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008 240205b |||||||| |||| 00| 0 eng d
020 _a9780521145473
082 _a516.22
_bORA
100 _aJoseph O’Rourke
245 _aHow to Fold It
_bThe Mathematics of Linkages, Origami, and Polyhedra
_cJoseph O’Rourke
260 _aNEWYORK
_bCambridge
_c2011
300 _a 190 pages
505 _tLINKAGES ORIGAMI POLYHEDRA
520 _aWhat do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? You can answer these questions and more through the mathematics of folding and unfolding. From this book, you will discover new and old mathematical theorems by folding paper and find out how to reason toward proofs. With the help of 200 color figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's Web site, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out. Nearly 200 color figures and
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