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== External links ==
== External links ==
{{Archival records|title=Harold Scott MacDonald Coxeter fonds}}
*[https://discoverarchives.library.utoronto.ca/index.php/harold-scott-macdonald-coxeter-fonds Harold Scott MacDonald Coxeter archival papers] held at the [https://utarms.library.utoronto.ca/ University of Toronto Archives and Records Management Services]
*[https://discoverarchives.library.utoronto.ca/index.php/harold-scott-macdonald-coxeter-fonds Harold Scott MacDonald Coxeter archival papers] held at the [https://utarms.library.utoronto.ca/ University of Toronto Archives and Records Management Services]
* {{MathGenealogy|id=12555}}
* {{MathGenealogy|id=12555}}
R e v i s i o n a s o f 1 9 : 3 2 , 9 D e c e m b e r 2 0 2 2
Harold Scott MacDonald "Donald " Coxeter , CC , FRS , FRSC [2] geometer . He is regarded as one of the greatest geometers of the 20th century.[3]
Biography
Coxeter was born in Kensington to Harold Samuel Coxeter and Lucy (née Geenitrous oxide ), but was able to retire early and focus on sculpting and baritone singing; Lucy Coxeter was a portrait and landscape painter who had attended the Royal Academy of Arts . A maternal cousin was the architect Sir Giles Gilbert Scott .[4] [2]
In his youth, Coxeter composed music and was an accomplished pianist at the age of 10.[5] mathematics and music were intimately related, outlining his ideas in a 1962 article on "Music and Mathematics" in the Canadian Music Journal .[5]
He was educated at King Alfred School, London and St George's School, Harpenden , where his best friend was John Flinders Petrie, later a mathematician for whom Petrie polygons were named. He was accepted at King's College, Cambridge in 1925, but decided to spend a year studying in hopes of gaining admittance to Trinity College , where the standard of mathematics was higher.[2] Trinity College , Cambridge in 1926 to read mathematics. There he earned his BA (as Senior Wrangler ) in 1928, and his doctorate in 1931.[5] [6] Princeton University for a year as a Rockefeller Fellow , where he worked with Hermann Weyl , Oswald Veblen , and Solomon Lefschetz .[6] Ludwig Wittgenstein 's seminars on the philosophy of mathematics .[5] [6]
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 ,[7] W. W. Rouse Ball in 1892. He was elevated to professor in 1948. Coxeter was elected a Fellow of the Royal Society of Canada in 1948 and a Fellow of the Royal Society in 1950. He met M. C. Escher in 1954 and the two became lifelong friends; 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 .[6] M. S. Longuet-Higgins and J. C. P. Miller were the first to publish the full list of uniform polyhedra (1954).[8]
He worked for 60 years at the University of Toronto and published twelve books.
Awards
Since 1978, the Canadian Mathematical Society have awarded the Coxeter–James Prize in his honor.
He was made a Fellow of the Royal Society in 1950 and in 1997 he was awarded their Sylvester Medal .[6] American Academy of Arts and Sciences [9] Companion of the Order of Canada .[10]
In 1973 he received the Jeffery–Williams Prize .[6]
A festschrift in his honour, The Geometric Vein , was published in 1982. It contained 41 essays on geometry, based on a symposium for Coxeter held at Toronto in 1979.[11] The Coxeter Legacy , was published in 2006 based on a Toronto Coxeter symposium held in 2004.[12]
Works
1940: Regular and Semi-Regular Polytopes I Mathematische Zeitschrift 46: 380-407, MR 2,10 doi :10.1007/BF01181449
1942: Non-Euclidean Geometry [13] 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 [14]
1957: (with W.O.J. Moser) Generators and Relations for Discrete Groups [15] ISBN 0-387-09212-9
1961: Introduction to Geometry [16] [17]
1963: Regular Polytopes (2nd edition), Macmillan Company
1967: (with S. L. Greitzer ) Geometry Revisited
1970: Twisted honeycombs ISBN 0-8218-1653-5 )
1973: Regular Polytopes 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 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
See also
References
^ "Geometry Revisited" . Mathematical Association of America the original on 25 December 2018. Retrieved 25 December 2018 .
^ "The Oxford Dictionary of National Biography" Oxford Dictionary of National Biography doi :10.1093/ref:odnb/89876 .(Subscription or UK public library membership required.)
^ a b c d Roberts, Siobhan , King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry , Walker & Company, 2006, ISBN 0-8027-1499-4
^ a b c d e f O'Connor, John J.; Robertson, Edmund F. , "Harold Scott MacDonald Coxeter" , MacTutor History of Mathematics Archive University of St Andrews
^ Frame, J. S. (1940). "Review: Mathematical Recreations and Essays, 11th edition, by W. W. Rouse Ball; revised by H. S. M. Coxeter" (PDF) . Bull. Amer. Math. Soc. 45 3 ): 211–213. doi :10.1090/S0002-9904-1940-07170-8 .
^ Harold Coxeter, 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
^ Foreign Honorary Member elected 1990 [permanent dead link
^ Office of the Governor General of Canada . Order of Canada citation . Queen's Printer for Canada. Retrieved 26 May 2010
^ Edge, W. L. (June 1983). "Review of The Geometric Vein " . Proceedings of the Edinburgh Mathematical Society . 26 2 ): 284–285. doi :10.1017/s0013091500017016
^ Davis, Chandler; Ellers, Erich, eds. (2006). The Coxeter Legacy . Providence, Rhode Island: American Mathematical Society. ISBN 978-0821837221
^ Blumenthal, L. M. (1943). "Review: Non-euclidean geometry by H. S. M. Coxeter" (PDF) . Bull. Amer. Math. Soc . 49 9 ): 679–680. doi :10.1090/s0002-9904-1943-07977-3
^ DuVal, Patrick (1950). "Review: The real projective plane by H. S. M. Coxeter" (PDF) . Bull. Amer. Math. Soc . 56 4 ): 376–378. doi :10.1090/s0002-9904-1950-09414-2
^ Hall Jr., Marshall (1958). "Review: Generators and relations for discrete groups by H. S. M. Coxeter and W. O. J. Moser" (PDF) . Bulletin of the American Mathematical Society 3 ): 106–108. doi :10.1090/S0002-9904-1958-10178-0
^ Freudenthal, H. (1962). "Review: Introduction to geometry by H. S. M. Coxeter" (PDF) . Bull. Amer. Math. Soc . 68 2 ): 55–59. doi :10.1090/s0002-9904-1962-10714-9
^ Levi, H. (1963). "Review: Introduction to Geometry by H. S. M. Coxeter". The Journal of Philosophy . 60 1 ): 19–21. doi :10.2307/2023059 . JSTOR 2023059 .
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R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Harold_Scott_MacDonald_Coxeter&oldid=1126514790 " C a t e g o r i e s : ● 1 9 0 7 b i r t h s ● 2 0 0 3 d e a t h s ● C o m p a n i o n s o f t h e O r d e r o f C a n a d a ● F e l l o w s o f t h e R o y a l S o c i e t y ● F e l l o w s o f t h e R o y a l S o c i e t y o f C a n a d a ● B r i t i s h g e o m e t e r s ● C h i r a l i t y ● P o l y t o p e s ● 2 0 t h - c e n t u r y E n g l i s h m a t h e m a t i c i a n s ● R e c r e a t i o n a l m a t h e m a t i c i a n s ● A l u m n i o f T r i n i t y C o l l e g e , C a m b r i d g e ● U n i v e r s i t y o f T o r o n t o f a c u l t y ● C a n a d i a n m a t h e m a t i c i a n s ● P e o p l e f r o m H a r p e n d e n ● A c a d e m i c s o f t h e U n i v e r s i t y o f E a s t A n g l i a ● S e n i o r W r a n g l e r s ● P r e s i d e n t s o f t h e C a n a d i a n M a t h e m a t i c a l S o c i e t y ● C a n a d i a n F e l l o w s o f t h e R o y a l S o c i e t y H i d d e n c a t e g o r i e s : ● W i k i p e d i a a r t i c l e s i n c o r p o r a t i n g a c i t a t i o n f r o m t h e O D N B ● A l l a r t i c l e s w i t h d e a d e x t e r n a l l i n k s ● A r t i c l e s w i t h d e a d e x t e r n a l l i n k s f r o m O c t o b e r 2 0 2 2 ● A r t i c l e s w i t h p e r m a n e n t l y d e a d e x t e r n a l l i n k s ● C S 1 : l o n g v o l u m e v a l u e ● A r t i c l e s w i t h s h o r t d e s c r i p t i o n ● S h o r t d e s c r i p t i o n i s d i f f e r e n t f r o m W i k i d a t a ● U s e d m y d a t e s f r o m A p r i l 2 0 2 2 ● P a g e s u s i n g T e m p l a t e : P o s t - n o m i n a l s w i t h m i s s i n g p a r a m e t e r s ● A r t i c l e s w i t h m i s s i n g f i l e s ● P a g e s u s i n g i n f o b o x p e r s o n w i t h m u l t i p l e s p o u s e s ● A r t i c l e s w i t h h C a r d s ● A r t i c l e s w i t h F A S T i d e n t i f i e r s ● A r t i c l e s w i t h I S N I i d e n t i f i e r s ● A r t i c l e s w i t h V I A F i d e n t i f i e r s ● A r t i c l e s w i t h W o r l d C a t E n t i t i e s i d e n t i f i e r s ● A r t i c l e s w i t h B N F i d e n t i f i e r s ● A r t i c l e s w i t h B N F d a t a i d e n t i f i e r s ● A r t i c l e s w i t h G N D i d e n t i f i e r s ● A r t i c l e s w i t h J 9 U i d e n t i f i e r s ● A r t i c l e s w i t h L C C N i d e n t i f i e r s ● A r t i c l e s w i t h L i b r i s i d e n t i f i e r s ● A r t i c l e s w i t h N D L i d e n t i f i e r s ● A r t i c l e s w i t h N K C i d e n t i f i e r s ● A r t i c l e s w i t h N T A i d e n t i f i e r s ● A r t i c l e s w i t h P L W A B N i d e n t i f i e r s ● A r t i c l e s w i t h C I N I I i d e n t i f i e r s ● A r t i c l e s w i t h D B L P i d e n t i f i e r s ● A r t i c l e s w i t h M A T H S N i d e n t i f i e r s ● A r t i c l e s w i t h M G P i d e n t i f i e r s ● A r t i c l e s w i t h Z B M A T H i d e n t i f i e r s ● A r t i c l e s w i t h R K D a r t i s t s i d e n t i f i e r s ● A r t i c l e s w i t h D T B I O i d e n t i f i e r s ● A r t i c l e s w i t h S U D O C i d e n t i f i e r s
● T h i s p a g e w a s l a s t e d i t e d o n 9 D e c e m b e r 2 0 2 2 , a t 1 9 : 3 2 ( U T C ) . ● T h i s v e r s i o n o f t h e p a g e h a s b e e n r e v i s e d . B e s i d e s n o r m a l e d i t i n g , t h e r e a s o n f o r r e v i s i o n m a y h a v e b e e n t h a t t h i s v e r s i o n c o n t a i n s f a c t u a l i n a c c u r a c i e s , v a n d a l i s m , o r m a t e r i a l n o t c o m p a t i b l e w i t h t h e C r e a t i v e C o m m o n s A t t r i b u t i o n - S h a r e A l i k e L i c e n s e . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
