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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About the Authors:
Michael Field is Reader in Pure Mathematics at the University of Sydney. He has published several books and papers in advanced mathematics. In 1990, he was Visiting Scientist at the Mathematical Sciences Institute, Cornell University.
Martin Golubitsky is Cullen Professor of Mathematics at the University of Houston. He is co-author with Ian Stewart of Fearful Symmetry: Is God a Geometer.

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