1. About "Donald Coxeter, Mathematician And Geometer" Donald Coxeter, Mathematician and Geometer. Library Home Full Table of Contents Suggest a Link Library Help. Visit this site http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. UofT Math - Donald Coxeter It is with deep regret that I announce that Donald Coxeter passed away on the evening of March 31, 2003. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. ART WARS April 7, 2003 Donald Coxeter Dies Leader in Geometry By Martin Weil Washington Post Staff Writer Saturday, April 5, 2003 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Poster Of Coxeter Donald Coxeter. was born in 1907. Coxeter s work has been mainly in geometry.In particular he has made contributions of major importance in the theory of http://www-groups.dcs.st-and.ac.uk/~history/Posters2/Coxeter.html

Donald Coxeter was born in 1907 Coxeter 's work has been mainly in geometry. In particular he has made contributions of major importance in the theory of polytopes, non-euclidean geometry, group theory and combinatorics. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Coxeter.html

5. Science.ca Profile Harold Scott Macdonald (H. S. M.) Coxeter "You mean as in H.G. Wells?" says Donald Coxeter, the other boy. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. 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 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Graph Theory White Pages Donald Coxeter Donald Coxeter http//wwwhistory.mcs.st-andrews.ac.uk. .. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. TeledyN Donald Coxeter 1907-2003 TeledyN have blog will travel Donald Coxeter 1907-2003 Saturday, April 5, 2003 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Donald Coxeter On John Robinson's Sculpture Firmament Donald Coxeter, January 1997 Back to Firmament Next Sculpture http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Toronto Life Figure Head His Internationally Renowned Work In But Donald Coxeter hardly seems to care. At 95, he is driven by the same powerful force that has guided his whole life a simple love of math. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Guardian Donald Coxeter Donald Coxeter. Energetic scholar drawing young people into geometric circles Ian Porteous Friday April 25, 2003 Guardian http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. EducationGuardian.co.uk | Special Reports | Obituary: Donald Coxeter Donald Coxeter, as he was known, has died at the age of 96. Harold ScottMacDonald Donald Coxeter, geometrician, born February 9 1907; died March 31 http://education.guardian.co.uk/obituary/story/0,12212,943313,00.html

@import url(/external/styles/global/0,14250,,00.css); Skip to main content Read today's paper Sign in Register Go to: Guardian Unlimited home UK news World news Newsblog Archive search Arts Books Business EducationGuardian.co.uk Film Football The Guide Jobs Life MediaGuardian.co.uk Money The Observer Online Politics Shopping SocietyGuardian.co.uk Sport Talk Travel Audio Email services Special reports The Guardian The northerner The wrap Advertising guide Crossword Soulmates dating Headline service Syndication services Events / offers Help / contacts Feedback Information GNL press office Living our values Newsroom Reader Offers Style guide Travel offers TV listings Weather Web guides Working at GNL Guardian Weekly Money Observer Public Search this site Special report: Obituaries Donald Coxeter Energetic scholar drawing young people into geometric circles Ian Porteous Friday April 25, 2003 The Guardian To generations of schoolchildren, myself included, the name of HSM Coxeter stood for the wonder of geometry. The spectacular images - polyhedra radiating out in star shapes, and rotating rings of tetrahedra - to be found in his revised 11th edition of WW Rouse Ball's marvellous Mathematical Recreations And Essays (1939; 13th edition, 1987) pointed to a mind of outstanding imagination and analytical power. Donald Coxeter, as he was known, has died at the age of 96. Based for most of his life in Toronto, he was the greatest of the remarkable geometers inspired by HF Baker at Cambridge University before the second world war; others included P Du Val, WL Edge and WVD Hodge.

13. Science.ca Profile : Harold Scott Macdonald (H. S. M.) Coxeter says donald coxeter, the other boy. HG Wells’s classic science fiction book TheTime Machine is a popular topic of conversation. http://www.science.ca/scientists/scientistprofile.php?pID=5

14. Science.ca News And Events Canadian Geometer coxeter Dies Posted April 7, 2003. HSM (donald) coxeter diedMarch 31, 2003 at the age of 96. Known as the Greatest Living Classical http://www.science.ca/newsandevents.php

Now listing the profiles for 245 Canadian scientists in 39 areas of expertise. 196 (80%) are men while 49 (20%) are women. News and Events Einstein Festival at University of Waterloo Posted: August 22, 2005 EinsteinFest at the Perimeter Institute explores our rapidly changing civilization at the turn of the century and sets Einstein’s prolific contributions in context with the science, philosophy, politics, art and music of the day. Canadian Scientists Make Photovoltaic Breakthrough Posted: January 10, 2005 Graduate student Steve McDonald working in Ted Sargent's University of Toronto Electrical Computer Engineering group has developed a low-cost plastic-based optoelectronic material that can harvest light energy at about 5 times the efficiency of current photovoltaic cells. What's more the material can be sprayed on clothes or cellphones. The group's discovery was published in Nature Materials this week. California Sturgeon Found in Canadian Waters Posted: December 7, 2004 A lost tribe of green sturgeon has been found as part of the global census of marine life led by Canadian marine biologist Ron O'Dor at Dalhousie U. in Halifax. “Researchers were tagging the sturgeon in the rivers of California. We regarded them as purely river fish, but were unsure quite how far they travelled. Then we got a surprise. The tagged fish started showing up in the open ocean off Vancouver Island in Canada. That kind of thing just makes you think how little we know, even about familiar fish.”

15. Coxeter Biography of donald coxeter (19072003) donald coxeter was always known asdonald which came from his third name Macdonald. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Coxeter.html

Harold Scott MacDonald Coxeter Born: 9 Feb 1907 in London, England Died: 31 March 2003 in Toronto, Canada Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Donald Coxeter was always known as Donald which came 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 remained on the faculty at Toronto until his death. A celebration was held in the department in 1996 to celebrate his 60 years at the University of Toronto.

16. Fields Institute - CRM/Fields Prize - Dawson Previous recipients are HSM (donald) coxeter, George A. Elliott, James Arthur,Robert V. Moody, Stephen A. Cook, Israel Michael Sigal, William T. Tutte, http://www.fields.utoronto.ca/programs/scientific/04-05/crm-fields/

SCIENTIFIC PROGRAMS AND ACTIVITIES August 31, 2005 Home About Us NPCDS/PNSDC Mathematics Education ... Search 2004 CRM-Fields Prize Lecture Professor Donald Dawson, Carleton University/McGill University November 4, 2004 3:30 p.m. Past CRM-Fields Prize Winners CRM-Fields Prize Press Release CRM-Fields Prize - Call for Nominations Stochastic Dynamics of Evolving Populations (audio) January 2004. - The directors of the Donald Dawson in recognition of his exceptional achievement and work in probability. Donald Dawson, this year's recipient, is one of the world's leading probabilists, having made seminal contributions to the study of spatially distributed stochastic processes and infinite-dimensional branching systems, among those being the Dawson-Watanabe superprocess. He received his B.Sc. from McGill in 1958 and his doctorate from MIT in 1963. Professor Dawson taught at both McGill University and Carleton University, where he is now Professor Emeritus. His leadership within the Canadian mathematical community includes a term as Director of the Fields Institute from 1996 to 2000. He is a Fellow of the Royal Society of Canada, as well as of the International Statistical Institute and the Institute of Mathematical Statistics. Other honours include 1991 Gold Medal Lecture of the Statistical Society of Canada, the 1994 Jeffery-Williams lecture of the CMS, an invited lecture at the 1994 ICM, as well as the Fields Institute's Distinguished Lecture Series in the Statistical Sciences. His numerous editorial contributions include serving as co-editor-in-chief of the Canadian Journal of Mathematics. He has served his profession through numerous NSERC and CMS committees, and is currently President-Elect of the Bernoulli Society for Mathematical Statistics and Probability.

17. UofT Math - Donald Coxeter It is with deep regret that I announce that donald coxeter passed away on theevening of March 31, 2003. donald joined the Department of Mathematics at the http://www.math.toronto.edu/news/coxeter.html

It is with deep regret that I announce that Donald Coxeter passed away on the evening of 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.

18. Mathematics Meets Art For Prof. Coxeter But donald coxeter (he uses a shortened form of his third name, Macdonald) isnot done yet. A psychologist might be tempted to relate donald coxeter s http://www.math.toronto.edu/~coxeter/art-math.html

Art is math is art for Professor Coxeter By Stephen Strauss At 89, H.S.M. Coxeter is what he has been his whole professional life: a mathematician inordinately skilled at geometry a master geometer. He has been publishing in the field for 70 years, has worked professionally at the University of Toronto for 60 years, and has nine honorary doctorates, 12 books and 167 published articles to his credit. He is so famous in his field that mathematicians around the world identify the University of Toronto as the school where Prof. Coxeter teaches. But Donald Coxeter (he uses a shortened form of his third name, MacDonald) is not done yet. In a book-rich office, the frail-looking but erect master geometer talks excitedly about his latest project. He is about to publish a paper that proves Dutch graphic artist M.C. Escher got it mathematically perfect in one of his etchings. The work in question is Escher's Circle Limits III . It is an arabesque of intersecting arcs within a circle. For the past three months, Prof. Coxeter has been trying to find out how accurately Escher, who knew almost no mathematics, was able to repeat the same arc angles of intersection. After half a page of trigonometric calculations, he determined that if Escher wanted to construct his painting from mathematical first principles, he would have used an arcane formula involving the cosine of an angle and the hyperbolic sine of a logarithmic function.

19. Donald Coxeter On John Robinson's Sculpture Firmament It is known HSM coxeter, Loxodromic Sequences of Tangent Spheres , This givesthe radii previously described. donald coxeter, January 1997 http://www.popmath.org.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.

20. John Robinson - Firmament On February 9th 1997, the late Professor donald coxeter of the donald coxeter s90th birthday was on February 9, 1997, and FIRMAMENT was given to him as http://www.popmath.org.uk/sculpture/pages/5firm.html

FIRMAMENT "Let there be a Firmament in the midst of the waters, and let it divide the waters." Genesis: Chapter 1: verse 6 On February 9th 1997, the late Professor Donald Coxeter of the University of Toronto celebrated his 90th Birthday. I was delighted that through the generosity of Robert A. Hefner III and Damon de Laszlo, the Fields Institute for Research in Mathematical Sciences placed my Symbolic Sculpture INTUITION outside their building to mark the day. (ADDED LATER: See the bottom of this page for links to obituaries for Professor Coxeter) When I met Donald he told me about a 'geometric progression' that he had discovered, where spheres were 'mutually tangent' (see Coxeter on 'Firmament ). He asked me if I thought it would be possible to use his findings in a sculpture, and explained that the radii of the spheres are, if the unit is a decimetre, 1.5cm, 2.8cm, 5.3cm, 10cm, 18.8cm, 35.5cm, 66.8cm. I could use only the first five spheres as numbers 6 and 7 in the sequence are too big to handle. I had the 5 spheres spun by a wood turner, and only when I put the jigsaw puzzle together was I able to see the miracle that Donald had perceived through his mathematical vision. I mounted the spheres on a vertical rod capped by a plane set at 23.5 degrees to the horizontal plane, and used an

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