Piano-Hinged Dissections: Time to Fold!

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A.K. Peters, Dec 15, 2006 - Mathematics - 303 pages
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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.

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Contents

Whats the Flap?
13
Swingers and Twisters
29
Quad Squad
50

16 other sections not shown

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References to this book

Tribute To A Mathemagician
Barry Cipra
No preview available - 2005

About the author (2006)

Greg N. Frederickson is a professor of computer science at Purdue University. He has written two previous books on dissections, and is considered an international authority on folding unusual polygonal geometries.He also won the 2004 Polya Award of the Mathematical Association of America for a related article.

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