This work illustrates the many varied and beautiful pictures that may be produced when the seemingly contradictory ideas of symmetry and chaos are combined. The mathematical ideas behind these pictures are presented in an elementary fashion, and computer programs are provided in appendices. These programs allow the reader to generate on a home computer black-and-white versions of the many patterns shown throughout this book.
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"Field and Golubitsky are very good in explaining how equations and natural forces can produce stunning chaotic patterns."--The New York Review of Books "A spectacular picture book with background mathematical information for the reader who wants to explore the theory behind it all."--The Times Higher Education Supplement "Full of beautiful pictures. If Socrates had been able to interrogate Dr. Field and Dr. Golubitsky, his search for wisdom might have ended right there....Takes the reader with no previous knowledge through an impressive array of topics."--American Journal of Physics "Field and Golubitsky are very good in explaining how equations and natural forces can produce stunning chaotic patterns."--The New York Review of Books "A spectacular picture book with background mathematical information for the reader who wants to explore the theory behind it all."--The Times Higher Education Supplement "Full of beautiful pictures. If Socrates had been able to interrogate Dr. Field and Dr. Golubitsky, his search for wisdom might have ended right there....Takes the reader with no previous knowledge through an impressive array of topics."--American Journal of Physics "Field and Golubitsky are very good in explaining how equations and natural forces can produce stunning chaotic patterns."--The New York Review of Books "A spectacular picture book with background mathematical information for the reader who wants to explore the theory behind it all."--The Times Higher Education Supplement "Full of beautiful pictures. If Socrates had been able to interrogate Dr. Field and Dr. Golubitsky, his search for wisdom might have ended right there....Takes the reader with no previous knowledge through an impressive array of topics."--American Journal of Physics "Field and Golubitsky are very good in explaining how equations and natural forces can produce stunning chaotic patterns."--The New York Review of Books "A spectacular picture book with background mathematical information for the reader who wants to explore the theory behind it all."--The Times Higher Education Supplement "Full of beautiful pictures. If Socrates had been able to interrogate Dr. Field and Dr. Golubitsky, his search for wisdom might have ended right there....Takes the reader with no previous knowledge through an impressive array of topics."--American Journal of Physics
A striking full-colour book which explores how combining symmetry and chaos can lead to the construction of remarkable images. This book is an engaging look at the interplay of art and mathematics, and between symmetry and chaos. The underlying mathematics involved in the generation of the images is described.
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