ABSTRACT
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.
TABLE OF CONTENTS
part Manuscript 1|22 pages
The “Lost” Manuscript of Ernest Irving Freese
part Manuscript 2|37 pages
Freese's Unique Point of View
part Folderol 1|41 pages
A New Wrinkle on an Old Problem
part Manuscript 3|16 pages
Giving Freese His Due
part Folderol 2|22 pages
One Percent Perforation
part Manuscript 4|26 pages
The Many Sides of Ernest Freese
part Folderol 3|50 pages
Maps and Flaps
part Manuscript 5|49 pages
Getting Better All the Time