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Bestseller
BestsellerE-book
Author Demaine, Erik D., 1981-

Title Geometric folding algorithms : linkages, origami, polyhedra / Erik D. Demaine, Joseph O'Rourke.

Publication Info. Cambridge ; New York : Cambridge University Press, 2007.

Item Status

Description 1 online resource (xiii, 472 pages) : illustrations (some color)
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references (pages 443-461) and index.
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.
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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Polyhedra -- Models.
Polyhedra -- Models.
Polyhedra -- Data processing.
Polyhedra.
Genre/Form Electronic books.
Electronic book.
Added Author O'Rourke, Joseph.
Other Form: Print version: Demaine, Erik D., 1981- Geometric folding algorithms 9780521857574 (DLC) 2006038156 (OCoLC)76416607
ISBN 9781461949183 (electronic book)
1461949181 (electronic book)
9780511735172 (ebook)
0511735170 (ebook)
9781107390430
1107390435
9780521857574
0521857570
9780521715225
0521715229