Dissections: Plane and Fancy

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Cambridge University Press, 3 февр. 2003 г. - Всего страниц: 310
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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. 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.
 

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Содержание

4
21
5
29
6
43
7
52
8
66
9
72
10
93
Just Tessellating
105
The New Breed
207
When Polygons Arent Regular
221
On to Solids
230
Cubes Rationalized
247
16
254
Prisms Reformed
258
Cheated Bamboozled and Hornswoggled
268
Solutions to All Our Problems
278

Plain OutStripped
117
13
142
14
157
Farewell My Lindgren
187
15
192

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