Hinged Dissections: Swinging and Twisting

Hinged Dissections: Swinging and Twisting

by Greg N. Frederickson
ISBN-10:
0521010780
ISBN-13:
9780521010788
Pub. Date:
06/10/2010
Publisher:
Cambridge University Press
ISBN-10:
0521010780
ISBN-13:
9780521010788
Pub. Date:
06/10/2010
Publisher:
Cambridge University Press
Hinged Dissections: Swinging and Twisting

Hinged Dissections: Swinging and Twisting

by Greg N. Frederickson

Paperback

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Overview

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. The author includes careful explanation of ingenious new techniques, as well as puzzles and solutions for readers of all mathematical levels. 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.

Product Details

ISBN-13: 9780521010788
Publisher: Cambridge University Press
Publication date: 06/10/2010
Edition description: Reissue
Pages: 300
Product dimensions: 6.69(w) x 9.65(h) x 0.63(d)

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.
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