Edit Profile (opens in new tab) McMullen, Peter Co-Author Distance Author ID: mcmullen.peter Published as: McMullen, Peter; McMullen, P. External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 128 Publications since 1967, including 3 Books 2 Contributions as Editor Reviewing Activity: 210 Reviews Co-Authors: 25 Co-Authors with 42 Joint Publications 398 Co-Co-Authors all top 5 Co-Authors 88 single-authored 19 Schulte, Egon 6 Wills, Jörg M. 4 Shephard, Geoffrey Colin 4 Weiss, Asia Ivić 3 Schneider, Rolf G. 3 Schulz, Christoph 2 Betke, Ulrich 2 Monson, Barry 1 Altshuler, Amos 1 Ball, Alan A. 1 Bezdek, András 1 Bezdek, Károly 1 Bisztriczky, Tibor 1 Coxeter, Harold Scott MacDonald 1 Ellers, Erich Werner 1 Gallivan, Steve 1 Gardner, Richard J. 1 Grünbaum, Branko 1 Hartley, Michael Ian 1 Larman, David G. 1 Lockeberg, E. R. 1 Makai, Endre jun. 1 Reeve, John-E. 1 Sherk, F. Arthur 1 Thompson, Anthony C. 1 Walkup, David W. all top 5 Serials 16 Mathematika 11 Discrete & Computational Geometry 9 Israel Journal of Mathematics 6 Advances in Mathematics 6 Geometriae Dedicata 5 Monatshefte für Mathematik 5 Aequationes Mathematicae 4 Beiträge zur Algebra und Geometrie 4 Archiv der Mathematik 4 Canadian Journal of Mathematics 3 Discrete Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Elemente der Mathematik 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Bulletin of the London Mathematical Society 2 Journal of Combinatorial Theory. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the American Mathematical Society 2 European Journal of Combinatorics 2 Annals of Combinatorics 2 Encyclopedia of Mathematics and Its Applications 1 International Journal of Modern Physics B 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Commentarii Mathematici Helvetici 1 Inventiones Mathematicae 1 Journal of Combinatorial Theory. Series B 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Advances in Applied Mathematics 1 Combinatorica 1 Notices of the American Mathematical Society 1 Proceedings of the Cambridge Philosophical Society 1 Journal of the London Mathematical Society 1 London Mathematical Society Lecture Note Series 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Canadian Mathematical Society Series of Monographs and Advanced Texts all top 5 Fields 111 Convex and discrete geometry (52-XX) 50 Geometry (51-XX) 12 Group theory and generalizations (20-XX) 7 Number theory (11-XX) 5 Combinatorics (05-XX) 3 Manifolds and cell complexes (57-XX) 2 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 116 Publications have been cited 2,097 times in 1,342 Documents Cited by ▼ Year ▼ The maximum numbers of faces of a convex polytope. Zbl 0217.46703 McMullen, P. 228 1970 Abstract regular polytopes. Zbl 1039.52011 McMullen, Peter; Schulte, Egon 204 2002 Convex polytopes and the upper bound conjecture. Zbl 0217.46702 McMullen, P.; Shephard, Geoffrey C.; Reeve, J. E.; Ball, A. A. 138 1971 Valuations and Euler-type relations on certain classes of convex polytopes. Zbl 0353.52001 McMullen, P. 102 1977 The numbers of faces of simplicial polytopes. Zbl 0209.53701 McMullen, P. 78 1971 Non-linear angle-sum relations for polyhedral cones and polytopes. Zbl 0313.52005 McMullen, P. 67 1975 On simple polytopes. Zbl 0803.52007 McMullen, Peter 62 1993 A generalized lower-bound conjecture for simplicial polytopes. Zbl 0233.52003 McMullen, P.; Walkup, D. W. 51 1971 Valuations and dissections. Zbl 0791.52014 McMullen, Peter 51 1993 Valuations on convex bodies. Zbl 0534.52001 McMullen, Peter; Schneider, Rolf 45 1983 The polytope algebra. Zbl 0686.52005 McMullen, Peter 43 1989 On zonotopes. Zbl 0223.52007 McMullen, P. 40 1971 Convex bodies which tile space by translation. Zbl 0432.52016 McMullen, P. 39 1980 Lattice invariant valuations on rational polytopes. Zbl 0387.52007 McMullen, P. 34 1978 Lattice points in lattice polytopes. Zbl 0565.52007 Betke, Ulrich.; McMullen, P. 32 1985 Continuous translation invariant valuations on the space of compact convex sets. Zbl 0424.52003 McMullen, P. 32 1980 Combinatorially regular polytopes. Zbl 0155.50002 McMullen, P. 28 1967 Representations of polytopes and polyhedral sets. Zbl 0273.52006 McMullen, P. 28 1973 Regular polytopes in ordinary space. Zbl 0876.52003 McMullen, P.; Schulte, E. 28 1997 Isometry covariant valuations on convex bodies. Zbl 0901.52009 McMullen, Peter 27 1997 On Hammer’s X-ray problem. Zbl 0417.52005 Gardner, R. J.; McMullen, P. 26 1980 Polyhedral 2-manifolds in \(E^ 3\) with unusually large genus. Zbl 0525.52008 McMullen, P.; Schulz, Ch.; Wills, J. M. 24 1983 Regular polytopes of full rank. Zbl 1059.52019 McMullen, Peter 24 2004 Realizations of regular polytopes. Zbl 0676.51008 McMullen, Peter 23 1989 Transforms, diagrams and representations. Zbl 0445.52006 McMullen, P. 22 1979 Weights on polytopes. Zbl 0849.52011 McMullen, P. 21 1996 On the upper-bound conjecture for convex polytopes. Zbl 0172.47401 McMullen, P. 21 1971 Constructions for projectively unique polytopes. Zbl 0319.52010 McMullen, P. 21 1976 Equivelar polyhedral manifolds in \(E^ 3\). Zbl 0497.52004 McMullen, P.; Schulz, Ch.; Wills, J. M. 20 1982 Higher toroidal regular polytopes. Zbl 0847.52010 McMullen, Peter; Schulte, Egon 20 1996 Diagrams for centrally symmetric polytopes. Zbl 0167.50902 McMullen, P.; Shephard, Geoffrey C. 19 1968 Regular polytopes from twisted Coxeter groups and unitary reflexion groups. Zbl 0711.51007 McMullen, Peter; Schulte, Egon 19 1990 Weakly continuous valuations on convex polytopes. Zbl 0526.52003 McMullen, Peter 18 1983 On a problem of Klee concerning convex polytopes. Zbl 0194.53802 McMullen, P. 18 1970 Space tiling zonotopes. Zbl 0316.52005 McMullen, P. 17 1975 Regular polytopes from twisted Coxeter groups. Zbl 0646.51023 McMullen, P.; Schulte, E. 16 1989 Constructions for regular polytopes. Zbl 0689.51009 McMullen, P.; Schulte, E. 16 1990 Four-dimensional regular polyhedra. Zbl 1134.52017 McMullen, Peter 15 2007 Infinite series of combinatorially regular polyhedra in three-space. Zbl 0643.51020 McMullen, P.; Schulte, E.; Wills, J. M. 13 1988 Estimating the sizes of convex bodies from projections. Zbl 0487.52005 Betke, U.; McMullen, P. 13 1983 Hermitian forms and locally toroidal regular polytopes. Zbl 0711.51008 McMullen, Peter; Schulte, Egon 13 1990 Inequalities between intrinsic volumes. Zbl 0722.52003 McMullen, Peter 13 1991 Volumes of projections of unit cubes. Zbl 0512.52002 McMullen, Peter 12 1984 Regular apeirotopes of dimension and rank 4. Zbl 1178.52009 McMullen, Peter 11 2009 Monotypic polytopes and their intersection properties. Zbl 0283.52008 McMullen, P.; Schneider, R.; Shephard, Geoffrey C. 11 1974 Valuations on lattice polytopes. Zbl 1161.52010 McMullen, Peter 10 2009 Polytopes with centrally symmetric faces. Zbl 0203.54903 McMullen, P. 10 1970 Realizations of regular polytopes. II. Zbl 1022.51019 McMullen, Peter; Monson, Barry 10 2003 Angle-sum relations for polyhedral sets. Zbl 0615.52006 McMullen, Peter 9 1986 Simplices with equiareal faces. Zbl 0958.51024 McMullen, P. 8 2000 Triangulations of simplicial polytopes. Zbl 1081.52011 McMullen, Peter 8 2004 On the inner parallel body of a convex body. Zbl 0307.52004 McMullen, P. 8 1975 Mixed fibre polytopes. Zbl 1087.52006 McMullen, Peter 8 2004 Convex bodies which tile space by translation: Acknowledgement of priority. Zbl 0446.52006 McMullen, P. 8 1981 Indecomposable convex polytopes. Zbl 0638.52003 McMullen, Peter 7 1987 Regular polytopes of nearly full rank. Zbl 1269.51008 McMullen, Peter 7 2011 Realizations of regular polytopes. III. Zbl 1226.51005 McMullen, Peter 7 2011 The number of simplicial neighbourly d-polytopes with d+3 vertices. Zbl 0284.52001 Altshuler, A.; McMullen, P. 7 1973 Regular and chiral polytopes in low dimensions. Zbl 1114.51010 McMullen, Peter; Schulte, Egon 7 2006 Regular polyhedra related to projective linear groups. Zbl 0746.52016 McMullen, Peter 7 1991 Duality, sections and projections of certain euclidean tilings. Zbl 0796.52004 McMullen, Peter 7 1994 Symmetric tessellations on Euclidean space-forms. Zbl 0965.51008 Hartley, Michael I.; McMullen, Peter; Schulte, Egon 6 1999 The minimum number of facets of a convex polytope. Zbl 0207.52203 McMullen, P. 6 1971 Locally projective regular polytopes. Zbl 0792.52005 McMullen, Peter 6 1994 Regular maps constructed from linear groups. Zbl 0820.51017 McMullen, Peter; Monson, Barry; Weiss, Asia Ivić 6 1993 Self-dual regular 4-polytopes and their Petrie-Coxeter-polyhedra. Zbl 0649.52005 McMullen, P.; Schulte, E. 5 1987 Regular star-polytopes, and a theorem of Hess. Zbl 0176.19603 McMullen, P. 5 1968 The number of neighbourly d-polytopes with d+3 vertices. Zbl 0288.52004 McMullen, P. 5 1974 A dice probability problem. Zbl 0325.60012 McMullen, P. 5 1975 Locally toroidal regular polytopes of rank 4. Zbl 0784.52016 McMullen, Peter; Schulte, Egon 5 1992 Modern developments in regular polytopes. Zbl 0817.52001 McMullen, Peter 5 1994 Regular polytopes of nearly full rank: addendum. Zbl 1269.51009 McMullen, Peter 5 2013 Geometric regular polytopes. Zbl 1454.51002 McMullen, Peter 5 2020 The groups of the regular star-polytopes. Zbl 0917.51024 McMullen, Peter 4 1998 Metrical and combinatorial properties of convex polytopes. Zbl 0334.52007 McMullen, P. 4 1975 The mix of a regular polytope with a face. Zbl 1022.51018 McMullen, Peter; Schulte, Egon 4 2002 Affinely and projectively regular polytopes. Zbl 0176.19604 McMullen, P. 4 1968 Polytopes with centrally symmetric facets. Zbl 0333.52004 McMullen, P. 4 1976 Regular polytopes of type {4,4,3} and {4,4,4}. Zbl 0758.51017 McMullen, P.; Schulte, E. 4 1992 Separation in the polytope algebra. Zbl 0780.52015 McMullen, Peter 4 1993 Realizations of regular apeirotopes. Zbl 0812.51016 McMullen, Peter 4 1994 Twisted groups and locally toroidal regular polytopes. Zbl 0884.51018 McMullen, Peter; Schulte, Egon 4 1996 Realizations of regular polytopes. IV. Zbl 1327.51023 McMullen, Peter 4 2014 Polytopes with an axis of symmetry. Zbl 0195.24201 McMullen, P.; Shephard, Geoffrey C. 4 1970 The volume of certain convex sets. Zbl 0481.52003 McMullen, P. 3 1982 Determinants of lattices induced by rational subspaces. Zbl 0512.10023 McMullen, Peter 3 1984 New combinations of convex sets. Zbl 0952.52004 McMullen, Peter 3 1999 Linearly stable polytopes. Zbl 0187.19602 McMullen, P. 3 1969 Arcs with increasing chords. Zbl 0244.52006 Larman, D. G.; McMullen, P. 3 1972 Realizations of regular polytopes. Zbl 0573.51014 McMullen, Peter 3 1985 Quotients of polytopes and \(C\)-groups. Zbl 0802.52009 McMullen, P.; Schulte, E. 3 1994 Polytopes: abstract, convex and computational. Proceedings of the NATO Advanced Study Institute, Scarborough, Ontario, Canada, August 20 - September 3, 1993. Zbl 0797.00016 3 1994 Quasi-regular polytopes of full rank. Zbl 1471.51011 McMullen, Peter 3 2021 Volumes of complementary projections of convex polytopes. Zbl 0627.52005 McMullen, Peter 2 1987 Convex bodies which tile space. Zbl 0501.51013 McMullen, P. 2 1982 Zur Gitterpunktanzahl auf dem Rand konvexer Körper. Zbl 0268.52003 McMullen, P.; Wills, J. M. 2 1973 Monotone translation invariant valuations on convex bodies. Zbl 0715.52001 McMullen, Peter 2 1990 Finite quotients of infinite universal polytopes. Zbl 0746.51032 McMullen, Peter; Schulte, Egon 2 1991 Complete subgraphs of the graphs of convex polytopes. Zbl 0463.05056 Gallivan, S.; Lockeberg, E. R.; McMullen, P. 2 1981 Minimal width and diameter of lattice-point-free convex bodies. Zbl 0464.52006 McMullen, P.; Wills, J. M. 2 1981 Quasi-regular polytopes of full rank. Zbl 1471.51011 McMullen, Peter 3 2021 Geometric regular polytopes. Zbl 1454.51002 McMullen, Peter 5 2020 New regular compounds of 4-polytopes. Zbl 1423.51015 McMullen, Peter 2 2018 Realizations of regular polytopes. IV. Zbl 1327.51023 McMullen, Peter 4 2014 Rigidity of regular polytopes. Zbl 1320.51022 McMullen, Peter 2 2014 Regular polytopes of nearly full rank: addendum. Zbl 1269.51009 McMullen, Peter 5 2013 Regular polytopes of nearly full rank. Zbl 1269.51008 McMullen, Peter 7 2011 Realizations of regular polytopes. III. Zbl 1226.51005 McMullen, Peter 7 2011 Regular apeirotopes of dimension and rank 4. Zbl 1178.52009 McMullen, Peter 11 2009 Valuations on lattice polytopes. Zbl 1161.52010 McMullen, Peter 10 2009 Four-dimensional regular polyhedra. Zbl 1134.52017 McMullen, Peter 15 2007 Regular and chiral polytopes in low dimensions. Zbl 1114.51010 McMullen, Peter; Schulte, Egon 7 2006 Valuations and tensor weights on polytopes. Zbl 1117.52018 McMullen, Peter 1 2006 Polytopes with parathetic faces. Zbl 1119.52303 McMullen, Peter 1 2006 Regular polytopes of full rank. Zbl 1059.52019 McMullen, Peter 24 2004 Triangulations of simplicial polytopes. Zbl 1081.52011 McMullen, Peter 8 2004 Mixed fibre polytopes. Zbl 1087.52006 McMullen, Peter 8 2004 Realizations of regular polytopes. II. Zbl 1022.51019 McMullen, Peter; Monson, Barry 10 2003 Fibre tilings. Zbl 1086.52006 McMullen, Peter 1 2003 Abstract regular polytopes. Zbl 1039.52011 McMullen, Peter; Schulte, Egon 204 2002 The mix of a regular polytope with a face. Zbl 1022.51018 McMullen, Peter; Schulte, Egon 4 2002 The Brunn-Minkowski theorem for polytopes. Zbl 1113.52021 McMullen, Peter 1 2002 Simplices with equiareal faces. Zbl 0958.51024 McMullen, P. 8 2000 Symmetric tessellations on Euclidean space-forms. Zbl 0965.51008 Hartley, Michael I.; McMullen, Peter; Schulte, Egon 6 1999 New combinations of convex sets. Zbl 0952.52004 McMullen, Peter 3 1999 The groups of the regular star-polytopes. Zbl 0917.51024 McMullen, Peter 4 1998 Regular polytopes in ordinary space. Zbl 0876.52003 McMullen, P.; Schulte, E. 28 1997 Isometry covariant valuations on convex bodies. Zbl 0901.52009 McMullen, Peter 27 1997 Weights on polytopes. Zbl 0849.52011 McMullen, P. 21 1996 Higher toroidal regular polytopes. Zbl 0847.52010 McMullen, Peter; Schulte, Egon 20 1996 Twisted groups and locally toroidal regular polytopes. Zbl 0884.51018 McMullen, Peter; Schulte, Egon 4 1996 Kaleidoscopes. Selected writings of H. S. M. Coxeter. Introduced and compiled by F. A. Sherk, P. McMullen, A. C. Thompson, and A. Ivić Weiss. Zbl 0976.01023 Coxeter, H. S. M. 1 1995 Duality, sections and projections of certain euclidean tilings. Zbl 0796.52004 McMullen, Peter 7 1994 Locally projective regular polytopes. Zbl 0792.52005 McMullen, Peter 6 1994 Modern developments in regular polytopes. Zbl 0817.52001 McMullen, Peter 5 1994 Realizations of regular apeirotopes. Zbl 0812.51016 McMullen, Peter 4 1994 Quotients of polytopes and \(C\)-groups. Zbl 0802.52009 McMullen, P.; Schulte, E. 3 1994 Polytopes: abstract, convex and computational. Proceedings of the NATO Advanced Study Institute, Scarborough, Ontario, Canada, August 20 - September 3, 1993. Zbl 0797.00016 3 1994 On simple polytopes. Zbl 0803.52007 McMullen, Peter 62 1993 Valuations and dissections. Zbl 0791.52014 McMullen, Peter 51 1993 Regular maps constructed from linear groups. Zbl 0820.51017 McMullen, Peter; Monson, Barry; Weiss, Asia Ivić 6 1993 Separation in the polytope algebra. Zbl 0780.52015 McMullen, Peter 4 1993 Quasi-periodic tilings of ordinary space. Zbl 0798.52027 McMullen, Peter 1 1993 Locally toroidal regular polytopes of rank 4. Zbl 0784.52016 McMullen, Peter; Schulte, Egon 5 1992 Regular polytopes of type {4,4,3} and {4,4,4}. Zbl 0758.51017 McMullen, P.; Schulte, E. 4 1992 The regular polyhedra of type \(\{p,3\}\) with \(2p\) vertices. Zbl 0773.05056 McMullen, Peter 1 1992 Inequalities between intrinsic volumes. Zbl 0722.52003 McMullen, Peter 13 1991 Regular polyhedra related to projective linear groups. Zbl 0746.52016 McMullen, Peter 7 1991 Finite quotients of infinite universal polytopes. Zbl 0746.51032 McMullen, Peter; Schulte, Egon 2 1991 The order of a finite Coxeter group. Zbl 0736.20022 McMullen, P. 1 1991 Regular polytopes from twisted Coxeter groups and unitary reflexion groups. Zbl 0711.51007 McMullen, Peter; Schulte, Egon 19 1990 Constructions for regular polytopes. Zbl 0689.51009 McMullen, P.; Schulte, E. 16 1990 Hermitian forms and locally toroidal regular polytopes. Zbl 0711.51008 McMullen, Peter; Schulte, Egon 13 1990 Monotone translation invariant valuations on convex bodies. Zbl 0715.52001 McMullen, Peter 2 1990 Facets with fewest vertices. Zbl 0712.52013 Bezdek, A.; Bezdek, K.; Makai, E. jun.; McMullen, P. 1 1990 The polytope algebra. Zbl 0686.52005 McMullen, Peter 43 1989 Realizations of regular polytopes. Zbl 0676.51008 McMullen, Peter 23 1989 Regular polytopes from twisted Coxeter groups. Zbl 0646.51023 McMullen, P.; Schulte, E. 16 1989 Infinite series of combinatorially regular polyhedra in three-space. Zbl 0643.51020 McMullen, P.; Schulte, E.; Wills, J. M. 13 1988 Indecomposable convex polytopes. Zbl 0638.52003 McMullen, Peter 7 1987 Self-dual regular 4-polytopes and their Petrie-Coxeter-polyhedra. Zbl 0649.52005 McMullen, P.; Schulte, E. 5 1987 Volumes of complementary projections of convex polytopes. Zbl 0627.52005 McMullen, Peter 2 1987 Angle-sum relations for polyhedral sets. Zbl 0615.52006 McMullen, Peter 9 1986 Lattice points in lattice polytopes. Zbl 0565.52007 Betke, Ulrich.; McMullen, P. 32 1985 Realizations of regular polytopes. Zbl 0573.51014 McMullen, Peter 3 1985 Two remarks on equivelar manifolds. Zbl 0584.51009 McMullen, P.; Schulz, Ch.; Wills, J. M. 1 1985 Volumes of projections of unit cubes. Zbl 0512.52002 McMullen, Peter 12 1984 Determinants of lattices induced by rational subspaces. Zbl 0512.10023 McMullen, Peter 3 1984 The Hausdorff distance between compact convex sets. Zbl 0556.52006 McMullen, P. 1 1984 Valuations on convex bodies. Zbl 0534.52001 McMullen, Peter; Schneider, Rolf 45 1983 Polyhedral 2-manifolds in \(E^ 3\) with unusually large genus. Zbl 0525.52008 McMullen, P.; Schulz, Ch.; Wills, J. M. 24 1983 Weakly continuous valuations on convex polytopes. Zbl 0526.52003 McMullen, Peter 18 1983 Estimating the sizes of convex bodies from projections. Zbl 0487.52005 Betke, U.; McMullen, P. 13 1983 Equivelar polyhedral manifolds in \(E^ 3\). Zbl 0497.52004 McMullen, P.; Schulz, Ch.; Wills, J. M. 20 1982 The volume of certain convex sets. Zbl 0481.52003 McMullen, P. 3 1982 Convex bodies which tile space. Zbl 0501.51013 McMullen, P. 2 1982 Convex bodies which tile space by translation: Acknowledgement of priority. Zbl 0446.52006 McMullen, P. 8 1981 Complete subgraphs of the graphs of convex polytopes. Zbl 0463.05056 Gallivan, S.; Lockeberg, E. R.; McMullen, P. 2 1981 Minimal width and diameter of lattice-point-free convex bodies. Zbl 0464.52006 McMullen, P.; Wills, J. M. 2 1981 Convex bodies which tile space by translation. Zbl 0432.52016 McMullen, P. 39 1980 Continuous translation invariant valuations on the space of compact convex sets. Zbl 0424.52003 McMullen, P. 32 1980 On Hammer’s X-ray problem. Zbl 0417.52005 Gardner, R. J.; McMullen, P. 26 1980 Transforms, diagrams and representations. Zbl 0445.52006 McMullen, P. 22 1979 Sets homothetic to intersections of their translates. Zbl 0399.52005 McMullen, P. 1 1979 Lattice invariant valuations on rational polytopes. Zbl 0387.52007 McMullen, P. 34 1978 Valuations and Euler-type relations on certain classes of convex polytopes. Zbl 0353.52001 McMullen, P. 102 1977 Constructions for projectively unique polytopes. Zbl 0319.52010 McMullen, P. 21 1976 Polytopes with centrally symmetric facets. Zbl 0333.52004 McMullen, P. 4 1976 Non-linear angle-sum relations for polyhedral cones and polytopes. Zbl 0313.52005 McMullen, P. 67 1975 Space tiling zonotopes. Zbl 0316.52005 McMullen, P. 17 1975 On the inner parallel body of a convex body. Zbl 0307.52004 McMullen, P. 8 1975 A dice probability problem. Zbl 0325.60012 McMullen, P. 5 1975 Metrical and combinatorial properties of convex polytopes. Zbl 0334.52007 McMullen, P. 4 1975 Area preserving homeomorphisms. Zbl 0307.50004 McMullen, P. 1 1975 Monotypic polytopes and their intersection properties. Zbl 0283.52008 McMullen, P.; Schneider, R.; Shephard, Geoffrey C. 11 1974 The number of neighbourly d-polytopes with d+3 vertices. Zbl 0288.52004 McMullen, P. 5 1974 Representations of polytopes and polyhedral sets. Zbl 0273.52006 McMullen, P. 28 1973 The number of simplicial neighbourly d-polytopes with d+3 vertices. Zbl 0284.52001 Altshuler, A.; McMullen, P. 7 1973 Zur Gitterpunktanzahl auf dem Rand konvexer Körper. Zbl 0268.52003 McMullen, P.; Wills, J. M. 2 1973 Arcs with increasing chords. Zbl 0244.52006 Larman, D. G.; McMullen, P. 3 1972 ...and 16 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,216 Authors 60 McMullen, Peter 47 Schulte, Egon 36 Leemans, Dimitri 29 Pellicer, Daniel 21 Hug, Daniel 20 Weiss, Asia Ivić 19 Hubard, Isabel 19 Novik, Isabella 18 Schneider, Rolf G. 18 Wills, Jörg M. 17 Alesker, Semyon 17 Nevo, Eran 16 Bernig, Andreas 15 Cunningham, Gabe 15 Gritzmann, Peter 15 Monson, Barry 13 Fernandes, Maria Elisa 13 Ludwig, Monika 13 Ziegler, Günter Matthias 12 Kalai, Gil 12 Padrol, Arnau 12 Schuster, Franz E. 12 Weil, Wolfgang 11 Kühnel, Wolfgang 11 Pilaud, Vincent 10 Adiprasito, Karim Alexander 10 Hartley, Michael Ian 10 Mixer, Mark D. 10 Williams, Gordon Ian 9 Beck, Matthias 9 Betke, Ulrich 9 Conder, Marston Donald Edward 9 Henk, Martin 9 Lee, Carl W. 9 Parapatits, Lukas 9 Sanyal, Raman 9 Shephard, Geoffrey Colin 9 Stanley, Richard Peter 9 Yost, David T. 8 Billera, Louis J. 8 Chen, Beifang 8 Gardner, Richard J. 8 Joswig, Michael 8 Kleinschmidt, Peter 8 Martini, Horst 8 Wannerer, Thomas 8 Zheng, Hailun 7 Garber, Alexeĭ Igorevich 7 Kabluchko, Zakhar A. 7 Pineda-Villavicencio, Guillermo 7 Sturmfels, Bernd 6 Bayer, Margaret M. 6 Blind, Gerd 6 Blind, Roswitha 6 Colesanti, Andrea 6 Jochemko, Katharina Victoria 6 Khovanskiĭ, Askold Georgievich 6 Klain, Daniel A. 6 Klee, Victor LaRue 6 Oliveros, Deborah 6 Pachner, Udo 6 Ramírez Alfonsín, Jorge Luis 6 Schulz, Christoph 6 Stapledon, Alan 6 Ugon, Julien 6 Zaslavsky, Thomas 5 Ardila, Federico 5 Bagchi, Bhaskar 5 Barvinok, Alexander I. 5 Bokowski, Jürgen G. 5 Brehm, Ulrich 5 Castillo, Federico 5 Datta, Basudeb 5 Dulio, Paolo 5 Esterov, Alexander I. 5 Faifman, Dmitry 5 Gouveia, Joao 5 Grishukhin, Vyacheslav Petrovich 5 Grünbaum, Branko 5 Izmestiev, Ivan 5 Juhnke-Kubitzke, Martina 5 Lev, Nir 5 Liu, Fu 5 Lutwak, Erwin 5 Montero, Antonio 5 Murai, Satoshi 5 Piedade, Claudio Alexandre 5 Reitzner, Matthias 5 Upadhyay, Ashish Kumar 4 Altshuler, Amos 4 Bisztriczky, Tibor 4 Böröczky, Karoly jun. 4 Brooksbank, Peter A. 4 Brunetti, Sara 4 Burton, Benjamin A. 4 Connor, Thomas 4 Cordovil, Raul 4 Daurat, Alain 4 Eckhoff, Jürgen 4 Eur, Christopher ...and 1,116 more Authors all top 5 Cited in 243 Serials 133 Discrete & Computational Geometry 80 Advances in Mathematics 55 Journal of Combinatorial Theory. Series A 52 Mathematika 50 Transactions of the American Mathematical Society 48 Israel Journal of Mathematics 44 European Journal of Combinatorics 41 Discrete Mathematics 22 Advances in Applied Mathematics 22 Journal of Algebraic Combinatorics 21 Monatshefte für Mathematik 19 Beiträge zur Algebra und Geometrie 18 Geometriae Dedicata 17 Proceedings of the American Mathematical Society 15 Journal of Algebra 15 Journal of Functional Analysis 15 SIAM Journal on Discrete Mathematics 14 Archiv der Mathematik 14 Aequationes Mathematicae 14 The Electronic Journal of Combinatorics 14 Séminaire Lotharingien de Combinatoire 13 Discrete Applied Mathematics 13 Linear Algebra and its Applications 12 Combinatorica 12 The Art of Discrete and Applied Mathematics 10 Computational Geometry 9 Inventiones Mathematicae 9 Mathematische Zeitschrift 9 Mathematical Programming. Series A. Series B 9 Advances in Geometry 8 Results in Mathematics 8 Graphs and Combinatorics 8 The Journal of Geometric Analysis 8 Bulletin of the American Mathematical Society. New Series 8 Annals of Combinatorics 7 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 7 Duke Mathematical Journal 7 Journal of Combinatorial Theory. Series B 7 Theoretical Computer Science 7 Geometric and Functional Analysis. GAFA 7 Proceedings of the Steklov Institute of Mathematics 7 Ars Mathematica Contemporanea 7 Algebraic Combinatorics 6 Mathematical Notes 6 Mathematics of Computation 6 Mathematische Annalen 6 Topology and its Applications 6 Journal of the American Mathematical Society 5 The Mathematical Intelligencer 5 Journal of Geometry 5 Tôhoku Mathematical Journal. Second Series 5 St. Petersburg Mathematical Journal 5 Communications in Contemporary Mathematics 4 Journal of Mathematical Analysis and Applications 4 Journal of Pure and Applied Algebra 4 Optimization 4 Journal of Symbolic Computation 4 Probability Theory and Related Fields 4 Algorithmica 4 SIAM Journal on Optimization 4 Experimental Mathematics 4 Selecta Mathematica. New Series 4 Representation Theory 4 Journal of Group Theory 4 Journal of the European Mathematical Society (JEMS) 4 Oberwolfach Reports 3 Information Processing Letters 3 Linear and Multilinear Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 The Annals of Statistics 3 Automatica 3 Bulletin of the London Mathematical Society 3 Canadian Journal of Mathematics 3 Canadian Mathematical Bulletin 3 Functional Analysis and its Applications 3 Mathematical Programming 3 Memoirs of the American Mathematical Society 3 Journal of Global Optimization 3 Expositiones Mathematicae 3 Journal of Mathematical Imaging and Vision 3 Journal of Mathematical Chemistry 3 Annals of Mathematics. Second Series 3 Bulletin of the American Mathematical Society 3 Contributions to Discrete Mathematics 3 Symmetry 3 Discrete Analysis 2 The Canadian Journal of Statistics 2 Communications in Algebra 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Periodica Mathematica Hungarica 2 Rocky Mountain Journal of Mathematics 2 Studia Mathematica 2 American Journal of Mathematics 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Journal of Graph Theory ...and 143 more Serials all top 5 Cited in 53 Fields 996 Convex and discrete geometry (52-XX) 286 Combinatorics (05-XX) 200 Geometry (51-XX) 108 Algebraic geometry (14-XX) 105 Group theory and generalizations (20-XX) 103 Manifolds and cell complexes (57-XX) 86 Computer science (68-XX) 71 Operations research, mathematical programming (90-XX) 64 Differential geometry (53-XX) 61 Commutative algebra (13-XX) 60 Number theory (11-XX) 55 Probability theory and stochastic processes (60-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 25 Algebraic topology (55-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 23 Real functions (26-XX) 21 Numerical analysis (65-XX) 20 Statistics (62-XX) 19 Several complex variables and analytic spaces (32-XX) 19 Functional analysis (46-XX) 17 Topological groups, Lie groups (22-XX) 16 Measure and integration (28-XX) 15 Information and communication theory, circuits (94-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Category theory; homological algebra (18-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Nonassociative rings and algebras (17-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 9 Associative rings and algebras (16-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Quantum theory (81-XX) 9 Systems theory; control (93-XX) 8 General and overarching topics; collections (00-XX) 8 Abstract harmonic analysis (43-XX) 8 Integral transforms, operational calculus (44-XX) 8 Biology and other natural sciences (92-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Mathematical logic and foundations (03-XX) 5 Field theory and polynomials (12-XX) 5 \(K\)-theory (19-XX) 5 Functions of a complex variable (30-XX) 5 Partial differential equations (35-XX) 4 Operator theory (47-XX) 3 Approximations and expansions (41-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-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.