Geometric Folding Algorithms Linkages, Origami, Polyhedra

Name: Geometric Folding Algorithms Linkages, Origami, Polyhedra
Price: 138.29 USD
Availability: InStock
ISBN: 9780521857574

ISBN-10: 0521857570

ISBN-13: 9780521857574

Edition: 2007

Authors: Erik D. Demaine, Joseph O'Rourke

List price: $185.00

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Description:

Folding and unfolding problems have been implicit since Albrecht Drer in the early 1500s but have only recently been studied in the mathematical literature. Over the past decade, there has been a surge of interest in these problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this comprehensive treatment of the geometry of folding and unfolding presents hundreds of results and more than 60 unsolved 'open problems' to spur further research. The authors cover one-dimensional objects (linkages), 2D objects (paper) and 3D objects (polyhedra). Among the results in Part I is that there is a planar linkage that can trace out…

Book details

List price: $185.00
Copyright year: 2007
Publisher: Cambridge University Press
Publication date: 7/16/2007
Binding: Hardcover
Pages: 488
Size: 7.20" wide x 10.20" long x 1.10" tall
Weight: 3.036
Language: English



Introduction



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






Introduction



One-dimensional paper



Two-dimensional paper and continuous foldability



Single-vertex foldability



Multi-vertex flat foldability



2D Map folding



Silhouettes and gift wrapping



Tree method



One complete straight cut



Flattening polyhedra



Geometric constructibility



Curved and curved-fold origami



Polyhedra



Introduction and overview



Edge unfolding of polyhedra



Reconstruction of polyhedra



Shortest paths and geodesics



Folding polygons to polyhedra



Higher dimensions.