Geometric folding algorithms : linkages, origami, polyhedra (Book, 2007) [WorldCat.org]
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Geometric folding algorithms : linkages, origami, polyhedra

Author: Erik D Demaine; Joseph O'Rourke
Publisher: Cambridge ; New York : Cambridge University Press, 2007.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
Folding and unfolding problems have been implicit since Albrecht Dürer in the early 1500s, but have only recently been studied in the mathematical literature. Emphasising algorithmic or computational aspects, this treatment of the geometry of folding and unfolding presents over 60 unsolved 'open problems' to spur further research.
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Erik D Demaine; Joseph O'Rourke
ISBN: 9780521857574 0521857570 9780521715225 0521715229
OCLC Number: 76416607
Description: xiii, 472 pages : illustrations (some color) ; 26 cm
Contents: Introduction --
pt. 1. Linkages. Problem classification and examples --
Upper and lower bounds --
Planar linkage mechanisms --
Rigid frameworks --
Reconfiguration of chains --
Locked chains --
Interlocked chains --
Joint-constrained motion --
Protein folding --
pt. 2. Paper. Introduction --
Foundations --
Simple crease patterns --
General crease patterns --
Map folding --
Silhouettes and gift wrapping --
The tree method --
One complete straight cut --
Flattening polyhedra --
Geometric constructibility --
Rigid origami and curved creases --
pt. 3. Polyhedra. Introduction and overview --
Edge unfolding of polyhedra --
Reconstruction of polyhedra --
Shortest paths and geodesics --
Folding polygons to polyhedra --
Higher dimensions.
Responsibility: Erik D. Demaine, Joseph O'Rourke.
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Abstract:

Emphasizing algorithmic and computational aspects, this fascinating treatment of the geometry of folding and unfolding presents hundreds of results and over 60 open problems. Aimed at advanced  Read more...

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'Demaine and O'Rourke are among the best-qualified authors for a book on this subject; and the book that they have written is a delight ... it is exceptionally clear and readable. It could be read Read more...

 
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