A New Wrinkle on an Old Problem
A01=Greg N. Frederickson
advanced mathematics education
Author_Greg N. Frederickson
Bottom Level
Cardboard
Category=PB
Category=WDKN
Clip
combinatorial geometry
Congruent Square
Conversion Technique
Dissection Puzzles
Dotted Edges
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equilateral Triangles
Ernest Irving Freese
FIFI to ZULU
folding algorithms for geometric dissections
Follow
geometric transformations
Greek Cross
Hexagons
Hold
Hole in One
Intensive Square
Isosceles Right Triangles
Isosceles Triangles
Latin Cross
mathematical folding techniques
Nifty Feature
Odd
Out of the Loop
Perspective View
polygonal geometry
Previous Dissection
Quad Squad
Regular Polygons
Rotational Symmetry
Saddle Cycles
Small Triangles
spatial reasoning puzzles
Square Tactics
Stack
Stargazing
Staying Rational
Strip Technique
Superposing
Swingers and Twisters
Time to Fold
Triangle
Willing Converts
Product details
- ISBN 9780367446253
- Weight: 453g
- Dimensions: 152 x 229mm
- Publication Date: 27 Apr 2020
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
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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. The downloadable resources include video recordings of select dissections being transformed accompanies the book.
Frederickson, Greg N.
