Hinged Dissections - Greg N. Frederickson

Hinged Dissections

Swinging and Twisting
Buch | Hardcover
300 Seiten
2002
Cambridge University Press (Verlag)
978-0-521-81192-7 (ISBN)
149,60 inkl. MwSt
Explore ways to create hinged collections of pieces that swing together to form a polygon, star, cross or even three-dimensional figures. Swing them another way and, like magic, they form another figure! This book's profuse illustrations and lively text will be accessible to anyone who remembers secondary school geometry.
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 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 techniques, as well as puzzles and solutions for readers of all mathematical levels. If you remember any secondary 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.

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.

Erscheint lt. Verlag 26.8.2002
Verlagsort Cambridge
Sprache englisch
Maße 185 x 243 mm
Gewicht 764 g
Themenwelt Sachbuch/Ratgeber Freizeit / Hobby Spielen / Raten
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 0-521-81192-9 / 0521811929
ISBN-13 978-0-521-81192-7 / 9780521811927
Zustand Neuware
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