{"product_id":"the-symmetries-of-things-9781568812205","title":"The Symmetries of Things","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eStart with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry.\u003c\/p\u003e\u003cp\u003e Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments.\u003c\/p\u003e\u003cp\u003e This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eThe book contains many new results. ... [and] is printed on glossy pages with a large number of beautiful full-colour illustrations, which can be enjoyed even by non-mathematicians.\u003cbr\u003e -- \u003cem\u003eEMS Newsletter\u003c\/em\u003e, June 2009\u003c\/p\u003e\u003cp\u003eOne of the most base concepts of art [is] symmetry. The Symmetries of Things is a guide to this most basic concept showing that even the most basic of things can be beautiful-and addresses why the simplest of patterns mesmerizes humankind and the psychological and mathematical importance of symmetry in ones every day life. The Symmetries of Things is an intriguing book from first page to last, highly recommended to the many collections that should welcome it. \u003cbr\u003e -- \u003cem\u003eThe Midwest Book Review\u003c\/em\u003e, June 2008\u003c\/p\u003e\u003cp\u003eConway, Burgiel, and Goodman-Strauss have written a wonderful book which can be appreciated on many levels. ... [M]athematicians and math-enthusiasts at a wide variety of levels will be able to learn some new mathematics. Even better, the exposition is lively and engaging, and the authors find interesting ways of telling you the things you already know in addition to the things you don't. \u003cbr\u003e -- Darren Glass, \u003cem\u003eMAA Reviews\u003c\/em\u003e, July 2008\u003c\/p\u003e\u003cp\u003eThis rich study of symmetrical things . . . prepares the mind for abstract group theory. It gets somewhere, it justifies the time invested with striking results, and it develops . . . phenomena that demand abstraction to yield their fuller meaning. . . . the fullest available exposition with many new results.\u003cbr\u003e -- D. V. Feldman, \u003cem\u003eCHOICE Magazine \u003c\/em\u003e, January 2009\u003c\/p\u003e\u003cp\u003eThis book is a plaything, an inexhaustible exercise in brain expansion for the reader, a work of art and a bold statement of what the culture of math can be like, all rolled into one. Like any masterpiece, \u003cem\u003eThe Symmetries of Things\u003c\/em\u003e functions on a number of levels simultaneously. . . . It is imperative to get this book into the hands of as many young mathematicians as possible. And then to get it into everyone else’s hands.\u003cbr\u003e -- Jaron Lanier, \u003cem\u003eAmerican Scientist\u003c\/em\u003e, January 2009\u003c\/p\u003e\u003cp\u003eYou accompany the authors as they learn about the structures they so beautifully illustrate on over 400 hundred glossy and full-colour pages. Tacitly, you are given an education in the ways of thought and skills of way-finding in mathematics. . . . The style of writing is relaxed and playful . . . we see the fusing of the best aspects of textbooks—conciseness, flow, reader-independence—with the best bit of popular writing—accessibility, fun, beauty.\u003cbr\u003e -- Phil Wilson, \u003cem\u003ePlus Magazine\u003c\/em\u003e, February 2009\u003c\/p\u003e\u003cp\u003eThis book gives a refreshing and comprehensive account of the subject of symmetry—a subject that has fascinated humankind for centuries. . . . Overall, the book is a treasure trove, full of delights both old and new. Much of it should be accessible for anyone with an undergraduate-level background in mathematics, and is likely to stimulate further interest. \u003cbr\u003e -- Marston Conder, \u003cem\u003eMathematical Reviews\u003c\/em\u003e, March 2009\u003c\/p\u003e\u003cp\u003eInspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, together with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers. \u003cbr\u003e -- \u003cem\u003eL'Enseignement Mathematique\u003c\/em\u003e, December 2009\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eSymmetries of Finite Objects and Plane Repeating Patterns \u003c\/p\u003e\u003cp\u003eSymmetries \u003c\/p\u003e\u003cp\u003ePlanar Patterns \u003c\/p\u003e\u003cp\u003eThe Magic Theorem \u003c\/p\u003e\u003cp\u003eThe Spherical Patterns \u003c\/p\u003e\u003cp\u003eFrieze Patterns \u003c\/p\u003e\u003cp\u003eWhy the Magic Theorems Work \u003c\/p\u003e\u003cp\u003eEuler’s Map Theorem \u003c\/p\u003e\u003cp\u003eClassification of Surfaces \u003c\/p\u003e\u003cp\u003eOrbifolds \u003c\/p\u003e\u003cp\u003eColor Symmetry, Group Theory, and Tilings \u003c\/p\u003e\u003cp\u003ePresenting Presentations \u003c\/p\u003e\u003cp\u003eTwofold Colorations \u003c\/p\u003e\u003cp\u003eThreefold Colorings of Plane Patterns \u003c\/p\u003e\u003cp\u003eSearching for Relations \u003c\/p\u003e\u003cp\u003eTypes of Tilings \u003c\/p\u003e\u003cp\u003eAbstract Groups \u003c\/p\u003e\u003cp\u003eRepeating Patterns in Other Spaces \u003c\/p\u003e\u003cp\u003eIntroducing Hyperbolic Groups \u003c\/p\u003e\u003cp\u003eMore on Hyperbolic Groups \u003c\/p\u003e\u003cp\u003eArchimedean Tilings \u003c\/p\u003e\u003cp\u003eGeneralized Schläfli Symbols \u003c\/p\u003e\u003cp\u003eNaming Archimedean and Catalan Polyhedra and Tilings \u003c\/p\u003e\u003cp\u003eThe 35 \"Prime\" Space Groups \u003c\/p\u003e\u003cp\u003eObjects with Prime Symmetry \u003c\/p\u003e\u003cp\u003eFlat Universes \u003c\/p\u003e\u003cp\u003eThe 184 Composite Space Groups \u003c\/p\u003e\u003cp\u003eHigher Still \u003c\/p\u003e","brand":"Taylor \u0026 Francis Inc","offers":[{"title":"Default Title","offer_id":51020076876119,"sku":"9781568812205","price":74.09,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781568812205.jpg?v=1750782318","url":"https:\/\/bookcurl.com\/products\/the-symmetries-of-things-9781568812205","provider":"Book Curl","version":"1.0","type":"link"}