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. ...
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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.
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Seller's Description:
Fine with no dust jacket. 0521525829. 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.
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Fine. Trade paperback (US). Glued binding. 324 p. Contains: Line drawings. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Seller's Description:
New. Trade paperback (US). Glued binding. 324 p. Contains: Line drawings. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Seller's Description:
324 pp., Paperback, corners lightly bumped, else very good. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.