Branko Grünbaum

Q: What Schools Are Affiliated With Branko Grünbaum

Branko Grünbaum is affiliated with the following schools: Hebrew University of Jerusalem, Michigan State University, University of Washington

Branko Grünbaum's AcademicInfluence.com Rankings

Branko Grünbaum

Mathematics

#315

World Rank

#668

Historical Rank

Measure Theory

#342

World Rank

#513

Historical Rank

mathematics Degrees

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Mathematics

Why Is Branko Grünbaum Influential?

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According to Wikipedia, Branko Grünbaum was a Croatian-born mathematician of Jewish descent and a professor emeritus at the University of Washington in Seattle. He received his Ph.D. in 1957 from Hebrew University of Jerusalem in Israel.

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Branko Grünbaum's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Tilings and Patterns (1990) (1982)
Arrangements and Spreads (1972) (405)
Measures of symmetry for convex sets (1963) (242)
Partitions of mass-distributions and of convex bodies by hyperplanes. (1960) (240)
Acyclic colorings of planar graphs (1973) (239)
Polytopes, graphs, and complexes (1970) (171)
Configurations of Points and Lines (2009) (162)
An enumeration of simplicial 4-polytopes with 8 vertices (1967) (151)
The Number of Hexagons and the Simplicity of Geodesics on Certain Polyhedra (1963) (149)
Aperiodic tiles (1992) (143)
The Geometric vein : the Coxeter Festschrift (1981) (140)
Tilings by Regular Polygons (1977) (114)
Shortness Exponents of Families of Graphs (1973) (105)
Regular polyhedra—old and new (1977) (99)
Tilings with congruent tiles (1980) (94)
Venn Diagrams and Independent Families of Sets. (1975) (80)
Grötzsch's theorem on $3$-colorings. (1963) (76)
Interlace Patterns in Islamic and Moorish Art (1993) (72)
SYMMETRY IN MOORISH AND OTHER ORNAMENTS (1986) (67)
A catalogue of simplicial arrangements in the real projective plane (2009) (63)
The orchard problem (1974) (63)
The eighty-one types of isohedral tilings in the plane (1977) (62)
Satins and Twills: An Introduction to the Geometry of Fabrics (1980) (62)
The Geometric Vein (1981) (60)
Some semicontinuity theorems for convex polytopes and cell-complexes (1964) (59)
On the number of invariant straight lines for polynomial differential systems (1998) (59)
New Views on Some Old Questions of Combinatorial Geometry (1973) (57)
ON A CONJECTURE OF H. HADWIGER (1961) (56)
Vertices Missed by Longest Paths or Circuits (1974) (55)
The Real Configuration (214) (1990) (55)
Grassmann angles of convex polytopes (1968) (55)
On a Coloring Problem. (1960) (49)
A simple proof of Borsuk's conjecture in three dimensions (1957) (49)
The existence of certain planar maps (1974) (47)
Intersection properties of boxes in Rd (1982) (43)
Antidirected Hamiltonian paths in tournaments (1971) (41)
Strictly antipodal sets (1963) (40)
Common Transversals for Families of Sets (1960) (40)
Preassigning the shape of a face (1970) (38)
Some analogues of eberhard’s theorem on convex polytopes (1968) (37)
On common transversals (1958) (37)
Are Your Polyhedra the Same as My Polyhedra (2003) (36)
POLYHEDRA WITH HOLLOW FACES (1994) (36)
Pairs of edge-disjoint Hamiltonian circuits (1975) (35)
Tilings and patterns. W. H. Freeman and Co. Ltd., Oxford 1987. IX + 700 p., 1395 figs., price £ 54.95, ISBN 0–7167–1193–1 (1991) (34)
Rotation and winding numbers for planar polygons and curves (1990) (33)
Spherical Tilings with Transitivity Properties (1981) (33)
On intersections of similar sets (1959) (33)
On components in some families of sets (1961) (31)
Graphs of polyhedra; polyhedra as graphs (2007) (31)
Small Triangle-Free Configurations of Points and Lines (2006) (30)
Pick's theorem (1993) (30)
What symmetry groups are present in the Alhambra (2006) (30)
Analogues for Tilings of Kotzig'S Theorem on Minimal Weights of Edges* (1982) (30)
Ceva, Menelaus, and the Area Principle (1995) (29)
On some covering and intersection properties in Minkowski spaces (1959) (29)
Combinatorics: The geometry of planar graphs (1981) (28)
Edge-transitive planar graphs (1987) (28)
Longest Simple Paths in Polyhedral Graphs (1962) (27)
Isohedral tilings of the plane by polygons (1978) (25)
Addition and decomposition of convex polytopes (1964) (25)
Some applications of expansion constants. (1960) (25)
A New Look at Euler's Theorem for Polyhedra (1994) (24)
Convex drawings of intersecting families of simple closed curves (1999) (24)
On the facial structure of convex polytopes (1965) (24)
Imbeddings of simplicial complexes (1969) (24)
Matchings in polytopal graphs (1974) (24)
THE IMPORTANCE OF BEING STRAIGHT. (1969) (22)
Nerves of simplicial complexes (1969) (22)
Is Selfduality Involutory (1988) (22)
Convexification of polygons by flips and by flipturns (2001) (21)
Isonemal fabrics (1988) (21)
The ninety-one types of isogonal tilings in the plane (1978) (21)
Regular Polyhedra—Old and New (1977) (19)
Some Problems on Plane Tilings (1981) (19)
A Problem in Graph Coloring (1970) (19)
Planar maps with prescribed types of vertices and faces (1969) (19)
Tiling three-dimensional space with polyhedral tiles of a given isomorphism type (1984) (19)
Fixing systems and inner illumination (1964) (19)
The Emperor’s New clothes: Full regalia, G string, or nothing? (1984) (19)
Arrangements of Hyperplanes (2003) (19)
Self-duality Groups and Ranks of Self-dualities (1990) (18)
Higher-Dimensional analogs of the four-color problem and some inequalities for simplicial complexes (1970) (18)
A CATALOGUE OF ISONEMAL FABRICS (1985) (18)
THE SEARCH FOR SYMMETRIC VENN DIAGRAMS (1999) (18)
Topological configurations (n4) exist for all n>=17 (2009) (18)
SELF-CIRCUMFERENCE OF CONVEX SETS, (1964) (18)
Continuous Families of Curves (1966) (17)
Some problems on polyhedra (1987) (16)
An extension to the catalogue of isonemal fabrics (1986) (16)
A generalization of theorems of Kirszbraun and Minty (1962) (16)
A hierarchy of classification methods for patterns (1981) (16)
Musings on an example of Danzer's (2008) (15)
The enumeration of normal 2-homeohedral tilings (1985) (15)
Incidence patterns of graphs and complexes (1969) (15)
NO-NET POLYHEDRA (2003) (14)
Perfect colorings of transitive tilings and patterns in the plane (1977) (14)
The Faces of a Regular-Faced Polyhedron (1965) (14)
Is Napoleon's Theorem Really Napoleon's Theorem? (2012) (14)
How to Cut All Edges of a Polytope. (1972) (14)
The dimension of intersections of convex sets. (1962) (14)
The perimeter f Minkowski unit discs (1966) (13)
Symmetry Groups of Knots (1985) (13)
Geometry Strikes Again (1985) (13)
Are These Figures Oxymora (1992) (13)
An Enduring Error (2009) (13)
The Construction of Venn Diagrams (1984) (13)
Some New Transversality Properties (1998) (13)
Arrangements of lines (1972) (12)
Common secants for families of polyhedra (1964) (12)
Ceva, Menelaus, and Selftransversality (1997) (12)
Two-coloring the faces of arrangements (1980) (11)
Pairs of edge-disjoint Hamiltonian circuits (1976) (11)
The Bilinski Dodecahedron and Assorted Parallelohedra, Zonohedra, Monohedra, Isozonohedra, and Otherhedra (2010) (11)
Patterns on the 2-Sphere (1981) (11)
Geometric “Floral” Configurations (2009) (11)
On some properties of convex sets (1961) (10)
Geometric realizations of special toroidal complexes (2009) (9)
" New " uniform polyhedra (2003) (9)
On Venn Diagrams and the Counting of Regions (1984) (9)
Astral (n 4 ) Configurations (9)
Patch-determined tilings (1977) (9)
On common transversals (1958) (9)
Deletion constructions of symmetric 4-configurations. Part I (2010) (8)
Can all Tiles of a Tiling have Five-Fold Symmetry? (1982) (8)
Shouldn't We Teach Geometry?. (1981) (8)
On a Measure of Asymmetry of Convex Bodies (1962) (8)
A new Ceva-type theorem (1996) (8)
The 2-homeotoxal tilings of the plane and the 2-sphere (1983) (8)
Metrically homogeneous sets (1968) (8)
Diameters of Polytopes (2003) (8)
Intersecting all edges of centrally symmetric polyhedra by planes (1973) (7)
Osculation vertices in arrangements of curves (1973) (7)
Lecture notes on Modern Elementary Geometry (1997) (7)
Polygons: Meister was right and Poinsot was wrong but prevailed (2012) (7)
Lectures on Lost Mathematics (2010) (7)
The theorems of Euler and Eberhard for tilings of the plane (1982) (7)
On a theorem of L. A. Santaló. (1955) (7)
Realizations of Symmetric Maps by Symmetric Polyhedra (1998) (6)
Which (n 4 ) Configurations Exist ? (6)
) Configurations Exist for Almost All N –– an Update (6)
ON COMBINATORIAL SPHERES. (1969) (6)
On steinitz’s theorem about non-inscribable polyhedra (1963) (6)
Isohedra with nonconvex faces (1998) (6)
A starshaped polyhedron with no net (2003) (5)
Isogonal Prismatoids (1997) (5)
Multilaterals in configurations (2013) (5)
Connected ( n k ) configurations exist for almost all n (2021) (5)
Unambiguous polyhedral graphs (1963) (5)
Euler's Ratio-Sum Theorem and Generalizations (2006) (5)
On inscribing and circumscribing hexagons (1967) (5)
On non-inscribable polytopes (1974) (4)
Projections onto some function spaces (1962) (4)
Some Results on the Upper Bound Conjecture for Convex Polytopes (1969) (4)
Diagrams Venn and How (1988) (4)
A variant of Helly’s theorem (1960) (4)
Face-transitive polyhedra with rectangular faces and icosahedral symmetry (2001) (4)
Parallelogram-faced isohedra with edges in mirror-planes (2000) (4)
69.14 Space filling with identical symmetrical solids (1985) (3)
Splittable and unsplittable graphs and configurations (2018) (3)
Is there an all-purpose tile? (1986) (3)
Equipartite graphs (2008) (3)
The edge-density of 4-critical planar graphs (1988) (3)
WHICH CORONAS ARE SIMPLE (1998) (3)
A convex polyhedron which is not equifacettable (2003) (3)
A result on graph-coloring. (1968) (3)
Uniform Tilings with Hollow Tiles (1981) (3)
Some models of plane geometries (1990) (2)
The Best Writing on Mathematics 2020 (2011) (2)
Equitransitive Tilings, or How to Discover New Mathematics* (1987) (2)
A MEASURE OF ASYMMETRY FOR PLANE CONVEX SETS (1964) (2)
A dual for Descartes’ theorem on polyhedra (1987) (2)
A SIMPLE PROOF OF A THEOREM OF MOTZKIN (1964) (2)
Simplicial arrangements revisited (2013) (2)
Levels of Orderliness: Global and Local Symmetry (2003) (2)
Review of Matrices and Graphs in Geometry. Encyclopedia of Mathematics and its Applications, vol. 139 by Miroslav Fiedler, Cambridge University Press (2011). viii + 197 pp., ISBN: 978-0-521-46193-1 (2012) (1)
Incidence Numbers of Complexes and Polytopes (1976) (1)
Some remarks on Fedotov's paper on discrete chronogeometry (1981) (1)
The {4, 5} Isogonal Sponges on the Cubic Lattice (2009) (1)
POLYTOPES , GRAPHS , AND COMPLEXES 12 BY (2007) (1)
On n‐connected graphs (1969) (1)
Erratum to "The Ninety-One Types of Isogonal Tilings in the Plane" (1979) (1)
Isohedra with dart-shaped faces (2001) (1)
REGULAR COMPLEX POLYTOPES (1977) (1)
Geometric Realization of Some Triangle-Free Combinatorial Configurations (2012) (1)
Long Paths and Circuits on Polytopes (2003) (1)
Some Comments on “Juxtapositions” (1979) (1)
Omittable lines (2008) (1)
Metrically homogeneous sets: Corrigendum (1970) (1)
3-connected configurations (n3) with no Hamiltonian circuit (2006) (1)
Fundamental Properties and Constructions (2003) (0)
THE GRUNERT POINT OF PENTAGONS (2002) (0)
k-Equivalence of Polytopes (2003) (0)
Omittable Points (0)
Lectures on Arrangements (1974) (0)
Appendix: The Euclidean, projective, and extended Euclidean planes (2009) (0)
Polytopes with Few Vertices (2003) (0)
Patterns in the plane from Kepler to the present, including recent results and unsolved problems. (2016) (0)
A VARIANT OF HELLY'S THEOREM1 (2010) (0)
Idiot-proof tiles (1991) (0)
Erratum to: “The ninety-one types of isogonal tilings in the plane” (Trans. Amer. Math. Soc. 242 (1978), 335–353) (1979) (0)
Angle-sums Relations; the Steiner Point (2003) (0)
The Symmetries of Things by John H. Conway; Heidi Burgiel; Chaim Goodman-Strauss (2009) (0)
Extremal Problems Concerning Numbers of Faces (2003) (0)
Omittable Planes (2011) (0)
Notation and Prerequisites (2003) (0)
Duality of Polyhedra (2013) (0)
Can Every Face of a Polyhedron Have Many Sides (2008) (0)
ON FINITE DECOMPOSITIONS OF £2»-> (2010) (0)
OSCULATION VERTICES IN ARRANGEMENTS OF CURVES 1 (1973) (0)
Nerves of simplicial complexes (1969) (0)
On a Problem of L. Fejes-Toth (1960) (0)
Do Maximal Line-Generated Triangulations of the Plane Exist? (1978) (0)
PROJECTIONS ONTO SOME FUNCTION SPACES1 (2010) (0)
Arrangements of pseudolines and arrangements of curves (1972) (0)
The Harmony of the World: Geometry Strikes Again (2007) (0)
Properties of configurations (2009) (0)
Polygons: Meister was right and Poinsot was wrong but prevailed (2011) (0)
PAUL ERDŐS AND (2004) (0)
Spreads of curves (1972) (0)
Equipartite polytopes (2010) (0)
Polygons in Arrangements Generated by n Points. (1973) (0)
Properties of Boundary Complexes (2003) (0)
Multilaterals in configurations (2011) (0)
Addition and Decomposition of Polytopes (2003) (0)
H. S. M. Coxeter: Published Works (1981) (0)
Families of point-touching squares (2003) (0)
Equipartite polytopes and graphs (2004) (0)
Reviews (2009) (0)
Analogues of Euler’s Relation (2003) (0)
( 1907 – 2003 ) (2003) (0)

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