H.S.M. Coxeter.

Harold Scott MacDonald "Donald" Coxeter CC (February 9, 1907 – March 31, 2003) is regarded as one of the great geometers of the 20th century. He was born in London but spent most of his life in Canada. Image File history File links Download high resolution version (621x750, 95 KB) Summary Photo of H.S.M. Coxeter from the Canadian Mathematical Society web site announcing inaguration of the Coxeter-James Prize: http://www. ... Image File history File links Download high resolution version (621x750, 95 KB) Summary Photo of H.S.M. Coxeter from the Canadian Mathematical Society web site announcing inaguration of the Coxeter-James Prize: http://www. ... Seal of the Order of Canada The Order of Canada is Canadas highest civilian honour, with membership awarded to those who exemplify the Orders Latin motto Desiderantes meliorem patriam, which means (those) desiring a better country. ... February 9 is the 40th day of the year in the Gregorian calendar. ... 1907 (MCMVII) was a common year starting on Tuesday (link will display the full calendar) of the Gregorian calendar (or a common year starting on Wednesday of the 13-day-slower Julian calendar). ... March 31 is the 90th day of the year in the Gregorian calendar (91st in leap years), with 275 days remaining. ... 2003 (MMIII) was a common year starting on Wednesday of the Gregorian calendar. ... A geometer is a mathematician whose area of study is geometry. ... (19th century - 20th century - 21st century - more centuries) Decades: 1900s 1910s 1920s 1930s 1940s 1950s 1960s 1970s 1980s 1990s As a means of recording the passage of time, the 20th century was that century which lasted from 1901–2000 in the sense of the Gregorian calendar (1900–1999... This article is about the capital of England and the United Kingdom. ...

He worked for 60 years at the University of Toronto and published twelve books. He was most noted for his work on regular polytopes and higher-dimensional geometries. He met Maurits Escher and his work on geometric figures helped inspire some of Escher's works, particularly the Circle Limit series based on hyperbolic tessellations. He also inspired some of the innovations of Buckminster Fuller. The University of Toronto (U of T) is a coeducational public research university in Toronto, Ontario, Canada. ... [1]#redirect Book ... In geometry polytope means, first, the generalization to any dimension of polygon in two dimensions, and polyhedron in three dimensions. ... Maurits Cornelis Escher (June 17, 1898 – March 27, 1972), usually referred to as M. C. Escher, was a Dutch graphic artist known for his often mathematically inspired woodcuts, lithographs and mezzotints which feature impossible constructions, explorations of infinity, architecture, and tessellations. ... Lines through a given point P and hyperparallel to line l. ... A tessellated plane seen in street pavement. ... Richard Buckminster (Bucky) Fuller (July 12[1], 1895 – July 1, 1983) was an American visionary, designer, architect, poet, author, and inventor. ...

He studied the philosophy of mathematics under Ludwig Wittgenstein at Trinity College, Cambridge. He remained at Cambridge following his doctorate, then was a Rockefeller Fellow at Princeton University where he worked with Hermann Weyl, Oswald Veblen, and Solomon Lefschetz. In 1936 he moved to the University of Toronto, becoming a professor in 1948. He was elected a Fellow of the Royal Society in 1950. // Philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. ... Wittgenstein and Hitler in school photograph taken at the Linz Realschule in 1903. ... Full name The College of the Holy and Undivided Trinity Motto Virtus vera nobilitas Virtue is true Nobility Named after The Holy Trinity Previous names King’s Hall and Michaelhouse (until merged in 1546) Established 1546 Sister College(s) Christ Church Master The Lord Rees of Ludlow Location Trinity Street... Princeton University is a coeducational private university located in Princeton, New Jersey, in the United States of America. ... 1936 (MCMXXXVI) was a leap year starting on Wednesday (link will take you to calendar). ... The meaning of the word professor (Latin: one who claims publicly to be an expert) varies. ... 1948 (MCMXLVIII) was a leap year starting on Thursday (the link is to a full 1948 calendar). ... The Fellowship of the Royal Society was founded in 1660. ... 1950 (MCML) was a common year starting on Sunday. ...

Coxeter, M. S. Longuet-Higgins and J. C. P. Miller were the first to publish the full list of uniform polyhedra (1954). The following list contains all 75 nonprismatic uniform polyhedra, 11 uniform tessellations in the plane, and a samplings of the infinite set of prisms and antiprisms. ...

In 1997 he received Sylvester Medal from the Royal Society and was made a Companion of the Order of Canada. 1997 (MCMXCVII) was a common year starting on Wednesday of the Gregorian calendar. ... The Sylvester Medal is a bronze medal awarded every three years by the Royal Society for the encouragement of mathematical research. ... The premises of The Royal Society in London (first four properties only). ... Seal of the Order of Canada The Order of Canada is Canadas highest civilian honour, with membership awarded to those who exemplify the Orders Latin motto Desiderantes meliorem patriam, which means (those) desiring a better country. ... Seal of the Order of Canada The Order of Canada is Canadas highest civilian honour, with membership awarded to those who exemplify the Orders Latin motto Desiderantes meliorem patriam, which means (those) desiring a better country. ...

Canadian author Siobhan Roberts's biography of Donald Coxeter, titled King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry was published in 2006 by Walker & Company (Bloomsbury) in the US, House of Anansi in Canada, and Rizzoli in Italy, with editions forthcoming in the UK by Profile Books, Japan by Nikkei, and Korea by Seung San.

Works

• Coxeter, Longuet-Higgins, Miller, Uniform polyhedra, Phil. Trans. 1954, 246 A, 401–50.
• The Real Projective Plane (1949)
• Introduction to Geometry (1961)
• Regular Polytopes (1963), Macmillian Company
  • Regular Polytopes, (3rd edition, 1973), Dover edition, ISBN 0-486-61480-8
• Non-Euclidean Geometry (1965)
• Geometry Revisited (with S. L. Greitzer, 1967)
• Projective Geometry (2nd edition, 1974)
• Regular Complex Polytopes (1974), Cambridge University Press
• The Beauty of Geometry: Twelve Essays (1999), Dover Publications ISBN 99-35678
• The Fifty-Nine Icosahedra (with P. Du Val, H. T. Flather, J. F. Petrie)
• Mathematical Recreations and Essays (with W. W. Rouse Ball)

The Philosophical Transactions of the Royal Society, or , is the oldest scientific journal printed in the English-speaking world, and was only three months shy of being the oldest in the world. ... Stereographic projection of the 120-cell, a 4-dimensional regular polytope. ... S. L. Greitzer is a mathematician wo wrote the text book Geometry Revisited together with H. S. M. Coxeter in 1967. ... The headquarters of the Cambridge University Press, in Trumpington Street, Cambridge. ... Walter William Rouse Ball (1850 August 14–1925 April 4) was a Brtish mathematician, and a fellow at Trinity College, Cambridge from 1878 to 1905. ...

See also

• Coxeter group
• Coxeter number
• Todd-Coxeter algorithm

In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. ... The introduction of this article does not provide enough context for readers unfamiliar with the subject. ... The Todd-Coxeter algorithm, discovered by Todd and Coxeter in 1936, is a procedure that can solve the coset enumeration problem. ...

External links

• Harold Scott MacDonald Coxeter at the Mathematics Genealogy Project
• O'Connor, John J.; Edmund F. Robertson "Harold Scott MacDonald Coxeter". MacTutor History of Mathematics archive.  
• H. S. M. Coxeter (1907–2003), Erich W. Ellers, Branko Grünbaum, Peter McMullen, Asia Ivic Weiss Notices of the AMS: VOLUME 50, NUMBER 10, PDF
• Siobhan Roberts's biography "King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry" at: Walker & Company and House of Anansi
• "The man who saved geometry: Crying `Death to Triangles!' a generation of mathematicians tried to eliminate geometry in favor of algebra. Were it not for Donald Coxeter, they might have succeeded", by Siobhan Roberts, The Boston Globe, September 10, 2006 [1]