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Branko Grünbaum

 

 
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Branko Grünbaum
 
 
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Branko Grünbaum (born 1929) is a Croatia
Croatia

Croatia , officially the Republic of Croatia , is a Central European country at the crossroads of Pannonian Plain, Balkans, and the Mediterranean Sea....
n-born mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 and a professor emeritus
Emeritus

Emeritus is an adjective that is used in the title of a retired professor, bishop or other professional. Emerita was used for women, but is rarely used today....
 at the University of Washington
University of Washington

University of Washington, founded in 1861, is a public research university in Seattle, Washington, Washington, United States. Also known as Washington and locally as UW or the U, it is the largest university in the northwestern United States and the oldest public university on the west coast....
 in Seattle. He received his Ph.D. in 1957 from Hebrew University of Jerusalem
Hebrew University of Jerusalem

The Hebrew University of Jerusalem is Israel's oldest university.The First Board of Governors included Albert Einstein, Sigmund Freud, Martin Buber, and Chaim Weizmann....
 in Israel
Israel

Israel officially the State of Israel , is a country in the Middle East located on the eastern shore of the Mediterranean Sea. It borders Lebanon in the north, Syria in the northeast, Jordan in the east, and Egypt on the southwest, and contains geographically diverse features within its relatively small area....
. He has authored over 200 papers, mostly in discrete geometry
Discrete geometry

Discrete geometry or combinatorial geometry may be loosely defined as study of geometrical objects and properties that are discrete space or combinatorial, either by their nature or by their representation; the study that does not essentially rely on the notion of continuum....
, an area in which he is particularly well known for various meticulous classification theorem
Classification theorem

In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?". It gives a non-redundant enumeration: each object is equivalent to exactly one class....
s. His paper on line arrangements appears to have been the inspiration for a paper by N. G. de Bruijn which is generally held to have initiated the subject of quasiperiodic tiling
Quasiperiodic tiling

A quasiperiodic tiling is a tessellation of the plane which exhibits local periodicity under some transformations; we can slide or rotate it such that a finite number of tiles overlap perfectly, yet the entire tiling will not....
s (the most famous example of which is the Penrose tiling
Penrose tiling

File:Penrose Tiling .svgA Penrose tiling is a nonperiodic tessellation generated by an aperiodic tiling of prototiles named after Roger Penrose, who investigated these sets in the 1970s....
 of the plane).






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Branko Grünbaum (born 1929) is a Croatia
Croatia

Croatia , officially the Republic of Croatia , is a Central European country at the crossroads of Pannonian Plain, Balkans, and the Mediterranean Sea....
n-born mathematician
Mathematician

A mathematician is a person whose primary area of study and/or research is the field of mathematics....
 and a professor emeritus
Emeritus

Emeritus is an adjective that is used in the title of a retired professor, bishop or other professional. Emerita was used for women, but is rarely used today....
 at the University of Washington
University of Washington

University of Washington, founded in 1861, is a public research university in Seattle, Washington, Washington, United States. Also known as Washington and locally as UW or the U, it is the largest university in the northwestern United States and the oldest public university on the west coast....
 in Seattle. He received his Ph.D. in 1957 from Hebrew University of Jerusalem
Hebrew University of Jerusalem

The Hebrew University of Jerusalem is Israel's oldest university.The First Board of Governors included Albert Einstein, Sigmund Freud, Martin Buber, and Chaim Weizmann....
 in Israel
Israel

Israel officially the State of Israel , is a country in the Middle East located on the eastern shore of the Mediterranean Sea. It borders Lebanon in the north, Syria in the northeast, Jordan in the east, and Egypt on the southwest, and contains geographically diverse features within its relatively small area....
. He has authored over 200 papers, mostly in discrete geometry
Discrete geometry

Discrete geometry or combinatorial geometry may be loosely defined as study of geometrical objects and properties that are discrete space or combinatorial, either by their nature or by their representation; the study that does not essentially rely on the notion of continuum....
, an area in which he is particularly well known for various meticulous classification theorem
Classification theorem

In mathematics, a classification theorem answers the classification problem "What are the objects of a given type, up to some equivalence?". It gives a non-redundant enumeration: each object is equivalent to exactly one class....
s. His paper on line arrangements appears to have been the inspiration for a paper by N. G. de Bruijn which is generally held to have initiated the subject of quasiperiodic tiling
Quasiperiodic tiling

A quasiperiodic tiling is a tessellation of the plane which exhibits local periodicity under some transformations; we can slide or rotate it such that a finite number of tiles overlap perfectly, yet the entire tiling will not....
s (the most famous example of which is the Penrose tiling
Penrose tiling

File:Penrose Tiling .svgA Penrose tiling is a nonperiodic tessellation generated by an aperiodic tiling of prototiles named after Roger Penrose, who investigated these sets in the 1970s....
 of the plane). This paper is also cited by the authors of a monograph on hyperplane arrangements as having inspired their research.

Grünbaum has also devised a multi-set generalisation of Venn diagram
Venn diagram

Venn diagrams or set diagrams are diagrams that show all hypothetically possible logical relations between a finite collection of Set . Venn diagrams were invented around 1880 by John Venn....
s. He is an editor and a frequent contributor to Geombinatorics
Geombinatorics

Geombinatorics is a mathematical research journal founded by Alexander Soifer and published by the University of Colorado at Colorado Springs, USA, since 1991 under an international board of editors....
.

Grünbaum's classic monograph Convex polytopes, first published in 1967, has become the main textbook on the subject. His monograph Tilings and Patterns, coauthored with G. C. Shephard, helped to rejuvenate interest in this classic field, and has proved popular with nonmathematical audiences as well as with mathematicians.

In 2004, Gil Kalai
Gil Kalai

Gil Kalai is the Henry and Manya Noskwith Professor of Mathematics at the Hebrew University of Jerusalem, an adjunct professor of mathematics and of computer science at Yale University, and the editor of the Israel Journal of Mathematics....
 and Victor Klee
Victor Klee

Victor L. Klee, Jr. was a mathematician specialising in convex sets, functional analysis, analysis of algorithms, Optimization , and combinatorics....
 edited a special issue of Discrete and Computational Geometry
Discrete and Computational Geometry

Discrete and Computational Geometry is a journal in discrete geometry and computational geometry. It was founded in 1986 and is published by Springer Science+Business Media....
 in his honor, the "Grünbaum Festschrift". In 2005, Grünbaum was awarded the Leroy P. Steele Prize
Leroy P. Steele Prizes

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics....
 for Mathematical Exposition from the American Mathematical Society
American Mathematical Society

The American Mathematical Society is an association of professional mathematicians dedicated to the interests of mathematics research and scholarship, which it does with various publications and conferences as well as annual monetary awards and prizes to mathematicians....
.

Grünbaum has supervised 17 Ph.D.s and currently has at least 66 mathematical "descendants".

Selected publications

  • .


External links