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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. MathWorld News: Geometry Loses One Of Its Most Eloquent Expositors
donald coxeter is survived by his daughter Susan Thomas and his son Edgar.coxeter s mathematical legacy lives on through his work and his many writings,
http://mathworld.wolfram.com/news/2003-04-02/coxeter/
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MathWorld Headline News
Geometry Loses One of Its Most Eloquent Expositors
By Eric W. Weisstein
April 2, 2003Noted geometer and author H. S. M. Coxeter passed away peacefully at his home in Toronto on March 31. He was 96. Known to friends and colleagues as "Donald," Harold Scott MacDonald Coxeter was originally to be named "MacDonald Scott" until a godparent suggested that his father's name "Harold" be added as his first name. At this point, another relative pointed out that "Harold MacDonald Scott" would give him the same initials as "Her Majesty's Ship" (as in, for example, Gilbert and Sullivan's well-known H. M. S. Pinafore ), and hence "Harold MacDonald Scott" became "Harold Scott MacDonald." Coxeter was born on February 9, 1907, in London. He was artistically gifted, especially in music, but decided to become a mathematician as a result of his love of the beauty of symmetry, an interest that was reflected in his work throughout his life. Coxeter received his B.A. in mathematics at Cambridge University in 1929, quickly followed by his Ph.D. in 1931. After briefly working as a fellow at Cambridge University and a visiting researcher at Princeton University, Coxeter accepted a position at the University of Toronto in 1936, where he taught and continued his research until his death this year.

22. Coxeter's Loxodromic Sequence Of Tangent Circles -- From MathWorld
coxeter (1968) generalized the sequence to spheres. http//www.bangor.ac.uk/SculMath/image/donald.htm. coxeter, HSM LoxodromicSequences of Tangent
http://mathworld.wolfram.com/CoxetersLoxodromicSequenceofTangentCircles.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
DESTINATIONS About MathWorld About the Author Headline News ... Random Entry
CONTACT Contribute an Entry Send a Message to the Team
MATHWORLD - IN PRINT Order book from Amazon Geometry Plane Geometry Circles ... Circle Chains Coxeter's Loxodromic Sequence of Tangent Circles An infinite sequence of circles such that every four consecutive circles are mutually tangent, and the circles radii , ..., are in geometric progression with ratio where is the golden ratio (Gardner 1979ab). Coxeter (1968) generalized the sequence to spheres SEE ALSO: Arbelos Bowl of Integers Golden Ratio Hexlet ... [Pages Linking Here] REFERENCES: Coxeter, D. "Coxeter on 'Firmament."' http://www.bangor.ac.uk/SculMath/image/donald.htm Coxeter, H. S. M. "Loxodromic Sequences of Tangent Spheres." Aequationes Math. Gardner, M. "Mathematical Games: The Diverse Pleasures of Circles that Are Tangent to One Another." Sci. Amer. , 18-28, Jan. 1979a. Gardner, M. "Mathematical Games: How to be a Psychic, Even if You are a Horse or Some Other Animal."

23. Prix Coxeter-James
HSM (donald) coxeter (Seventh President of the CMS 19651967). donald coxeterwas born in Kensington (London), February 9, 1907. His parents were Lucy Gee
http://www.smc.math.ca/Prix/info/cj.html
accueil à propos de la SMC recherche plan du site ... autres liens
Prix Coxeter-James
Le prix Coxeter-James rend hommage aux jeunes mathématiciens qui se sont distingués par l'excellence de leur contribution à la recherche mathématique. Il a été décerné pour la première fois en 1978. Titulaires Appel de candidatures Prix 2004 Prix 2005
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.

24. Prix Jeffery-Williams
donald coxeter s letter refers to his absentmindedness . G. de B. Robinson firstmet Lloyd at the Royal Society meeting in Montreal in 1936.
http://www.smc.math.ca/Prix/info/jw.html
accueil à propos de la SMC recherche plan du site ... autres liens
Prix Jeffery-Williams
Le prix Jeffery-Williams rend hommage aux mathématiciens qui se sont distingués par l'excellence de leur contribution à la recherche mathématique. Il a été décerné pour la première fois en 1968. Titulaires Appel de candidatures Prix 2005 Prix 2006
Biographical Information:
Ralph Lent Jeffery (Fourth President of the CMS 1957-1961)
Ralph Jeffery was born on October 3, 1889 in Overton, Yarmouth County, Nova Scotia. He left school in the middle of Grade 8 to join his father as a fisherman. However, at age 21 he sent out to up-grade his academic qualifications and was soon Principal of Port Maitland High School. He married Nellie Churchill of Overton who encouraged him to enroll in Acadia University. Graduating in 1921 with a major in economics and having taken one course in Calculus and one in Analytic Geometry, he embarked on graduate work in mathematics at Cornell followed by a year at Harvard. Except for a leave in 1928 when he completed a Ph.D. at Cornell and one term in 1938 acting as Head of Mathematics at the University of Saskatchewan, he served as Head of Mathematics at Acadia from 1924 to 1942. He was elected a Fellow of the Royal Society of Canada in 1937. Jeffery accepted the position of Head of Mathematics at Queen's University in 1942 partly in order to get closer to mathematics research activity. He encouraged good undergraduate teaching, built up a flourishing research and graduate program and served for many years as Chair of the Board of Graduate Studies. His contributions to Queen's University were commemorated in the naming of Jeffery Hall. Upon his retirement in 1960, Jeffery returned to an active teaching role at Acadia until his death in 1975. In his 85th year, he taught three full courses! His first wife died in 1956 and, in 1970, he married Frances Lewis of Bedford.

25. Graph Theory White Pages Donald Coxeter
www.graphtheory.com graph theory white pages coxeter, HSM.
http://www1.cs.columbia.edu/~sanders/graphtheory/people/Coxeter.HSM.html
Use the Search Engine
to get to the new data.

26. About "Donald Coxeter, Mathematician And Geometer"
donald coxeter, Mathematician and Geometer. _Library Home Full Table of Contents Suggest a Link Library Help
http://mathforum.org/library/view/4303.html
Donald Coxeter, Mathematician and Geometer
Library Home
Full Table of Contents Suggest a Link Library Help
Visit this site: http://www.science.ca/css/gcs/scientists/Coxeter/coxeter.html Author: Great Canadian Scientists (GCS) Description: 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. Levels: High School (9-12) College Languages: English Math Topics: Higher-Dimensional Geometry Non-Euclidean Geometry Projective Geometry Transformational Geometry ... Help
http://mathforum.org/

27. The Math Forum - Math Library - Non-Euclidean Geom.
donald coxeter, Mathematician and Geometer Great Canadian Scientists (GCS)Harold Scott Macdonald coxeter, Professor Emeritus, Math Dept.,
http://mathforum.org/library/topics/noneuclid_g/
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    Covers Euclid's Elements through the end of the 1800's, with 23 references (books/articles). more>>
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  • An Artist's Timely Riddles - Ivars Peterson - Science News Online The late 19th and early 20th centuries were a time of great popular interest in visualizing a fourth spatial dimension - a concept that appeared to offer painters and sculptors, in particular, an avenue of escape from conventional representation. Moreover, ...more>>
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  • 28. Telegraph | News | Donald Coxeter
    Daily news from the UK, business news, countryside news, UK technology news,obituaries and UK education news telegraph.co.uk, UK online newspaper.
    http://www.telegraph.co.uk/news/main.jhtml?view=DETAILS&grid=&targetRule=10&xml=

    29. Harold Scott MacDonald Coxeter - Wikipedia, The Free Encyclopedia
    Harold Scott Macdonald donald coxeter, CC , Ph.D. , D.Math. , FRS (February 9,1907 March 31, 2003) is regarded as one of the great geometers of the
    http://en.wikipedia.org/wiki/H._S._M._Coxeter
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    Harold Scott MacDonald Coxeter
    From Wikipedia, the free encyclopedia.
    (Redirected from H. S. M. Coxeter Harold Scott MacDonald "Donald" Coxeter February 9 March 31 ) is regarded as one of the great geometers of the 20th century . He was born in London but spent most of his life in Canada 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 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 In he was made a Companion of the Order of Canada edit
    Works
    • The Real Projective Plane Introduction to Geometry Regular Polytopes Regular Complex Polytopes Non-Euclidean Geometry Geometry Revisited (with S. L. Greitzer

    30. Harold Scott MacDonald Coxeter - Wikipedia, The Free Encyclopedia
    (Redirected from HSM coxeter). Harold Scott Macdonald donald coxeter, CC , Ph.D., D.Math. , FRS (February 9, 1907 March 31, 2003) is regarded as one of
    http://en.wikipedia.org/wiki/H.S.M._Coxeter
    Wikimedia needs your help in its 21-day fund drive. See our fundraising page
    Over US$145,000 has been donated since the drive began on 19 August. Thank you for your generosity!
    Harold Scott MacDonald Coxeter
    From Wikipedia, the free encyclopedia.
    (Redirected from H.S.M. Coxeter Harold Scott MacDonald "Donald" Coxeter February 9 March 31 ) is regarded as one of the great geometers of the 20th century . He was born in London but spent most of his life in Canada 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 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 In he was made a Companion of the Order of Canada edit
    Works
    • The Real Projective Plane Introduction to Geometry Regular Polytopes Regular Complex Polytopes Non-Euclidean Geometry Geometry Revisited (with S. L. Greitzer

    31. Database Of Mathematical Problems
    donald coxeter deceased. Posted 200304-06 005104 by mnemo The great mathematician,and according to many world-leading geometer, donald coxeter passed
    http://problems.mnemo.nu/
    main list all members Database of Mathematical Problems Search: [advanced] Username: Password: Remember login ...or Create New Account
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    Below are some math related news items. We try to cover all major math events, such as Field and Nevanlinna medal awards aswell as new proofs for famous/fun/important theorems etc. If you have something you think is interesting enough mail to us Enjoy! Recent contributions
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    Abelian Subgroup Prob. ... Equi-Integrability Most frequently viewed Real Roots f(f(x))=sin(x) Perfect Partitions Consecutive integers ... y^2 + 2 = x^3 The Rise of Computer Proofs Posted 2005-04-06 11:56:14 by mnemo Are mathematicans leaving the traditional notion of proof? Will the majority, if not all, proofs be generated by computers in the future? The latest issue of The Economist has a great article on this subject where they argue that; the use of computers to prove mathematical theorems is forcing mathematicians to re-examine the foundations of their discipline. Source Proof and Beuty Abel Prize 2005 Posted 2005-04-06 11:48:49 by mnemo The 2005 Abel Prize in mathematics has been awarded to Peter D. Lax of the Courant Institute of Mathematical Sciences at New York University. Lax was awarded the Abel Prize "for his groundbreaking contributions to the theory and application of partial differential equations and to the computation of their solutions." In particular, Lax laid the foundations for the modern theory of nonlinear hyperbolic systems in the 1950s and 1960s. He constructed explicit solutions, identified classes of especially well-behaved systems, and studied of how solutions behave over a long period of time.

    32. International Vegetarian Union - Famous Vegetarians - Scientists & Physicians
    Cheyne, George (16711743); Chiewsilp, Dumrong , MD, MPH; coxeter, donald,Mathematician. The greatest classical geometer of his generation,
    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.

    33. Mathematics Books
    by Rouse Ball donald coxeter Average Customer Review by donald coxeter Samuel Greitzer Average Customer Review. New $23.95 Buy Used from $19.00
    http://geometryalgorithms.com/books_mathematics.shtml
    Mathematics
    Home
    Overview History Algorithms ... Graphics Mathematics History Books Journals Proceedings
    Geometry algorithms and computer graphics uses a lot of math, and many algorithms books assume the reader has some knowledge of basic math (geometry, algebra, trig, etc). The books on this page are not about algorithms; instead they give this math background and more, especially about geometry. Four Colors Suffice: How the Map Problem Was Solved
    by Robin Wilson
    Average Customer Review: New: List:
    Buy Used from:
    The four-color conjecture, formulated in 1852, was among the most popular unsolved problems in mathematics. It stated that only four country colors are needed in any map so that neighboring countries are always colored differently. The first correct proof was completed in 1976 using a computer to verify almost 2000 special irreducible cases. This book describes the history of this problem, and its solution. Standard Mathematical Tables and Formulas (31st Edition)
    by Daniel Zwillinger
    Average Customer Review: New: List:
    Buy Used from:
    This is an essential (and reasonably priced) reference work that puts a wealth of well-organized math formulas and tables at your finger tips. It has extensive coverage of discrete math, trigonometry, geometry, linear algebra, calculus, special functions, numerical methods, probability, and statistics. This may be the best of the **math formula** handbooks with many fundamental geometric computations.

    34. The Bukowski Agency - King Of Infinite Space Print View
    The story of donald coxeter leads to the discovery of how geometry makes a Placing donald coxeter firmly within geometry’s hidden realm and its pantheon
    http://www.thebukowskiagency.com/KingOfInfiniteSpace PV.htm
    THE MAN WHO SAVED GEOMETRY
    by Siobhan Roberts
    80,000 words hardcover
    Proposal and sample now available RIGHTS SOLD
    Canada: Penguin, 2006
    Italy: Rizzoli
    Japan: Hankyu Communications Co.
    Korea: Seung San NATIONAL MAGAZINE AWARD-WINNER WRITES THE FIRST BIOGRAPHY OF A WORLD-FAMOUS AND FASCINATING MATHEMATICAL GENIUS, WHOSE WORK HAS HAD IMPORTANT APPLICATIONS IN MEDICINE, E-COMMERCE, ASTROCHEMISTRY, AND TELECOMMUNICATIONS FOREWORD BY DOUGLAS HOFSTADTER, AUTHOR OF GODEL, ESCHER, BACH
    PREFACE BY JOHN CONWAY, THE JOHN VON NEUMANN PROFESSOR
    OF MATHEMATICS, PRINCETON UNIVERSITY
    The Man Who Saved Geometry 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.

    35. Proposal - Roberts
    The Story of donald coxeter, The Man Who Saved Geometry In the summer of 1954Dr. donald coxeter was loose on a road trip lecture tour across the United
    http://www.thebukowskiagency.com/Proposal-Roberts.htm
    PROPOSAL KING OF INFINITE SPACE
    The Story of Donald Coxeter, The Man Who Saved Geometry by Siobhan Roberts
    Foreword by Douglas Hofstadter, author of Godel, Escher, Bach
    Preface by John Conway, John Von Neumann Professor of Mathematics,
    Princeton University "I could be bounded in a nutshell and count myself a king of infinite space."
    - W. Shakespeare, Hamlet A National Magazine Award winner writes the first biography of a world-famous and fascinating mathematical genius, now 95 years old, whose work has had important applications in medicine, e-commerce, astrochemistry, and telecommunications. King of Infinite Space combines two best-selling categories, popular science and biography, to reveal the impact of geometry on everyday life and make it accessible through the fascinating life of the world's greatest living classical geometer. It is based on the author's article in the January 2003 issue of Toronto Life , as well exclusive access to the subject and his journals, archives, associates, family and friends. "Dr. Coxeter is the geometer of our bestirring 20th century, the spontaneously acclaimed terrestrial curator of the historical inventory of pattern analysis."

    36. New Page 1
    Translate this page donald coxeter. Né à Londres le 9 février 1907, de son vrai nom Harold ScottMacdonald 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.

    37. Sunday July 31, 2005
    HSM (donald) coxeter. Wednesday August 3, 2005. Max Bell Auditorium 800 –1000. donald coxeter The Man who Saved Geometry. Siobhan Roberts
    http://www.sckans.edu/~bridges/2005_Program.html
    Renaissance Banff Conference Program
    Sunday July 31, 2005 Max Bell Auditorium
    Welcoming
    The Renaissance Banff Conference Scientific Organizing Committee
    The Droste-Effect and the Exponential Transform
    Bart de Smit
    Mathematical Analogy and Metaphorical Insight
    Jan Zwicky
    The Man Who Saved Geometry
    Siobhan Roberts
    Reception Max Bell Foyer and Lounge Sunday July 31, 2005 Max Bell Room 1 Session S1 Chair: Carol Bier A Geometric Analysis of the Seven Heavens B. Lynn Bodner Symmetry and the Sacred Date Palm in the Palace of Ashurnasirpal II, King of Assyria Sarah C. Melville Carol Bier Sunday July 31, 2005 Max Bell Room 2 Session S2 Chair: Robert J. Krawczyk SolidifyingWireframes Vinod Srinivasan Esan Mandal Ergun Akleman Abstract Art from a Model for Cellular Morphogenesis Gary R. Greenfield Robert J. Krawczyk Sunday July 31, 2005 Max Bell Room 3 Session S3 Chair: Daniel J. Goldstein Looking at Math: Using Art to Teach Mathematics Pau Atela Pedagogical Principles for Teaching Art in Mathematics Courses Russell Jay Hendel Beauty in Art and Mathematics: A Common Neural Substrate or the Limits of Language?

    38. New Page 1
    Nassif Ghoussoub, mathematician, FRSC, coxeterJames Prize, Scientific Directorof BIRS, donald Crowe, Professor of Mathematics at the University of
    http://www.sckans.edu/~bridges/organizers.html
    Organizers 2006 Conference Organizing Committee Phillip Kent, Research officer in Mathematics Education, London Knowledge Lab, Institute of Education, University of London, UK Reza Sarhangi, Director of the Bridges Conference Series, Graduate Program Director for Mathematics Education, Towson University, Maryland, USA John Sharp, Technical Author and Recreational Mathematician, Adviser and Contributor to the United Kingdom Government's Educational Mathematics Resource sites Advisory Committee Michael Field, Mathematician and Developer of the PRISM software for the design of symmetric patterns based on symmetric chaos. University of Houston, Texas Robert V. Moody, O.C., FRSC, Scientific Director Banff International Research Station for Mathematical Innovation and Discovery 2001-2003, Department of Mathematics and Statistics, University of Victoria, British Colombia, Canada Richard Noss, Professor of Mathematics Education and Director of the London Knowledge Lab, Institute of Education, University of London, UK; Editor of the International Journal of Computers for Mathematical Learning Michael Reiss, Professor of Science Education and Head of the School of Mathematics, Science and Technology, Institute of Education, University of London, UK

    39. His Vision Shaped New Dimensions - Smh.com.au
    donald coxeter, Geometer 19072003 - The Sydney Morning Herald. donald coxeter,who has died aged 96, made fundamental contributions to the study of
    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.

    40. Print Article: His Vision Shaped New Dimensions
    donald coxeter, who has died aged 96, made fundamental contributions to the Harold Scott Macdonald coxeter, known as donald, was born into a Quaker
    http://www.smh.com.au/cgi-bin/common/popupPrintArticle.pl?path=/articles/2003/04

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