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  1. King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry by Siobhan Roberts, 2006-09-05
  2. The King of Infinite Space, Donald Coxeter the Man Who Saved Geometry - 2006 publication by Sobhan Robrts, 2006-01-01

21. New Page 1
Translate this page donald coxeter. Né à Londres le 9 février 1907, de son vrai nom HaroldScott Macdonald coxeter, il est mieux connu sous le surnom de donald.
http://www.brunette.brucity.be/max/lespages/escher/coxeter.htm
DONALD COXETER Né à Londres le 9 février 1907, de son vrai nom Harold Scott MacDonald Coxeter, il est mieux connu sous le surnom de Donald. Etudiant à l’Université de Cambridge, il obtient sa licence en 1929. En 1931, ayant acquis son doctorat à Cambridge même, il y reste pour poursuivre des recherches. Durant l’année 1936, un poste à l’Université de Toronto s’offre à lui, université pour laquelle il travaille depuis plus de 60 ans. Coxeter a surtout travaillé en géométrie où il a grandement contribué à l’évolution de la théorie des polytopes et à la géométrie non euclidienne. Ces polytopes sont des formes géométriques que l’on augmente d’une dimension, ce procédé étant appelé Dimensional Analogy. Ainsi, il étend la géométrie des polytopes à la quatrième dimension et même au-delà. Ce que motive Coxeter dans ses recherches est la beauté des mathématiques. D’ailleurs, Robert Moody de la York University de Toronto considère que les sciences modernes, dont en font partie les mathématiques, suivent une certaine mode. Ce qu’il trouve de remarquable au style de Coxeter est sa faculté d’échapper à un phénomène de mode et de n’être guidé que par ce qu’est la beauté. De plus, son goût pour les domaines artistiques est aussi marqué par son intérêt pour la musique. En effet, il aurait désiré être compositeur avant de se lancer dans les mathématiques. A l’âge de 14 ans, ayant trop de facilité à l’école, il imagine les formes géométriques en dimensions supérieures et rédige déjà ses premières idées à ce sujet. Son père, grand ami du philosophe Bertrand Russell, amène son fils chez celui-ci. Russell aide Coxeter à se trouver un excellent professeur de mathématiques, le Professeur H.F. Baker de l’Université de Cambridge.

22. Donald Coxeter On John Robinson's Sculpture Firmament
or approximately 1.8832. This gives the radii previously described.donald coxeter, January 1997. Back to Firmament. © Mathematics
http://www.cpm.informatics.bangor.ac.uk/sculpture/pages/donald.html
Coxeter on FIRMAMENT
It is known [H.S.M. Coxeter, 'Loxodromic Sequences of Tangent Spheres', , 1 (1968), pp. 112-117] that, for a sequence of circles s n such that every 4 consecutive members are mutually tangent, the inversive distance d n between s and s n (or between s m and s m+n for any m ) is given in terms of the Fibonacci numbers f n by the formula For the analogous sequence of spheres, such that every 5 consecutive members are mutually tangent, a prize is offered to the first person who provides the analogous formula for the inversive distances between pairs of the spheres. Meanwhile, by taking one pair of adjacent 'spheres' to be a pair of parallel planes, one easily finds that the values of cosh d n are n cosh d n John Robinson's sculpture FIRMAMENT is based on seven such spheres whose radii are in geometric progression; that is, the seven radii are proportional to 1/x , 1/x , 1/ x, 1, x, x , x where x is the root, between 1 and 2, of the quintic equation x - x - x - x - x + 1 = . This equation has a root and the remaining quartic is easily solvable as a quadratic in x + 1/x to give x as
or approximately 1.8832. This gives the radii previously described.

23. Daily Telegraph (London, England) : Obituary Of Donald Coxeter; Geometer Who Ins
Daily Telegraph (London, England) Obituary of donald coxeter; Geometer who inspiredBuckminster Fuller, Escher and Nobel prizewinners and wrote an opera aged
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  • Current Article: Obituary of Donald Coxeter; Geometer who inspired Buckminster Fuller, Escher and Nobel prizewinners and wrote an opera aged 12.(News)(Obituary)
Start D Daily Telegraph (London, England) April 03, 2003 ... Obituary of Donald Coxeter; Geometer who inspired Buckminster Fuller, Escher and Nobel prizewinners and wrote an opera aged 12.(News)(Obituary)
Obituary of Donald Coxeter; Geometer who inspired Buckminster Fuller, Escher and Nobel prizewinners and wrote an opera aged 12.(News)(Obituary)
Daily Telegraph (London, England); April 03, 2003;
Daily Telegraph (London, England)
April 03, 2003
coxeter, work, mathematics, geometric shapes, buckminster fuller, father, donald coxeter, escher, mathematical society, circle limit, flinders petrie, dimensions, regular polytopes, years, coxeter published
DONALD COXETER, who died on Monday aged 96, made fundamental
contributions in the study of multi-dimensional geometric shapes and was
regarded as the greatest classical geometer of his generation.

24. Donald Coxeter
Dear mathematical colleagues of donald coxeter, It is with greatsadness that I have to tell you that on March 31, 2003. donald
http://www.math.yorku.ca/coxeter.htm
Dear mathematical colleagues of Donald Coxeter, It is with great sadness that I have to tell you that on March 31, 2003. Donald passed away peacefully at is home in Toronto at the age of 96. His daughter Susan was at his side as she has been since the death of his beloved wife Rien. Respecting Donald's wishes, there will be no funeral or memorial service, but cremation with only son and daughter present. Family requests not to send any flowers but instead to reflect upon Donald's long and productive life. Rather than dwell in sadness, his death should be a catalyst for people to remember the wonderful things in life and enjoy the life the way he would have wanted it. Susan would like to share with you a recent photo of Donald with his youngest great-grandchild. The bumper sticker encourages us to celebrate Donald's life. I lost a mentor, we lost a colleague, the world lost a mathematician.
Asia Ivic Weiss April 02, 2003

25. Coxeter
donald coxeter is always known as donald which comes from his thirdname Macdonald. This needs a little explanation. He was first
http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Cxtr.htm
Harold Scott MacDonald Coxeter
Born: 9 Feb 1907 in London, England
Show birthplace location Previous (Chronologically) Next Biographies Index
Previous
(Alphabetically) Next Welcome page Donald Coxeter is always known as Donald which comes from his third name MacDonald. This needs a little explanation. He was first given the name MacDonald Scott Coxeter, but a godparent suggested that his father's name should be added, so Harold was added at the front. Another relative noted that H M S Coxeter made him sound like a ship. A permutation of the names resulted in Harold Scott MacDonald Coxeter. Donald was educated at the University of Cambridge, receiving his B.A. in 1929. He continued to study for a doctorate at Cambridge under H F Baker , and this was awarded in 1931. He then became a Fellow continuing his researches at Cambridge. During this period he spent two years as a research visitor at Princeton University working under Veblen . He was Rockefeller Fellow during 1932-33 and Procter Fellow during 1934-35. In 1936 Coxeter took up an appointment at the University of Toronto. He has remained on the faculty at Toronto ever since and recently a celebration was held in the department to celebrate his 60 years at the University of Toronto.

26. C Index
Roger (313*) Coulomb, Charles de (95*) Courant, Richard (116*) Cournot, Antoine(515) Couturat, Louis (130) Cox, Gertrude (295*) coxeter, donald (722*) Craig
http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/C.htm
Names beginning with C
The number of words in the biography is given in brackets. A * indicates that there is a portrait. Cajori , Florian (85*)
, Alberto (879*)
Callippus

Campanus
of Novara (171)
Campbell
, John (74*)
Camus
, Charles (61)
Cantelli
, Francesco (104)
Cantor
, Georg (3100*)
Cantor
, Moritz (498*)
Caramuel
y Lobkowitz, (227)
, Constantin (267*) Carcavi , Pierre de (439) Cardan , Girolamo (2818*) Carlyle , Thomas (372*) Carnot, Lazare Carnot, Sadi Carroll , Lewis (266*) Carslaw , Horatio (525*) Cartan , Elie (406*) Cartan, Henri Cartwright , Dame Mary (110*) Cassels , John (418*) Casorati , Felice (95*) Cassini , Giovanni (309*) Castel , Louis (172) Castelnuovo , Guido (384*) Castigliano , Alberto (456) Castillon , Johann (162) Catalan Cataldi , Pietro (308) Cauchy , Augustin (2467*) Cavalieri , Bonaventura (565*) Cayley , Arthur (1158*) Cech , Eduard (465*) , Ernesto (186) Ceulen , Ludolph van (223) Ceva, Giovanni Ceva, Tommaso Ch'in Chiu-Shao (62) Ch'ung Chi Tsu Chandrasekhar , Subrahmanyan (236*) Chang , Sun-Yung (620*) Chaplygin , Serg (366*) Chapman , Sydney (792*) Chasles , Michel (154*) , Gabrielle du (154*) Chebotaryov , Nikolai (409*) Chebyshev , Pafnuty (255*) Chern , Shiing-shen (627*) Chevalley , Claude (369*) Chi Tsu Ch'ung (127*) Chisholm Young , Grace (112*) Chowla , Sarvadaman (819*) Christoffel , Elwin (1580*) Chrysippus Chrystal , George (2763*) Chu Shih-Chieh (80) Chuquet , Nicolas (299) Church , Alonzo (171*) Civita , Tullio Levi- (418*) Clairaut , Alexis (2087*) Clapeyron , Benoit (525*) Clarke , Samuel (284) Clausen , Thomas (357) Clausius , Rudolf (110*)

27. Donald Coxeter -- Mathematician
Biographical and career data from the Great Canadian Scientists series....... Home Detailed Information. Name donald coxeter Mathematician
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28. H. S. M. Coxeter
HSM coxeter. HSM ( donald ) coxeter (February 9, 1907 March 31, 2003)is generally regarded as the greatest geometer of the 20th century.
http://www.fact-index.com/h/h_/h__s__m__coxeter.html
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H. S. M. Coxeter
H.S.M. ("Donald") Coxeter February 9 March 31 ) is generally regarded as the greatest geometer of the 20th century 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 hyperdimensional geometries. He met Maurits Escher and his work on geometric figures helped inspire some of Escher's works. 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 did postgraduate studies at Princeton University . In he moved to the University of Toronto, becoming a professor in . He was elected a Fellow of the Royal Society in
Works
  • The Real Projective Plane Introduction to Geometry Regular Polytopes Regular Complex Polytopes Non-Euclidean Geometry Geometry Revisited (with S. L. Greitzer, 1967) Projective Geometry (2d ed, 1974) The Beauty of Geometry: Twelve Essays The Fifty-Nine Icosahedra (with P. Du Val, H. T. Flather, J. F. Petrie)

29. Coxeter-James Prize
HSM (donald) coxeter (Seventh President of the CMS 19651967). donald coxeter wasborn in Kensington (London), February 9, 1907. donald coxeter died in 2003.
http://www.cms.math.ca/Prizes/info/cj.html
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Coxeter-James Prize
The Coxeter-James Prize was inaugurated to recognize young mathematicians who have made outstanding contributions to mathematical research. The first award was presented in 1978. Recipients Call for Nominations 2003 Prize 2004 Prize
Biographical Information:
H.S.M. (Donald) Coxeter (Seventh President of the CMS 1965-1967)
Donald Coxeter was born in Kensington (London), February 9, 1907. His parents were Lucy Gee (who painted portraits and landscapes) and Harold Samuel Coxeter (a manufacturer of surgical instruments and anaesthetics, with singing and sculpture as hobbies). He attended Trinity College, Cambridge, from 1926 until 1936, first as a scholar then as a fellow. He studied for his Ph.D. under H.F. Baker and then spent two separate years at Princeton, attending lectures by Weblen, Alexander, Lefschetz, Wedderburn, Eisenhart and Weyl. His first visit to Canada was in 1934, when Gilbert de B. Robinson urged Samuel Beatty to invite him from Princeton to Toronto as a colloquium speaker. Apparently Beatty was sufficiently impressed to send a telegraphic message in 1936 offering Coxeter an assistant professorship. That came just before his marriage to Rien Brouwer, a lovely young lady from The Hague. They travelled by ship to settle in Toronto. During the next fifty years, they crossed the Atlantic Ocean twenty-six times, the first three by ship. Those trips included visiting professorships at Amsterdam, Edinburgh, East Anglia, Canberra, Sussex, Utrecht and Bologna. He was awarded honorary degrees by the universities of Alberta, Waterloo, Acadia, Trent, Toronto, Giessen (Germany), Carleton, McMaster and York. Other honors that he has received include Fellow of the Royal Society of Canada (1948), Fellow of the Royal Society (1950), honorary membership in several mathematical societies, Foreign Member of the American Academy of Arts and Sciences (1990) and, in 1997, Companion of the Order of Canada.

30. Camel
donald coxeter (1907 2003). It is with deep regret that I announcethat donald coxeter passed away Monday evening March 31, 2003.
http://www.cms.math.ca/bulletins/2003/Coxeter.html
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Donald Coxeter (1907 - 2003) It is with deep regret that I announce that Donald Coxeter passed away Monday evening [March 31, 2003]. Donald joined the Department of Mathematics at the University of Toronto in 1936 and he spent the next 67 years actively engaged at the University. He was the soul and spirit and the most active member of the geometry seminar. Donald had been described by many as the greatest living geometer. Undoubtedly the world's best known geometer, Professor Coxeter has made contributions of fundamental importance to the Theory of Polytopes, Non-Euclidean geometry, Discrete Groups, and Combinatorial Theory. He is best known for his introduction of what are now referred to as Coxeter groups. His name is attached to a number of mathematical concepts including the Coxeter diagram, Coxeter complex, Coxeter element, Coxeter graph, Coxeter number, and Coxeter system. Donald was a most prolific writer. He had over 200 publications including several books. His work was influential not only in geometry but also in many other branches of mathematics. Donald cherished the connection to music and arts. He was intimately involved in Escher's work. Donald was widely recognized and honoured. He was a Fellow of the Royal Society of Canada (1947), Fellow of the Royal Society, London (1950), and Companion of the Order of Canada (1997). He holds a number of honorary degrees.

31. The Bukowski Agency - King Of Infinite Space
KING OF INFINITE SPACE THE STORY OF donald coxeter, THE MAN WHO SAVEDGEOMETRY by Siobhan Roberts. King of Infinite Space combines
http://www.thebukowskiagency.com/KingOfInfiniteSpace.htm
KING OF INFINITE SPACE
THE STORY OF DONALD COXETER, THE MAN WHO SAVED GEOMETRY by Siobhan Roberts
King of Infinite Space
combines two best-selling categories, popular science and biography, to reveal the impact of geometry on everyday life and to make geometry accessible through the fascinating life of the world’s greatest living classical geometer.
Columbia University physicist Brian Greene, New York Times best-selling author of The Elegant Universe , declares that geometry is a language crucial to explaining and uncovering the universe in which we live; there is perhaps no better way to anticipate the scientific breakthroughs of the future, he says, than through the knowledge and evolution of geometry. In this sense, for the masses of readers who are eager for books that make science accessible, Coxeter’s biography opens a fascinating new window onto our universe. The story of Donald Coxeter leads to the discovery of how geometry makes a practical impact on our everyday life, and how the world would be different if classical geometry had become extinct.
Placing Donald Coxeter firmly within geometry’s hidden realm and its pantheon of great thinkers

32. Mathe-Board
coxeter Montag abend gestorben ist. Hier eine kurze Mitteilung dazu It is withdeep regret that I announce that donald coxeter passed away Monday evening.
http://www.emath.de/Mathe-Board/messages/4/1544.html?1049368347

33. 60th Royal American Regiment Of Foot
John Broderick, James Gorell, James Mcdonald, George Mckay, Francis Schloffer,Henry coxeter, donald Mcdonald, James Dunfter, Robert McPherfon, John Monins
http://www.geocities.com/RodeoDrive/Mall/3591/list2.html

34. His Vision Shaped New Dimensions - Smh.com.au
April 11 2003. donald coxeter, Geometer 19072003. Harold Scott Macdonald coxeter,known as donald, was born into a Quaker family at Kensington, west London.
http://www.smh.com.au/articles/2003/04/10/1049567805776.html
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His vision shaped new dimensions
April 11 2003 Donald Coxeter, Geometer 1907-2003 Donald Coxeter, who has died aged 96, made fundamental contributions to the study of multidimensional geometric shapes and was regarded as the greatest classical geometer of his generation. Coxeter published in the geometrical field for 70 years, worked professionally at the University of Toronto for 60 years and wrote 12 books and more than 200 articles. He was best known for his work in hyperdimensional geometries and regular polytopes - complicated geometric shapes of any number of dimensions that cannot be constructed in the real world but can be described mathematically and sometimes drawn. In 1926, at 19, he discovered a new regular polyhedron with six hexagonal faces at each vertex. He went on to study the mathematics of kaleidoscopes and, by 1933, had enumerated the n-dimensional kaleidoscopes (kaleidoscopes operating up to any number of dimensions). His complex algebraic equations expressing how many images of an object may be seen in a kaleidoscope are now known as Coxeter groups. Coxeter's work on icosahedral symmetries played an important role in the discovery by scientists at Rice University, Texas, of the Carbon 60 molecule, for which they won the 1996 Nobel Prize in Chemistry. Carbon 60 is now being tested as a superconductor for use in everything from chemotherapy and telecommunications to AIDS research.

35. H. S. M. Coxeter - Encyclopedia Article About H. S. M. Coxeter. Free Access, No
HSM ( donald ) coxeter (February 9 February 9 is the 40th day of the year in theGregorian Calendar. There are 325 days remaining, 326 in leap years. Events.
http://encyclopedia.thefreedictionary.com/H. S. M. Coxeter
Dictionaries: General Computing Medical Legal Encyclopedia
H. S. M. Coxeter
Word: Word Starts with Ends with Definition H.S.M. ("Donald") Coxeter February 9 February 9 is the 40th day of the year in the Gregorian Calendar. There are 325 days remaining, 326 in leap years.
Events
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36. W. W. Rouse Ball - Encyclopedia Article About W. W. Rouse Ball. Free Access, No
ed 1892, later with HSM coxeter HSM ( donald ) coxeter (February 9, 1907 March31, 2003) is generally regarded as the greatest geometer of the 20th century.
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W. W. Rouse Ball
Word: Word Starts with Ends with Definition Walter William Rouse Ball Centuries: 18th century - 19th century - 20th century Decades: 1800s 1810s 1820s 1830s 1840s - Years: 1845 1846 1847 1848 1849 -
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Click the link for more information. August 14 August 14 is the 226th day of the year in the Gregorian Calendar (227th in leap years), with 139 days remaining.
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Click the link for more information. Centuries: 19th century - 20th century - 21st century Decades: 1870s 1880s 1890s 1900s 1910s - Years: 1920 1921 1922 1923 1924 - This is a common year starting on Thursday. (click on link for year)

37. International Vegetarian Union - Famous Vegetarians - Scientists & Physicians
Campbell, T. Colin, Ph.D; Chawla, Dr. Kalpana; Cheyne, George (16711743);Chiewsilp, Dumrong , MD, MPH; coxeter, donald, Mathematician.
http://www.ivu.org/people/writers/scientists.html
International Vegetarian Union (IVU) Famous Vegetarians Note: this list is presented in good faith - we cannot guarantee that any of these people still are, or ever were vegetarian. If you have further information please fill in the form below.
Where a name is in lighter type followed by it is understood that they are no longer, or possibly never were, vegetarian.

38. H. S. M. Coxeter Definition Meaning Information Explanation
com . HSM ( donald ) coxeter (February 9, 1907 - March 31, 2003) isgenerally regarded as the greatest geometer of the 20th century.
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H. S. M. Coxeter
H.S.M. ("Donald") Coxeter February 9 March 31 ) is generally regarded as the greatest geometer of the 20th century He worked for 60 years at the University of Toronto and published twelve books. He was most noted for his work on regular polytope s and hyperdimensional geometries. He met Maurits Escher and his work on geometric figures helped inspire some of Escher's works. 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 did postgraduate studies at Princeton University . In he moved to the University of Toronto, becoming a professor in . He was elected a Fellow of the Royal Society in
Works
  • The Real Projective Plane Introduction to Geometry Regular Polytopes Regular Complex Polytopes Non-Euclidean Geometry Geometry Revisited (with S. L. Greitzer, 1967) Projective Geometry (2d ed, 1974)

39. 1980
Edge. Centre row Luc Teirlinck, Brian Wilson, Mario Marchi, EricLander, Rien coxeter, donald coxeter, Hanfried Lenz. Front row
http://www.maths.sussex.ac.uk/Staff/JWPH/PERSONAL/photos80.html
From the 1980 Isle of Thorns Conference on Finite Geometries and Designs Back row : Ron Graham, Arnold Neumaier, Arjeh Cohen, Richard Weiss, David Glynn, Thomas Beth, JWPH, Jan Saxl, Ernie Shult, Mark Ronan, Norman Biggs, Mike Ganley, W.L. Edge Centre row : Luc Teirlinck, Brian Wilson, Mario Marchi, Eric Lander, Rien Coxeter, Donald Coxeter, Hanfried Lenz Front row : Jef Thas, Frank De Clerck, Stan Payne, Udo Ott, Marshall Hall, Marlene Willems, Wilhelm Haemers, Dina Ghinelli Seated : Kourosh Sadeh [ Back to JWPH's home page. ]

40. H. S. M. Coxeter - Explanation-Guide.info - For Information, Definition, Meaning
explanation). HSM ( donald ) coxeter (February 9, 1907 March 31, 2003)is generally regarded as the greatest geometer of the 20th century.
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Monday, 31st May 2004 UTC Top Meaning H. S. M. Coxeter ...
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H. S. M. Coxeter: Meaning (information, definition, explanation)
H.S.M. ("Donald") Coxeter February 9 March 31 ) is generally regarded as the greatest geometer of the 20th century He worked for 60 years at the University of Toronto and published twelve books. He was most noted for his work on regular polytope s and hyperdimensional geometries. He met Maurits Escher and his work on geometric figures helped inspire some of Escher's works. 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 did postgraduate studies at Princeton University . In he moved to the University of Toronto, becoming a professor in . He was elected a Fellow of the Royal Society in
Works
  • The Real Projective Plane Introduction to Geometry Regular Polytopes Regular Complex Polytopes Non-Euclidean Geometry Geometry Revisited (with S. L. Greitzer, 1967)

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