HAROLD SCOTT MACDONALD "DONALD" COXETER, FRS, FRSC, CC (February 9,
1907 – March 31, 2003) was a British-born Canadian geometer.
Coxeter is regarded as one of the greatest geometers of the 20th
century. He was born in
* 1 Biography * 2 Awards * 3 Works * 4 See also * 5 References * 6 Further reading * 7 External links
In his youth, Coxeter composed music and was an accomplished pianist at the age of 10. He felt that mathematics and music were intimately related, outlining his ideas in a 1962 article on "Mathematics and Music" in the Canadian Music Journal.
Coxeter went up to Trinity College , Cambridge in 1926 to read
mathematics. There he earned his BA (as
In 1936 Coxeter moved to the University of Toronto. In 1938 he and P.
Du Val , H.T. Flather, and
John Flinders Petrie published The
Fifty-Nine Icosahedra with
University of Toronto Press . In 1940
Coxeter edited the eleventh edition of Mathematical Recreations and
Essays, originally published by
W. W. Rouse Ball
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 was a champion of the classical approach to geometry, in a period when the tendency was to approach geometry more and more via algebra.
He was made a Fellow of the Royal Society in 1950 and in 1997 he was awarded their Sylvester Medal . In 1990, he became a Foreign Member of the American Academy of Arts and Sciences and in 1997 was made a Companion of the Order of Canada .
In 1973 he received the Jeffery–Williams Prize .
* 1940: Regular and Semi-Regular Polytopes I, Mathematische Zeitschrift 46: 380-407, MR 2,10 doi :10.1007/BF01181449 * 1942: Non-Euclidean Geometry (1st edition), (2nd ed, 1947), (3rd ed, 1957), (4th ed, 1961), (5th ed, 1965), University of Toronto Press (6th ed, 1998), MAA . * 1954: (with Michael S. Longuet-Higgins and J. C. P. Miller ) "Uniform Polyhedra", Philosophical Transactions of the Royal Society A 246: 401–50 doi :10.1098/rsta.1954.0003 * 1949: The Real Projective Plane * 1957: (with W.O.J. Moser) Generators and Relations for Discrete Groups 1980: Second edition, Springer-Verlag ISBN 0-387-09212-9 * 1961: Introduction to Geometry * 1963: Regular Polytopes (2nd edition), Macmillan Company * 1967: (with S. L. Greitzer ) Geometry Revisited * 1970: Twisted honeycombs (American Mathematical Society, 1970, Regional conference series in mathematics Number 4, ISBN 0-8218-1653-5 ) * 1973: Regular Polytopes , (3rd edition), Dover edition, ISBN 0-486-61480-8 * 1974: Projective Geometry (2nd edition) * 1974: Regular Complex Polytopes, Cambridge University Press * 1981: (with R. Frucht and D. L. Powers), Zero-Symmetric Graphs, Academic Press . * 1985: Regular and Semi-Regular Polytopes II, Mathematische Zeitschrift 188: 559-591 * 1987 Projective Geometry (1987) ISBN 978-0-387-40623-7 * 1988: Regular and Semi-Regular Polytopes III, Mathematische Zeitschrift 200: 3-45 * 1995: F. Arthur Sherk, Peter McMullen, Anthony C. Thompson and Asia Ivić Weiss, editors: Kaleidoscopes — Selected Writings of H.S.M. Coxeter. John Wiley and Sons ISBN 0-471-01003-0 * 1999: The Beauty of Geometry: Twelve Essays, Dover Publications, LCCN 99-35678, ISBN 0-486-40919-8