Synopsis
Can you cut an octagon into five pieces and rearrange them into a square? How about turning a star into a pentagon? These are just two of the infinite challenges of geometric dissections, the mathematical art of cutting figures into pieces that can be rearranged to form other figures, using as few pieces as possible. Through the ages, geometric dissections have fascinated puzzle fans and great mathematicians alike. Here are dissections known to Plato and exciting new discoveries alike. Greg Frederickson explains solution methods carefully, assuming only a basic knowledge of high school geometry. This beautifully illustrated book provides hours of enjoyment for every mathematical puzzle enthusiast.
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Book Description
Can you cut an octagon into 5 pieces and rearrange them into a square? How about turning a star into a pentagon? These are just two of the infinite challenges of geometric dissections, the mathematical art of cutting figures into pieces that can be rearranged to form other figures, using as few pieces as possible. This book shows you many ingenious ways to solve these problems and the beautiful constructions you can create. The author explains solution methods carefully, assuming only a basic knowledge of high school geometry, then poses puzzles for you to solve. He also introduces the people who have worked on these problems, travelling from the palace school of tenth-century Baghdad to the mathematical puzzle columns in turn-of-the-century newspapers. This beautifully illustrated book will provide hours of enjoyment for any mathematical puzzle enthusiast.
Review
"A beautiful book that entices, entertains, fascinates, and instructs. Collects, organizes, and presents 2000+ years of discovery alongside exciting new contributions. Complete, thorough, fun to read; this will be a classic." - American Mathematical Monthly
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Dissections: Plane and Fancy
Published by
Cambridge University Press, 2003
ISBN 10: 0521525829
ISBN 13: 9780521525824
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Paperback
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Dissections. Plane and Fancy
Published by
Cambridge University Press, Cambridge, 2002
ISBN 10: 0521525829
ISBN 13: 9780521525824
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Original decorated wrappers
First Edition
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Original decorated wrappers. Condition: Fine. Dust Jacket Condition: No Dust Jacket. First Paperback Edition. With illustrations. Light shelfwear. ; "Dissections: Plane and Fancy" by Greg N. Frederickson is a fascinating exploration of geometric dissections, where shapes are cut and rearranged to form other shapes. The book showcases a wide array of dissection puzzles, blending historical context with modern mathematical insights. Frederickson introduces readers to both simple and complex dissections, ranging from ancient Greek problems to those he has devised himself. Frederickson's clear explanations and passion for the subject shine through as he guides the reader through intricate puzzles and their solutions, often improving on the efficiency of historical dissections. The book is richly illustrated, helping to visualize the transformations and understand the underlying principles. "Dissections: Plane and Fancy" is not only a tribute to the beauty of geometric creativity but also a practical guide that encourages readers to engage with the puzzles hands-on. This book is ideal for enthusiasts of mathematics and puzzles, offering both intellectual stimulation and a visual feast of geometric innovation. ; Quarto; xii, 310 pages. Seller Inventory # LCB60988
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Dissections: Plane and Fancy
Published by
Cambridge University Press, 2003
ISBN 10: 0521525829
ISBN 13: 9780521525824
Used
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Dissections (Paperback)
Published by
Cambridge University Press, Cambridge, 2003
ISBN 10: 0521525829
ISBN 13: 9780521525824
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Paperback. Condition: new. Paperback. Can you cut an octagon into 5 pieces and rearrange them into a square? How about turning a star into a pentagon? These are just two of the infinite challenges of geometric dissections, the mathematical art of cutting figures into pieces that can be rearranged to form other figures, using as few pieces as possible. This book shows you many ingenious ways to solve these problems and the beautiful constructions you can create. Through the ages, geometric dissections have fascinated puzzle fans and great mathematicians alike. Here you will find dissections known to Plato alongside exciting new discoveries. The author explains solution methods carefully, assuming only a basic knowledge of high school geometry, then poses puzzles for you to solve. He also introduces the people - famous, not-so-famous, and obscure - who have worked on these problems, travelling from the palace school of tenth-century Baghdad to the mathematical puzzle columns in turn-of-the-century newspapers, from the 1900 Paris Congress of Mathematicians to the night sky of Canberra. This beautifully illustrated book will provide hours of enjoyment for any mathematical puzzle enthusiast. A comprehensive, beautifully illustrated survey accessible to anyone familiar with secondary school geometry. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521525824
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Dissections: Plane and Fancy
Published by
Cambridge University Press, 2003
ISBN 10: 0521525829
ISBN 13: 9780521525824
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Dissections plane & .
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Cambridge, Cambridge University Press, 1997
ISBN 10: 0521525829
ISBN 13: 9780521525824
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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 51 FRE 9780521525824 Sprache: Englisch Gewicht in Gramm: 1150. Seller Inventory # 2506433
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Dissections: Plane and Fancy
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Paperback. Condition: Brand New. 332 pages. 9.25x7.25x0.50 inches. In Stock. This item is printed on demand. Seller Inventory # __0521525829
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Dissections: Plane and Fancy
Published by
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ISBN 10: 0521525829
ISBN 13: 9780521525824
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Dissections: Plane and Fancy
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Cambridge University Press 2003-04-10, 2003
ISBN 10: 0521525829
ISBN 13: 9780521525824
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Dissections: Plane and Fancy
Published by
Cambridge University Press, 2003
ISBN 10: 0521525829
ISBN 13: 9780521525824
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First Edition
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Condition: New. A comprehensive, beautifully illustrated survey accessible to anyone familiar with high school geometry. Num Pages: 324 pages, 528 b/w illus. BIC Classification: PBM; WDK. Category: (G) General (US: Trade); (U) Tertiary Education (US: College). Dimension: 233 x 177 x 16. Weight in Grams: 550. . 2003. 1st Edition. paperback. . . . . Seller Inventory # V9780521525824
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