Piano-Hinged Dissections: Time to Fold!, 1st Edition (Paperback) book cover

Piano-Hinged Dissections

Time to Fold!, 1st Edition

By Greg N. Frederickson

A K Peters/CRC Press

318 pages

Purchasing Options:$ = USD
Paperback: 9780367446253
pub: 2020-03-31
Available for pre-order. Item will ship after 31st March 2020
$74.95
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Hardback: 9781568812991
pub: 2006-11-30
$74.95
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eBook (VitalSource) : 9780429064722
pub: 2006-11-30
from $37.48


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Description

A dissection involves cutting a polygon into pieces in such a way that those pieces form another polygon; for a hinged dissection, the pieces must be attached by hinges. A piano hinge is "a long narrow hinge with a pin running the entire length of its joint." So, unlike regular hinged dissections, which swing or twist (around single point of hinge), piano-hinged dissections fold along an edge. This book discusses the history, methods, and variations of these dissections and is rich with illustrations that clearly depict the cuts of the dissections and three-dimensional simulations of the dissections in the process of being folded. A CD that includes video recordings of select dissections being transformed accompanies the book.

Table of Contents

1. Time to Fold 2. What’s the Flap? 3. Swingers and Twisters 4. Willing Converts 5. Quad Squad 6. Thinking Inside the Box 7. Hole in One 8. Square Tactics 9. Triangle, Triangle Again 10. Hexagons, Triangles, Squares—Oh My! 11. Out of the Loop 12. From FIFI to ZULU, and Back! 13. Intensive Square 14. Staying Rational 15. Double-Crossed!! 16. Stargazing 17. Manifold Blessings 18. A Mixed Bag 19. Pot Luck 20. Puzzles Unfolded

About the Author

Frederickson, Greg N.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT025000
MATHEMATICS / Recreations & Games