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Grünbaum, Branko

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Author ID: grunbaum.branko Recent zbMATH articles by "Grünbaum, Branko"
Published as: Grünbaum, B.; Grünbaum, Branko
Homepage: https://sites.math.washington.edu/~grunbaum/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 272 Publications since 1955, including 11 Books
Biographic References: 14 Publications
all top 5

Serials

55 Geombinatorics
11 American Mathematical Monthly
10 Mathematics Magazine
9 Israel Journal of Mathematics
9 Pacific Journal of Mathematics
8 Discrete Mathematics
5 Geometriae Dedicata
5 Discrete & Computational Geometry
5 Journal of the London Mathematical Society
4 Colloquium Mathematicum
4 Proceedings of the American Mathematical Society
4 Ars Mathematica Contemporanea
3 The Mathematical Gazette
3 Commentarii Mathematici Helvetici
3 Journal of Combinatorial Theory. Series A
3 Journal of the London Mathematical Society. Second Series
3 Transactions of the American Mathematical Society
3 Topologie Structurale
3 Aequationes Mathematicae
2 The Mathematical Intelligencer
2 Beiträge zur Algebra und Geometrie
2 Archiv der Mathematik
2 Canadian Journal of Mathematics
2 Journal of Combinatorial Theory. Series B
2 Journal of Geometry
2 Mathematika
2 Michigan Mathematical Journal
2 Portugaliae Mathematica
2 Comptes Rendus Mathématiques de l’Académie des Sciences
2 European Journal of Combinatorics
2 Combinatorica
2 L’Enseignement Mathématique. 2e Série
2 Notices of the American Mathematical Society
2 The Electronic Journal of Combinatorics
2 Proceedings of the Cambridge Philosophical Society
2 Bulletin of the American Mathematical Society
2 Journal of Combinatorial Theory
2 Contributions to Discrete Mathematics
2 Graduate Texts in Mathematics
2 Regional Conference Series in Mathematics
2 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Zeitschrift für Kristallographie
1 Acta Mathematica
1 Ars Combinatoria
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Czechoslovak Mathematical Journal
1 Journal of Graph Theory
1 Kiberneticheskiĭ Sbornik. Novaya Seriya
1 Mathematica Scandinavica
1 Mathematische Zeitschrift
1 Networks
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Studia Scientiarum Mathematicarum Hungarica
1 Elemente der Mathematik
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Bulletin of the Institute of Combinatorics and its Applications
1 Differential Equations and Dynamical Systems
1 Graduate Studies in Mathematics
1 The College Mathematics Journal
1 Archimede
1 ISRN Geometry
1 Anais da Academia Brasileira de Ciências

Publications by Year

Citations contained in zbMATH Open

197 Publications have been cited 3,709 times in 2,867 Documents Cited by Year
Convex polytopes. With the cooperation of Victor Klee, M. A. Perles, and G. C. Shephard. Zbl 0163.16603
Grünbaum, Branko
633
1967
Tilings and patterns. Zbl 0601.05001
Grünbaum, Branko; Shephard, G. C.
301
1987
Helly’s theorem and its relatives. Zbl 0132.17401
Danzer, L.; Grünbaum, Branko; Klee, V.
279
1963
Acyclic colorings of planar graphs. Zbl 0265.05103
Grünbaum, Branko
187
1973
Arrangements and spreads. Zbl 0249.50011
Grünbaum, Branko
111
1972
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1033.52001
Grünbaum, Branko
105
2003
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001
Grünbaum, Branko
97
2003
Polytopes, graphs, and complexes. Zbl 0211.25001
Grünbaum, B.
83
1970
Partitions of mass-distributions and of convex bodies by hyperplanes. Zbl 0101.14603
Grünbaum, Branko
63
1960
Measures of symmetry for convex sets. Zbl 0142.20503
Grünbaum, Branko
62
1963
Shortness exponents of families of graphs. Zbl 0263.05103
Grünbaum, Branko; Walther, Hansjoachim
56
1973
An enumeration of simplicial 4-polytopes with 8 vertices. Zbl 0156.43304
Grünbaum, Branko; Sreedharan, V. P.
56
1967
The number of faces of convex polytopes. Zbl 0152.20602
Grünbaum, Branko
56
1967
Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee. Zbl 0188.27602
Danzer, L.; Grünbaum, Branko
47
1962
Helly’s theorem and its relatives. Zbl 0169.24601
Danzer, L.; Grünbaum, Branko; Klee, V.
46
1968
The number of hexagons and the simplicity of geodesics on certain polyhedra. Zbl 0121.37605
Grünbaum, Branko; Motzkin, T. S.
45
1963
Configurations of points and lines. Zbl 1205.51003
Grünbaum, Branko
39
2009
Regular polyhedra - old and new. Zbl 0381.51012
Grünbaum, Branko
37
1977
Polytopal graphs. Zbl 0323.05104
Grünbaum, Branko
36
1975
Projection constants. Zbl 0095.09002
Grünbaum, Branko
35
1960
Grötzsch’s theorem on 3-colorings. Zbl 0115.40903
Grünbaum, Branko
32
1963
Aperiodic tiles. Zbl 0758.52013
Ammann, Robert; Grünbaum, Branko; Shephard, G. C.
31
1992
On Steinitz’s theorem concerning convex 3-polytopes and on some properties of planar graphs. Zbl 0194.25003
Barnette, D. W.; Grünbaum, Branko
31
1969
On a coloring problem. Zbl 0095.17002
Asplund, E.; Grünbaum, Branko
31
1960
On a conjecture of H. Hadwiger. Zbl 0131.20003
Grünbaum, Branko
29
1961
Pairs of edge-disjoint Hamiltonian circuits. Zbl 0331.05118
Grünbaum, Branko; Malkevitch, Joseph
27
1976
Borsuk’s problem and related questions. Zbl 0151.29101
Grünbaum, Branko
26
1963
On common transversals. Zbl 0083.17204
Grünbaum, Branko
26
1958
Satins and twills: An introduction to the geometry of fabrics. Zbl 0462.05025
Grünbaum, Branko; Shephard, Geoffrey C.
24
1980
A catalogue of simplicial arrangements in the real projective plane. Zbl 1177.51020
Grünbaum, Branko
23
2009
On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022
Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume
23
1998
Some semicontinuity theorems for convex polytopes and cell-complexes. Zbl 0137.41802
Eggleston, H. G.; Grünbaum, Branko; Klee, V.
22
1964
Tilings and patterns. An introduction. Zbl 0746.52001
Grünbaum, Branko; Shephard, Geoffrey Colin
21
1989
The orchard problem. Zbl 0311.05024
Burr, Stefan A.; Grünbaum, Branko; Sloane, N. J. A.
21
1974
The existence of certain planar maps. Zbl 0298.05112
Grünbaum, Branko; Zaks, Joseph
21
1974
Some analogues of Eberhard’s theorem on convex polytopes. Zbl 0174.53702
Grünbaum, Branko
21
1969
The eighty-one types of isohedral tilings in the plane. Zbl 0362.05054
Grünbaum, Branko; Shephard, Geoffrey C.
20
1977
Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026
Grünbaum, Branko; Shephard, Geoffrey C.
19
1982
Matchings in polytopal graphs. Zbl 0294.05104
Grünbaum, B.
19
1974
Vertices missed by longest paths or circuits. Zbl 0259.05120
Grünbaum, Branko
17
1974
Convex polytopes. Zbl 0183.26901
Grünbaum, Branko; Shephard, Geoffrey C.
17
1969
Tilings with congruent tiles. Zbl 0463.51019
Grünbaum, Branko; Shephard, Geoffrey C.
16
1980
New views on some old questions of combinatorial geometry. Zbl 0347.52004
Grünbaum, Branko
16
1976
Venn diagrams and independent families of sets. Zbl 0305.05004
Grünbaum, Branko
16
1975
Antidirected Hamiltonian paths in tournaments. Zbl 0198.29304
Grünbaum, B.
16
1971
Strictly antipodal sets. Zbl 0192.26604
Grünbaum, Branko
16
1963
Pick’s theorem. Zbl 0776.52005
Grünbaum, Branko; Shephard, G. C.
15
1993
Intersection properties of boxes in \(R^ n\). Zbl 0513.52009
Danzer, Ludwig; Grünbaum, Branko
15
1982
Arrangements of hyperplanes. Zbl 0289.52004
Grünbaum, Branko
15
1971
Preassigning the shape of a face. Zbl 0193.22501
Barnette, D. W.; Grünbaum, Branko
14
1970
Graßmann angles of convex polytopes. Zbl 0181.25104
Grünbaum, Branko
14
1968
A simple proof of Borsuk’s conjecture in three dimensions. Zbl 0073.39201
Grünbaum, Branko
14
1957
Arrangements and spreads. Reprint. Zbl 0475.51005
Grünbaum, Branko
13
1980
A generalization of theorems of Kirszbraun and Minty. Zbl 0129.09202
Grünbaum, Branko
13
1962
On the geometry of Minkowski planes. Zbl 0102.36804
Asplund, E.; Grünbaum, Branko
13
1961
Some applications of expansion constants. Zbl 0094.09002
Grünbaum, Branko
13
1960
On intersections of similar sets. Zbl 0096.16702
Grünbaum, Branko
13
1959
Planar maps with prescribed types of vertices and faces. Zbl 0186.27502
Grünbaum, Branko
12
1969
On some covering and intersection properties in Minkowski spaces. Zbl 0086.15203
Grünbaum, Branko
12
1959
Small triangle-free configurations of points and lines. Zbl 1109.05029
Boben, Marko; Grünbaum, Branko; Pisanski, Tomaž; Žitnik, Arjana
11
2006
The real configuration \((21_ 4)\). Zbl 0721.51013
Grünbaum, Branko; Rigby, J. F.
11
1990
Tilings by regular polygons. Zbl 0385.51006
Grünbaum, Branko; Shephard, Geoffrey C.
11
1977
Longest simple paths on polyhedral graphs. Zbl 0106.16802
Grünbaum, Branko; Motzkin, T. S.
11
1962
Polyhedra with hollow faces. Zbl 0808.52008
Grünbaum, Branko
10
1994
Edge-transitive planar graphs. Zbl 0643.05038
Grünbaum, Branko; Shephard, G. C.
10
1987
Some problems on polyhedra. Zbl 0618.52004
Grünbaum, Branko; Shephard, Geoffrey C.
10
1987
Addition and decomposition of convex polytopes. Zbl 0131.20102
Firey, W. J.; Grünbaum, Branko
10
1964
Self-circumference of convex sets. Zbl 0123.15701
Grünbaum, Branko
10
1964
On components in some families of sets. Zbl 0106.01001
Grünbaum, Branko; Mitzkin, Theodore S.
10
1961
Self-duality groups and ranks of self-dualities. Zbl 0752.52003
Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter
9
1991
Is selfduality involutory? Zbl 0658.52004
Grünbaum, Branko; Shephard, G. C.
9
1988
Polyhedra with transitivity properties. Zbl 0528.52009
Grünbaum, Branko; Shephard, Geoffrey C.
9
1984
Nerves of simplicial complexes. Zbl 0193.52903
Grünbaum, Branko
9
1970
Common transversals for families of sets. Zbl 0098.35503
Grünbaum, Branko
9
1960
A proof of Vazsonyi’s conjecture. Zbl 0074.36304
Grünbaum, Branko
9
1956
Acoptic polyhedra. Zbl 0927.52016
Grünbaum, Branko
8
1999
Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012
Grünbaum, Branko; Shephard, G. C.
8
1990
Regularity of graphs, complexes and designs. Zbl 0419.05017
Grünbaum, Branko
8
1978
Higher-dimensional analogs of the four-color problem and some inequalities for simplicial complexes. Zbl 0199.27204
Grünbaum, Branko
8
1970
Some results on the upper bound conjecture for convex polytopes. Zbl 0187.44202
Grünbaum, Branko
8
1969
The perimeter of Minkowski unit discs. Zbl 0141.20001
Grünbaum, Branko
8
1966
On the facial structure of convex polytopes. Zbl 0137.18002
Grünbaum, Branko
8
1965
Fixing systems and inner illumination. Zbl 0132.17303
Grünbaum, Branko
8
1964
On polyhedral graphs. Zbl 0137.42902
Grünbaum, Branko; Motzkin, T. S.
8
1963
Topological configurations \((n_4)\) exist for all \(n\geq 17\). Zbl 1205.52017
Bokowski, Jürgen; Grünbaum, Branko; Schewe, Lars
7
2009
Ceva, Menelaus, and the area principle. Zbl 0869.51007
Grünbaum, Branko; Shephard, G. C.
7
1995
Are these figures oxymora? Zbl 0781.05010
Dorwart, Harold L.; Grünbaum, Branko
7
1992
A hierarchy of classification methods for patterns. Zbl 0565.05018
Grünbaum, Branko; Shephard, Geoffrey C.
7
1981
Isohedral tilings of the plane by polygons. Zbl 0392.05020
Grünbaum, Branko; Shephard, Geoffrey C.
7
1978
Continuous families of curves. Zbl 0142.20404
Grünbaum, Branko
7
1966
An enduring error. Zbl 1176.52002
Grünbaum, Branko
6
2009
Uniform tilings of \(3\)-space. Zbl 0844.52022
Grünbaum, Branko
6
1994
Astral \((n_ k)\) configurations. Zbl 0845.51010
Grünbaum, Branko
6
1993
An extension to the catalogue of isonemal fabrics. Zbl 0598.52011
Grünbaum, Branko; Shephard, Geoffrey C.
6
1986
Simplicial arrangements in projective 3-space. Zbl 0558.51001
Grünbaum, Branko; Shephard, Geoffrey C.
6
1984
Isotoxal tilings. Zbl 0393.51010
Grünbaum, Branko; Shephard, Geoffrey C.
6
1978
Intersecting all edges of centrally symmetric polyhedra by planes. Zbl 0261.52005
Grünbaum, Branko
6
1973
The importance of being straight. Zbl 0225.50016
Grünbaum, Branko
6
1970
Imbeddings of simplicial complexes. Zbl 0188.28604
Grünbaum, Branko
6
1969
The dimension of intersections of convex sets. Zbl 0131.19903
Grünbaum, Branko
6
1962
Multilaterals in configurations. Zbl 1260.05027
Boben, Marko; Grünbaum, Branko; Pisanski, Tomaž
2
2013
Simplicial arrangements revisited. Zbl 1314.51008
Grünbaum, Branko
1
2013
Polygons: Meister was right and Poinsot was wrong but prevailed. Zbl 1239.52001
Grünbaum, Branko
3
2012
Is Napoleon’s theorem really Napoleon’s theorem? Zbl 1264.01010
Grünbaum, Branko
2
2012
The Bilinski dodecahedron and assorted parallelohedra, zonohedra, monohedra, isozonohedra, and otherhedra. Zbl 1234.52008
Grünbaum, Branko
1
2010
Deletion constructions of symmetric 4-configurations. I. Zbl 1195.51004
Berman, Leah Wrenn; Grünbaum, Branko
1
2010
Configurations of points and lines. Zbl 1205.51003
Grünbaum, Branko
39
2009
A catalogue of simplicial arrangements in the real projective plane. Zbl 1177.51020
Grünbaum, Branko
23
2009
Topological configurations \((n_4)\) exist for all \(n\geq 17\). Zbl 1205.52017
Bokowski, Jürgen; Grünbaum, Branko; Schewe, Lars
7
2009
An enduring error. Zbl 1176.52002
Grünbaum, Branko
6
2009
Geometric realizations of special toroidal complexes. Zbl 1235.52026
Grünbaum, Branko; Szilassi, Lajos
1
2009
Geometric “floral” configurations. Zbl 1180.51003
Berman, Leah Wrenn; Bokowski, Jürgen; Grünbaum, Branko; Pisanski, Tomaž
1
2009
Equipartite graphs. Zbl 1159.05044
Grünbaum, Branko; Kaiser, Tomáš; Král’, Daniel; Rosenfeld, Moshe
3
2008
Musings on an example of Danzer’s. Zbl 1160.51002
Grünbaum, Branko
3
2008
Graphs of polyhedra; polyhedra as graphs. Zbl 1111.51018
Grünbaum, Branko
2
2007
Small triangle-free configurations of points and lines. Zbl 1109.05029
Boben, Marko; Grünbaum, Branko; Pisanski, Tomaž; Žitnik, Arjana
11
2006
Configurations of points and lines. Zbl 1105.52013
Grünbaum, Branko
4
2006
Euler’s ratio-sum theorem and generalizations. Zbl 1149.51004
Grünbaum, Branko; Klamkin, Murray S.
2
2006
Are prisms and antiprisms really boring? III. Zbl 1094.52007
Grünbaum, Branko
1
2005
Are prisms and antiprisms really boring? I. Zbl 1050.51012
Grünbaum, Branko
1
2004
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1033.52001
Grünbaum, Branko
105
2003
Convex polytopes. Prepared by Volker Kaibel, Victor Klee, and Günter M. Ziegler. 2nd ed. Zbl 1024.52001
Grünbaum, Branko
97
2003
Are your polyhedra the same as my polyhedra? Zbl 1080.52505
Grünbaum, Branko
5
2003
“New” uniform polyhedra. Zbl 1062.52001
Grünbaum, Branko
3
2003
(1-2-3)-complexes. Zbl 1045.52004
Grünbaum, Branko
1
2003
Connected \((n_4)\) configurations exist for almost all \(n\) – an update. Zbl 1116.52302
Grünbaum, Branko
4
2002
No-net polyhedra. Zbl 1010.52010
Grünbaum, Branko
3
2002
Convexification of polygons by flips and by flipturns. Zbl 0997.52003
Grünbaum, Branko; Zaks, Joseph
5
2001
A relative of “Napoleon’s theorem”. Zbl 0979.51008
Grünbaum, Branko
3
2001
A starshaped polyhedron with no net. Zbl 0998.52008
Grünbaum, Branko
1
2001
Astral \((n_4)\) configurations. Zbl 0981.51014
Grünbaum, Branko
5
2000
Connected (n4) configurations exist for almost all n. Zbl 0966.51012
Grünbaum, Branko
1
2000
Parallelogram-faced isohedra with edges in mirror-planes. Zbl 0969.52003
Grünbaum, Branko
1
2000
Which \((n_4)\) configurations exist? Zbl 0964.51011
Grünbaum, Branko
1
2000
Acoptic polyhedra. Zbl 0927.52016
Grünbaum, Branko
8
1999
Monochromatic intersection points in families of colored lines. Zbl 0948.52013
Grünbaum, Branko
5
1999
The search for symmetric Venn diagrams. Zbl 0929.52007
Grünbaum, Branko
3
1999
On the number of invariant straight lines for polynomial differential systems. Zbl 0930.34022
Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume
23
1998
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
Face-transitive polyhedra with rectangular faces. Zbl 0926.52012
Coxeter, H. S. M.; Grünbaum, Branko
2
1998
Realizations of symmetric maps by symmetric polyhedra. Zbl 0917.52011
Grünbaum, Branko
1
1998
Isogonal prismatoids. Zbl 0880.51012
Grünbaum, Branko
4
1997
Ceva, Menelaus, and selftransversality. Zbl 0883.52005
Grünbaum, Branko; Shephard, G. C.
4
1997
On the invariant straight lines of polynomial differential systems. Zbl 0903.34027
Artés, Joan C.; Grünbaum, Branko; Llibre, Jaume
2
1997
A new Ceva-type theorem. Zbl 0882.51012
Grünbaum, Branko; Shephard, G. C.
2
1996
Ceva, Menelaus, and the area principle. Zbl 0869.51007
Grünbaum, Branko; Shephard, G. C.
7
1995
How to convexify a polygon. Zbl 0866.52001
Grünbaum, Branko
3
1995
Polyhedra with hollow faces. Zbl 0808.52008
Grünbaum, Branko
10
1994
Uniform tilings of \(3\)-space. Zbl 0844.52022
Grünbaum, Branko
6
1994
Hamiltonian polygons and polyhedra. Zbl 0845.05066
Grünbaum, Branko
3
1994
A new look at Euler’s theorem for polyhedra. Zbl 0807.52010
Grünbaum, Branko; Shephard, G. C.
2
1994
Quadrangles, pentagons, and computers, revisited. Zbl 0845.51014
Grünbaum, Branko
1
1994
Pick’s theorem. Zbl 0776.52005
Grünbaum, Branko; Shephard, G. C.
15
1993
Astral \((n_ k)\) configurations. Zbl 0845.51010
Grünbaum, Branko
6
1993
Quadrangles, pentagons, and computers. Zbl 0845.51013
Grünbaum, Branko
2
1993
Aperiodic tiles. Zbl 0758.52013
Ammann, Robert; Grünbaum, Branko; Shephard, G. C.
31
1992
Are these figures oxymora? Zbl 0781.05010
Dorwart, Harold L.; Grünbaum, Branko
7
1992
Venn diagrams. II. Zbl 0851.52009
Grünbaum, Branko
2
1992
Interlace patterns in Islamic and Moorish art. Zbl 0804.52012
Grünbaum, Branko; Shephard, G. C.
2
1992
Self-duality groups and ranks of self-dualities. Zbl 0752.52003
Ashley, Jonathan; Grünbaum, Branko; Shephard, G. C.; Stromquist, Walter
9
1991
Nets of polyhedra. II. Zbl 0845.51019
Grünbaum, Branko
3
1991
Descartes’ theorem in \(n\) dimensions. Zbl 0738.52010
Grünbaum, Branko; Shephard, G. C.
3
1991
Nets of polyhedra. Zbl 0845.51018
Grünbaum, Branko
1
1991
Odd polyhedra. Zbl 0843.52008
Grünbaum, Branko
1
1991
The real configuration \((21_ 4)\). Zbl 0721.51013
Grünbaum, Branko; Rigby, J. F.
11
1990
Rotation and winding numbers for planar polygons and curves. Zbl 0722.51012
Grünbaum, Branko; Shephard, G. C.
8
1990
Tilings and patterns. An introduction. Zbl 0746.52001
Grünbaum, Branko; Shephard, Geoffrey Colin
21
1989
Is selfduality involutory? Zbl 0658.52004
Grünbaum, Branko; Shephard, G. C.
9
1988
Isonemal fabrics. Zbl 0645.51020
Grünbaum, Branko; Shephard, G. C.
5
1988
The edge-density of 4-critical planar graphs. Zbl 0810.05028
Grünbaum, B.
4
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.
301
1987
Edge-transitive planar graphs. Zbl 0643.05038
Grünbaum, Branko; Shephard, G. C.
10
1987
Some problems on polyhedra. Zbl 0618.52004
Grünbaum, Branko; Shephard, Geoffrey C.
10
1987
A dual of Descartes’ theorem on polyhedra. Zbl 0631.52007
Grünbaum, Branko; Shephard, G. C.
3
1987
Equitransitive tilings, or how to discover new mathematics. Zbl 0618.52011
Danzer, Ludwig; Grünbaum, Branko; Shephard, G. C.
1
1987
An extension to the catalogue of isonemal fabrics. Zbl 0598.52011
Grünbaum, Branko; Shephard, Geoffrey C.
6
1986
Circular disk patterns on a sphere. Zbl 0561.52004
Grünbaum, Branko; Shephard, Geoffrey C.
1
1986
A catalogue of isonemal fabrics. Zbl 0569.51007
Grünbaum, Branko; Shephard, Geoffrey C.
5
1985
The enumeration of normal 2-homeohedral tilings. Zbl 0572.52024
Grünbaum, Branko; Löckenhoff, H.-D.; Shephard, Geoffrey C.; Temesvári, Á. H.
2
1985
Symmetry groups of knots. Zbl 0585.51012
Grünbaum, Branko; Shephard, Geoffrey C.
1
1985
Polyhedra with transitivity properties. Zbl 0528.52009
Grünbaum, Branko; Shephard, Geoffrey C.
9
1984
Simplicial arrangements in projective 3-space. Zbl 0558.51001
Grünbaum, Branko; Shephard, Geoffrey C.
6
1984
Tiling three-dimensional space with polyhedral tiles of a given isomorphism type. Zbl 0533.52006
Grünbaum, Branko; Mani-Levitska, Peter; Shephard, Geoffrey C.
5
1984
The Emperor’s new clothes: full regalia, G string, or nothing? Zbl 0561.52014
Grünbaum, Branko
2
1984
The geometry of fabrics. Zbl 0559.05016
Grünbaum, Branko; Shephard, Geoffrey C.
1
1984
The construction of Venn diagrams. Zbl 0995.03510
Grünbaum, Branko
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.
4
1983
The 2-homeotoxal tilings of the plane and the 2-sphere. Zbl 0491.05022
Grünbaum, Branko; Shephard, Geoffrey C.
2
1983
Analogues for tilings of Kotzig’s theorem on minimal weights of edges. Zbl 0504.05026
Grünbaum, Branko; Shephard, Geoffrey C.
19
1982
Intersection properties of boxes in \(R^ n\). Zbl 0513.52009
Danzer, Ludwig; Grünbaum, Branko
15
1982
The geometric vein. The Coxeter Festschrift. Zbl 0488.00015
Davis, Chandler (ed.); Grünbaum, Branko (ed.); Sherk, F. A. (ed.)
4
1982
The theorems of Euler and Eberhard for tilings of the plane. Zbl 0505.52004
Grünbaum, Branko; Shephard, Geoffrey C.
3
1982
Spherical tilings with transitivity properties. Zbl 0501.51012
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.
3
1981
Some remarks on Fedotov’s paper on discrete chronogeometry. Zbl 0477.05026
Grünbaum, Branko; Shephard, Geoffrey C.
2
1981
Patterns on the 2-sphere. Zbl 0449.05010
Grünbaum, Branko; Shephard, Geoffrey C.
1
1981
...and 97 more Documents
all top 5

Cited by 2,918 Authors

42 Grünbaum, Branko
36 Borodin, Oleg Veniaminovich
36 Jendrol’, Stanislav
32 Martini, Horst
30 McMullen, Peter
27 Barnette, David W.
26 Raspaud, André
24 Breen, Marilyn
24 Ivanova, Anna Olegovna
24 Zaks, Joseph
22 Schulte, Egon
22 Shephard, Geoffrey Colin
21 Bokowski, Jürgen G.
18 Bárány, Imre
16 Chen, Min
16 Klee, Victor LaRue
16 Ziegler, Günter Matthias
15 Katchalski, Meir
15 Wang, Wei-Fan
14 Kalai, Gil
14 Pach, János
14 Soltan, Valeriu
14 Sturmfels, Bernd
14 Swanepoel, Konrad J.
13 Deza, Michel Marie
13 Jucovic, Ernest
13 Thomassen, Carsten
12 Altshuler, Amos
12 Gritzmann, Peter
12 Kostochka, Aleksandr Vasil’evich
12 Mohar, Bojan
12 Pisanski, Tomaž
12 Rosenfeld, Moshe
11 Edelsbrunner, Herbert
11 Goodman, Jacob Eli
11 Kleinschmidt, Peter
11 Pollack, Richard M.
10 Billera, Louis J.
10 Liu, Guizhen
10 Llibre, Jaume
10 Oliveros, Deborah
10 Vulpe, Nicolae I.
10 Wetzel, John E.
9 Alon, Noga M.
9 Bezdek, Károly
9 Bisztriczky, Tibor
9 Böröczky, Karoly jun.
9 Harant, Jochen
9 Lassak, Marek
9 Pellicer, Daniel
9 Schneider, Rolf G.
9 Spirova, Margarita Georgieva
9 Tkáč, Michal
9 Walther, Hansjoachim
9 Wills, Jörg M.
9 Zamfirescu, Tudor I.
8 Blind, Gerd
8 Boltyanskij, Vladimir Grigor’evich
8 Cuntz, Michael Joachim
8 Dillencourt, Michael B.
8 Došlić, Tomislav
8 Goaoc, Xavier
8 Gruber, Peter Manfred
8 Kawarabayashi, Ken-ichi
8 Kühnel, Wolfgang
8 Montejano Peimbert, Luis
8 Naszódi, Márton
8 Owens, Peter John
8 Perles, Micha A.
8 Plummer, Michael D.
8 Schulz, Christoph
8 Sharir, Micha
8 Walczak, Bartosz
8 Živaljević, Rade T.
7 Berman, Leah Wrenn
7 Blind, Roswitha
7 Cordovil, Raul
7 Coxeter, Harold Scott MacDonald
7 Dekster, Boris V.
7 Ewald, Günter
7 Frettlöh, Dirk
7 Hou, Jianfeng
7 Jamison, Robert E.
7 Karasev, Roman N.
7 Kołodziejczyk, Krzysztof
7 Larman, David G.
7 Lawrence, James
7 Lewis, Ted G.
7 Ozeki, Kenta
7 Purdy, George B.
7 Reay, John R.
7 Roudneff, Jean-Pierre
7 Santos, Francisco
7 Senechal, Marjorie Wikler
7 Watkins, Mark E.
7 Welzl, Emo
7 Wu, Jian-Liang
7 Zamfirescu, Carol T.
7 Zhang, Heping
6 Akiyama, Shigeki
...and 2,818 more Authors
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Cited in 371 Serials

348 Discrete Mathematics
254 Discrete & Computational Geometry
100 Journal of Combinatorial Theory. Series A
97 Israel Journal of Mathematics
90 Discrete Applied Mathematics
84 European Journal of Combinatorics
71 Journal of Combinatorial Theory. Series B
60 Geometriae Dedicata
55 Proceedings of the American Mathematical Society
50 Transactions of the American Mathematical Society
46 Linear Algebra and its Applications
42 Computational Geometry
38 Advances in Mathematics
38 Journal of Graph Theory
38 Theoretical Computer Science
37 Journal of Geometry
36 Graphs and Combinatorics
35 Mathematical Notes
34 Beiträge zur Algebra und Geometrie
32 Aequationes Mathematicae
29 Mathematika
28 Information Processing Letters
28 Archiv der Mathematik
27 Monatshefte für Mathematik
26 Journal of Mathematical Analysis and Applications
26 The Mathematical Intelligencer
22 Mathematische Annalen
20 Periodica Mathematica Hungarica
20 Journal of Mathematical Chemistry
19 Combinatorica
17 Results in Mathematics
17 Topology and its Applications
17 Bulletin of the American Mathematical Society. New Series
14 Computers & Mathematics with Applications
13 Mathematica Slovaca
13 Acta Mathematica Hungarica
12 Mathematische Zeitschrift
11 Inventiones Mathematicae
11 Siberian Mathematical Journal
11 SIAM Journal on Discrete Mathematics
11 Geometry & Topology
11 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
10 Communications in Mathematical Physics
10 Journal of Optimization Theory and Applications
10 Advances in Applied Mathematics
10 Expositiones Mathematicae
9 Journal of Statistical Physics
9 Journal of Functional Analysis
9 Mathematical Programming
8 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
8 Journal of Algebra
8 Mathematische Nachrichten
8 Synthese
8 Acta Mathematica Sinica. English Series
8 Bulletin of the American Mathematical Society
7 Bulletin of the Australian Mathematical Society
7 Acta Mathematica
7 Applied Mathematics and Computation
7 Journal of Computer and System Sciences
7 Journal of Soviet Mathematics
7 Algorithmica
7 European Journal of Operational Research
7 Indagationes Mathematicae. New Series
7 Journal of Algebraic Combinatorics
6 American Mathematical Monthly
6 Journal of Mathematical Physics
6 Rocky Mountain Journal of Mathematics
6 Annales de l’Institut Fourier
6 Journal of Approximation Theory
6 Journal of Mathematical Psychology
6 Journal of Symbolic Computation
6 Applied Mathematics Letters
6 Elemente der Mathematik
6 Mathematical Programming. Series A. Series B
6 Journal of Mathematical Sciences (New York)
6 Journal of Combinatorial Optimization
6 Annals of Combinatorics
6 Advances in Geometry
6 Proceedings of the Steklov Institute of Mathematics
6 Science China. Mathematics
5 Ukrainian Mathematical Journal
5 Czechoslovak Mathematical Journal
5 SIAM Journal on Algebraic and Discrete Methods
5 Computer Aided Geometric Design
5 International Journal of Computational Geometry & Applications
5 Journal of Global Optimization
5 Nexus Network Journal
5 Qualitative Theory of Dynamical Systems
5 Algebraic & Geometric Topology
5 Journal of Mathematics and the Arts
5 Discrete Mathematics, Algorithms and Applications
5 Acta Crystallographica. Section A
5 Symmetry
4 Journal of the Franklin Institute
4 Mathematics of Computation
4 Chaos, Solitons and Fractals
4 The Annals of Probability
4 Duke Mathematical Journal
4 Numerical Functional Analysis and Optimization
4 Semigroup Forum
...and 271 more Serials
all top 5

Cited in 57 Fields

1,401 Convex and discrete geometry (52-XX)
1,131 Combinatorics (05-XX)
293 Geometry (51-XX)
261 Computer science (68-XX)
155 Manifolds and cell complexes (57-XX)
147 Operations research, mathematical programming (90-XX)
100 Group theory and generalizations (20-XX)
96 Functional analysis (46-XX)
81 Algebraic geometry (14-XX)
68 Probability theory and stochastic processes (60-XX)
59 Number theory (11-XX)
59 Dynamical systems and ergodic theory (37-XX)
55 Differential geometry (53-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
45 Order, lattices, ordered algebraic structures (06-XX)
43 Numerical analysis (65-XX)
43 Statistical mechanics, structure of matter (82-XX)
41 Biology and other natural sciences (92-XX)
38 Measure and integration (28-XX)
34 History and biography (01-XX)
34 Commutative algebra (13-XX)
32 General topology (54-XX)
32 Algebraic topology (55-XX)
30 Mathematical logic and foundations (03-XX)
30 Operator theory (47-XX)
28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Information and communication theory, circuits (94-XX)
27 General and overarching topics; collections (00-XX)
26 Ordinary differential equations (34-XX)
24 Several complex variables and analytic spaces (32-XX)
21 Statistics (62-XX)
20 Real functions (26-XX)
18 Approximations and expansions (41-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
16 Quantum theory (81-XX)
15 Relativity and gravitational theory (83-XX)
15 Systems theory; control (93-XX)
11 Mechanics of particles and systems (70-XX)
10 Field theory and polynomials (12-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Category theory; homological algebra (18-XX)
7 Topological groups, Lie groups (22-XX)
7 Partial differential equations (35-XX)
6 Functions of a complex variable (30-XX)
6 Mechanics of deformable solids (74-XX)
6 Mathematics education (97-XX)
5 Associative rings and algebras (16-XX)
5 Potential theory (31-XX)
5 Abstract harmonic analysis (43-XX)
4 General algebraic systems (08-XX)
4 Nonassociative rings and algebras (17-XX)
4 Difference and functional equations (39-XX)
3 Special functions (33-XX)
2 \(K\)-theory (19-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Geophysics (86-XX)

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