The Symmetries of Things
by John H. Conway
2020-06-30 20:59:22
Start with a single shape. Repeat it in some wayâtranslation, reflection over a line, rotation around a pointâand you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described,...
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Start with a single shape. Repeat it in some wayâtranslation, reflection over a line, rotation around a pointâand you have created symmetry. 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. 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.
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