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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.

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.

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.

Coxeter, M. S. Longuet-Higgins and J. C. P. Miller were the first to publish the full list of uniform polyhedra (1954).

In 1997 he received Sylvester Medal from the Royal Society and was made a Companion of the Order of Canada.

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.

• 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, LCCN 99-35678, ISBN 0-486-40919-8
• The Fifty-Nine Icosahedra (with P. Du Val, H. T. Flather, J. F. Petrie)
• Mathematical Recreations and Essays (with W. W. Rouse Ball)

• Coxeter group
• Coxeter number
• Todd-Coxeter algorithm

• 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]