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Shephard, Geoffrey Colin

Author ID: shephard.geoffrey-colin Recent zbMATH articles by "Shephard, Geoffrey Colin"
Published as: Shephard, Geoffrey C.; Shephard, G. C.; Shephard, Geoffrey Colin
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Serials

15 Mathematika
10 Canadian Journal of Mathematics
8 American Mathematical Monthly
8 The Mathematical Gazette
8 Journal of the London Mathematical Society
7 Geometriae Dedicata
6 Mathematics Magazine
5 Discrete Mathematics
5 Israel Journal of Mathematics
3 Topologie Structurale
3 Discrete & Computational Geometry
3 L’Enseignement Mathématique. 2e Série
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Archiv der Mathematik
2 Journal of Combinatorial Theory. Series B
2 Journal of Geometry
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Annalen
2 Proceedings of the London Mathematical Society. Third Series
2 Results in Mathematics
2 Studia Scientiarum Mathematicarum Hungarica
2 Tensor. New Series
2 Transactions of the American Mathematical Society
2 Elemente der Mathematik
2 Geombinatorics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Periodica Mathematica Hungarica
1 Zeitschrift für Kristallographie
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 The Fibonacci Quarterly
1 Journal of Combinatorial Theory. Series A
1 Journal of Graph Theory
1 Mathematica Scandinavica
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 European Journal of Combinatorics
1 Bulletin of the American Mathematical Society. New Series
1 Nieuw Archief voor Wiskunde. Vierde Serie
1 London Mathematical Society Lecture Note Series
1 Archimede

Publications by Year

Citations contained in zbMATH Open

119 Publications have been cited 2,547 times in 2,094 Documents Cited by Year
Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603
Grünbaum, Branko
708
1967
Finite unitary reflection groups. Zbl 0055.14305
Shephard, Geoffrey C.; Todd, J. A.
597
1954
Tilings and patterns. Zbl 0601.05001
Grünbaum, Branko; Shephard, G. C.
428
1987
Convex polytopes and the upper bound conjecture. Zbl 0217.46702
McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A.
146
1971
The difference body of a convex body. Zbl 0082.15703
Rogers, C. A.; Shephard, Geoffrey C.
121
1957
Convex bodies associated with a given convex body. Zbl 0083.38402
Rogers, C. A.; Shephard, Geoffrey C.
65
1958
Combinatorial properties of associated zonotopes. Zbl 0287.52005
Shephard, Geoffrey C.
62
1974
Shadow systems of convex sets. Zbl 0132.17304
Shephard, Geoffrey C.
59
1964
Some extremal problems for convex bodies. Zbl 0092.15301
Rogers, C. A.; Shephard, Geoffrey C.
46
1958
Decomposable convex polyhedra. Zbl 0121.39002
Shephard, Geoffrey C.
44
1963
Tilings and patterns. An introduction. Zbl 0746.52001
Grünbaum, Branko; Shephard, Geoffrey Colin
39
1989
Aperiodic tiles. Zbl 0758.52013
Ammann, Robert; Grünbaum, Branko; Shephard, G. C.
33
1992
Unitary groups generated by reflections. Zbl 0052.16403
Shephard, Geoffrey C.
33
1953
Convex polytopes. Zbl 0183.26901
Grünbaum, Branko; Shephard, Geoffrey C.
32
1969
Metrics for sets of convex bodies. Zbl 0144.21303
Shephard, Geoffrey C.; Webster, R. J.
27
1965
Satins and twills: An introduction to the geometry of fabrics. Zbl 0462.05025
Grünbaum, Branko; Shephard, Geoffrey C.
26
1980
Regular complex polytopes. Zbl 0047.14106
Shephard, Geoffrey C.
26
1952
The Steiner point of a convex polytope. Zbl 0145.42801
Shephard, Geoffrey C.
24
1966
Tilings by regular polygons. Zbl 0385.51006
Grünbaum, Branko; Shephard, Geoffrey C.
22
1977
The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054
Grünbaum, Branko; Shephard, Geoffrey C.
22
1977
Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026
Grünbaum, Branko; Shephard, Geoffrey C.
21
1982
Facets and nonfacets of convex polytopes. Zbl 0161.19301
Perles, M. A.; Shephard, Geoffrey C.
21
1967
Diagrams for centrally symmetric polytopes. Zbl 0167.50902
McMullen, P.; Shephard, Geoffrey C.
20
1968
Convex bodies and convexity on Grassmann cones. I-IV. Zbl 0112.37301
Busemann, H.; Ewald, G.; Shephard, Geoffrey C.
20
1963
Tilings with congruent tiles. Zbl 0463.51019
Grünbaum, Branko; Shephard, Geoffrey C.
19
1980
Spherical complexes and radial projections of polytopes. Zbl 0207.52202
Shephard, Geoffrey C.
19
1971
Angle sums of convex polytopes. Zbl 0172.23703
Perles, M. A.; Shephard, Geoffrey C.
17
1967
Pick’s theorem. Zbl 0776.52005
Grünbaum, Branko; Shephard, G. C.
16
1993
Diagrams for positive bases. Zbl 0225.15004
Shephard, Geoffrey C.
16
1971
Convex polytopes with convex nets. Zbl 0312.52011
Shephard, Geoffrey C.
16
1975
A uniqueness theorem for the Steiner point of a convex region. Zbl 0162.25801
Shephard, Geoffrey C.
16
1968
Inequalities between mixed volumes of convex sets. Zbl 0108.35203
Shephard, Geoffrey C.
15
1960
Stellar subdivisions of boundary complexes of convex polytopes. Zbl 0272.52001
Ewald, G.; Shephard, Geoffrey C.
15
1974
Edge-transitive planar graphs. Zbl 0643.05038
Grünbaum, Branko; Shephard, G. C.
14
1987
Is selfduality involutory? Zbl 0658.52004
Grünbaum, Branko; Shephard, G. C.
14
1988
Sections and projections of convex polytopes. Zbl 0258.52006
Shephard, Geoffrey C.
14
1972
Regular 3-complexes with toroidal cells. Zbl 0305.05103
Coxeter, H. S. M.; Shephard, Geoffrey C.
14
1977
Normed vector spaces consisting of classes of convex sets. Zbl 0141.39003
Ewald, G.; Shephard, Geoffrey C.
14
1966
Euler-type relations for convex polytopes. Zbl 0159.51703
Shephard, Geoffrey C.
14
1968
Approximation problems for convex polyhedra. Zbl 0124.37801
Shephard, Geoffrey C.
14
1964
Some problems on polyhedra. Zbl 0618.52004
Grünbaum, Branko; Shephard, Geoffrey C.
12
1987
Space-filling zonotopes. Zbl 0296.52004
Shephard, Geoffrey C.
12
1975
Polyhedra with transitivity properties. Zbl 0528.52009
Grünbaum, Branko; Shephard, Geoffrey C.
11
1984
The geometry of planar graphs. Zbl 0462.05029
Grünbaum, Branko; Shephard, Geoffrey C.
11
1981
Monotypic polytopes and their intersection properties. Zbl 0283.52008
McMullen, P.; Schneider, R.; Shephard, Geoffrey C.
11
1974
Self-duality groups and ranks of self-dualities. Zbl 0752.52003
Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter
10
1991
Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012
Grünbaum, Branko; Shephard, G. C.
10
1990
A theorem on cyclic polytopes. Zbl 0174.25403
Shephard, Geoffrey C.
10
1969
Angle deficiencies of convex polytopes. Zbl 0159.51801
Shephard, Geoffrey C.
10
1968
Polytopes with centrally symmetric faces. Zbl 0171.43101
Shephard, Geoffrey C.
10
1967
Isotoxal tilings. Zbl 0393.51010
Grünbaum, Branko; Shephard, Geoffrey C.
9
1978
Subpolytopes of stack polytopes. Zbl 0305.52010
Shephard, Geoffrey C.
9
1974
An elementary proof of Gram’s theorem for convex polytopes. Zbl 0157.52504
Shephard, Geoffrey C.
9
1967
An extension to the catalogue of isonemal fabrics. Zbl 0598.52011
Grünbaum, Branko; Shephard, Geoffrey C.
8
1986
Incidence symbols and their applications. Zbl 0408.05021
Grünbaum, Branko; Shephard, Geoffrey C.
7
1979
A hierarchy of classification methods for patterns. Zbl 0565.05018
Grünbaum, Branko; Shephard, Geoffrey C.
7
1981
Simplicial arrangements in projective 3-space. Zbl 0558.51001
Grünbaum, Branko; Shephard, Geoffrey C.
7
1984
A construction for projectively unique polytopes. Zbl 0299.52004
Perles, M. A.; Shephard, Geoffrey C.
7
1974
Ceva, Menelaus, and the area principle. Zbl 0869.51007
Grünbaum, Branko; Shephard, G. C.
7
1995
Isonemal fabrics. Zbl 0645.51020
Grünbaum, Branko; Shephard, G. C.
6
1988
Spherical tilings with transitivity properties. Zbl 0501.51012
Grünbaum, Branko; Shephard, Geoffrey C.
6
1982
The ninety-one types of isogonal tilings in the plane. Zbl 0386.51014
Grünbaum, Branko; Shephard, Geoffrey C.
6
1978
Isohedral tilings of the plane by polygons. Zbl 0392.05020
Grünbaum, Branko; Shephard, Geoffrey C.
6
1978
A catalogue of isonemal fabrics. Zbl 0569.51007
Grünbaum, Branko; Shephard, Geoffrey C.
6
1985
Abstract definitions for reflection groups. Zbl 0077.25102
Shephard, Geoffrey C.
6
1957
Convex bodies and convexity on Grassmann cones. Zbl 0125.11202
Busemann, H.; Ewald, G.; Shephard, Geoffrey C.
6
1962
A pre-Hilbert space consisting of classes of convex sets. Zbl 0146.18203
Shephard, Geoffrey C.
6
1966
Twenty problems on convex polyhedra. II. Zbl 0167.20303
Shephard, G. C.
6
1968
Tilings, patterns, fabrics and related topics in discrete geometry. Zbl 0512.52008
Grünbaum, Branko; Shephard, Geoffrey C.
5
1983
Ceva, Menelaus, and selftransversality. Zbl 0883.52005
Grünbaum, Branko; Shephard, G. C.
5
1997
Does every type of polyhedron tile three-space? Zbl 0539.52017
Danzer, Ludwig; Grünbaum, Branko; Shephard, Geoffrey C.
5
1983
Tiling three-dimensional space with polyhedral tiles of a given isomorphism type. Zbl 0533.52006
Grünbaum, Branko; Mani-Levitska, Peter; Shephard, Geoffrey C.
5
1984
Vector spaces of finite dimensions. Zbl 0158.27902
Shephard, Geoffrey C.
5
1966
Twenty problems on convex polyhedra. I. Zbl 0161.41604
Shephard, Geoffrey C.
5
1968
The centre of a finitely generated group. Zbl 0236.20029
Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C.
5
1972
Perfect colorings of transitive tilings and patterns in the plane. Zbl 0377.05014
Grünbaum, Branko; Shephard, Geoffrey C.
4
1978
Erratum to “The centre of a finitely generated group”. Zbl 0257.20029
Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C.
4
1972
Approximations by polytopes with projectively regular facets. Zbl 0146.44302
Shephard, Geoffrey C.
4
1966
Interlace patterns in Islamic and Moorish art.
Leonardo 25, No. 3-4 (Spec. Issue).
 Zbl 0804.52012
Grünbaum, Branko; Shephard, G. C.
4
1992
Some problems on finite reflection groups. Zbl 0071.36405
Shephard, Geoffrey C.
4
1956
Polytopes with an axis of symmetry. Zbl 0195.24201
McMullen, P.; Shephard, Geoffrey C.
4
1970
Some new transversality properties. Zbl 0912.51006
Grünbaum, Branko; Shephard, G. C.
4
1998
Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010
Grünbaum, Branko; Shephard, G. C.
3
1991
The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004
Grünbaum, Branko; Shephard, Geoffrey C.
3
1982
A new look at Euler’s theorem for polyhedra. Zbl 0807.52010
Grünbaum, Branko; Shephard, G. C.
3
1994
The 2-homeotoxal tilings of the plane and the 2-sphere. Zbl 0491.05022
Grünbaum, Branko; Shephard, Geoffrey C.
3
1983
Isohedra with nonconvex faces. Zbl 0938.51016
Grünbaum, Branko; Shephard, G. C.
3
1998
Determination of all tessellation polyhedra with regular polygonal faces. Zbl 1349.52010
Akiyama, Jin; Kuwata, Takayasu; Langerman, Stefan; Okawa, Kenji; Sato, Ikuro; Shephard, Geoffrey C.
3
2011
Reducible convex sets. Zbl 0146.44301
Shephard, Geoffrey C.
3
1966
Convexity on nonconvex sets. Zbl 0152.39404
Busemann, H.; Shephard, Geoffrey C.
3
1967
Symmetry groups of knots. Zbl 0585.51012
Grünbaum, Branko; Shephard, Geoffrey C.
3
1985
Convex bodies and convexity on Grassmann cones. IV: The projection functions of a simplex. Zbl 0123.15601
Shephard, G. C.
3
1964
Convex bodies and convexity on Grassmann cones. VIII: Projection functions of vector sums of convex sets. Zbl 0125.11203
Shephard, Geoffrey C.
3
1964
Convex bodies and convexity on Grassmann cones. X: Projection functions of parallel convex bodies. Zbl 0141.19901
Busemann, H.; Shephard, Geoffrey C.
3
1965
Rigid plate frameworks. (Les charpentes de plaques rigides). Zbl 0645.51021
Grünbaum, Branko; Shephard, G. C.
2
1988
Additive frieze patterns and multiplication tables. Zbl 0344.05008
Shephard, Geoffrey C.
2
1976
A new Ceva-type theorem. Zbl 0882.51012
Grünbaum, Branko; Shephard, G. C.
2
1996
The homeomeric classification of patterns. Zbl 0389.51010
Grünbaum, Branko; Shephard, Geoffrey C.
2
1979
The enumeration of stack polytopes and simplicial clusters. Zbl 0503.52006
Hering, F.; Read, R. C.; Shephard, Geoffrey C.
2
1982
Patterns on the 2-sphere. Zbl 0449.05010
Grünbaum, Branko; Shephard, Geoffrey C.
2
1981
Determination of all tessellation polyhedra with regular polygonal faces. Zbl 1349.52010
Akiyama, Jin; Kuwata, Takayasu; Langerman, Stefan; Okawa, Kenji; Sato, Ikuro; Shephard, Geoffrey C.
3
2011
Another generalisation of Napoleon’s theorem. Zbl 1187.51014
Shephard, G. C.
1
2009
Equifacetted 4-polytopes. Zbl 1160.52008
Shephard, G. C.
1
2008
Sequences of smoothed polygons. Zbl 1051.52002
Shephard, G. C.
2
2003
Finite edge-to-edge tilings by convex polygons. Zbl 1037.52013
Blind, Roswitha; Shephard, G. C.
1
2001
Isohedral deltahedra. Zbl 0996.52010
Shephard, G. C.
2
1999
Cyclic sums for polygons. Zbl 1010.51012
Shephard, G. C.
1
1999
Isomorphism invariants for projective configurations. Zbl 0961.51017
Shephard, G. C.
1
1999
Some new transversality properties. Zbl 0912.51006
Grünbaum, Branko; Shephard, G. C.
4
1998
Isohedra with nonconvex faces. Zbl 0938.51016
Grünbaum, Branko; Shephard, G. C.
3
1998
Ceva, Menelaus, and selftransversality. Zbl 0883.52005
Grünbaum, Branko; Shephard, G. C.
5
1997
A new Ceva-type theorem. Zbl 0882.51012
Grünbaum, Branko; Shephard, G. C.
2
1996
Ceva, Menelaus, and the area principle. Zbl 0869.51007
Grünbaum, Branko; Shephard, G. C.
7
1995
The perpendicular bisector construction. Zbl 0843.51022
Shephard, G. C.
1
1995
A new look at Euler’s theorem for polyhedra. Zbl 0807.52010
Grünbaum, Branko; Shephard, G. C.
3
1994
Pick’s theorem. Zbl 0776.52005
Grünbaum, Branko; Shephard, G. C.
16
1993
Aperiodic tiles. Zbl 0758.52013
Ammann, Robert; Grünbaum, Branko; Shephard, G. C.
33
1992
Interlace patterns in Islamic and Moorish art.
Leonardo 25, No. 3-4 (Spec. Issue).
 Zbl 0804.52012
Grünbaum, Branko; Shephard, G. C.
4
1992
Portraits of a family of complex polytopes.
Leonardo 25, No. 3-4 (Spec. Issue).
 Zbl 0803.51023
Coxeter, H. S. M.; Shephard, G. C.
1
1992
Self-duality groups and ranks of self-dualities. Zbl 0752.52003
Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter
10
1991
Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010
Grünbaum, Branko; Shephard, G. C.
3
1991
Some regular maps and their polyhedral realizations. Zbl 0736.05045
Coxeter, H. S. M.; Shephard, G. C.
1
1991
Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012
Grünbaum, Branko; Shephard, G. C.
10
1990
Tilings and patterns. An introduction. Zbl 0746.52001
Grünbaum, Branko; Shephard, Geoffrey Colin
39
1989
Is selfduality involutory? Zbl 0658.52004
Grünbaum, Branko; Shephard, G. C.
14
1988
Isonemal fabrics. Zbl 0645.51020
Grünbaum, Branko; Shephard, G. C.
6
1988
Rigid plate frameworks. (Les charpentes de plaques rigides). Zbl 0645.51021
Grünbaum, Branko; Shephard, G. C.
2
1988
Tilings and patterns. Zbl 0601.05001
Grünbaum, Branko; Shephard, G. C.
428
1987
Edge-transitive planar graphs. Zbl 0643.05038
Grünbaum, Branko; Shephard, G. C.
14
1987
Some problems on polyhedra. Zbl 0618.52004
Grünbaum, Branko; Shephard, Geoffrey C.
12
1987
Equitransitive tilings, or how to discover new mathematics. Zbl 0618.52011
Danzer, Ludwig; Grünbaum, Branko; Shephard, G. C.
1
1987
A dual of Descartes’ theorem on polyhedra. Zbl 0631.52007
Grünbaum, Branko; Shephard, G. C.
1
1987
An extension to the catalogue of isonemal fabrics. Zbl 0598.52011
Grünbaum, Branko; Shephard, Geoffrey C.
8
1986
A catalogue of isonemal fabrics. Zbl 0569.51007
Grünbaum, Branko; Shephard, Geoffrey C.
6
1985
Symmetry groups of knots. Zbl 0585.51012
Grünbaum, Branko; Shephard, Geoffrey C.
3
1985
The enumeration of normal 2-homeohedral tilings. Zbl 0572.52024
Grünbaum, Branko; Löckenhoff, H.-D.; Shephard, Geoffrey C.; Temesvári, Á. H.
2
1985
Polyhedra with transitivity properties. Zbl 0528.52009
Grünbaum, Branko; Shephard, Geoffrey C.
11
1984
Simplicial arrangements in projective 3-space. Zbl 0558.51001
Grünbaum, Branko; Shephard, Geoffrey C.
7
1984
Tiling three-dimensional space with polyhedral tiles of a given isomorphism type. Zbl 0533.52006
Grünbaum, Branko; Mani-Levitska, Peter; Shephard, Geoffrey C.
5
1984
The geometry of fabrics. Zbl 0559.05016
Grünbaum, Branko; Shephard, Geoffrey C.
1
1984
Tilings, patterns, fabrics and related topics in discrete geometry. Zbl 0512.52008
Grünbaum, Branko; Shephard, Geoffrey C.
5
1983
Does every type of polyhedron tile three-space? Zbl 0539.52017
Danzer, Ludwig; Grünbaum, Branko; Shephard, Geoffrey C.
5
1983
The 2-homeotoxal tilings of the plane and the 2-sphere. Zbl 0491.05022
Grünbaum, Branko; Shephard, Geoffrey C.
3
1983
Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026
Grünbaum, Branko; Shephard, Geoffrey C.
21
1982
Spherical tilings with transitivity properties. Zbl 0501.51012
Grünbaum, Branko; Shephard, Geoffrey C.
6
1982
The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004
Grünbaum, Branko; Shephard, Geoffrey C.
3
1982
The enumeration of stack polytopes and simplicial clusters. Zbl 0503.52006
Hering, F.; Read, R. C.; Shephard, Geoffrey C.
2
1982
Uniform tilings with hollow tiles. Zbl 0501.51011
Grünbaum, Branko; Miller, J. C. P.; Shephard, Geoffrey C.
1
1982
The geometry of planar graphs. Zbl 0462.05029
Grünbaum, Branko; Shephard, Geoffrey C.
11
1981
A hierarchy of classification methods for patterns. Zbl 0565.05018
Grünbaum, Branko; Shephard, Geoffrey C.
7
1981
Patterns on the 2-sphere. Zbl 0449.05010
Grünbaum, Branko; Shephard, Geoffrey C.
2
1981
Some remarks on Fedotov’s paper on discrete chronogeometry. Zbl 0477.05026
Grünbaum, Branko; Shephard, Geoffrey C.
1
1981
Satins and twills: An introduction to the geometry of fabrics. Zbl 0462.05025
Grünbaum, Branko; Shephard, Geoffrey C.
26
1980
Tilings with congruent tiles. Zbl 0463.51019
Grünbaum, Branko; Shephard, Geoffrey C.
19
1980
Incidence symbols and their applications. Zbl 0408.05021
Grünbaum, Branko; Shephard, Geoffrey C.
7
1979
The homeomeric classification of patterns. Zbl 0389.51010
Grünbaum, Branko; Shephard, Geoffrey C.
2
1979
Isotoxal tilings. Zbl 0393.51010
Grünbaum, Branko; Shephard, Geoffrey C.
9
1978
The ninety-one types of isogonal tilings in the plane. Zbl 0386.51014
Grünbaum, Branko; Shephard, Geoffrey C.
6
1978
Isohedral tilings of the plane by polygons. Zbl 0392.05020
Grünbaum, Branko; Shephard, Geoffrey C.
6
1978
Perfect colorings of transitive tilings and patterns in the plane. Zbl 0377.05014
Grünbaum, Branko; Shephard, Geoffrey C.
4
1978
Tilings by regular polygons. Zbl 0385.51006
Grünbaum, Branko; Shephard, Geoffrey C.
22
1977
The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054
Grünbaum, Branko; Shephard, Geoffrey C.
22
1977
Regular 3-complexes with toroidal cells. Zbl 0305.05103
Coxeter, H. S. M.; Shephard, Geoffrey C.
14
1977
Additive frieze patterns and multiplication tables. Zbl 0344.05008
Shephard, Geoffrey C.
2
1976
Convex polytopes with convex nets. Zbl 0312.52011
Shephard, Geoffrey C.
16
1975
Space-filling zonotopes. Zbl 0296.52004
Shephard, Geoffrey C.
12
1975
Combinatorial properties of associated zonotopes. Zbl 0287.52005
Shephard, Geoffrey C.
62
1974
Stellar subdivisions of boundary complexes of convex polytopes. Zbl 0272.52001
Ewald, G.; Shephard, Geoffrey C.
15
1974
Monotypic polytopes and their intersection properties. Zbl 0283.52008
McMullen, P.; Schneider, R.; Shephard, Geoffrey C.
11
1974
Subpolytopes of stack polytopes. Zbl 0305.52010
Shephard, Geoffrey C.
9
1974
A construction for projectively unique polytopes. Zbl 0299.52004
Perles, M. A.; Shephard, Geoffrey C.
7
1974
Sections and projections of convex polytopes. Zbl 0258.52006
Shephard, Geoffrey C.
14
1972
The centre of a finitely generated group. Zbl 0236.20029
Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C.
5
1972
Erratum to “The centre of a finitely generated group”. Zbl 0257.20029
Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C.
4
1972
Convex polytopes and the upper bound conjecture. Zbl 0217.46702
McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A.
146
1971
Spherical complexes and radial projections of polytopes. Zbl 0207.52202
Shephard, Geoffrey C.
19
1971
Diagrams for positive bases. Zbl 0225.15004
Shephard, Geoffrey C.
16
1971
Polytopes with an axis of symmetry. Zbl 0195.24201
McMullen, P.; Shephard, Geoffrey C.
4
1970
Dense sequences of convex polytopes. Zbl 0199.57003
Perles, M. A.; Shephard, Geoffrey C.
1
1970
Convex polytopes. Zbl 0183.26901
Grünbaum, Branko; Shephard, Geoffrey C.
32
1969
A theorem on cyclic polytopes. Zbl 0174.25403
Shephard, Geoffrey C.
10
1969
Neighbourliness and Radon’s theorem. Zbl 0185.25801
Shephard, Geoffrey C.
2
1969
Diagrams for centrally symmetric polytopes. Zbl 0167.50902
McMullen, P.; Shephard, Geoffrey C.
20
1968
A uniqueness theorem for the Steiner point of a convex region. Zbl 0162.25801
Shephard, Geoffrey C.
16
1968
Euler-type relations for convex polytopes. Zbl 0159.51703
Shephard, Geoffrey C.
14
1968
Angle deficiencies of convex polytopes. Zbl 0159.51801
Shephard, Geoffrey C.
10
1968
Twenty problems on convex polyhedra. II. Zbl 0167.20303
Shephard, G. C.
6
1968
Twenty problems on convex polyhedra. I. Zbl 0161.41604
Shephard, Geoffrey C.
5
1968
The mean width of a convex polytope. Zbl 0159.51704
Shephard, Geoffrey C.
2
1968
Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603
Grünbaum, Branko
708
1967
Facets and nonfacets of convex polytopes. Zbl 0161.19301
Perles, M. A.; Shephard, Geoffrey C.
21
1967
Angle sums of convex polytopes. Zbl 0172.23703
Perles, M. A.; Shephard, Geoffrey C.
17
1967
Polytopes with centrally symmetric faces. Zbl 0171.43101
Shephard, Geoffrey C.
10
1967
An elementary proof of Gram’s theorem for convex polytopes. Zbl 0157.52504
Shephard, Geoffrey C.
9
1967
Convexity on nonconvex sets. Zbl 0152.39404
Busemann, H.; Shephard, Geoffrey C.
3
1967
The Steiner point of a convex polytope. Zbl 0145.42801
Shephard, Geoffrey C.
24
1966
Normed vector spaces consisting of classes of convex sets. Zbl 0141.39003
Ewald, G.; Shephard, Geoffrey C.
14
1966
A pre-Hilbert space consisting of classes of convex sets. Zbl 0146.18203
Shephard, Geoffrey C.
6
1966
Vector spaces of finite dimensions. Zbl 0158.27902
Shephard, Geoffrey C.
5
1966
Approximations by polytopes with projectively regular facets. Zbl 0146.44302
Shephard, Geoffrey C.
4
1966
...and 19 more Documents
all top 5

Cited by 2,291 Authors

29 Shephard, Geoffrey Colin
28 McMullen, Peter
21 Grünbaum, Branko
21 Schulte, Egon
20 Schneider, Rolf G.
13 Jendrol’, Stanislav
11 Alonso-Gutiérrez, David
11 Kirkman, Ellen E.
11 Martini, Horst
11 Röhrle, Gerhard
11 Solomon, Louis
10 Bezdek, Károly
10 Ewald, Günter
10 Paouris, Grigoris
10 Reiner, Victor
9 Frettlöh, Dirk
9 Gronchi, Paolo
9 Gruber, Peter Manfred
9 Kleinschmidt, Peter
9 Lángi, Zsolt
9 Richter, Christian
8 Blind, Gerd
8 Blind, Roswitha
8 Campi, Stefano
8 Lewis, Joel Brewster
8 Schymura, Matthias
8 Senechal, Marjorie Wikler
8 Urbański, Ryszard
8 Ziegler, Günter Matthias
7 Bárány, Imre
7 Bellamy, Gwyn
7 Chavli, Eirini
7 Gómez, Eugenia Saorín
7 Grzybowski, Jerzy
7 Henk, Martin
7 Hoge, Torsten
7 Kalai, Gil
7 Maity, Dipendu
7 Malle, Gunter
7 Martone, Mario
7 Orlik, Peter
7 Pachner, Udo
7 Shepler, Anne V.
7 Stanley, Richard Peter
7 Watkins, Mark E.
7 Weiss, Asia Ivić
7 Yost, David T.
6 Akiyama, Shigeki
6 Bisztriczky, Tibor
6 Bokowski, Jürgen G.
6 Bonnafé, Cédric
6 Böröczky, Karoly jun.
6 Douvropoulos, Theo
6 González Merino, Bernardo
6 Gritzmann, Peter
6 Kabluchko, Zakhar A.
6 Kühnel, Wolfgang
6 Labbé, Sébastien
6 Lee, Carl W.
6 Mann, Casey E.
6 Ouyang, Peichang
6 Padrol, Arnau
6 Pineda-Villavicencio, Guillermo
6 Radin, Charles
6 Santos, Francisco
6 Sturmfels, Bernd
6 Sugimoto, Teruhisa
6 Thomas, Robert S. D.
6 Vince, Andrew
6 Wetzel, John E.
6 Zaks, Joseph
6 Zvavitch, Artem
5 Adiprasito, Karim Alexander
5 Baake, Michael
5 Bannai, Eiichi
5 Caselli, Fabrizio
5 Cromwell, Peter R.
5 de las Penas, Ma. Louise Antonette N.
5 Demaine, Erik D.
5 Deraux, Martin
5 Durand, Bruno
5 Fernique, Thomas
5 Gaddis, Jason
5 Gelbrich, Götz
5 Heckman, Gert
5 Hu, Wen-Guei
5 Huck, Christian
5 Ingalls, Colin
5 Kaiser, Mark J.
5 Kari, Jarkko
5 Klaaßen, Bernhard
5 Klartag, Bo’az
5 Kołodziejczyk, Krzysztof
5 Kuzmanovich, James J.
5 Leng, Gangsong
5 Lin, Song-Sun
5 Loridant, Benoit
5 Molter, Ursula Maria
5 Novik, Isabella
5 Perles, Micha A.
...and 2,191 more Authors
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Cited in 394 Serials

110 Discrete & Computational Geometry
106 Discrete Mathematics
67 Journal of Algebra
57 Israel Journal of Mathematics
56 Advances in Mathematics
50 Transactions of the American Mathematical Society
43 Geometriae Dedicata
42 Journal of Combinatorial Theory. Series A
42 Mathematika
38 European Journal of Combinatorics
32 Proceedings of the American Mathematical Society
30 Mathematische Annalen
29 Mathematische Zeitschrift
28 Theoretical Computer Science
27 Archiv der Mathematik
26 Monatshefte für Mathematik
24 Journal of Pure and Applied Algebra
22 Inventiones Mathematicae
20 The Mathematical Intelligencer
18 Communications in Algebra
18 Linear Algebra and its Applications
17 Journal of Mathematical Analysis and Applications
17 Journal of Functional Analysis
17 Computational Geometry
16 Discrete Applied Mathematics
16 Results in Mathematics
15 Journal of Geometry
15 Journal of Algebraic Combinatorics
15 The Electronic Journal of Combinatorics
14 Advances in Applied Mathematics
13 Beiträge zur Algebra und Geometrie
13 Journal of Combinatorial Theory. Series B
13 Journal of High Energy Physics
12 Communications in Mathematical Physics
12 Séminaire Lotharingien de Combinatoire
12 Algebras and Representation Theory
11 Journal of Statistical Physics
11 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
11 The Journal of Geometric Analysis
11 Journal of Mathematics and the Arts
10 Manuscripta Mathematica
10 Aequationes Mathematicae
10 Indagationes Mathematicae. New Series
10 Experimental Mathematics
10 Transformation Groups
10 Journal of Physics A: Mathematical and Theoretical
9 American Mathematical Monthly
9 Mathematical Notes
9 Topology and its Applications
9 Bulletin of the American Mathematical Society. New Series
9 Expositiones Mathematicae
9 Proceedings of the Steklov Institute of Mathematics
9 Algebraic Combinatorics
8 Computers & Mathematics with Applications
8 Journal of Mathematical Physics
8 Proceedings of the London Mathematical Society. Third Series
8 Graphs and Combinatorics
8 SIAM Journal on Discrete Mathematics
8 Nexus Network Journal
7 Information Processing Letters
7 Duke Mathematical Journal
7 Nagoya Mathematical Journal
7 St. Petersburg Mathematical Journal
7 Selecta Mathematica. New Series
7 Communications in Contemporary Mathematics
6 Mathematics of Computation
6 Journal of Soviet Mathematics
6 Mathematische Nachrichten
6 Combinatorica
6 Acta Mathematica Hungarica
6 Ars Mathematica Contemporanea
5 Bulletin of the Australian Mathematical Society
5 Linear and Multilinear Algebra
5 Periodica Mathematica Hungarica
5 Mathematics Magazine
5 Canadian Journal of Mathematics
5 Compositio Mathematica
5 Functional Analysis and its Applications
5 Journal of the London Mathematical Society. Second Series
5 Proceedings of the Japan Academy. Series A
5 Siberian Mathematical Journal
5 Journal of the American Mathematical Society
5 Elemente der Mathematik
5 Pattern Recognition
5 Journal of Mathematical Sciences (New York)
5 Geometry & Topology
5 Annals of Combinatorics
5 Forma
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Oberwolfach Reports
4 Archive for Rational Mechanics and Analysis
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Physica A
4 Chaos, Solitons and Fractals
4 Annales de l’Institut Fourier
4 Bulletin of the London Mathematical Society
4 Glasgow Mathematical Journal
4 Journal of Approximation Theory
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Rendiconti del Circolo Matemàtico di Palermo. Serie II
...and 294 more Serials
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Cited in 58 Fields

992 Convex and discrete geometry (52-XX)
497 Combinatorics (05-XX)
417 Group theory and generalizations (20-XX)
212 Geometry (51-XX)
183 Algebraic geometry (14-XX)
143 Computer science (68-XX)
105 Number theory (11-XX)
101 Commutative algebra (13-XX)
93 Manifolds and cell complexes (57-XX)
75 Associative rings and algebras (16-XX)
72 Several complex variables and analytic spaces (32-XX)
68 Dynamical systems and ergodic theory (37-XX)
63 Probability theory and stochastic processes (60-XX)
50 Differential geometry (53-XX)
50 Statistical mechanics, structure of matter (82-XX)
50 Operations research, mathematical programming (90-XX)
46 Functional analysis (46-XX)
41 Nonassociative rings and algebras (17-XX)
39 Linear and multilinear algebra; matrix theory (15-XX)
38 Measure and integration (28-XX)
38 Quantum theory (81-XX)
37 Order, lattices, ordered algebraic structures (06-XX)
37 Real functions (26-XX)
33 Algebraic topology (55-XX)
31 General and overarching topics; collections (00-XX)
31 Topological groups, Lie groups (22-XX)
31 Information and communication theory, circuits (94-XX)
29 Numerical analysis (65-XX)
20 Calculus of variations and optimal control; optimization (49-XX)
19 History and biography (01-XX)
18 Mathematical logic and foundations (03-XX)
18 Approximations and expansions (41-XX)
18 Operator theory (47-XX)
17 Special functions (33-XX)
15 Biology and other natural sciences (92-XX)
14 General topology (54-XX)
14 Mechanics of deformable solids (74-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Global analysis, analysis on manifolds (58-XX)
12 Ordinary differential equations (34-XX)
12 Partial differential equations (35-XX)
12 Statistics (62-XX)
11 Field theory and polynomials (12-XX)
11 Functions of a complex variable (30-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Category theory; homological algebra (18-XX)
9 Difference and functional equations (39-XX)
8 Abstract harmonic analysis (43-XX)
7 \(K\)-theory (19-XX)
7 Mechanics of particles and systems (70-XX)
6 Systems theory; control (93-XX)
5 Relativity and gravitational theory (83-XX)
3 Potential theory (31-XX)
3 Integral transforms, operational calculus (44-XX)
2 Optics, electromagnetic theory (78-XX)
2 Mathematics education (97-XX)
1 General algebraic systems (08-XX)
1 Fluid mechanics (76-XX)

Citations by Year

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