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Download Geometric Folding Algorithms: Linkages, Origami, Polyhedra fb2, epub

by Erik D Demaine

Download Geometric Folding Algorithms: Linkages, Origami, Polyhedra fb2, epub

ISBN: 0521715229
Author: Erik D Demaine
Language: English
Publisher: Cambridge University Press; Reprint edition (September 15, 2008)
Pages: 488
Category: Science & Mathematics
Subcategory: Other
Rating: 4.2
Votes: 779
Size Fb2: 1547 kb
Size ePub: 1375 kb
Size Djvu: 1468 kb
Other formats: lit azw txt doc


Folding and unfolding problems have been implicit since Albrecht D?rer 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.

It is exceptionally clear and readable.

His beautiful book, with its full color illustrations, gives some of the details, including proofs and open problems.

This course focuses on the algorithms for analyzing and designing geometric foldings. Erik Demaine and Martin Demaine. Applications to architecture, robotics, manufacturing, and biology are also covered in this course. Acknowledgments Thanks to videographers Martin Demaine and Jayson Lynch.

Above: A large Curved Crease Sculpture by Erik and Martin Demaine, on display at Guided By Invoices in Chelsea, New York. Curved-Crease Sculpture.

Above: Books Geometric Folding Algorithms, Games, Puzzles, & Computation, Tribute to a Mathemagician, and A Lifetime of Puzzles. Above: A large Curved Crease Sculpture by Erik and Martin Demaine, on display at Guided By Invoices in Chelsea, New York. Above: Computational Origami by Erik and Martin Demaine, part of the Museum of Modern Art permanent collection.

In particular, the pages consist of the book's table of contents and errata; an electronic copy for owners of the physical book; applets and other supplementary material; related PowerPoint presentations; and a survey paper that in some sense a short form of the book. Erik D. Demaine and Joseph O'Rourke. Cambridge University Press, July 2007. ISBN 978-0-521-85757-4.

Geometric Folding Algorithms. Algorithms and Computation.

Geometric Folding Algorithms book. Goodreads helps you keep track of books you want to read.

the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems. 21 MB·263 Downloads·New!.

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.

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