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Editorial Reviews
Review
Conway, 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. --MAA Reviews
This book gives a refreshing and comprehensive account of the subject of symmetry--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. --Mathematical Reviews
This 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, The Symmetries of Things 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. --American Scientist
This book gives a refreshing and comprehensive account of the subject of symmetry--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. --Mathematical Reviews
This 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, The Symmetries of Things 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. --American Scientist
Product Description
Start with a single shape. Repeat it in some way translation, reflection over a line, rotation around a point and 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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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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threefold colorings, kaleidoscopic points, normal cubic lattice, octad group, gyration points, frieze patterns, tetrad group, four fundamental features, chiral part, snub cube, spherical patterns, polyhedral groups, face code, spherical groups, hyperbolic groups, plenary groups, placement code, truncated octahedra, rhombic dodecahedra, duality groups, topological disk, plane patterns, planar patterns, generic presentation, mirror lines Key Phrases - Capitalized Phrases (CAPs): (learn more)
Generalized Schläfli Symbols, Euler's Theorem, Naming Arch, Symmetry Work, Isohedral Types, Archimedean Tilings, The Voronoi, Ath Prime Symmetry, Higher Still, Where Are, Circle Limit, Types of Things, Proof of the Inequivalence Theorem, Other Primefold Colorings, Space Croups, Twofold Colorations, Magic Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
threefold colorings, kaleidoscopic points, normal cubic lattice, octad group, gyration points, frieze patterns, tetrad group, four fundamental features, chiral part, snub cube, spherical patterns, polyhedral groups, face code, spherical groups, hyperbolic groups, plenary groups, placement code, truncated octahedra, rhombic dodecahedra, duality groups, topological disk, plane patterns, planar patterns, generic presentation, mirror lines Key Phrases - Capitalized Phrases (CAPs): (learn more)
Generalized Schläfli Symbols, Euler's Theorem, Naming Arch, Symmetry Work, Isohedral Types, Archimedean Tilings, The Voronoi, Ath Prime Symmetry, Higher Still, Where Are, Circle Limit, Types of Things, Proof of the Inequivalence Theorem, Other Primefold Colorings, Space Croups, Twofold Colorations, Magic Theorem Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
What Do Customers Ultimately Buy After Viewing This Item?
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70% buy the item featured on this page: The Symmetries of Things $60.00 |
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15% buy The Princeton Companion to Mathematics $66.82 |
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7% buy Euler's Gem: The Polyhedron Formula and the Birth of Topology $18.45 |
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4% buy The Mathematical Mechanic: Using Physical Reasoning to Solve Problems $13.57 |
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