Edit Profile (opens in new tab) Shephard, Geoffrey Colin Compute Distance To: Compute 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 630 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 2,184 times in 1,788 Documents Cited by ▼ Year ▼ Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603Grünbaum, Branko 570 1967 Finite unitary reflection groups. Zbl 0055.14305Shephard, Geoffrey C.; Todd, J. A. 529 1954 Tilings and patterns. Zbl 0601.05001Grünbaum, Branko; Shephard, G. C. 318 1987 Convex polytopes and the upper bound conjecture. Zbl 0217.46702McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A. 129 1971 The difference body of a convex body. Zbl 0082.15703Rogers, C. A.; Shephard, Geoffrey C. 107 1957 Convex bodies associated with a given convex body. Zbl 0083.38402Rogers, C. A.; Shephard, Geoffrey C. 58 1958 Combinatorial properties of associated zonotopes. Zbl 0287.52005Shephard, Geoffrey C. 56 1974 Shadow systems of convex sets. Zbl 0132.17304Shephard, Geoffrey C. 54 1964 Some extremal problems for convex bodies. Zbl 0092.15301Rogers, C. A.; Shephard, Geoffrey C. 42 1958 Decomposable convex polyhedra. Zbl 0121.39002Shephard, Geoffrey C. 41 1963 Unitary groups generated by reflections. Zbl 0052.16403Shephard, Geoffrey C. 32 1953 Aperiodic tiles. Zbl 0758.52013Ammann, Robert; Grünbaum, Branko; Shephard, G. C. 31 1992 Satins and twills: An introduction to the geometry of fabrics. Zbl 0462.05025Grünbaum, Branko; Shephard, Geoffrey C. 25 1980 Metrics for sets of convex bodies. Zbl 0144.21303Shephard, Geoffrey C.; Webster, R. J. 25 1965 The Steiner point of a convex polytope. Zbl 0145.42801Shephard, Geoffrey C. 24 1966 Regular complex polytopes. Zbl 0047.14106Shephard, Geoffrey C. 23 1952 Convex polytopes. Zbl 0183.26901Grünbaum, Branko; Shephard, Geoffrey C. 21 1969 Facets and nonfacets of convex polytopes. Zbl 0161.19301Perles, M. A.; Shephard, Geoffrey C. 21 1967 The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054Grünbaum, Branko; Shephard, Geoffrey C. 21 1977 Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026Grünbaum, Branko; Shephard, Geoffrey C. 20 1982 Diagrams for centrally symmetric polytopes. Zbl 0167.50902McMullen, P.; Shephard, Geoffrey C. 19 1968 Tilings and patterns. An introduction. Zbl 0746.52001Grünbaum, Branko; Shephard, Geoffrey Colin 19 1989 Spherical complexes and radial projections of polytopes. Zbl 0207.52202Shephard, Geoffrey C. 19 1971 Convex bodies and convexity on Grassmann cones. I-IV. Zbl 0112.37301Busemann, H.; Ewald, G.; Shephard, Geoffrey C. 18 1963 Tilings with congruent tiles. Zbl 0463.51019Grünbaum, Branko; Shephard, Geoffrey C. 17 1980 Angle sums of convex polytopes. Zbl 0172.23703Perles, M. A.; Shephard, Geoffrey C. 16 1967 A uniqueness theorem for the Steiner point of a convex region. Zbl 0162.25801Shephard, Geoffrey C. 15 1968 Pick’s theorem. Zbl 0776.52005Grünbaum, Branko; Shephard, G. C. 15 1993 Diagrams for positive bases. Zbl 0225.15004Shephard, Geoffrey C. 15 1971 Stellar subdivisions of boundary complexes of convex polytopes. Zbl 0272.52001Ewald, G.; Shephard, Geoffrey C. 15 1974 Convex polytopes with convex nets. Zbl 0312.52011Shephard, Geoffrey C. 15 1975 Tilings by regular polygons. Zbl 0385.51006Grünbaum, Branko; Shephard, Geoffrey C. 14 1977 Approximation problems for convex polyhedra. Zbl 0124.37801Shephard, Geoffrey C. 14 1964 Normed vector spaces consisting of classes of convex sets. Zbl 0141.39003Ewald, G.; Shephard, Geoffrey C. 14 1966 Sections and projections of convex polytopes. Zbl 0258.52006Shephard, Geoffrey C. 14 1972 Regular 3-complexes with toroidal cells. Zbl 0305.05103Coxeter, H. S. M.; Shephard, Geoffrey C. 14 1977 Euler-type relations for convex polytopes. Zbl 0159.51703Shephard, Geoffrey C. 13 1968 Is selfduality involutory? Zbl 0658.52004Grünbaum, Branko; Shephard, G. C. 13 1988 Edge-transitive planar graphs. Zbl 0643.05038Grünbaum, Branko; Shephard, G. C. 12 1987 Inequalities between mixed volumes of convex sets. Zbl 0108.35203Shephard, Geoffrey C. 12 1960 Some problems on polyhedra. Zbl 0618.52004Grünbaum, Branko; Shephard, Geoffrey C. 11 1987 A theorem on cyclic polytopes. Zbl 0174.25403Shephard, Geoffrey C. 10 1969 Polyhedra with transitivity properties. Zbl 0528.52009Grünbaum, Branko; Shephard, Geoffrey C. 10 1984 Self-duality groups and ranks of self-dualities. Zbl 0752.52003Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter 10 1991 Monotypic polytopes and their intersection properties. Zbl 0283.52008McMullen, P.; Schneider, R.; Shephard, Geoffrey C. 10 1974 Space-filling zonotopes. Zbl 0296.52004Shephard, Geoffrey C. 10 1975 Polytopes with centrally symmetric faces. Zbl 0171.43101Shephard, Geoffrey C. 9 1967 An elementary proof of Gram’s theorem for convex polytopes. Zbl 0157.52504Shephard, Geoffrey C. 9 1967 Angle deficiencies of convex polytopes. Zbl 0159.51801Shephard, Geoffrey C. 9 1968 Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012Grünbaum, Branko; Shephard, G. C. 9 1990 Subpolytopes of stack polytopes. Zbl 0305.52010Shephard, Geoffrey C. 9 1974 Isotoxal tilings. Zbl 0393.51010Grünbaum, Branko; Shephard, Geoffrey C. 8 1978 An extension to the catalogue of isonemal fabrics. Zbl 0598.52011Grünbaum, Branko; Shephard, Geoffrey C. 7 1986 A hierarchy of classification methods for patterns. Zbl 0565.05018Grünbaum, Branko; Shephard, Geoffrey C. 7 1981 The ninety-one types of isogonal tilings in the plane. Zbl 0386.51014Grünbaum, Branko; Shephard, Geoffrey C. 6 1978 Isohedral tilings of the plane by polygons. Zbl 0392.05020Grünbaum, Branko; Shephard, Geoffrey C. 6 1978 Abstract definitions for reflection groups. Zbl 0077.25102Shephard, Geoffrey C. 6 1957 A pre-Hilbert space consisting of classes of convex sets. Zbl 0146.18203Shephard, Geoffrey C. 6 1966 Ceva, Menelaus, and the area principle. Zbl 0869.51007Grünbaum, Branko; Shephard, G. C. 6 1995 A construction for projectively unique polytopes. Zbl 0299.52004Perles, M. A.; Shephard, Geoffrey C. 6 1974 Isonemal fabrics. Zbl 0645.51020Grünbaum, Branko; Shephard, G. C. 5 1988 Tiling three-dimensional space with polyhedral tiles of a given isomorphism type. Zbl 0533.52006Grünbaum, Branko; Mani-Levitska, Peter; Shephard, Geoffrey C. 5 1984 A catalogue of isonemal fabrics. Zbl 0569.51007Grünbaum, Branko; Shephard, Geoffrey C. 5 1985 Tilings, patterns, fabrics and related topics in discrete geometry. Zbl 0512.52008Grünbaum, Branko; Shephard, Geoffrey C. 5 1983 Some new transversality properties. Zbl 0912.51006Grünbaum, Branko; Shephard, G. C. 4 1998 Twenty problems on convex polyhedra. II. Zbl 0167.20303Shephard, G. C. 4 1968 Does every type of polyhedron tile three-space? Zbl 0539.52017Danzer, Ludwig; Grünbaum, Branko; Shephard, Geoffrey C. 4 1983 Some problems on finite reflection groups. Zbl 0071.36405Shephard, Geoffrey C. 4 1956 Convex bodies and convexity on Grassmann cones. Zbl 0125.11202Busemann, H.; Ewald, G.; Shephard, Geoffrey C. 4 1962 Approximations by polytopes with projectively regular facets. Zbl 0146.44302Shephard, Geoffrey C. 4 1966 Twenty problems on convex polyhedra. I. Zbl 0161.41604Shephard, Geoffrey C. 4 1968 Perfect colorings of transitive tilings and patterns in the plane. Zbl 0377.05014Grünbaum, Branko; Shephard, Geoffrey C. 4 1978 Polytopes with an axis of symmetry. Zbl 0195.24201McMullen, P.; Shephard, Geoffrey C. 4 1970 Erratum to “The centre of a finitely generated group”. Zbl 0257.20029Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C. 4 1972 Ceva, Menelaus, and selftransversality. Zbl 0883.52005Grünbaum, Branko; Shephard, G. C. 4 1997 Determination of all tessellation polyhedra with regular polygonal faces. Zbl 1349.52010Akiyama, Jin; Kuwata, Takayasu; Langerman, Stefan; Okawa, Kenji; Sato, Ikuro; Shephard, Geoffrey C. 3 2011 Simplicial arrangements in projective 3-space. Zbl 0558.51001Grünbaum, Branko; Shephard, Geoffrey C. 3 1984 The 2-homeotoxal tilings of the plane and the 2-sphere. Zbl 0491.05022Grünbaum, Branko; Shephard, Geoffrey C. 3 1983 The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004Grünbaum, Branko; Shephard, Geoffrey C. 3 1982 Convex bodies and convexity on Grassmann cones. IV: The projection functions of a simplex. Zbl 0123.15601Shephard, G. C. 3 1964 Convex bodies and convexity on Grassmann cones. VIII: Projection functions of vector sums of convex sets. Zbl 0125.11203Shephard, Geoffrey C. 3 1964 Convex bodies and convexity on Grassmann cones. X: Projection functions of parallel convex bodies. Zbl 0141.19901Busemann, H.; Shephard, Geoffrey C. 3 1965 Reducible convex sets. Zbl 0146.44301Shephard, Geoffrey C. 3 1966 Isohedra with nonconvex faces. Zbl 0938.51016Grünbaum, Branko; Shephard, G. C. 3 1998 Interlace patterns in Islamic and Moorish art. Leonardo 25, No. 3-4 (Spec. Issue). Zbl 0804.52012Grünbaum, Branko; Shephard, G. C. 3 1992 Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010Grünbaum, Branko; Shephard, G. C. 3 1991 The centre of a finitely generated group. Zbl 0236.20029Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C. 3 1972 Spherical tilings with transitivity properties. Zbl 0501.51012Grünbaum, Branko; Shephard, Geoffrey C. 2 1982 Rigid plate frameworks. (Les charpentes de plaques rigides). Zbl 0645.51021Grünbaum, Branko; Shephard, G. C. 2 1988 Neighbourliness and Radon’s theorem. Zbl 0185.25801Shephard, Geoffrey C. 2 1969 The enumeration of normal 2-homeohedral tilings. Zbl 0572.52024Grünbaum, Branko; Löckenhoff, H.-D.; Shephard, Geoffrey C.; Temesvári, Á. H. 2 1985 Symmetry groups of knots. Zbl 0585.51012Grünbaum, Branko; Shephard, Geoffrey C. 2 1985 Convexity on nonconvex sets. Zbl 0152.39404Busemann, H.; Shephard, Geoffrey C. 2 1967 The mean width of a convex polytope. Zbl 0159.51704Shephard, Geoffrey C. 2 1968 Isohedral deltahedra. Zbl 0996.52010Shephard, G. C. 2 1999 Additive frieze patterns and multiplication tables. Zbl 0344.05008Shephard, Geoffrey C. 2 1976 A new look at Euler’s theorem for polyhedra. Zbl 0807.52010Grünbaum, Branko; Shephard, G. C. 2 1994 A new Ceva-type theorem. Zbl 0882.51012Grünbaum, Branko; Shephard, G. C. 2 1996 Sequences of smoothed polygons. Zbl 1051.52002Shephard, G. C. 2 2003 Equifacetted 4-polytopes. Zbl 1160.52008Shephard, G. C. 1 2008 Determination of all tessellation polyhedra with regular polygonal faces. Zbl 1349.52010Akiyama, Jin; Kuwata, Takayasu; Langerman, Stefan; Okawa, Kenji; Sato, Ikuro; Shephard, Geoffrey C. 3 2011 Equifacetted 4-polytopes. Zbl 1160.52008Shephard, G. C. 1 2008 Sequences of smoothed polygons. Zbl 1051.52002Shephard, G. C. 2 2003 Finite edge-to-edge tilings by convex polygons. Zbl 1037.52013Blind, Roswitha; Shephard, G. C. 1 2001 Isohedral deltahedra. Zbl 0996.52010Shephard, G. C. 2 1999 Isomorphism invariants for projective configurations. Zbl 0961.51017Shephard, G. C. 1 1999 Cyclic sums for polygons. Zbl 1010.51012Shephard, G. C. 1 1999 Some new transversality properties. Zbl 0912.51006Grünbaum, Branko; Shephard, G. C. 4 1998 Isohedra with nonconvex faces. Zbl 0938.51016Grünbaum, Branko; Shephard, G. C. 3 1998 Ceva, Menelaus, and selftransversality. Zbl 0883.52005Grünbaum, Branko; Shephard, G. C. 4 1997 A new Ceva-type theorem. Zbl 0882.51012Grünbaum, Branko; Shephard, G. C. 2 1996 Ceva, Menelaus, and the area principle. Zbl 0869.51007Grünbaum, Branko; Shephard, G. C. 6 1995 The perpendicular bisector construction. Zbl 0843.51022Shephard, G. C. 1 1995 A new look at Euler’s theorem for polyhedra. Zbl 0807.52010Grünbaum, Branko; Shephard, G. C. 2 1994 Pick’s theorem. Zbl 0776.52005Grünbaum, Branko; Shephard, G. C. 15 1993 Aperiodic tiles. Zbl 0758.52013Ammann, Robert; Grünbaum, Branko; Shephard, G. C. 31 1992 Interlace patterns in Islamic and Moorish art. Leonardo 25, No. 3-4 (Spec. Issue). Zbl 0804.52012Grünbaum, Branko; Shephard, G. C. 3 1992 Portraits of a family of complex polytopes. Leonardo 25, No. 3-4 (Spec. Issue). Zbl 0803.51023Coxeter, H. S. M.; Shephard, G. C. 1 1992 Self-duality groups and ranks of self-dualities. Zbl 0752.52003Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter 10 1991 Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010Grünbaum, Branko; Shephard, G. C. 3 1991 Some regular maps and their polyhedral realizations. Zbl 0736.05045Coxeter, H. S. M.; Shephard, G. C. 1 1991 Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012Grünbaum, Branko; Shephard, G. C. 9 1990 Tilings and patterns. An introduction. Zbl 0746.52001Grünbaum, Branko; Shephard, Geoffrey Colin 19 1989 Is selfduality involutory? Zbl 0658.52004Grünbaum, Branko; Shephard, G. C. 13 1988 Isonemal fabrics. Zbl 0645.51020Grünbaum, Branko; Shephard, G. C. 5 1988 Rigid plate frameworks. (Les charpentes de plaques rigides). Zbl 0645.51021Grünbaum, Branko; Shephard, G. C. 2 1988 Tilings and patterns. Zbl 0601.05001Grünbaum, Branko; Shephard, G. C. 318 1987 Edge-transitive planar graphs. Zbl 0643.05038Grünbaum, Branko; Shephard, G. C. 12 1987 Some problems on polyhedra. Zbl 0618.52004Grünbaum, Branko; Shephard, Geoffrey C. 11 1987 A dual of Descartes’ theorem on polyhedra. Zbl 0631.52007Grünbaum, Branko; Shephard, G. C. 1 1987 An extension to the catalogue of isonemal fabrics. Zbl 0598.52011Grünbaum, Branko; Shephard, Geoffrey C. 7 1986 A catalogue of isonemal fabrics. Zbl 0569.51007Grünbaum, Branko; Shephard, Geoffrey C. 5 1985 The enumeration of normal 2-homeohedral tilings. Zbl 0572.52024Grünbaum, Branko; Löckenhoff, H.-D.; Shephard, Geoffrey C.; Temesvári, Á. H. 2 1985 Symmetry groups of knots. Zbl 0585.51012Grünbaum, Branko; Shephard, Geoffrey C. 2 1985 Polyhedra with transitivity properties. Zbl 0528.52009Grünbaum, Branko; Shephard, Geoffrey C. 10 1984 Tiling three-dimensional space with polyhedral tiles of a given isomorphism type. Zbl 0533.52006Grünbaum, Branko; Mani-Levitska, Peter; Shephard, Geoffrey C. 5 1984 Simplicial arrangements in projective 3-space. Zbl 0558.51001Grünbaum, Branko; Shephard, Geoffrey C. 3 1984 The geometry of fabrics. Zbl 0559.05016Grünbaum, Branko; Shephard, Geoffrey C. 1 1984 Tilings, patterns, fabrics and related topics in discrete geometry. Zbl 0512.52008Grünbaum, Branko; Shephard, Geoffrey C. 5 1983 Does every type of polyhedron tile three-space? Zbl 0539.52017Danzer, Ludwig; Grünbaum, Branko; Shephard, Geoffrey C. 4 1983 The 2-homeotoxal tilings of the plane and the 2-sphere. Zbl 0491.05022Grünbaum, Branko; Shephard, Geoffrey C. 3 1983 Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026Grünbaum, Branko; Shephard, Geoffrey C. 20 1982 The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004Grünbaum, Branko; Shephard, Geoffrey C. 3 1982 Spherical tilings with transitivity properties. Zbl 0501.51012Grünbaum, Branko; Shephard, Geoffrey C. 2 1982 A hierarchy of classification methods for patterns. Zbl 0565.05018Grünbaum, Branko; Shephard, Geoffrey C. 7 1981 Patterns on the 2-sphere. Zbl 0449.05010Grünbaum, Branko; Shephard, Geoffrey C. 1 1981 The geometry of planar graphs. Zbl 0462.05029Grünbaum, Branko; Shephard, Geoffrey C. 1 1981 Some remarks on Fedotov’s paper on discrete chronogeometry. Zbl 0477.05026Grünbaum, Branko; Shephard, Geoffrey C. 1 1981 Satins and twills: An introduction to the geometry of fabrics. Zbl 0462.05025Grünbaum, Branko; Shephard, Geoffrey C. 25 1980 Tilings with congruent tiles. Zbl 0463.51019Grünbaum, Branko; Shephard, Geoffrey C. 17 1980 Incidence symbols and their applications. Zbl 0408.05021Grünbaum, Branko; Shephard, Geoffrey C. 1 1979 The homeomeric classification of patterns. Zbl 0389.51010Grünbaum, Branko; Shephard, Geoffrey C. 1 1979 Isotoxal tilings. Zbl 0393.51010Grünbaum, Branko; Shephard, Geoffrey C. 8 1978 The ninety-one types of isogonal tilings in the plane. Zbl 0386.51014Grünbaum, Branko; Shephard, Geoffrey C. 6 1978 Isohedral tilings of the plane by polygons. Zbl 0392.05020Grünbaum, Branko; Shephard, Geoffrey C. 6 1978 Perfect colorings of transitive tilings and patterns in the plane. Zbl 0377.05014Grünbaum, Branko; Shephard, Geoffrey C. 4 1978 The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054Grünbaum, Branko; Shephard, Geoffrey C. 21 1977 Tilings by regular polygons. Zbl 0385.51006Grünbaum, Branko; Shephard, Geoffrey C. 14 1977 Regular 3-complexes with toroidal cells. Zbl 0305.05103Coxeter, H. S. M.; Shephard, Geoffrey C. 14 1977 Additive frieze patterns and multiplication tables. Zbl 0344.05008Shephard, Geoffrey C. 2 1976 Convex polytopes with convex nets. Zbl 0312.52011Shephard, Geoffrey C. 15 1975 Space-filling zonotopes. Zbl 0296.52004Shephard, Geoffrey C. 10 1975 Combinatorial properties of associated zonotopes. Zbl 0287.52005Shephard, Geoffrey C. 56 1974 Stellar subdivisions of boundary complexes of convex polytopes. Zbl 0272.52001Ewald, G.; Shephard, Geoffrey C. 15 1974 Monotypic polytopes and their intersection properties. Zbl 0283.52008McMullen, P.; Schneider, R.; Shephard, Geoffrey C. 10 1974 Subpolytopes of stack polytopes. Zbl 0305.52010Shephard, Geoffrey C. 9 1974 A construction for projectively unique polytopes. Zbl 0299.52004Perles, M. A.; Shephard, Geoffrey C. 6 1974 Sections and projections of convex polytopes. Zbl 0258.52006Shephard, Geoffrey C. 14 1972 Erratum to “The centre of a finitely generated group”. Zbl 0257.20029Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C. 4 1972 The centre of a finitely generated group. Zbl 0236.20029Conway, J. H.; Coxeter, H. S. M.; Shephard, Geoffrey C. 3 1972 Convex polytopes and the upper bound conjecture. Zbl 0217.46702McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A. 129 1971 Spherical complexes and radial projections of polytopes. Zbl 0207.52202Shephard, Geoffrey C. 19 1971 Diagrams for positive bases. Zbl 0225.15004Shephard, Geoffrey C. 15 1971 Polytopes with an axis of symmetry. Zbl 0195.24201McMullen, P.; Shephard, Geoffrey C. 4 1970 Dense sequences of convex polytopes. Zbl 0199.57003Perles, M. A.; Shephard, Geoffrey C. 1 1970 Convex polytopes. Zbl 0183.26901Grünbaum, Branko; Shephard, Geoffrey C. 21 1969 A theorem on cyclic polytopes. Zbl 0174.25403Shephard, Geoffrey C. 10 1969 Neighbourliness and Radon’s theorem. Zbl 0185.25801Shephard, Geoffrey C. 2 1969 Diagrams for centrally symmetric polytopes. Zbl 0167.50902McMullen, P.; Shephard, Geoffrey C. 19 1968 A uniqueness theorem for the Steiner point of a convex region. Zbl 0162.25801Shephard, Geoffrey C. 15 1968 Euler-type relations for convex polytopes. Zbl 0159.51703Shephard, Geoffrey C. 13 1968 Angle deficiencies of convex polytopes. Zbl 0159.51801Shephard, Geoffrey C. 9 1968 Twenty problems on convex polyhedra. II. Zbl 0167.20303Shephard, G. C. 4 1968 Twenty problems on convex polyhedra. I. Zbl 0161.41604Shephard, Geoffrey C. 4 1968 The mean width of a convex polytope. Zbl 0159.51704Shephard, Geoffrey C. 2 1968 Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603Grünbaum, Branko 570 1967 Facets and nonfacets of convex polytopes. Zbl 0161.19301Perles, M. A.; Shephard, Geoffrey C. 21 1967 Angle sums of convex polytopes. Zbl 0172.23703Perles, M. A.; Shephard, Geoffrey C. 16 1967 Polytopes with centrally symmetric faces. Zbl 0171.43101Shephard, Geoffrey C. 9 1967 An elementary proof of Gram’s theorem for convex polytopes. Zbl 0157.52504Shephard, Geoffrey C. 9 1967 Convexity on nonconvex sets. Zbl 0152.39404Busemann, H.; Shephard, Geoffrey C. 2 1967 The Steiner point of a convex polytope. Zbl 0145.42801Shephard, Geoffrey C. 24 1966 Normed vector spaces consisting of classes of convex sets. Zbl 0141.39003Ewald, G.; Shephard, Geoffrey C. 14 1966 A pre-Hilbert space consisting of classes of convex sets. Zbl 0146.18203Shephard, Geoffrey C. 6 1966 Approximations by polytopes with projectively regular facets. Zbl 0146.44302Shephard, Geoffrey C. 4 1966 Reducible convex sets. Zbl 0146.44301Shephard, Geoffrey C. 3 1966 Vector spaces of finite dimensions. Zbl 0158.27902Shephard, Geoffrey C. 1 1966 Metrics for sets of convex bodies. Zbl 0144.21303Shephard, Geoffrey C.; Webster, R. J. 25 1965 Convex bodies and convexity on Grassmann cones. X: Projection functions of parallel convex bodies. Zbl 0141.19901Busemann, H.; Shephard, Geoffrey C. 3 1965 Shadow systems of convex sets. Zbl 0132.17304Shephard, Geoffrey C. 54 1964 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,939 Authors 29 Shephard, Geoffrey Colin 28 McMullen, Peter 21 Grünbaum, Branko 20 Schulte, Egon 19 Schneider, Rolf G. 13 Jendrol’, Stanislav 11 Kirkman, Ellen E. 11 Röhrle, Gerhard E. 11 Solomon, Louis 10 Bezdek, Károly 10 Ewald, Günter 10 Martini, Horst 10 Paouris, Grigoris 9 Alonso-Gutiérrez, David 9 Frettlöh, Dirk 9 Gronchi, Paolo 9 Gruber, Peter Manfred 9 Kleinschmidt, Peter 9 Reiner, Victor 8 Blind, Gerd 8 Blind, Roswitha 8 Campi, Stefano 8 Richter, Christian 8 Schymura, Matthias 8 Senechal, Marjorie Wikler 8 Urbański, Ryszard 7 Chavli, Eirini 7 Gómez, Eugenia Saorín 7 Grzybowski, Jerzy 7 Henk, Martin 7 Hoge, Torsten 7 Malle, Gunter 7 Orlik, Peter 7 Pachner, Udo 7 Stanley, Richard Peter 7 Watkins, Mark E. 7 Yost, David T. 6 Akiyama, Shigeki 6 Bárány, Imre 6 Bisztriczky, Tibor 6 Bokowski, Jürgen G. 6 Gritzmann, Peter 6 Kalai, Gil 6 Kühnel, Wolfgang 6 Lee, Carl W. 6 Martone, Mario 6 Merino, Bernardo González 6 Pineda-Villavicencio, Guillermo 6 Radin, Charles 6 Shepler, Anne V. 6 Thomas, Robert S. D. 6 Weiss, Asia Ivić 6 Zaks, Joseph 5 Baake, Michael 5 Böröczky, Karoly jun. 5 Caselli, Fabrizio 5 de las Penas, Ma. Louise Antonette N. 5 Demaine, Erik D. 5 Gelbrich, Götz 5 Heckman, Gert 5 Huck, Christian 5 Kuzmanovich, James J. 5 Lángi, Zsolt 5 Leng, Gangsong 5 Lewis, Joel Brewster 5 Mann, Casey E. 5 Padrol, Arnau 5 Perles, Micha A. 5 Pivovarov, Peter 5 Saroglou, Christos 5 Shi, Jianyi 5 Sloane, Neil James Alexander 5 Sturmfels, Bernd 5 Vitale, Richard A. 5 Voss, Heinz-Jürgen 5 Wills, Jörg M. 5 Zhang, James J. 5 Ziegler, Günter Matthias 5 Zvavitch, Artem 4 Adiprasito, Karim Alexander 4 Altshuler, Amos 4 Amend, Nils 4 Ardila, Federico 4 Argyres, Philip C. 4 Bannai, Eiichi 4 Barnette, David W. 4 Bellamy, Gwyn 4 Bergeron, François 4 Bessis, David 4 Betke, Ulrich 4 Billera, Louis J. 4 Chen, Fangwei 4 Colesanti, Andrea 4 Coxeter, Harold Scott MacDonald 4 Cromwell, Peter R. 4 Deraux, Martin 4 Dillencourt, Michael B. 4 Fernique, Thomas 4 Fradelizi, Matthieu 4 Gaddis, Jason ...and 1,839 more Authors all top 5 Cited in 342 Serials 95 Discrete & Computational Geometry 94 Discrete Mathematics 66 Journal of Algebra 56 Israel Journal of Mathematics 55 Advances in Mathematics 48 Transactions of the American Mathematical Society 42 Geometriae Dedicata 41 Journal of Combinatorial Theory. Series A 35 Mathematika 33 European Journal of Combinatorics 32 Proceedings of the American Mathematical Society 29 Mathematische Annalen 28 Mathematische Zeitschrift 26 Archiv der Mathematik 25 Monatshefte für Mathematik 21 Inventiones Mathematicae 20 Journal of Pure and Applied Algebra 20 Theoretical Computer Science 18 The Mathematical Intelligencer 17 Communications in Algebra 17 Linear Algebra and its Applications 15 Results in Mathematics 15 Computational Geometry 14 Journal of Functional Analysis 14 Journal of Geometry 14 Journal of Algebraic Combinatorics 13 Discrete Applied Mathematics 13 Journal of Mathematical Analysis and Applications 13 Advances in Applied Mathematics 13 Journal of High Energy Physics 12 Beiträge zur Algebra und Geometrie 11 Communications in Mathematical Physics 11 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 11 Journal of Combinatorial Theory. Series B 11 The Electronic Journal of Combinatorics 10 Manuscripta Mathematica 10 Experimental Mathematics 9 Mathematical Notes 9 The Journal of Geometric Analysis 9 Aequationes Mathematicae 9 Bulletin of the American Mathematical Society. New Series 9 Expositiones Mathematicae 9 Indagationes Mathematicae. New Series 9 Transformation Groups 9 Proceedings of the Steklov Institute of Mathematics 9 Journal of Mathematics and the Arts 8 Journal of Statistical Physics 8 Topology and its Applications 8 Séminaire Lotharingien de Combinatoire 8 Algebras and Representation Theory 7 American Mathematical Monthly 7 Journal of Mathematical Physics 7 Duke Mathematical Journal 7 Nagoya Mathematical Journal 7 SIAM Journal on Discrete Mathematics 7 St. Petersburg Mathematical Journal 7 Nexus Network Journal 6 Computers & Mathematics with Applications 6 Information Processing Letters 6 Mathematics of Computation 6 Journal of Soviet Mathematics 6 Combinatorica 6 Graphs and Combinatorics 6 Algebraic Combinatorics 5 Periodica Mathematica Hungarica 5 Compositio Mathematica 5 Functional Analysis and its Applications 5 Proceedings of the Japan Academy. Series A 5 Acta Mathematica Hungarica 5 Pattern Recognition 5 Journal of Mathematical Sciences (New York) 5 Selecta Mathematica. New Series 5 Annals of Combinatorics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Archive for Rational Mechanics and Analysis 4 Bulletin of the Australian Mathematical Society 4 Linear and Multilinear Algebra 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Mathematics Magazine 4 Annales de l’Institut Fourier 4 Journal of Approximation Theory 4 Mathematische Nachrichten 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Siberian Mathematical Journal 4 Tôhoku Mathematical Journal. Second Series 4 Journal of the American Mathematical Society 4 Elemente der Mathematik 4 Set-Valued Analysis 4 Journal of Mathematical Chemistry 4 Geometry & Topology 4 Communications in Contemporary Mathematics 4 Journal of Algebra and its Applications 4 Bulletin of the American Mathematical Society 3 Physica A 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Canadian Journal of Mathematics 3 Glasgow Mathematical Journal 3 Journal of Computer and System Sciences 3 Journal of the Mathematical Society of Japan ...and 242 more Serials all top 5 Cited in 55 Fields 863 Convex and discrete geometry (52-XX) 406 Combinatorics (05-XX) 363 Group theory and generalizations (20-XX) 182 Geometry (51-XX) 157 Algebraic geometry (14-XX) 111 Computer science (68-XX) 92 Number theory (11-XX) 92 Commutative algebra (13-XX) 76 Manifolds and cell complexes (57-XX) 65 Associative rings and algebras (16-XX) 58 Several complex variables and analytic spaces (32-XX) 50 Dynamical systems and ergodic theory (37-XX) 47 Probability theory and stochastic processes (60-XX) 43 Differential geometry (53-XX) 41 Operations research, mathematical programming (90-XX) 40 Functional analysis (46-XX) 37 Nonassociative rings and algebras (17-XX) 35 Statistical mechanics, structure of matter (82-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 34 Measure and integration (28-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 31 Quantum theory (81-XX) 30 Real functions (26-XX) 30 Algebraic topology (55-XX) 29 Topological groups, Lie groups (22-XX) 24 General and overarching topics; collections (00-XX) 24 Numerical analysis (65-XX) 24 Information and communication theory, circuits (94-XX) 17 Approximations and expansions (41-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Special functions (33-XX) 16 Operator theory (47-XX) 14 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 11 Ordinary differential equations (34-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 11 General topology (54-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Biology and other natural sciences (92-XX) 10 Field theory and polynomials (12-XX) 10 Functions of a complex variable (30-XX) 10 Mechanics of deformable solids (74-XX) 9 Partial differential equations (35-XX) 9 Statistics (62-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 \(K\)-theory (19-XX) 7 Difference and functional equations (39-XX) 6 Category theory; homological algebra (18-XX) 6 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 4 Systems theory; control (93-XX) 3 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-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. Updates and corrections should be made in Wikidata.