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         Coxeter Donald:     more detail
  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

1. Graph Theory White Pages Donald Coxeter
Donald Coxeter. http//wwwhistory.mcs.st-andrews.ac.uk/history/Mathematicians/Coxeter.htmlPh.D. 1931 Cambridge; Henry F. Baker
http://www.cs.columbia.edu/~sanders/graphtheory/people/Coxeter.HSM.html

2. 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
http://www-gap.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

3. H. S. M. Coxeter Information Sites
HSM coxeter donald Coxeter Mathematician Biographical and careerdata from the Great Canadian Scientists series. HSM Coxeter
http://numbersorg.com/Geometry/PolyhedraandPolytopes/HSMCoxeter/
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4. Coxeter
Biography of donald coxeter (19070BC) donald coxeter is always known as donald which comes 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
Click the picture above
to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
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.

5. Science.ca Profile : Harold Scott Macdonald (H. S. M.) Coxeter
coxeter, how do you imagine timetravel would work?” asks John Petrie, one ofthe boys. “You mean as in HG Wells?” says donald coxeter, the other boy.
http://www.science.ca/scientists/scientistprofile.php?pID=5

6. Webshots Community - COXETER'S 95TH BIRTHDAY DEDICATION OF A 4D DODECAHEDRON
been donated to the Institute in appreciation of Professor H.S.M. (donald) coxeter's lifelong contributions to geometry.
http://community.webshots.com/album/31382312QjoDSbTHEo
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CLAUDE BERGE PRINCETON CONFERENCE ON DECOMPOSITION OF BERGE GRAPHS 9/8/01-9/11/01 BERGE GRAPHS ARE PERFECT GRAPHS: OHIO STATE UNIVERSITY 7/6/02 PRINCETON UNIVERSITY COXETER'S 95TH BIRTHDAY DEDICATION OF A 4D DODECAHEDRON ASBURY PARK, N.J., 9/11/01 HOME IN PARIS OPERA DE PARIS: PALAIS GARNIER PARIS SCULPTURES; VIEWS FROM JUSSIEU ... Birthdays COXETER'S 95TH BIRTHDAY DEDICATION OF A 4D DODECAHEDRON
February 15, 2002 The Fields Institute is pleased to announce the dedication of a geometric polytope statue which has been donated to the Institute in appreciation of Professor H.S.M. (Donald) Coxeter's lifelong contributions to geometry.
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7. Coxeter
Biography of donald coxeter (1907) from an online History of Mathematics.Category Science Math Geometry Polyhedra and Polytopes People...... donald coxeter is always known as donald which comes from his thirdname Macdonald. This needs a little explanation. He was first
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Coxeter.html
Harold Scott MacDonald Coxeter
Born: 9 Feb 1907 in London, England
Click the picture above
to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index
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.

8. About "Donald Coxeter, Mathematician And Geometer"
donald coxeter, Mathematician and Geometer. Library Home Full Tableof Contents Suggest a Link Library Help Visit this site
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 ... Search
http://mathforum.org/
webmaster@mathforum.org

9. About "Donald Coxeter, Mathematician And Geometer"
donald coxeter, Mathematician and Geometer Visit this site ca/ css/ gcs/ scientists/ coxeter/ coxeter. Great Canadian Scientists (GCS)
http://mathforum.com/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 ... Search
http://mathforum.org/
webmaster@mathforum.org

10. References For Coxeter
References for the biography of donald coxeter References for donald coxeter. Articles D J Albers and G L Alexanderson (eds.), Mathematical People Profiles and
http://www-gap.dcs.st-and.ac.uk/~history/References/Coxeter.html
References for Donald Coxeter
Articles:
  • D J Albers and G L Alexanderson (eds.), Mathematical People: Profiles and Interviews (Boston, 1985), 51-64.
  • H S M Coxeter: published works, The geometric vein (New York-Berlin, 1981), 5-13.
  • The geometric vein (New York-Berlin, 1981), 271-277.
  • I Hargittai, Lifelong symmetry: a conversation with H S M Coxeter, The Mathematical Intelligencer
  • Harold Scott MacDonald Coxeter, Bull. London Math. Soc.
  • Kybernetes Main index Birthplace Maps Biographies Index
    History Topics
    ... Anniversaries for the year
    JOC/EFR October 1997 School of Mathematics and Statistics
    University of St Andrews, Scotland
    The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/history/References/Coxeter.html
  • 11. Coxeter
    Biography of Harold Scott Macdonald coxeter (1907) donald coxeter is always known as donald which comes from his third name Macdonald.
    http://sfabel.tripod.com/mathematik/database/Coxeter.html
    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.

    12. 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.

    13. A Math-hist. Project By Antreas P. Hatzipolakis
    Hans (1906 .) Kahler, Erich (1907- .) coxeter, donald (1909- .) MacLane, Saunders (1909- .) Neumann, Bernhard
    http://mathforum.com/epigone/math-history-list/shukhixyum
    A math-hist. project by Antreas P. Hatzipolakis
    reply to this message
    post a message on a new topic

    Back to math-history-list
    Subject: A math-hist. project Author: xpolakis@otenet.gr Date: Thu, 6 May 1999 23:25:57 +0300 Dave Rusin maintains a math-historical project at: http://www.math.niu.edu/~rusin/known-math/98/MSC.names http://www.math.niu.edu/~rusin/known-math/98/MSC.names The Math Forum

    14. Coxeter Portraits
    Portraits of donald coxeter donald coxeter. JOC/EFR August 2001
    http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Coxeter.html
    Donald Coxeter
    JOC/EFR August 2001 The URL of this page is:
    http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Coxeter.html

    15. Donald Coxeter On John Robinson's Sculpture Firmament
    quadratic in x + 1/x to give x as. or approximately 1.8832. This givesthe radii previously described. donald coxeter, January 1997.
    http://www.bangor.ac.uk/cpm/sculmath/donald.htm
    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 n such that every 4 consecutive members are mutually tangent, the inversive distance n between and n (or between m and 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 n are n cosh 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.

    16. Prix Coxeter-James
    Biographical Information HSM (donald) coxeter (Seventh President of the CMS 19651967).donald coxeter was born in Kensington (London), February 9, 1907.
    http://www.cms.math.ca/Prix/info/cj.html
    accueil à propos de la SMC recherche plan du site ... autres liens
    Prix Coxeter-James
    The Coxeter-James Prize was inaugurated to recognize young mathematicians who have made outstanding contributions to mathematical research. The first prize was awarded in 1978. Recipients Call for Nominations
    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.
    Ralph Duncan James (Fifth President of the CMS 1961-1963)
    Ralph James was born in Liverpool, England, in 1909 and came to Vancouver at a young age. He graduated from the University of British Columbia in 1928 with first class honors in Mathematics, and took a master's degree under Frederick S. Nowlan. Nowlan persuaded and helped him to go to Chicago for a Ph.D. which he completed in 1932 under Leonard Eugene Davidson; his thesis was on Waring's Problem.

    17. Prix Jeffery-Williams
    donald coxeter's letter refers to his absentmindedness . G. de B. Robinsonfirst met Lloyd at the Royal Society meeting in Montreal in 1936.
    http://www.cms.math.ca/Prix/info/jw.html
    accueil à propos de la SMC recherche plan du site ... autres liens
    Prix Jeffery-Williams
    The Jeffery-Williams Prize was inaugurated to recognize mathematicians who have made outstanding contributions to mathematical research. The first prize was awarded in 1968. Recipients Call for Nominations
    Biographical Information:
    Ralph Lent Jeffery (Fourth President of the CMS 1957-1961)
    Ralph Jeffery was born on October 3, 1989 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.

    18. PIMS Changing The Culture 2000: Public Lecture
    Born 9 Feb 1907 in London, England, donald coxeter is always known as donald whichcomes from his third name Macdonald. This needs a little explanation.
    http://www.pims.math.ca/education/2000/CtC/coxeter/
    Changing the Culture 2000: Visualizing Mathematics
    Public Lecture
    The Mathematics in the Art of M.C. Escher
    H.S.M. Coxeter, University of Toronto
    April 28, 2000
    5:00 PM
    Watch lecture now
    using the Real Player software. A few transparencies have
    been scanned to accompany
    this streaming video.
    They appear at approximately:
    after the start. Abstract:
    While the public lecture by H.S.M. Coxeter will touch on various mathematical aspects of M.C. Escher's art, its centre-piece is likely to be an examination of Escher's circular woodcuts. The following is Coxeter's introduction (with two minor verbal substitutions for mathematical notation) to a paper which appeared in the Mathematical Intelligencer , No.4, 1966. Born 9 Feb 1907 in London, England, 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.

    19. Genealogy Percival Family Tree, Cameron, Matheson, Millie, Mitchell, Cooper, Arm
    donald ROSS INDEX Charles coxeter. Family 1 Eliza MORGAN MARRIAGE ABT 1863.
    http://www.cix.co.uk/~potha/d0003/g0000043.htm
    Sarah Ethel WILKINSON
    Family 1 Bernard STALLIBRASS
  • Marjorie STALLIBRASS
  • Kathleen STALLIBRASS Sarah Ethel WILKINSON ... INDEX If you can add to this information please email - Philip Percival
    Alternatively you can visit The World Connect Project for a prettier version which will allow different views and downloads.
    OR try the Dynamic Family Tree created by Michael Horley Created by GED2HTML v2.5b (4/12/96) on Tue Jun 04 20:58:11 2002
    Mary LARGE
    • REFERENCE
    Family 1 Grainger FORTY
    • MARRIAGE : 1816, Stow on the Wold Gloucester England
  • Charles FORTY
  • Sarah FORTY
  • Joseph FORTY
  • John FORTY ... INDEX If you can add to this information please email - Philip Percival
    Alternatively you can visit The World Connect Project for a prettier version which will allow different views and downloads.
    OR try the Dynamic Family Tree created by Michael Horley Created by GED2HTML v2.5b (4/12/96) on Tue Jun 04 20:58:11 2002
    Sydney UNKNOWN
    Family 1 Florence ARMSTRONG
    Sydney UNKNOWN
    INDEX If you can add to this information please email - Philip Percival
    Alternatively you can visit The World Connect Project for a prettier version which will allow different views and downloads.
  • 20. Mathematics Meets Art For Prof. Coxeter
    where Prof. coxeter teaches. But donald coxeter (he uses a shortenedform of his third name, Macdonald) is not done yet. In a book
    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.

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