Dissections: Plane and FancyCambridge University Press, 1997 - 310 páginas 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. |
Índice
4 | 21 |
5 | 29 |
6 | 43 |
7 | 53 |
8 | 66 |
9 | 72 |
10 | 93 |
11 | 109 |
13 | 142 |
Maltese Crosses | 157 |
16 | 172 |
Farewell My Lindgren | 195 |
19 | 215 |
20 | 230 |
21 | 247 |
24 | 278 |
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Términos y frases comunes
6-piece dissection Alfred Varsady angles Chapter Collison's convert corresponding crescent crossposed crossposition cube dashed lines decagon diagonal dimensions dissection Figure dissection in Figure dissection is shown dissection of three dissection puzzles dodecagon dotted lines Dudeney's economical dissection eight pieces enneagon equal four pieces Freese gave give Greek Cross Harry Lindgren Henry Dudeney heptagon hexagon hexagrams internal structure isosceles triangle Lindgren 1964b line segments Loyd Loyd's Maltese Cross mathematics method Move/cut left Move/cut right number of pieces octagon P-slide pair parallelogram pentagons pentagram prism problem quadrilateral rearrange rectangle regular polygon Reid's relationship repetition pattern resulting rhombuses right triangle Robert Reid rotational symmetry Sam Loyd shown in Figure side lengths star step technique strip T-strip element tessellation element tetrahedron Theobald three pieces three squares tion translational trapezoid truncated octahedron upper left corner Varsady's vertex vertices y-triangle z-square
Referencias a este libro
Discrete and Computational Geometry: The Goodman-Pollack Festschrift Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir Vista previa restringida - 2003 |
Discrete and Computational Geometry: Japanese Conference ..., Volumen 2000 Jin Akiyama,Mikio Kano,Masatsugu Urabe No hay ninguna vista previa disponible - 2001 |