Geometric Folding Algorithms: Linkages, Origami, Polyhedra

Erik D. Demaine/ Joseph O'Rourke

ISBN 10: 0521857570 / ISBN 13: 9780521857574

Published by Cambridge Univ Pr, 2007

About this Item

1st edition. 472 pages. 10.25x7.50x1.00 inches. In Stock. Seller Inventory # x-0521857570

Bibliographic Details

Title: Geometric Folding Algorithms: Linkages, ...

Publisher: Cambridge Univ Pr

Publication Date: 2007

Binding: Hardcover

Condition: Brand New

About this title

Synopsis:

How can linkages, pieces of paper, and polyhedra be folded? The authors present hundreds of results and over 60 unsolved 'open problems' in this comprehensive look at the mathematics of folding, with an emphasis on algorithmic or computational aspects. Folding and unfolding problems have been implicit since Albrecht Dürer 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. A proof shows that it is possible to design a series of jointed bars moving only in a flat plane that can sign a name or trace any other algebraic curve. One remarkable algorithm shows you can fold any straight-line drawing on paper so that the complete drawing can be cut out with one straight scissors cut. Aimed primarily at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from high school students to researchers.

Book Description:

Emphasizing algorithmic and computational aspects, this comprehensive treatment of the geometry of folding and unfolding presents hundreds of results and more than 60 open problems. Aimed primarily at advanced undergraduates and graduates in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from high school students to researchers.