Hinged Dissections: Swinging and Twisting

ISBN-13: 9780521811927 / Angielski / Twarda / 2002 / 300 str.

Greg N. Frederickson

Opis

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.

Recenzje

Review of the hardback: '… 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

Spis treści

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.