Piano-hinged Dissections: Time to Fold!



Piano-hinged Dissections: Time to Fold!
This book is about piano-hinged dissections, which are a type of dissection that involve cutting a polygon into pieces in such a way that those pieces form another polygon. The book also includes illustrations that clearly depict the cuts of the dissections and three-dimensional simulations of the dissections in the process of being folded. There is also a CD that includes video recordings of sele... more details
Key Features:
  • Piano-hinged dissections are a type of dissection that involve cutting a polygon into pieces in such a way that those pieces form another polygon.
  • The book includes illustrations that clearly depict the cuts of the dissections and three-dimensional simulations of the dissections in the process of being folded.
  • There is also a CD that includes video recordings of select dissections being transformed.


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Features
Author Greg N. Frederickson
Format Hardcover
ISBN 9781568812991
Publication Date 2006-12-15
Publisher Ak Peters
Manufacturer Ak Peters
Description
This book is about piano-hinged dissections, which are a type of dissection that involve cutting a polygon into pieces in such a way that those pieces form another polygon. The book also includes illustrations that clearly depict the cuts of the dissections and three-dimensional simulations of the dissections in the process of being folded. There is also a CD that includes video recordings of select dissections being transformed.

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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