Edit Profile (opens in new tab) Shephard, Geoffrey Colin Co-Author Distance Author ID: shephard.geoffrey-colin Published as: Shephard, Geoffrey C.; Shephard, G. C.; Shephard, Geoffrey Colin more...less External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 152 Publications since 1952, including 5 Books 3 Further Contributions Co-Authors: 29 Co-Authors with 94 Joint Publications 631 Co-Co-Authors all top 5 Co-Authors 60 single-authored 66 Grünbaum, Branko 7 Coxeter, Harold Scott MacDonald 5 Perles, Micha A. 4 Busemann, Herbert 4 Ewald, Günter 4 McMullen, Peter 3 Danzer, Ludwig 3 Rogers, Claude Ambrose 2 Conway, John Horton 2 Emmer, Michele 2 Schattschneider, Doris J. 2 Senechal, Marjorie Wikler 1 Akiyama, Jin 1 Ammann, Robert 1 Ashley, Jonathan J. 1 Ball, Alan A. 1 Blind, Roswitha 1 Dress, Andreas W. M. 1 Engel, Peter 1 Ernst, Bruno 1 Escher, G. A. 1 Gregory, Richard L. 1 Hering, Franz 1 Husimi, Kodi 1 Klee, Victor LaRue 1 Kömhoff, Magelone 1 Kuwata, Takayasu 1 Lalvani, Haresh 1 Langerman, Stefan 1 Löckenhoff, H.-D. 1 Loeb, Arthur L. 1 Macgillavry, Caroline H. 1 Mani-Levitska, Peter 1 Miller, Jeffrey Charles Percy 1 Okawa, Kenji 1 Pedersen, Jean J. 1 Penrose, Roger 1 Read, Ronald C. 1 Reeve, John-E. 1 Rigby, John F. 1 Sato, Ikuro 1 Schneider, Rolf G. 1 Stromquist, Walter R. 1 Temesvári, Ágota H. 1 Teuber, M. L. 1 Todd, John Arthur all top 5 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 all top 5 Fields 67 Convex and discrete geometry (52-XX) 58 Geometry (51-XX) 39 Combinatorics (05-XX) 7 Group theory and generalizations (20-XX) 5 Number theory (11-XX) 5 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 2,421 times in 1,996 Documents Cited by ▼ Year ▼ Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603 Grünbaum, Branko 617 1967 Finite unitary reflection groups. Zbl 0055.14305 Shephard, Geoffrey C.; Todd, J. A. 582 1954 Tilings and patterns. Zbl 0601.05001 Grünbaum, Branko; Shephard, G. C. 387 1987 Convex polytopes and the upper bound conjecture. Zbl 0217.46702 McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A. 138 1971 The difference body of a convex body. Zbl 0082.15703 Rogers, C. A.; Shephard, Geoffrey C. 118 1957 Convex bodies associated with a given convex body. Zbl 0083.38402 Rogers, C. A.; Shephard, Geoffrey C. 64 1958 Combinatorial properties of associated zonotopes. Zbl 0287.52005 Shephard, Geoffrey C. 60 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 Aperiodic tiles. Zbl 0758.52013 Ammann, Robert; Grünbaum, Branko; Shephard, G. C. 32 1992 Unitary groups generated by reflections. Zbl 0052.16403 Shephard, Geoffrey C. 32 1953 Convex polytopes. Zbl 0183.26901 Grünbaum, Branko; Shephard, Geoffrey C. 31 1969 Tilings and patterns. An introduction. Zbl 0746.52001 Grünbaum, Branko; Shephard, Geoffrey Colin 30 1989 Metrics for sets of convex bodies. Zbl 0144.21303 Shephard, Geoffrey C.; Webster, R. J. 26 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. 25 1952 The Steiner point of a convex polytope. Zbl 0145.42801 Shephard, Geoffrey C. 24 1966 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 Spherical complexes and radial projections of polytopes. Zbl 0207.52202 Shephard, Geoffrey C. 19 1971 Convex bodies and convexity on Grassmann cones. I-IV. Zbl 0112.37301 Busemann, H.; Ewald, G.; Shephard, Geoffrey C. 19 1963 Diagrams for centrally symmetric polytopes. Zbl 0167.50902 McMullen, P.; Shephard, Geoffrey C. 19 1968 Tilings with congruent tiles. Zbl 0463.51019 Grünbaum, Branko; Shephard, Geoffrey C. 19 1980 Tilings by regular polygons. Zbl 0385.51006 Grünbaum, Branko; Shephard, Geoffrey C. 18 1977 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 A uniqueness theorem for the Steiner point of a convex region. Zbl 0162.25801 Shephard, Geoffrey C. 16 1968 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 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 Inequalities between mixed volumes of convex sets. Zbl 0108.35203 Shephard, Geoffrey C. 14 1960 Approximation problems for convex polyhedra. Zbl 0124.37801 Shephard, Geoffrey C. 14 1964 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 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 Some problems on polyhedra. Zbl 0618.52004 Grünbaum, Branko; Shephard, Geoffrey C. 12 1987 Polyhedra with transitivity properties. Zbl 0528.52009 Grünbaum, Branko; Shephard, Geoffrey C. 11 1984 Monotypic polytopes and their intersection properties. Zbl 0283.52008 McMullen, P.; Schneider, R.; Shephard, Geoffrey C. 11 1974 Space-filling zonotopes. Zbl 0296.52004 Shephard, Geoffrey C. 11 1975 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 A theorem on cyclic polytopes. Zbl 0174.25403 Shephard, Geoffrey C. 10 1969 Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012 Grünbaum, Branko; Shephard, G. C. 10 1990 Self-duality groups and ranks of self-dualities. Zbl 0752.52003 Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter 10 1991 An elementary proof of Gram’s theorem for convex polytopes. Zbl 0157.52504 Shephard, Geoffrey C. 9 1967 Subpolytopes of stack polytopes. Zbl 0305.52010 Shephard, Geoffrey C. 9 1974 An extension to the catalogue of isonemal fabrics. Zbl 0598.52011 Grünbaum, Branko; Shephard, Geoffrey C. 8 1986 Isotoxal tilings. Zbl 0393.51010 Grünbaum, Branko; Shephard, Geoffrey C. 8 1978 A hierarchy of classification methods for patterns. Zbl 0565.05018 Grünbaum, Branko; Shephard, Geoffrey C. 7 1981 A construction for projectively unique polytopes. Zbl 0299.52004 Perles, M. A.; Shephard, Geoffrey C. 7 1974 Isonemal fabrics. Zbl 0645.51020 Grünbaum, Branko; Shephard, G. C. 6 1988 Abstract definitions for reflection groups. Zbl 0077.25102 Shephard, Geoffrey C. 6 1957 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 A catalogue of isonemal fabrics. Zbl 0569.51007 Grünbaum, Branko; Shephard, Geoffrey C. 6 1985 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 Ceva, Menelaus, and the area principle. Zbl 0869.51007 Grünbaum, Branko; Shephard, G. C. 6 1995 Tilings, patterns, fabrics and related topics in discrete geometry. Zbl 0512.52008 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 Does every type of polyhedron tile three-space? Zbl 0539.52017 Danzer, Ludwig; Grünbaum, Branko; Shephard, Geoffrey C. 5 1983 Convex bodies and convexity on Grassmann cones. Zbl 0125.11202 Busemann, H.; Ewald, G.; Shephard, Geoffrey C. 5 1962 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 Spherical tilings with transitivity properties. Zbl 0501.51012 Grünbaum, Branko; Shephard, Geoffrey C. 4 1982 Some new transversality properties. Zbl 0912.51006 Grünbaum, Branko; Shephard, G. C. 4 1998 Some problems on finite reflection groups. Zbl 0071.36405 Shephard, Geoffrey C. 4 1956 Approximations by polytopes with projectively regular facets. Zbl 0146.44302 Shephard, Geoffrey C. 4 1966 Erratum to “The centre of a finitely generated group”. Zbl 0257.20029 Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C. 4 1972 Ceva, Menelaus, and selftransversality. Zbl 0883.52005 Grünbaum, Branko; Shephard, G. C. 4 1997 Perfect colorings of transitive tilings and patterns in the plane. Zbl 0377.05014 Grünbaum, Branko; Shephard, Geoffrey C. 4 1978 The geometry of planar graphs. Zbl 0462.05029 Grünbaum, Branko; Shephard, Geoffrey C. 4 1981 Interlace patterns in Islamic and Moorish art. Leonardo 25, No. 3-4 (Spec. Issue). Zbl 0804.52012 Grünbaum, Branko; Shephard, G. C. 4 1992 Polytopes with an axis of symmetry. Zbl 0195.24201 McMullen, P.; Shephard, Geoffrey C. 4 1970 The 2-homeotoxal tilings of the plane and the 2-sphere. Zbl 0491.05022 Grünbaum, Branko; Shephard, Geoffrey C. 3 1983 The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004 Grünbaum, Branko; Shephard, Geoffrey C. 3 1982 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 Simplicial arrangements in projective 3-space. Zbl 0558.51001 Grünbaum, Branko; Shephard, Geoffrey C. 3 1984 Isohedra with nonconvex faces. Zbl 0938.51016 Grünbaum, Branko; Shephard, G. C. 3 1998 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 Reducible convex sets. Zbl 0146.44301 Shephard, Geoffrey C. 3 1966 Symmetry groups of knots. Zbl 0585.51012 Grünbaum, Branko; Shephard, Geoffrey C. 3 1985 Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010 Grünbaum, Branko; Shephard, G. C. 3 1991 A new look at Euler’s theorem for polyhedra. Zbl 0807.52010 Grünbaum, Branko; Shephard, G. C. 3 1994 Rigid plate frameworks. (Les charpentes de plaques rigides). Zbl 0645.51021 Grünbaum, Branko; Shephard, G. C. 2 1988 Isohedral deltahedra. Zbl 0996.52010 Shephard, G. C. 2 1999 Additive frieze patterns and multiplication tables. Zbl 0344.05008 Shephard, Geoffrey C. 2 1976 Sequences of smoothed polygons. Zbl 1051.52002 Shephard, G. C. 2 2003 Convexity on nonconvex sets. Zbl 0152.39404 Busemann, H.; Shephard, Geoffrey C. 2 1967 The mean width of a convex polytope. Zbl 0159.51704 Shephard, Geoffrey C. 2 1968 Neighbourliness and Radon’s theorem. Zbl 0185.25801 Shephard, Geoffrey C. 2 1969 The enumeration of normal 2-homeohedral tilings. Zbl 0572.52024 Grünbaum, Branko; Löckenhoff, H.-D.; Shephard, Geoffrey C.; Temesvári, Á. H. 2 1985 A new Ceva-type theorem. Zbl 0882.51012 Grünbaum, Branko; Shephard, G. C. 2 1996 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 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 Isomorphism invariants for projective configurations. Zbl 0961.51017 Shephard, G. C. 1 1999 Cyclic sums for polygons. Zbl 1010.51012 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. 4 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. 6 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. 32 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 30 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. 387 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 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 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 Simplicial arrangements in projective 3-space. Zbl 0558.51001 Grünbaum, Branko; Shephard, Geoffrey C. 3 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. 4 1982 The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004 Grünbaum, Branko; Shephard, Geoffrey C. 3 1982 A hierarchy of classification methods for patterns. Zbl 0565.05018 Grünbaum, Branko; Shephard, Geoffrey C. 7 1981 The geometry of planar graphs. Zbl 0462.05029 Grünbaum, Branko; Shephard, Geoffrey C. 4 1981 Patterns on the 2-sphere. Zbl 0449.05010 Grünbaum, Branko; Shephard, Geoffrey C. 1 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. 2 1979 The homeomeric classification of patterns. Zbl 0389.51010 Grünbaum, Branko; Shephard, Geoffrey C. 1 1979 Isotoxal tilings. Zbl 0393.51010 Grünbaum, Branko; Shephard, Geoffrey C. 8 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 The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054 Grünbaum, Branko; Shephard, Geoffrey C. 22 1977 Tilings by regular polygons. Zbl 0385.51006 Grünbaum, Branko; Shephard, Geoffrey C. 18 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. 11 1975 Combinatorial properties of associated zonotopes. Zbl 0287.52005 Shephard, Geoffrey C. 60 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. 138 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. 31 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. 19 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 617 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. 2 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 Approximations by polytopes with projectively regular facets. Zbl 0146.44302 Shephard, Geoffrey C. 4 1966 Reducible convex sets. Zbl 0146.44301 Shephard, Geoffrey C. 3 1966 Vector spaces of finite dimensions. Zbl 0158.27902 Shephard, Geoffrey C. 1 1966 Metrics for sets of convex bodies. Zbl 0144.21303 Shephard, Geoffrey C.; Webster, R. J. 26 1965 Convex bodies and convexity on Grassmann cones. X: Projection functions of parallel convex bodies. Zbl 0141.19901 Busemann, H.; Shephard, Geoffrey C. 3 1965 Shadow systems of convex sets. Zbl 0132.17304 Shephard, Geoffrey C. 59 1964 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,180 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 E. 11 Solomon, Louis 10 Bezdek, Károly 10 Ewald, Günter 10 Paouris, Grigoris 9 Frettlöh, Dirk 9 Gronchi, Paolo 9 Gruber, Peter Manfred 9 Kleinschmidt, Peter 9 Lángi, Zsolt 9 Reiner, Victor 8 Blind, Gerd 8 Blind, Roswitha 8 Campi, Stefano 8 Lewis, Joel Brewster 8 Richter, Christian 8 Schymura, Matthias 8 Senechal, Marjorie Wikler 8 Urbański, Ryszard 7 Bellamy, Gwyn 7 Chavli, Eirini 7 Gómez, Eugenia Saorín 7 Grzybowski, Jerzy 7 Henk, Martin 7 Hoge, Torsten 7 Kalai, Gil 7 Malle, Gunter 7 Martone, Mario 7 Orlik, Peter 7 Pachner, Udo 7 Stanley, Richard Peter 7 Watkins, Mark E. 7 Weiss, Asia Ivić 7 Yost, David T. 7 Ziegler, Günter Matthias 6 Akiyama, Shigeki 6 Bárány, Imre 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 Padrol, Arnau 6 Pineda-Villavicencio, Guillermo 6 Radin, Charles 6 Santos, Francisco 6 Shepler, Anne V. 6 Sturmfels, Bernd 6 Thomas, Robert S. D. 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 Kari, Jarkko 5 Klartag, Bo’az 5 Kuzmanovich, James J. 5 Leng, Gangsong 5 Lin, Song-Sun 5 Maity, Dipendu 5 Ouyang, Peichang 5 Perles, Micha A. 5 Pivovarov, Peter 5 Saroglou, Christos 5 Schulz, Christoph 5 Shi, Jianyi 5 Sloane, Neil James Alexander 5 Sugimoto, Teruhisa 5 Thiel, Ulrich 5 Vitale, Richard A. 5 Voss, Heinz-Jürgen 5 Wills, Jörg M. ...and 2,080 more Authors all top 5 Cited in 376 Serials 101 Discrete Mathematics 101 Discrete & Computational Geometry 67 Journal of Algebra 57 Israel Journal of Mathematics 56 Advances in Mathematics 50 Transactions of the American Mathematical Society 42 Geometriae Dedicata 42 Mathematika 41 Journal of Combinatorial Theory. Series A 35 European Journal of Combinatorics 32 Proceedings of the American Mathematical Society 30 Mathematische Annalen 29 Mathematische Zeitschrift 27 Archiv der Mathematik 26 Monatshefte für Mathematik 25 Theoretical Computer Science 23 Journal of Pure and Applied Algebra 22 Inventiones Mathematicae 20 The Mathematical Intelligencer 18 Communications in Algebra 17 Linear Algebra and its Applications 16 Journal of Mathematical Analysis and Applications 16 Journal of Functional Analysis 16 Results in Mathematics 16 Computational Geometry 14 Discrete Applied Mathematics 14 Journal of Geometry 14 Advances in Applied Mathematics 14 Journal of Algebraic Combinatorics 13 Beiträge zur Algebra und Geometrie 13 The Electronic Journal of Combinatorics 13 Journal of High Energy Physics 12 Communications in Mathematical Physics 12 Séminaire Lotharingien de Combinatoire 12 Algebras and Representation Theory 11 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 11 Journal of Combinatorial Theory. Series B 11 The Journal of Geometric Analysis 10 Manuscripta Mathematica 10 Aequationes Mathematicae 10 Experimental Mathematics 10 Transformation Groups 10 Journal of Mathematics and the Arts 9 Journal of Statistical Physics 9 Mathematical Notes 9 Bulletin of the American Mathematical Society. New Series 9 Expositiones Mathematicae 9 Indagationes Mathematicae. New Series 9 Proceedings of the Steklov Institute of Mathematics 9 Algebraic Combinatorics 8 Journal of Mathematical Physics 8 Topology and its Applications 8 Graphs and Combinatorics 8 SIAM Journal on Discrete Mathematics 8 Nexus Network Journal 8 Journal of Physics A: Mathematical and Theoretical 7 American Mathematical Monthly 7 Information Processing Letters 7 Duke Mathematical Journal 7 Nagoya Mathematical Journal 7 St. Petersburg Mathematical Journal 7 Selecta Mathematica. New Series 6 Computers & Mathematics with Applications 6 Mathematics of Computation 6 Journal of Soviet Mathematics 6 Proceedings of the London Mathematical Society. Third Series 6 Combinatorica 6 Acta Mathematica Hungarica 6 Communications in Contemporary Mathematics 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 Mathematische Nachrichten 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Oberwolfach Reports 5 Ars Mathematica Contemporanea 4 Archive for Rational Mechanics and Analysis 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Physica A 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 4 Tôhoku Mathematical Journal. Second Series 4 International Journal of Mathematics ...and 276 more Serials all top 5 Cited in 57 Fields 947 Convex and discrete geometry (52-XX) 463 Combinatorics (05-XX) 404 Group theory and generalizations (20-XX) 202 Geometry (51-XX) 182 Algebraic geometry (14-XX) 133 Computer science (68-XX) 101 Number theory (11-XX) 96 Commutative algebra (13-XX) 87 Manifolds and cell complexes (57-XX) 75 Associative rings and algebras (16-XX) 69 Several complex variables and analytic spaces (32-XX) 64 Dynamical systems and ergodic theory (37-XX) 58 Probability theory and stochastic processes (60-XX) 47 Differential geometry (53-XX) 47 Operations research, mathematical programming (90-XX) 46 Functional analysis (46-XX) 41 Statistical mechanics, structure of matter (82-XX) 40 Nonassociative rings and algebras (17-XX) 37 Order, lattices, ordered algebraic structures (06-XX) 37 Real functions (26-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 36 Quantum theory (81-XX) 35 Measure and integration (28-XX) 33 Algebraic topology (55-XX) 31 Topological groups, Lie groups (22-XX) 30 General and overarching topics; collections (00-XX) 27 Information and communication theory, circuits (94-XX) 25 Numerical analysis (65-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 18 Mathematical logic and foundations (03-XX) 17 Special functions (33-XX) 17 Approximations and expansions (41-XX) 17 Operator theory (47-XX) 16 History and biography (01-XX) 14 Mechanics of deformable solids (74-XX) 14 Biology and other natural sciences (92-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 General topology (54-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Functions of a complex variable (30-XX) 12 Ordinary differential equations (34-XX) 12 Statistics (62-XX) 11 Field theory and polynomials (12-XX) 11 Partial differential equations (35-XX) 9 Category theory; homological algebra (18-XX) 8 Difference and functional equations (39-XX) 8 Abstract harmonic analysis (43-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 \(K\)-theory (19-XX) 7 Mechanics of particles and systems (70-XX) 5 Systems theory; control (93-XX) 3 Potential theory (31-XX) 3 Relativity and gravitational theory (83-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 General algebraic systems (08-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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