António Breda d’Azevedo Gareth A. Jones Egon Schulte
+ PDF Chat	Regular polyhedra of index two, I	2011	Anthony M. Cutler Egon Schulte
+	Semiregular Polytopes and Amalgamated C-groups	2011	Barry Monson Egon Schulte
+	On the Size of Equifacetted Semi-Regular Polytopes	2011	Tomaž Pisanski Egon Schulte Asia Ivić Weiss
+ PDF Chat	Regular polygonal complexes in space, I	2010	Daniel Pellicer Egon Schulte
+	Constructions of Chiral Polytopes of Small Rank	2010	António Breda d’Azevedo Gareth A. Jones Egon Schulte
+	Combinatorial Space Tiling	2010	Egon Schulte
+	The graphicahedron	2010	Gabriela Araujo‐Pardo Maria Del Río-Francos Mariana López-Dudet Déborah Oliveros Egon Schulte
+	Combinatorial Space Tiling	2010	Egon Schulte
+	Constructions of Chiral Polytopes of Small Rank	2010	António Breda d’Azevedo Gareth Jones Egon Schulte
+	Regular Polyhedra of Index Two, I	2010	Anthony M. Cutler Egon Schulte
+ PDF Chat	Locally toroidal polytopes and modular linear groups	2009	Barry Monson Egon Schulte
+	The Graphicahedron	2009	Gabriela Araujo‐Pardo Maria Del Río-Francos Mariana López-Dudet Déborah Oliveros Egon Schulte
+ PDF Chat	Polytopes with groups of type PGL_2(q)	2009	Dimitri Leemans Egon Schulte
+ PDF Chat	Modular Reduction in Abstract Polytopes	2009	Barry Monson Egon Schulte
+	Polytopes with groups of type PGL_2(q)	2009	Dimitri Leemans Egon Schulte
+	Regular Polygonal Complexes in Space, I	2009	Daniel Pellicer Egon Schulte
+	The Graphicahedron	2009	Gabriela Araujo‐Pardo Maria Del Río-Francos Mariana López-Dudet Déborah Oliveros Egon Schulte
+	Locally Toroidal Polytopes and Modular Linear Groups	2008	Barry Monson Egon Schulte
+	A Local Characterization of Combinatorial Multihedrality in Tilings	2008	Н. П. Долбилин Egon Schulte
+ PDF Chat	Reflection groups and polytopes over finite fields, III	2007	Barry Monson Egon Schulte
+ PDF Chat	Groups of type <i>L</i> <sub>2</sub>(<i>q</i>) acting on polytopes	2007	Dimitri Leemans Egon Schulte
+	Reflection Groups and Polytopes over Finite Fields, III	2007	Barry Monson Egon Schulte
+	Convex and Abstract Polytopes (Thursday, May 19, 2005 to Sunday, May 22, 2005)	2006	Ted Bisztriczky Egon Schulte Asia Ivić Weiss
+ PDF Chat	Problems on polytopes, their groups, and realizations	2006	Egon Schulte Asia Ivić Weiss
+	Semisymmetric graphs from polytopes	2006	Barry Monson Tomaž Pisanski Egon Schulte Asia Ivić Weiss
+	Reflection groups and polytopes over finite fields, II	2006	Barry Monson Egon Schulte
+	Groups of type L_2(q) acting on polytopes	2006	Dimitri Leemans Egon Schulte
+	Reflection groups and polytopes over finite fields, II	2006	Barry Monson Egon Schulte
+	Semisymmetric Graphs from Polytopes	2006	Barry Monson Tomaž Pisanski Egon Schulte Asia Ivić Weiss
+	Problems on Polytopes, Their Groups, and Realizations	2006	Egon Schulte Asia Ivić Weiss
+	Petrie-Coxeter Maps Revisited	2005	Isabel Hubard Egon Schulte Asia Ivić Weiss
+	Petrie-Coxeter Maps Revisited	2005	Isabel Hubard Egon Schulte Asia Ivić Weiss
+	Regular and chiral polytopes in low dimensions	2005	Peter McMullen Egon Schulte
+	Chiral polyhedra in ordinary space, II	2005	Egon Schulte
+ PDF Chat	The Local Theorem for Monotypic Tilings	2004	Н. П. Долбилин Egon Schulte
+ PDF Chat	Chiral Polyhedra in Ordinary Space, I	2004	Egon Schulte
+	Symmetry of Polytopes and Polyhedra	2004	Egon Schulte
+	Reflection groups and polytopes over finite fields, I	2004	Barry Monson Egon Schulte
+	Classical Regular Polytopes	2002	Peter McMullen Egon Schulte
+	Regular Polytopes	2002	Peter McMullen Egon Schulte
+	Miscellaneous Classes of Regular Polytopes	2002	Peter McMullen Egon Schulte
+	Regular Polytopes on Space-Forms	2002	Peter McMullen Egon Schulte
+	Higher Toroidal Polytopes	2002	Peter McMullen Egon Schulte
+	Locally Toroidal 4-Polytopes: I	2002	Peter McMullen Egon Schulte
+	Amalgamation	2002	Peter McMullen Egon Schulte
+	Locally Toroidal 4-Polytopes: II	2002	Peter McMullen Egon Schulte
+	Abstract Regular Polytopes	2002	Peter McMullen Egon Schulte
+	The Mix of a Regular Polytype with a Face	2002	Peter McMullen Egon Schulte
+ PDF Chat	Locally unitary groups and regular polytopes	2002	Peter McMullen Egon Schulte
+ PDF Chat	Symmetric Tessellations on Euclidean Space-Forms	1999	Michael I. Hartley Peter McMullen Egon Schulte
+	Flat regular polytopes	1997	Peter McMullen Egon Schulte
+	On prismatic tiles	1997	Egon Schulte Asia Ivić Weiss
+ PDF Chat	Regular Polytopes in Ordinary Space	1997	Peter McMullen Egon Schulte
+	Symmetry of polytopes and polyhedra	1997	Egon Schulte
+ PDF Chat	Twisted Groups and Locally Toroidal Regular Polytopes	1996	Peter McMullen Egon Schulte
+	Higher Toroidal Regular Polytopes	1996	Peter McMullen Egon Schulte
+ PDF Chat	Free Extensions of Chiral Polytopes	1995	Egon Schulte Asia Ivić Weiss
+	Manifold structures on abstract regular polytopes	1995	Ulrich Brehm Wolfgang Kühnel Egon Schulte
+ PDF Chat	Chiral polytopes from hyperbolic honeycombs	1995	B. Nostrand Egon Schulte
+	Chirality and projective linear groups	1994	Egon Schulte Asia IvićWeiss
+ PDF Chat	Quotients of polytopes and C-groups	1994	Peter McMullen Egon Schulte
+	Classification of Locally Toroidal Regular Polytopes	1994	Egon Schulte
+	Locally toroidal regular polytopes of rank 4	1992	Peter McMullen Egon Schulte
+	Regular polytopes of type {4,4,3} and {4,4,4}	1992	Peter McMullen Egon Schulte
+	Finite quotients of infinite universal polytopes	1991	Peter McMullen Egon Schulte
+ PDF Chat	Chiral polytopes	1991	Egon Schulte Asia Ivić Weiss
+	On a glass of abstract polytopes constructed from binary codes	1990	Egon Schulte
+	Regular polytopes from twisted Coxeter groups and unitary reflexion groups	1990	Peter McMullen Egon Schulte
+	Hermitian forms and locally toroidal regular polytopes	1990	Peter McMullen Egon Schulte
+	Finite Quotients of Infinite Universal Polytopes.	1990	Peter McMullen Egon Schulte
+	Regular polytopes from twisted Coxeter groups	1989	Peter McMullen Egon Schulte
+ PDF Chat	Generating Combinatorial Complexes of Polyhedral Type	1988	Egon Schulte
+	Infinite series of combinatorially regular polyhedra in three-space	1988	Peter McMullen Egon Schulte J. M. Wills
+	Amalgamation of Regular Incidence-Polytopes	1988	Egon Schulte
+ PDF Chat	Generating combinatorial complexes of polyhedral type	1988	Egon Schulte
+	Self-Dual Regular 4-Polytopes and Their Petrie-Coxeter-Polyhedra	1987	Peter McMullen Egon Schulte
+ PDF Chat	Kepler-Poinsot-Type Realizations of Regular Maps of Klein, Fricke, Gordan and Sherk	1987	Egon Schulte J. M. Wills
+	On Coxeter's regular skew polyhedra	1986	Egon Schulte J. M. Wills
+ PDF Chat	Geometric realizations for Dyck's regular map on a surface of genus 3	1986	Egon Schulte J. M. Wills
+	A Polyhedral Realization of Felix Klein's Map {3, 7}<sub>8</sub> on a Riemann Surface of Genus 3	1985	Egon Schulte J. M. Wills
+	Regular incidence-polytopes with Euclidean or toroidal faces and vertex-figures	1985	Egon Schulte
+	The existence of non-tiles and non-facets in three dimensions	1985	Egon Schulte
+	Nontiles and nonfacets for the Euclidean space, spherical complexes and convex polytopes.	1984	Egon Schulte
+	Tiling Three-Space by Combinatorially Equivalent Convex Polytopes	1984	Egon Schulte
+	Regul�re Inzidenzkomplexe III	1983	Egon Schulte
+	Regul�re Inzidenzkomplexe II	1983	Egon Schulte
+	Regul�re Inzidenzkomplexe I	1982	Ludwig Danzer Egon Schulte
+	Konstruktion regul�rer H�llen konstanter Breite	1981	Egon Schulte

Common Coauthors

Coauthor	Papers Together
Peter McMullen	27
Asia Ivić Weiss	18
Barry Monson	16
Déborah Oliveros	11
Isabel Hubard	10
Gabriela Araujo‐Pardo	9
Dimitri Leemans	7
Jörg M. Wills	6
J. M. Wills	6
Gordon Williams	6
Tomaž Pisanski	5
Anthony M. Cutler	5
Alexey Garber	5
Nikolay Dolbilin	5
Maria Del Río-Francos	4
Andrew C. Duke	4
Gábor Gévay	4
Daniel Pellicer	4
Hendrik Van Maldeghem	3
Marjorie Senechal	3
Mariana López-Dudet	3
António Breda d’Azevedo	3
Pablo Soberón	3
Mark Mixer	3
Daniel Pellicer	3
Gareth A. Jones	2
Abigail Williams	2
Н. П. Долбилин	2
Undine Leopold	2
Mikhail Bouniaev	1
Nikolay Yu. Erokhovets	1
B. Nostrand	1
Asia Ivic Weiss	1
Abigail Williams	1
J. Jin	1
Michael I. Hartley	1
Wolfgang Kühnel	1
Ted Bisztriczky	1
María del Río Francos	1
Gareth Jones	1
Ulrich Brehm	1
Igor A. Baburin	1
Ludwig Danzer	1
Sergey V. Krivovichev	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Abstract Regular Polytopes	2002	Peter McMullen Egon Schulte	56
+	Generators and Relations for Discrete Groups	1972	H. S. M. Coxeter W. O. J. Moser	50
+	Generators and Relations for Discrete Groups	1980	H. S. M. Coxeter W. O. J. Moser	35
+	Regul�re Inzidenzkomplexe III	1983	Egon Schulte	28
+	Regul�re Inzidenzkomplexe I	1982	Ludwig Danzer Egon Schulte	24
+	Hermitian forms and locally toroidal regular polytopes	1990	Peter McMullen Egon Schulte	20
+	Regular Incidence-Complexes and Dimensionally Unbounded Sequences of Such, I	1984	Ludwig Danzer	19
+	Chirality and projective linear groups	1994	Egon Schulte Asia IvićWeiss	19
+	Realizations of regular polytopes	1988	Peter McMullen	17
+	Generators and Relations for Discrete Groups. By H. S. M. Coxeter and W O. Moser. Pp. ix, 161. DM. 32. (Second Edition; Springer-Verlag)	1966	E. A. Maxwell	17
+	Regular 4‐polytopes related to general orthogonal groups	1990	Barry Monson Asia Ivić Weiss	17
+	A combinatorial theory of Grünbaum's new regular polyhedra, part I: Grünbaum's new regular polyhedra and their automorphism group	1981	Andreas Dress	16
+ PDF Chat	Regular Polytopes in Ordinary Space	1997	Peter McMullen Egon Schulte	15
+	Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues	1938	H. S. M. Coxeter	14
+	Regular 3-complexes with toroidal cells	1977	H. S. M. Coxeter G. C. Shephard	14
+	Amalgamation of Regular Incidence-Polytopes	1988	Egon Schulte	14
+	Diagrams for geometries and groups	1979	Francis Buekenhout	13
+ PDF Chat	Buildings of Spherical Type and Finite BN-Pairs	1974	Jacques Tits	12
+	Realizations of regular polytopes	1989	Peter McMullen	12
+	Higher Toroidal Regular Polytopes	1996	Peter McMullen Egon Schulte	12
+	A combinatorial theory of Grünbaum's new regular polyhedra, Part II: Complete enumeration	1985	Andreas Dress	12
+	Regular and semi-regular polytopes. III	1988	H. S. M. Coxeter	12
+	Regular polytopes from twisted Coxeter groups and unitary reflexion groups	1990	Peter McMullen Egon Schulte	12
+	Incidence-polytopes of type {6, 3, 3}	1986	Asia Ivić Weiss	11
+	Regular Complex Polytopes	1952	G. C. Shephard	11
+	A Symmetrical Arrangement of Eleven Hemi-Icosahedra	1984	H. S. M. Coxeter	11
+	A Local Approach to Buildings	1981	Jacques Tits	11
+	Regular incidence-polytopes with Euclidean or toroidal faces and vertex-figures	1985	Egon Schulte	11
+ PDF Chat	Incidence-polytopes with toroidal cells	1989	Asia Ivić Weiss	11
+ PDF Chat	Regular Polytopes of Full Rank	2004	Peter McMullen	11
+ PDF Chat	A Family of Regular Maps of Type {6, 6}	1962	F. A. Sherk	11
+ PDF Chat	Groups Generated by Unitary Reflections of Period Two	1957	H. S. M. Coxeter	11
+	Twelve Geometric Essays	1968	H. S. M. Coxeter	11
+	Reflection Groups and Coxeter Groups	1990	James E. Humphreys	11
+	Regular projective polyhedra with planar faces I	2000	Jorge L. Arocha Javier Bracho L. Montejano	10
+	The Regular Maps on a Surface of Genus Three	1959	F. A. Sherk	10
+	Lectures on Polytopes	1994	Günter M. Ziegler	9
+ PDF Chat	An infinite graph of girth 12	1984	Asia Ivić Weiss	9
+ PDF Chat	Regular polygonal complexes in space, I	2010	Daniel Pellicer Egon Schulte	9
+	Reflection groups and polytopes over finite fields, I	2004	Barry Monson Egon Schulte	9
+	Two-orbit polyhedra from groups	2009	Isabel Hubard	9
+ PDF Chat	Chiral Polyhedra in Ordinary Space, I	2004	Egon Schulte	9
+	Regular polytopes from twisted Coxeter groups	1989	Peter McMullen Egon Schulte	9
+ PDF Chat	Simplicial Quadratic Forms	1983	Barry Monson	9
+	Regular combinatorial maps	1983	Andrew Vince	9
+ PDF Chat	Regular polygonal complexes in space, II	2012	Daniel Pellicer Egon Schulte	9
+	Regular maps and hypermaps of Euler characteristic −1 to −200	2008	Marston Conder	9
+	Finite Diagram Geometries Extending Buildings	1995	Francis Buekenhout Antonio Pasini	9
+	Regular polytopes and equivariant tessellations from a combinatorial point of view	1985	Andreas Dress	9
+	Regular Polytopes	2002	Peter McMullen Egon Schulte	8