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Frederickson

Dissections

Plane and Fancy

Medium: Buch
ISBN: 978-0-521-52582-4
Verlag: Cambridge University Press
Erscheinungstermin: 10.02.2014
Lieferfrist: bis zu 10 Tage

• Profusely illustrated - over 500 diagrams
• Accessible to anyone with basic knowledge of high school geometry
• Contains many puzzles for the readers, most with solutions but some without!

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. Through the ages, geometric dissections have fascinated puzzle fans and great mathematicians alike. Here you will find dissections known to Plato alongside exciting new discoveries. 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 - famous, not-so-famous, and obscure - 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, from the 1900 Paris Congress of Mathematicians to the night sky of Canberra. This beautifully illustrated book will provide hours of enjoyment for any mathematical puzzle enthusiast.


Produkteigenschaften


  • Artikelnummer: 9780521525824
  • Medium: Buch
  • ISBN: 978-0-521-52582-4
  • Verlag: Cambridge University Press
  • Erscheinungstermin: 10.02.2014
  • Sprache(n): Englisch
  • Auflage: Erscheinungsjahr 2014
  • Produktform: Kartoniert, Paperback
  • Gewicht: 562 g
  • Seiten: 322
  • Format (B x H x T): 170 x 244 x 18 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

1. 'Dat Pussle'; 2. Our geometric universe; 3. Fearful symmetry; 4. It's hip to be a square; 5. Triangles and friends; 6. All polygons created equal; 7. First steps; 8. Step right up!; 9. Watch your step!; 10. Just tessellating; 11. Plain out-stripped; 12. Strips teased; 13. Tessellations completed; 14. Maltese crosses; 15. Curves ahead; 16. Stardom; 17. Farewell, my lindgren; 18. The new breed; 19. When polygons aren't regular; 20. On to solids; 21. Cubes rationalized; 22. Prisms reformed; 23. Cheated, bamboozled, and hornswoggled; 24. Solutions to all our problems.