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Hinged Dissections: Swinging and Twisting

Hinged Dissections: Swinging and Twisting


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About the Book

If you enjoy beautiful geometry and relish the challenge and excitement of something new, the mathematical art of hinged dissections is for you. Using this book, you can explore ways to create hinged collections of pieces that swing together to form a figure. Swing them another way and then, like magic, they form another figure! The profuse illustrations and lively text will show you how to find a wealth of hinged dissections for all kinds of polygons, stars and crosses, curved and even three-dimensional figures. For an added challenge, you can try using different kinds of hinges for twisting and flipping pieces. The author includes careful explanation of ingenious new techniques, as well as puzzles and solutions for readers of all mathematical levels. If you remember any high school geometry, you are already on your way. These novel and original dissections will be a gold mine for math puzzle enthusiasts, for math educators in search of enrichment topics, and for anyone who loves to see beautiful objects in motion.

Table of Contents:
Preface; 1. If it ain't got that swing; 2. Hinging on the details; 3. Tricks for turning; 4. Making squares dance; 5. L'affaire triangulaire; 6. Return to polygonia; 7. Who's the squarest of them all?; 8. Stepping around; 9. All in the family; 10. Elation in tessellations; 11. Strips revealed; 12. With a little help from my friends; 13. At cross purposes; 14. Handling the curves; 15. And also starring; 16. Four of a kind; 17. As the whirled turns; 18. A new breed of swingers; 19. Not your regular polygons; 20. Into another dimension; 21. The flip side; 22. Twist and shout!; 23. Puzzles unhinged; Afterword; Bibliography; Index of dissections; General index.

Review :
'... this book is highly recommended. It is extremely readable, attractively presented and there is hardly a page devoid of eye-catching illustrations. The enthusiasm of the author for his subject is evident throughout, yet he never allows this to transgress upon the thoroughness with which he treats his subject.' The Mathematical Gazette '... can be read as a research monograph in discrete geometry ... but also as a leisure-time book for everybody interested in geometrical puzzles and patterns, in ingenious and surprising constructions, that is, for all who love the beauty and diversity of geometrical objects.' Internationale Mathematische Nachrichten



Product Details
  • ISBN-13: 9780521811927
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 243 mm
  • No of Pages: 300
  • Returnable: N
  • Spine Width: 22 mm
  • Weight: 730 gr
  • ISBN-10: 0521811929
  • Publisher Date: 26 Aug 2002
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Sub Title: Swinging and Twisting
  • Width: 185 mm


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