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Plane and Fancy

$45.99 (G)

  • Date Published: February 2003
  • availability: Available
  • format: Paperback
  • isbn: 9780521525824

$ 45.99 (G)

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About the Authors
  • Can you cut an octagon into five 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. Through the ages, geometric dissections have fascinated puzzle fans and great mathematicians alike. Here are dissections known to Plato and exciting new discoveries alike. Greg Frederickson explains solution methods carefully, assuming only a basic knowledge of high school geometry. This beautifully illustrated book provides hours of enjoyment for every mathematical puzzle enthusiast.

    • 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!
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    Reviews & endorsements

    "A beautiful book that entices, entertains, fascinates, and instructs. Collects, organizes, and presents 2000+ years of discovery alongside exciting new contributions. Complete, thorough, fun to read; this will be a classic." - American Mathematical Monthly

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    Product details

    • Date Published: February 2003
    • format: Paperback
    • isbn: 9780521525824
    • length: 324 pages
    • dimensions: 244 x 170 x 17 mm
    • weight: 0.52kg
    • contains: 528 b/w illus.
    • availability: Available
  • Table of Contents

    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.

  • Author

    Greg N. Frederickson, Purdue University, Indiana

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