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Topic: Harold Scott MacDonald Coxeter

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	Coxeter, Harold Scott MacDonald (1907-2003)
		In 1926, at the age of 19, Coxeter discovered a new regular polyhedron, having six hexagonal faces at each vertex.
		Coxeter was a close friend of the artist M. Escher, whom he met in 1954, and also of Buckminster Fuller, who used Coxeter's ideas in his architecture.
		Indeed Coxeter's work was motivated by a strong artistic temperament and a sense of what is beautiful.
	www.daviddarling.info /encyclopedia/C/Coxeter.html (340 words)

	New York Times obituary obituary (Site not responding. Last check: 2007-09-21)
		Harold Scott MacDonald Coxeter, a mathematician who was hailed as one of the foremost geometricians of his generation and whose ideas inspired the drawings of M. Escher and influenced the architecture of R. Buckminster Fuller, died on March 31 in his home in Toronto.
		Coxeter, whose childhood fascination with symmetry led to his career in mathematics, was driven by the idea that beautiful explanations exist for all puzzles.
		Harold Scott McDonald Coxeter, known as Donald, was born in London.
	www-gap.dcs.st-and.ac.uk /~history/Obits2/Coxeter_NYTimes.html (519 words)

	Telegraph \| News \| Donald Coxeter
		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.
		Coxeter showed that the arabesques of intersecting arcs that form the backbones of the fish in the design are based on an arcane formula involving the cosine of an angle and the hyperbolic sine of a logarithmic function; "Escher did it by instinct," Coxeter explained, "I did it by trigonometry."
		Coxeter served as president of the Canadian Mathematical Society (1962-3); as vice president of the American Mathematical Society (1968); and as president of the International Congress of Mathematicians in Vancouver in 1974.
	www.telegraph.co.uk /news/main.jhtml?view=DETAILS&grid=&targetRule=10&xml=/news/2003/04/03/db0301.xml (1473 words)

	Harold Scott MacDonald Coxeter - Wikipedia, the free encyclopedia
		Harold Scott MacDonald "Donald" Coxeter CC (February 9, 1907 - March 31, 2003) is regarded as one of the great geometers of the 20th century.
		Harold Scott MacDonald Coxeter at the Mathematics Genealogy Project
		Harold Scott MacDonald Coxeter at the MacTutor History of Mathematics archive.
	en.wikipedia.org /wiki/Harold_Scott_MacDonald_Coxeter (327 words)

	His vision shaped new dimensions - smh.com.au
		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 showed that the arabesques of intersecting arcs that form the backbones of the fish in the design are based on an arcane formula involving the cosine of an angle and the hyperbolic sine of a logarithmic function; "Escher did it by instinct," Coxeter explained.
		Harold Scott MacDonald Coxeter, known as Donald, was born into a Quaker family at Kensington, west London.
	www.smh.com.au /articles/2003/04/10/1049567805776.html (1354 words)

	Mathematics meets Art for Prof. Coxeter
		Coxeter, whose voice is still brushed with the sounds of his native England, encounters Escher on something akin to home turf: His colleagues describe Prof.
		Coxeter was one of those prodigies who seem to tumble out of the womb number-crazed.
		Coxeter's most easily identified contribution is something he describes as "the algebraic expression of how many images of an object may be seen in a kaleidoscope." So influential has his thinking been that these equations are now called "Coxeter groups."
	www.math.toronto.edu /coxeter/art-math.html (1065 words)

	science.ca Profile : Harold Scott Macdonald (H. S. M.) Coxeter
		Coxeter’s major contribution to geometry was in the area of dimensional analogy, the process of stretching geometrical shapes into higher dimensions.
		Harold Scott Macdonald (H. M.) Coxeter has 1 activity for you to try in the Activities section.
		Coxeter is a Platonist, a person who believes that beautiful explanations exist for all puzzles; it’s just a matter of someone finding them.
	www.science.ca /scientists/scientistprofile.php?pID=5 (932 words)

	Coxeter
		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.
		Coxeter polytopes are the fundamental domains of discrete reflection groups, now called Coxeter groups, and they give rise to tesselations.
		Harold S M Coxeter was elected an honorary member of the Edinburgh Mathematical Society in 1959.
	sfabel.tripod.com /mathematik/database/Coxeter.html (763 words)

	EducationGuardian.co.uk \| Special Reports \| Obituary: Donald Coxeter
		Donald Coxeter, as he was known, has died at the age of 96.
		Coxeter inspired the Dutchman's circle limit etchings, in which motifs become smaller towards a limiting circle; in 1996, Coxeter demonstrated that the third of the set had arrived at a trigonometrical truth by purely intuitive means.
		From 1989, John Robinson developed Coxeter's conceptions in amazing abstract sculptures, such as Firmament, built from mutually tangential spheres - the artist presented this piece to the mathematician for his 90th birthday in 1997, the year that Coxeter received the Royal Society's Sylvester medal, and was made a Companion of the Order of Canada.
	education.guardian.co.uk /obituary/story/0,12212,943313,00.html (747 words)

	H.S.M. Coxeter (Site not responding. Last check: 2007-09-21)
		H.S.M. Coxeter was born and educated in England, but his professional connections with North America began early.
		Shortly after finishing his doctoral studies at Cambridge University, and while he was a research fellow there, he spent two years as a research visitor at Princeton University.
		Coxeter is also available here at the Great Canadian Scientists Web Site.
	www.math.toronto.edu /coxeter (422 words)

	Regular convex polytopes a short historical overview, Regular Polytopes and n-dimensional packing of points
		Harold Scott MacDonald Coxeter born 9 Feb 1907 in London, England died 31 March 2003 in Toronto, Canada.
		Coxeter has made contributions of major importance in the theory of polytopes, non-Euclidean geometry, group theory and combinatorics.
		There is still an outdated homepage of Coxeter available at the department of mathematics of the university of Toronto.
	presh.com /hovinga/regularandsemiregularconvexpolytopesashorthistoricaloverview.html (2534 words)

	[No title] (Site not responding. Last check: 2007-09-21)
		Escher interacted with Coxeter about the difficulties he was having with representing "infinity" in a finite region.
		Coxeter responded by showing the connection to tilings of the hyperbolic plane.
		Mathematically active until his death, Coxeter recently passed away at the age of 96 (an obituary is here).
	mathnet.kaist.ac.kr /NS/Asset/news_images/art4.htm (274 words)

	COMET - Vol. 4, No. 14 - 25 April 2003
		He attributes the earlier gains, in part, to the fact that from 1982 to 1990, fl and Hispanic students on average increased the number of math courses they took at the level of algebra or higher by almost a full course; white students raised theirs by half a course.
		...Dr. Coxeter had been a teacher and researcher at the University of Toronto since 1936, and he continued to be active in mathematics almost until the hour of his death.
		Some of Dr. Coxeter's work on symmetries of abstract multidimensional geometric objects has been credited with leading to discoveries in molecular structure.
	csmp.ucop.edu /cmp/comet/2003/04_25_2003.html (2530 words)

	About "Donald Coxeter, Mathematician and Geometer" (Site not responding. Last check: 2007-09-21)
		Harold Scott MacDonald Coxeter, Professor Emeritus, Math Dept., Univ. of Toronto, is best known for his work in hyperdimensional geometries and regular polytopes - geometric shapes that extend into the 4th dimension and beyond.
		In 1926 he discovered a new regular polyhedron having six hexagonal faces at each vertex; in 1933 he enumerated the n-dimensional kaleidoscopes; and Coxeter polytopes, the fundamental domains of discrete reflection groups, are now called Coxeter groups.
		The Math Forum is a research and educational enterprise of the Drexel School of Education.
	mathforum.org /library/view/4303.html (97 words)

	Macdonald (Site not responding. Last check: 2007-09-21)
		MacDonald · Callum A. MacDonald · Callum MacDonald · Calum Macdonald · Carina Beth Macdonald · Charles B. MacDonald · Charles Brown MacDonald · Charles Macdonald · Cheryl MacDonald · Chris Macdonald · Claire Macdonald · Clare Macdonald · Clare MacDonald Shaw · Colin Macdonald · D L Macdonald · D.
		MacDonald · Daly MacDonald · Daly MacDonald · Dave Macdonald · Dave Macdonald · David Bruce Macdonald · David Macdonald · David Macdonald · David, Professor Macdonald · David W. Macdonald · Digby Macdonald · Donald MacDonald · Eileen MacDonald · Elisabeth Macdonald · Elizabeth J. Macdonald · Elizabeth Macdonald · F.
		MacDonald · H.MacDonald Steels · Hamish Macdonald · Hannah MacDonald · Harold Scott MacDonald Coxeter · Harriet MacDonald · Heather MacDonald · Hector Macdonald · Helen Macdonald · Hugh Macdonald · I.
	www.books-by-isbn.com /authors/macdonald (306 words)

	RSC: The Academies of Arts, Humanities and Sciences of Canada : Henry Marshall Tory Medal
		I ask permission to present Professor Harold Scott Macdonald Coxeter in absentia for the award of the Henry Marshall Tory Medal.
		Professor Coxeter is one of the most distinguished members of the staff in Mathematics of the University of Toronto.
		He was born in London, England, in 1907 but was sent early in World War I into the country, where he came to the notice of Professor Neville, who arranged to have a colleague, Professor Robson, tutor him and supply him with problems which developed his ingenuity and powers of invention.
	www.rsc.ca /index.php?page=citations_tory&lang_id=1&page_id=146 (12140 words)

	Citations: Dover Publications - Macdonald, Regular (ResearchIndex) (Site not responding. Last check: 2007-09-21)
		1.5 for a proof of this; Scott calls polycyclic by finite groups, M groups.
		....[32] 7.1.5 for a proof of this; Scott calls polycyclic by finite groups, M groups.
		Harold Scott Macdonald Coxeter, Regular Polytopes, Dover Publications, New York, 1973.
	citeseer.ist.psu.edu /context/1668036/0 (605 words)

	Asteroids with Canadian Connections (Site not responding. Last check: 2007-09-21)
		Scott Douglas Young (b.1971-02-18 in Winnipeg, Manitoba,) started doing outreach in astronomy at the age of 16 with the Royal Astronomical Society of Canada, going to schools and doing presentations.
		Scott attended the University of Manitoba and obtained a B.Sc.
		Then Scott took a job at the Manitoba Planetarium in July, 1990, as a show operator, and eventually moved up the ranks to mobile planetarium astronomer and then show producer.
	www.srac.ca /faq/asteroids/home.htm (11012 words)

	References for Coxeter (Site not responding. Last check: 2007-09-21)
		G F D Duff, H. Coxeter Celebrates 90th Birthday, Notices of the American Mathematical Society 44 (3) (1997), 340-341.
		L Fejes Tóth, Some researches inspired by H S M Coxeter, The geometric vein (New York-Berlin, 1981), 271-277.
		I Hargittai, Lifelong symmetry: a conversation with H S M Coxeter, The Mathematical Intelligencer 18 (4) (1996), 35-41.
	www-history.mcs.st-and.ac.uk /history/Printref/Coxeter.html (103 words)

	Sylvester recent winners (2002 - 1962) (Site not responding. Last check: 2007-09-21)
		1997 Harold Scott Macdonald Coxeter, for his achievements in geometry, notably projective geometry, non-euclidean geometry and the analysis of spatial shapes and patterns, and for his substantial contributions to practical group-theory which pervade much modern mathematics.
		1973 John William Scott Cassels, for his numerous important contributions to the theory of numbers.
		1967 Harold Davenport, for his many distinguished contributions to the theory of numbers.
	www.royalsoc.ac.uk /page.asp?id=1766 (433 words)

	[No title] (Site not responding. Last check: 2007-09-21)
		To really learn about regular polytopes, you have to go to the source: the king of geometry, Harold Scott Macdonald Coxeter - among other things, he's the guy who thought up some of the cool patterns in Escher's prints.
		For that you should read Coxeter's books, or if you're in a rush, my webpage: ~ 7) John Baez, Platonic solids in all dimensions, http://math.ucr.edu/home/baez/platonic.html ~ Instead, I'll just talk about a cool relationship between my two favorite 4d regular polytopes: the 24-cell and the 600-cell.
		Coxeter calls it s{3,4,3}, but it really deserves a more glamorous name.
	www.infomag.ru:8082 /dbase/B003E/000821-034.txt (2673 words)

	H. S. M. Coxeter Award for Mathematics (Site not responding. Last check: 2007-09-21)
		The H. Coxeter Award for Mathematics honors Rowan University students showing unusually high levels of mathematical creativity and insight.
		The H. Coxeter Award for Mathematics is sponsored and administered by
		Christopher S. Simons, Ph.D. While other mathematicians are consulted during the selection process, the award is not associated with any other entities.
	users.rowan.edu /~simons/award.html (109 words)

	DVD Booty - Scott Macdonald Movies
		Arr, you be here: Stars > M > Scott Macdonald
		Scott MacDonald not only played Rollins on Voyager, but he's also appeared in the Star Trek: Th...
		Scott MacDonald (I) - Filmography, Awards, Biography, Agent, Discussions, Photos, News Articles, Fa...
	www.dvdbooty.com /stars/scott-macdonald (68 words)

	Mathe-Board (Site not responding. Last check: 2007-09-21)
		Ich denke schon, zumal es nicht so viele Coxeters gibt :-) Harold Scott MacDonald ("HSM") Coxeter, bereits 96 Jahre alt.
		It is with deep regret that I announce that Donald Coxeter
		Coxeter has made contributions of fundamental importance to the
	www.emath.de /Mathe-Board/messages/4/1544.html (215 words)

	Coxeter biography
		of the names resulted in Harold Scott MacDonald Coxeter.
		He received nine honorary doctorates and was a Fellow of the
		Coxeter had many artistic gifts, particularly in music.
	www-groups.dcs.st-and.ac.uk /~history/Biographies/Coxeter.html (692 words)

	Fundamental Concepts of Geometry (Site not responding. Last check: 2007-09-21)
		Unless otherwise announced or arranged, the final exam lasts from 10:15 am until 12:15 pm on Wednesday December 7.
		At least one text is required: Harold Scott MacDonald "Don" Coxeter.
		You should consult the homework and announcements for supplementary readings.
	homepages.wmich.edu /~drichter/ma3400fall05info.htm (559 words)

	[No title]
		For that you should read Coxeter's books, or if you're in a rush, my webpage: 7) John Baez, Platonic solids in all dimensions, http://math.ucr.edu/home/baez/platonic.html Instead, I'll just talk about a cool relationship between my two favorite 4d regular polytopes: the 24-cell and the 600-cell.
		Now as we've seen, in 4 dimensions there is a way to glue 20 tetrahedra together in an icosahedral pattern.
		We get a polytope which has 20 x 24 new tetrahedral faces in addition to the 120 original tetrahedral faces of our s{3,4,3}, for a total of 600.
	www.math.niu.edu /~rusin/known-math/00_incoming/polyh (2623 words)

	The M.E.B. Library Math Section - Geometry (Site not responding. Last check: 2007-09-21)
		29, Bonn, 1967. [This book was from the library of the late Harold Scott MacDonald Coxeter, acquired at the Coxeter Legacy Conference, University of Toronto, May 12-16, 2004, courtesy of Coxeter’s daughter, Susan Thomas.]
		V., Netherlands, 1956. [This book was from the library of the late Harold Scott MacDonald Coxeter, acquired at the Coxeter Legacy Conference, University of Toronto, May 12-16, 2004, courtesy of Coxeter’s daughter, Susan Thomas.]
		Coxeter, H.S.M. The Beauty of Geometry: Twelve Essays Dover Publications, Inc., Mineola, New York, 1999.
	www.sfu.ca /~mbarnes/mathlibrarygeo.htm (2561 words)

	BSHM: Gazetteer -- Acknowledgements and Bibliography (Site not responding. Last check: 2007-09-21)
		Coxeter, Harold Scott Macdonald; Du Val, Patrick; Flather, H. and Petrie, John Flinders (-1972).
		(Univ. of Toronto Press, 1938); [2nd ed,] with new preface by Du Val; Springer, nd [1982]; 3rd ed, reset, with plates redrawn by computer, new Preface by Coxeter and new Foreword by R. Guy, edited by Kate and David Crennell; Tarquin, 1999.
		Scott, J. The Scientific Work of René Descartes.
	www.dcs.warwick.ac.uk /bshm/zingaz/References.html (5241 words)

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