How to Fold It: The Mathematics of Linkages, Origami, and Polyhedra Reissue Edition

by Joseph O'Rourke (Author)

6 customer reviews

ISBN-13: 978-0748794973

ISBN-10: 0521145473

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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.

How to Fold It: The Mathematics of Linkages, Origami, and Polyhedra

$32.90 FREE Shipping on orders over $35. Only 16 left in stock (more on the way). Ships from and sold by Amazon.com. Gift-wrap available.

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Product Details

Paperback: 190 pages
Publisher: Cambridge University Press; Reissue edition (April 25, 2011)
Language: English
ISBN-10: 0521145473
ISBN-13: 978-0748794973
Product Dimensions: 6 x 0.4 x 9 inches
Shipping Weight: 15.2 ounces (View shipping rates and policies)
Average Customer Review: 4.7 out of 5 stars See all reviews (6 customer reviews)
Amazon Best Sellers Rank: #457,008 in Books (See Top 100 in Books)
- #177 in Books > Humor & Entertainment > Puzzles & Games > Math Games
- #3105 in Books > Textbooks > Science & Mathematics > Mathematics
- #5836 in Books > Science & Math > Mathematics

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Customer Reviews

4.7 out of 5 stars

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Most Helpful Customer Reviews

9 of 9 people found the following review helpful

Great book on linkages, origami, and polyhedra

By Ed Pegg Jr VINE VOICE on September 5, 2011

Format: Paperback Verified Purchase

The random pages from "Click to Look Inside" were good enough for me to order this book, and I was not disappointed. Good illustrations, good math, and good writing on every page.

For example, on page 138, he asks for the polyhedra other than a cube which can be folded from a Latin cross. He shows 7 tetrahedra, 3 pentahedra, 4 hexahedra, and 6 octahedra. He explains that this was unknown territory that he ventured into with 5 college students, and they made these discoveries.

Most of the book concerns older problems, such as linkages and origami, but there was plenty of newer material, such as robot arms and protein folding.

The supporting website is howtofoldit.org, which has some animations. Excellent book. Recommended.

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2 of 2 people found the following review helpful

Origami on steroids

By Lisa Karczmit on October 15, 2012

Format: Paperback

I love origami and have always been curious as to the mathematical/scientific principles behind it. This book describes in depth the multitude of folds and angles involved in any folding project. It is a little beyond what I was looking for, giving super-detailed, extremely technical descriptions of the art of paper folding and then some. If you are looking for an explanation of folding, involving advanced mathematics, this is the book for you.

I really enjoyed Chapter 5 which includes some cool cutting projects - I call them "one-cut wonders" - they are available in template form on the book's webpage. Fun!!!

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2 of 2 people found the following review helpful

A gift of a book

By reader on January 7, 2013

Format: Paperback Verified Purchase

O'Rourke is clearly one of those exceptionally gifted teachers who enjoys making complex ideas intelligible and exploring his subject matter with the reader. This is a fascinating and beautifully executed introduction to the mathematics of various folding structurs - O'Rourke provides a rigorous and stimulating explanation accessible to the mathematically interested lay reader.

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Most Recent Customer Reviews

Entertaining stroll

This clever and enjoyable book meanders across a surprising range of topics. It starts by discussing the mathematics of robot arms, with sidebars that define and explain the... Read more

Published 2 months ago by wiredweird

Excellent quality!

Received this book as a christmas gift. I was pleasantly surprised to find good, quality binding and exquisite colored pictures to go along with the book. Read more

Published 23 months ago by cryptofreq

I liked it.

I found this to be an interesting read. The illustrations are good, and I found the writing clear and easy to understand.

A good book, I would recommend it.

Published on June 19, 2013 by Kyne

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