Piano-Hinged Dissections
Author | : Greg N. Frederickson |
Publisher | : CRC Press |
Total Pages | : 323 |
Release | : 2006-11-30 |
ISBN-10 | : 9781439865897 |
ISBN-13 | : 1439865892 |
Rating | : 4/5 (892 Downloads) |
Download or read book Piano-Hinged Dissections written by Greg N. Frederickson and published by CRC Press. This book was released on 2006-11-30 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The downloadable resources include video recordings of select dissections being transformed accompanies the book.