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How to Fold It The Mathematics of Linkages Origami and Polyhedra 1st Edition by Joseph O Rourke ISBN 9781139119382 1139119382

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How to Fold It The Mathematics of Linkages Origami and Polyhedra Joseph O’Rourke Digital Instant Download

Author(s): Joseph O’Rourke
ISBN(s): 9780521145473, 0521145473
Edition: Reissue
File Details: PDF, 6.59 MB
Year: 2011
Language: english
SKU: EB-2601338 Category: Tag:

How to Fold It The Mathematics of Linkages Origami and Polyhedra 1st Edition by Joseph O’Rourke  – Ebook PDF Instant Download/Delivery: 9781139119382,  1139119382 
Full download How to Fold It The Mathematics of Linkages Origami and Polyhedra 1st Edition  after payment

Product details: 

ISBN 10:1139119382 

ISBN 13:  9781139119382

Author: Joseph O’Rourke 

What 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.

Table of contents: 

Part I. Linkages:
1. Robot arms
2. Straight-line linkages and the pantograph
3. Protein folding and pop-up cards
Part II. Origami:
4. Flat vertex folds
5. Fold and one-cut
6. The shopping bag theorem
Part III. Polyhedra:
7. Durer’s problem: edge unfolding
8. Unfolding orthogonal polyhedra
9. Folding polygons to convex polyhedra
10. Further reading
11. Glossary
12. Answers to exercises
13. Permissions and acknowledgments.

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Tags: Joseph O Rourke, How to Fold, The Mathematics, Linkages Origami