Coxeter, H S M

Coxeter, H S M
▪ 2004
“Donald” 
      British-born Canadian geometer (b. Feb. 9, 1907, London, Eng.—d. March 31, 2003, Toronto, Ont.), was a leader in the understanding of non-Euclidean geometries, reflection patterns, and polytopes (higher-dimensional analogs of three-dimensional polyhedra). His work served as an inspiration for R. Buckminster Fuller's concept of the geodesic dome and, particularly, for the intricate geometric designs of Dutch graphic artist M.C. Escher; in 1997 Coxeter published a paper in which he demonstrated that Escher's 1958 woodcut Circle Limit III was mathematically perfect. Coxeter studied at Trinity College, Cambridge (Ph.D., 1931). In 1936 he joined the faculty of mathematics at the University of Toronto, where he remained until he retired in 1980. Coxeter wrote some 200 papers and a dozen books, including Non-Euclidean Geometry (1942; 6th edition, 1998), Introduction to Geometry (1961), Regular Complex Polytopes (1974; 2nd edition, 1991), and Kaleidoscopes (1995). He was made a fellow of the Royal Society of Canada (1948) and of the British Royal Society (1950) and was named a Companion of the Order of Canada in 1997.

* * *


Universalium. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Coxeter — Harold Coxeter, 1970 Harold Scott MacDonald Coxeter (* 9. Februar 1907 in London; † 31. März 2003 in Toronto) war ein britisch kanadischer Mathematiker. Sein Arbeitsgebiet war die Geometrie, unter anderem beschäftigte er sich mit regulären… …   Deutsch Wikipedia

  • Coxeter — H.S.M. Coxeter Harold Coxeter, 1970 Harold Scott MacDonald «Donald» Coxeter (9 février 1907, Londres 31 mars 2003, Toronto, Canada) est un mathématicien britannique …   Wikipédia en Français

  • Coxeter, H.S.M. — ▪ British mathematician in full  Harold Scott MacDonald Coxeter  born Feb. 9, 1907, London, Eng. died March 31, 2003, Toronto, Can.       British born Canadian geometer, who was a leader in the understanding of non Euclidean geometries (non… …   Universalium

  • Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry …   Wikipedia

  • Coxeter–Dynkin diagram — See also: Dynkin diagram Coxeter Dynkin diagrams for the fundamental finite Coxeter groups …   Wikipedia

  • Coxeter element — Not to be confused with Longest element of a Coxeter group. In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible Coxeter group, hence also of a root system or its Weyl group. It is named after H.S.M.… …   Wikipedia

  • Coxeter graph — This article is about the 3 regular graph. For the graph associated with a Coxeter group, see Coxeter diagram. Coxeter graph The Coxeter graph Vertices 28 Edges 42 …   Wikipedia

  • Coxeter number — In mathematics, the Coxeter number h is the order of a Coxeter element of an irreducible root system, Weyl group, or Coxeter group. DefinitionsThere are many different ways to define the Coxeter number h of an irreducible root system.*The Coxeter …   Wikipedia

  • Coxeter notation — In geometry, Coxeter notation is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group. It uses a bracketed notation, with modifiers to indicate certain subgroups. The notation is… …   Wikipedia

  • Coxeter-Dynkin diagram — In geometry, a Coxeter Dynkin diagram is a graph with labelled edges. It represents the spatial relations between a collection of mirrors (or reflecting hyperplanes), and describes a kaleidoscopic construction.The diagram represents a Coxeter… …   Wikipedia

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”