Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Paperback)

Erik D. Demaine

ISBN 10: 0521715229 / ISBN 13: 9780521715225

Edité par Cambridge University Press, Cambridge, 2008

A propos de cet article

Paperback. 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 Durer 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. Emphasizing algorithmic and computational aspects, this fascinating treatment of the geometry of folding and unfolding presents hundreds of results and over 60 open problems. Aimed at advanced undergraduates and graduates in mathematics or computer science, this lavishly illustrated book will entertain a broad audience, from school students to researchers. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521715225

Détails bibliographiques

Titre : Geometric Folding Algorithms: Linkages, ...

Éditeur : Cambridge University Press, Cambridge

Date d'édition : 2008

Reliure : Paperback

Etat : new

Edition : Edition originale

A propos de ce titre

Revue de presse:

'Demaine and O'Rourke are among the best-qualified authors for a book on this subject; and the book that they have written is a delight ... it is exceptionally clear and readable. It could be read for pleasure by any mathematics undergraduate, and much of it (though not all) by amateurs with a high school mathematics background ... although there are sections that some amateurs will skip, the level is always kept as elementary as locally possible. This book should be in all university libraries, and many professional and amateur mathematicians will want to add it to their personal collections.' Robert Dawson (Halifax), Zentralblatt Math

'This book is one of those rare mathematics books that I had a hard time putting down. I wanted to keep reading to find the next insight. ... This is a serious mathematics book whose explorations have significant applications and real mathematical profundity, wonderfully mixed with some fun recreational mathematics. ... The book has a useful index and an extensive bibliography, so when you finish reading, it will remain a valuable resource far into the future. There is a lot of material in this book and it is really a lot of fun. I highly, highly recommend this book to anyone with even a passing interest in folding mathematics.' MAA Reviews

'The authors explain step-by-step interesting solutions of some folding problems. This splendidly illustrated book can be interesting for advanced undergraduate students in mathematics and computer science as well as for geometers and computer specialists who can find many new ideas and impulses ...' EMS Newsletter