Geometric Folding Algorithms: Linkages, Origami, Polyhedra

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9780521857574: Geometric Folding Algorithms: Linkages, Origami, Polyhedra

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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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.

About the Author:

Erik D. Demaine is the Esther and Harold E. Edgerton Professor of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology, where he joined the faculty in 2001. He is the recipient of several awards, including the MacArthur Fellowship, the Harold E. Edgerton Faculty Achievement Award, the Ruth and Joel Spira Award for Distinguished Teaching, and the NSERC Doctoral Prize. His research interests range throughout algorithms from data structures for improving web searches to the geometry of understanding how proteins relate to the computational difficulty of playing games. He has published more than 150 papers with more than 150 collaborators and coedited the book Tribute to a Mathemagician in honor of the influential recreational mathematician Martin Gardner.

Joseph O'Rourke is the Olin Professor of Computer Science at Smith College and the Chair of the Computer Science Department. He recently completed a one-year appointment as Interim Director of Engineering. He has received several grants and awards, including a Presidential Young Investigator Award, a Guggenheim Fellowship, and the NSF Director's Award for Distinguished Teaching Scholars. His research is in the field of computational geometry, where he has published a monograph and a textbook, and he coedited the 1500-page Handbook of Discrete and Computational Geometry. Thirty-one of his more than one hundred papers published in journals and conference proceedings are coauthored with undergraduates.

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Demaine, Erik D. (Massachusetts Institute of Technology)
Editorial: Cambridge University Press (2007)
ISBN 10: 0521857570 ISBN 13: 9780521857574
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Descripción Cambridge University Press, 2007. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780521857574

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Demaine, Erik D.
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Descripción Cambridge University Press, 2007. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780521857574

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ERIK D. DEMAINE , JOSEPH O'ROURKE
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Descripción 2007. Hardback. Estado de conservación: NEW. 9780521857574 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0480647

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Descripción Cambridge University Press, 2007. Hardcover. Estado de conservación: New. Nº de ref. de la librería INGM9780521857574

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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****.Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even sign your name ? Or that a Latin cross unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved open problems to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers. Nº de ref. de la librería APC9780521857574

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Erik D. Demaine, Joseph O Rourke
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2014. Hardback. Estado de conservación: New. Language: English . Brand New Book ***** Print on Demand *****. Did you know that any straight-line drawing on paper can be folded so that the complete drawing can be cut out with one straight scissors cut? That there is a planar linkage that can trace out any algebraic curve, or even sign your name ? Or that a Latin cross unfolding of a cube can be refolded to 23 different convex polyhedra? Over the past decade, there has been a surge of interest in such problems, with applications ranging from robotics to protein folding. With an emphasis on algorithmic or computational aspects, this treatment gives hundreds of results and over 60 unsolved open problems to inspire further research. The authors cover one-dimensional (1D) objects (linkages), 2D objects (paper), and 3D objects (polyhedra). Aimed at advanced undergraduate and graduate students in mathematics or computer science, this lavishly illustrated book will fascinate a broad audience, from school students to researchers. Nº de ref. de la librería APC9780521857574

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Erik D. Demaine, Joseph O'Rourke
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Descripción Cambridge University Press, 2007. Hardcover. Estado de conservación: New. 1. Nº de ref. de la librería DADAX0521857570

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Descripción Cambridge University Press. Hardcover. Estado de conservación: New. 0521857570 Special order direct from the distributor. Nº de ref. de la librería ING9780521857574

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