King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry.KING OF INFINITE SPACE: Donald Coxeter, the Man Who Saved Geometry SIOBHAN ROBERTS This book is an homage to Donald coxeter, whose efforts, Roberts asserts, saved classical geometry from virtual elimination from modern mathematics. Roberts, a journalist, details how this mathematical prodigy's work on the principles of symmetry and group theory defended "visual mathematics" during the 1940s, when a group known as the Bourbakis asserted geometry's irrelevance ir·rel·e·vance n. 1. The quality or state of being unrelated to a matter being considered. 2. Something unrelated to a matter being considered. Noun 1. . Coxeter's work, especially his treatise entitled Regular Polytopes This page lists the regular polytopes in Euclidean, spherical and hyperbolic spaces. The Schläfli symbol notation describes every regular polytope, and is used widely below as a compact reference name for each. , went on to influence various people, including Buckminster Fuller, who credits Coxeter's vision in developing his famous geodesic domes. Famed graphic artist M.C. Escher was also known to invoke Coxeter's inspiration. Roberts ends this detailed biography with appendixes on Coxeter groups and diagrams as well as Fibonacci numbers Fibonacci numbers In mathematics, a sequence of numbers with surprisingly useful applications in botany and other natural sciences. Beginning with two 1's, each new term is generated as the sum of the previous two: 1, 1, 2, 3, 5, 8, 13, . . . . and phyllotaxis phyl·lo·tax·y also phyl·lo·tax·is n. pl. phyl·lo·tax·ies also phyl·lo·tax·es 1. The arrangement of leaves on a stem. 2. The principles governing leaf arrangement. . Also included is the text of a lecture by physicist Freeman Dyson Freeman John Dyson FRS (born December 15, 1923) is an English-born American theoretical physicist and mathematician, famous for his work in quantum mechanics, solid-state physics, nuclear weapons design and policy, and for his serious theorizing in futurism and science fiction on "unfashionable pursuits" such as Coxeter's, Walker & Co., 2006, 399 p., hardcover, b&w images, $27.95. |
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