41. Deodands: Turing's Letter To Coxeter This quote comes from a paper of the wonderful donald coxeter, who quotes it atthe beginning of a paper on (from memory) some of the numbertheoretic http://www.swintons.net/deodands/archives/000111.html

deodands Turing, Fibonacci phyllotaxis, neutron teaspoons and me Main Turing's letter to Coxeter February 03, 2005 Turing Scott Hotton kindly pointed out this Turing quotation: According to the theory I am working on now there is a continuous advance from one pair of parastichy numbers to another, during the growth of a single plant ... You will be inclined to ask how one can move continuously from one integer to another. The reason is this - on any specimen there are different ways in which the parastichy numbers can be reckoned; some are more natural than others. During the growth of a plant the various parastichy numbers come into prominence at different stages. One can also observe the phenomenon in space (instead of in time) on a sunflower. It is natural to count the outermost florets as say 21+34, but the inner ones might be counted as 8+13. Church is hopelessly confused about it all, and I don't know any really satisfactory account, though I hope to get myself one in about a year’s time. (From Coxeter (1972)) This quote comes from a paper of the wonderful Donald Coxeter , who quotes it at the beginning of a paper on (from memory) some of the number-theoretic properties of Fibonacci lattices. He died at 96. (Irritating for me because that was two weeks before I heard of this quote and tired to contact him, but no doubt more irritating for him).

42. H. S. M. Coxeter -- Facts, Info, And Encyclopedia Article Harold Scott Macdonald donald coxeter (February 9, 1907 March 31, 2003) isregarded as one of the great (A mathematician specializing in geometry) http://www.absoluteastronomy.com/encyclopedia/h/h/h._s._m._coxeter.htm

H. S. M. Coxeter [Categories: Members of the Order of Canada, Canadian academics, 20th century mathematicians, Canadian mathematicians, English mathematicians, 2003 deaths, 1907 births] Harold Scott MacDonald "Donald" Coxeter (February 9, 1907 - March 31, 2003) is regarded as one of the great (A mathematician specializing in geometry) geometers of the (Click link for more info and facts about 20th century) 20th century . He was born in (The capital and largest city of England; located on the Thames in southeastern England; financial and industrial and cultural center) London but spent most of his life in (A nation in northern North America; the French were the first Europeans to settle in mainland Canada) Canada He worked for 60 years at the (Click link for more info and facts about University of Toronto) University of Toronto and published twelve books. He was most noted for his work on regular (Click link for more info and facts about polytope) polytope s and higher-dimensional geometries. He met (Click link for more info and facts about Maurits Escher) Maurits Escher and his work on geometric figures helped inspire some of Escher's works. He also inspired some of the innovations of

43. INI : 2000 : Coxeter, 2000-09-18 : Index donald coxeter (UIUC). use frames help first section sound for entire talkas RealAudio 5MB MP3 7MB. section 1 section 2 section 3 section 4 http://www.newton.cam.ac.uk/webseminars/mondays/2000/09/18/coxeter/

Newton Institute Seminars on the Web Monday Seminars > Coxeter, 2000-09-18 18 Sep 2000 Five spheres in mutual contact Donald Coxeter (UIUC) use frames help first section sound for entire talk as: [ RealAudio Newton Institute Seminars on the Web Monday Seminars > Coxeter, 2000-09-18 feedback to: webseminars@newton.cam.ac.uk

44. INI : 2000 : Coxeter, 2000-09-18 : Intro donald coxeter (UIUC). no frames help first section. Sound. To listen toaudio of the entire talk, make a choice from the sound menu (at left). http://www.newton.cam.ac.uk/webseminars/mondays/2000/09/18/coxeter/frame-intro.h

Newton Institute Seminars on the Web Monday Seminars > Coxeter, 2000-09-18 18 Sep 2000 Five spheres in mutual contact Donald Coxeter (UIUC) no frames help first section Sound To listen to audio of the entire talk, make a choice from the sound menu (at left). Otherwise, select a section from the pictures menu and you will be offered the audio that goes with it (if available). You will need a player for the desired format (and speakers, a soundcard, operating system drivers, etc. More help is available. Pictures Select a thumbnail from the menu on the left; The large version will appear here. If the image is too big, you may wish to resize your browser window or adjust the width of the menu. Newton Institute Seminars on the Web Monday Seminars > Coxeter, 2000-09-18 feedback to: webseminars@newton.cam.ac.uk

45. Art Wars, April 7, 2003 donald coxeter Dies Leader in Geometry. By Martin Weil donald coxeter, 96,a mathematician who was one of the 20th century s foremost specialists in http://log24.com/log03/0405.htm

From the archives of Steven H. Cullinane's web journal Log24.net Art Wars: Geometry as Conceptual Art Monday, April 7, 2003, 1:17 PM An Offer He Couldn't Refuse Today's birthday: Francis Ford Coppola is 64. "There is a pleasantly discursive treatment of Pontius Pilate's unanswered question 'What is truth?' The Non-Euclidean Revolution From a website titled simply Sinatra "Then came From Here to Eternity . Sinatra lobbied hard for the role, practically getting on his knees to secure the role of the street smart punk G.I. Maggio. He sensed this was a role that could revive his career, and his instincts were right. There are lots of stories about how Columbia Studio head Harry Cohn was convinced to give the role to Sinatra, the most famous of which is expanded upon in the horse's head sequence in The Godfather . Maybe no one will know the truth about that. The one truth we do know is that the feisty New Jersey actor won the Academy Award as Best Supporting Actor for his work in From Here to Eternity . It was no looking back from then on." From a note on geometry of April 28, 1985:

46. Banff Crag & Canyon, Banff, AB longtime University of Toronto professor donald coxeter had a vast influence on Roberts’ investigation into coxeter’s life traces his early years in http://www.banffcragandcanyon.com/story.php?id=174919

47. Banff Centre Media Release Banff Centre highlights the life of mathematics genius donald coxeter High resolution, downloadable photo of donald coxeter http://www.banffcentre.ca/media_room/media_releases/2005/0721_donald_coxeter.htm

About The Banff Centre Events Programs Facilities ... Need Help? Media Release For immediate release July 21, 2005 Banff Centre highlights the life of mathematics genius Donald Coxeter The Man Who Saved Geometry: A Lecture by Siobhan Roberts Sunday, July 31, 8:00 p.m. Max Bell Auditorium, The Banff Centre , Free A hero in the rarefied circles of pure geometry, long-time University of Toronto professor Donald Coxeter had a vast influence on the mathematics, art, and science of the 20 th century. His work inspired the intricate Circle Limit drawings of M.C. Escher, and the finely balanced design of Buckminster Fuller’s geodesic domes. As a pure mathematician, Coxeter was driven by the beauty of symmetry, but his work found inadvertent application in the Nobel Prize-winning discovery of the carbon 60 molecule and string theory. Known as the man who almost single-handedly rescued classical geometry from its near extinction, Coxeter’s life is the subject of a public talk by Canadian journalist Siobhan Roberts July 31 at The Banff Centre. A National Magazine Award-winning writer, Roberts has been working on a biography of Coxeter, which she began researching and writing before his death in 2003. She will present

48.   The Man Who Saved Geometry: Readings At The Banff Summer Arts Festival 2005 In a mathematical age where the penchant for abstraction almost buried classicalgeometry, donald coxeter stood as a hero to artists, architects, http://www.banffcentre.ca/bsaf/2005/readings/coxeter.htm

About The Banff Centre Events Programs Facilities ... Mountain Culture Contact Us Box Office Media Stay with us Festival brochure Presenting Sponsor Readings The Man Who Saved Geometry: A Lecture by Siobhan Roberts July , 8:00 p.m. Max Bell Auditorium Free Part of Renaissance Banff Banff, Alberta, Canada

49. Festival1 Honorary member of the Symmetry Society, HSM (donald) coxeter passed away onMarch 31. As a commemoration his presentation is to be read. http://www.conferences.hu/symmetry2003/festival1.html

SYMMETRY FESTIVAL 2003 where Science meets Art 16-22 August, 2003, Budapest Hungary Science program: Symmetry: A Synthesis of Constancy and Change Art program series: Ars (Dis)Symmetrica '03 Sponsored by L'Oreal Art and Science Foundation History Budapest hosted first the Symposium and Exhibition series Symmetry of Structure in 1989. That was the birth of the International Society for the Interdisciplinary Study of Symmetry ( ISIS-Symmetry ), start of the journal Symmetry: Culture and Science (published 1990-), and of the formation of local Symmetry Circles in several cities around the world. Similar, widely attended events followed in Japan, the U.S.A., and in Israel. The investigation and conscious application of symmetry shaped a movement bringing together hundreds of artists, scientists, designers and engineers. 14 years later it is time to return to the origins in Europe. The Buda Royal Castle, accommodating the Hungarian National Gallery

50. 60th Royal American Regiment Of Foot St. John Broderick, James Gorell, James Mcdonald, George Mckay, FrancisSchloffer, Henry coxeter, donald Mcdonald, James Dunfter, Robert McPherfon, http://www.geocities.com/RodeoDrive/Mall/3591/list2.html

Officer's of the 60th Royal American Regiment of Foot 60th Royal American Regiment of Foot Captain-Lt.: Alexander Mcbean, Peter Von Ingen, Lewis Ourry, Simeon Ecuyier. Lieutenant: Ensign: Chaplin: Thomas Gawton, W. Nicholfon Jackfon, John Ogilivie, Micheal Schlaetler. Adujant: Thomas Batnfley, James Herring, Patrick McAlpin, Edward Barron. Quartermaster: Donald Campbell, John Dowe, John Peter Rochat, Francis Hutchinfon. Surgeon: *Note the different spellings from other documents. Also note how many Officers with Francis as their first name in the 60th. Source: British Army List of 1761. Public Records Office, London, England. MORE TO COME Click here to come back to our Home Page.

51. 1980 Centre row Luc Teirlinck, Brian Wilson, Mario Marchi, Eric Lander, Rien coxeter,donald coxeter, Hanfried Lenz. Front row Jef Thas, Frank De Clerck, 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. ]

52. About Planes And Distance To A Plane donald coxeter, Introduction to Geometry (2nd Edition), Sect 12.4 Planes andHyperplanes , John Wiley Sons (1989a). donald coxeter, Introduction to http://softsurfer.com/Archive/algorithm_0104/algorithm_0104.htm

Algorithm 4 Home Overview History Algorithms ... Gift Shop About Planes and Distance of a Point to a Plane by Dan Sunday About Planes Plane Equations Computing Parametric Coordinates Distance of a Point to a Plane ... References Here we present basic information about representing planes, and how to compute the distance of a point to a plane. This will be used in algorithms about the Intersections of Lines, Segments and Planes. About Planes A surface is that which has length and breadth only. [Book I, Definition 5] The extremities of a surface are lines. [Book I, Definition 6] A plane surface is a surface which lies evenly with the straight lines on itself. [Book I, Definition 7] If two straight lines cut one another, they are in one plane, and every triangle is in one plane. [Book XI, Proposition 2] If two planes cut one another, their common section is a straight line. [Book XI, Proposition 3] From the same point two straight lines cannot be set up at right angles to the same plane on the same side. [Book XI, Proposition 13]

53. The Institute For Figuring // An Interview With David Henderson And Daina Taimin For instance, after the geometer donald coxeter explained these conceptual modelsto Escher, he used patterns based on these models in several of his prints http://www.theiff.org/lectures/05a.html

Forthcoming Lecture Knot-Theory by Ken Millet at Telic Shea Zellwiger and the Logic Alphabet by Christine Wertheim at Telic Previous IFF Lectures Crocheting the Hyperbolic Plane: A conversation on non-euclidean geometry and feminine handicraft by Dr. Daina Taimina and IFF Director Margaret Wertheim [IFF-L10] Darwinism on a Desktop: Sodaplay and the Evolution of a Digital World by Ed Burton [IFF-L9] The Logic Alphabet by Christine Wertheim [IFF-L8] Why Things Don't Fall Down A Talk About Tensegrities by Robert Connelly [IFF-L7] Kindergarten: By Norman Brosterman [IFF-L6] Crocheting the Hyperbolic Plane [IFF-L5] A Talk by David Henderson and Daina Taimina The Mathematics of Paper Folding [IFF-L4] by Robert Lang The Physics of Snowflakes [IFF-L3] by Kenneth Libbrecht Crocheting the Hyperbolic Plane [IFF-L2] by Daina Taimina and David Henderson The Figure That Stands Behind Figures: Mosaics Of The Mind [IFF-L1] by Robert Kaplan Previous Events KnitOne-PurlOne: A workshop on crocheting the hyperbolic plane.

54. The Institute For Figuring // Online Exhibit: Hyperbolic Space has entered the artistic lexicon through the work of the Dutch artist MCEscher, who was introduced to the concept by the great geometer donald coxeter. http://www.theiff.org/oexhibits/oe1c.html

Hyperbolic Space online exhibit Introduction Parallel Postulate - Poincare Disc Model of Hyperbolic Space Physical Models of Hyperbolic Space Crochet Models Shape of the Universe Associated links Gallery of Crochet Hyperbolic Models Build Your Own Hyperbolic Plane Interview with crocheting mathematicians NPR interview with mathematicians ... Photos from the Machine Project Exhibit Hyperbolic Space Poincare Disc Model of Hyperbolic Space next

55. CBC Radio Quirks Quarks April 05, 2003 donald coxeter from Scientists.ca. Dinosaur Cannibals. Listen to an mp3 of thistopic or download the Ogg file. (what s ogg?) http://www.cbc.ca/quirks/archives/02-03/apr05.html

56. IDEAS December 1998 Calendar A tribute to donald coxeter, the greatest geometer of the 20th century, A true artist in mind and body, donald coxeter has profoundly influenced http://www.cbc.ca/ideas/calendar/1998/98dec.html

57. The Globe And Mail Siobhan Roberts is a Toronto writer whose biography of donald coxeter will bepublished by Penguin in 2005. He s got game http://www.mathcamp.org/GlobeandMail.htm

@import url('/cssv3/net5upcss.css'); Home Business National International ... Cars Search Site Search Tips Finance Careers Subscribe to Globe Breaking News Home Page Business Personal Finance National ... Technology Special Reports RRSP 2004 Photo Desk Small Business Business Travel ... Golf Guide Today's Paper Front Page Report On Business National International ... Headline Index Other Sections Appointments Books Careers Cars ... Travel Advertising Info Advertise with The Globe: Newspaper, Web, and Magazine Services Newspaper Corrections Customer Service Reprints Subscriptions Web site E-mail Newsletters Free Headlines Make Us Home Mobile ... Where to find it TODAY'S PAPER Strength in numbers By SIOBHAN ROBERTS Saturday, August 16, 2003 - Page F4 E-mail this Article Print this Article Advertisement Those campers who have made it out of bed shovel scrambled eggs down the hatch one, seeking optimal efficiency, lowers his mouth to the same horizontal plane as his plate and another day at Mathcamp has begun. In fact, though, there are a few curbs on nocturnal activity. By 10 p.m., campers must sign in to the common room, which by that hour, in the middle of summer, is a hotbed not only of number theory but of very odorous teenagers sweating themselves silly at killer table tennis, chess and Rock Paper Scissors. Campers have to be out of the halls by midnight, but they can gather in their dorm rooms to do what they wish ad infinitum, or at least to the limits of honest computation.

58. Luboš Motl's Reference Frame: Rich Aliens From Strings Yesterday, Canada was told that the work of donald coxeter from Toronto foundapplications in the Nobelprize-winning carbon 60 molecule and string theory. http://motls.blogspot.com/2005/07/rich-aliens-from-strings.html

@import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?blogID=8666091"); @import url(http://www.blogger.com/css/navbar/main.css); @import url(http://www.blogger.com/css/navbar/1.css); Notify Blogger about objectionable content. What does this mean? BlogThis! Luboš Motl's reference frame The most important events in our and your superstringy Universe as seen from Luboš Motl's reference frame Wednesday, July 27, 2005 Rich aliens from strings Totday, the India Daily Technology Team has informed the large Asian country that The superstring theory in contemporary physics proves the existence of parallel universe with many higher dimensions where advanced alien civilizations prosper. Actually, this sentence is the title. Rich aliens seem to be one of the first practical application of string theory; they may live in a new kind of landscape. ;-) Their existence has also been shown by "rich spectroscopy at the Large Hadron Collider" , our Indian colleagues argue and demonstrate it by a photograph of a fully operational collider. After the

59. Newsletter Item ERRATUM. donald coxeter died on 31 March 2003, not 7 April as stated on page 3of the May Newsletter. Back to top LMS Site Contents http://www.lms.ac.uk/newsletter/0306/obituaries.html

ERRATUM Donald Coxeter died on 31 March 2003, not 7 April as stated on page 3 of the May Newsletter. Back to top LMS Site Contents Home Editorial Control: Susan Oakes webmaster@lms.ac.uk Last changed: 05.04.03

60. From Kaleidoscopes To Soccer Balls The worlds of mathematics and art lost a great mind when donald coxeter, said tobe the greatest classical geometer of his generation, died on 31 March 2003 http://plus.maths.org/issue25/news/coxeter/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Latest news Not just knots: the secrets of khipu The Inka way of counting Machine prose A computer program that can learn languages A new time machine Take a journey to the limits of common sense Gene-ius The search for the maths gene Networks: nasty and nice Maths brings down the Mafia The artist's fractal fingerprint Fractal geometry can identify Jackson Pollock's paintings Plus... more news from the world of maths Explore the news archive Subscribe to our free newsletter Get the ... posters! News From kaleidoscopes to soccer balls The worlds of mathematics and art lost a great mind when Donald Coxeter , said to be the greatest classical geometer of his generation, died on 31 March 2003 in Toronto, Canada, aged 96. Coxeter was fascinated by mathematics and art from a young age. He excelled at music, composing an opera when he was just 12, but was diverted from a career in composition to one in mathematics by his appreciation of the beauty of symmetry. He studied at the University of Cambridge and continued there as a research fellow until moving to Canada in 1936 to work at the

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