Dissections: Plane and Fancy 1st Edition

by Greg N. Frederickson (Author)

1 customer review

ISBN-13: 978-0521571975

ISBN-10: 0521571979

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Comment: Publisher: Cambridge University Press
Date of Publication: 1997
Binding: hardcover
Edition:
Condition: Good
Description: Stamp on ffep. This Book is in Good Condition. Normal wear to covers and edges, text is clean with no marks, binding tight. Not Ex-Library. 100% Guaranteed.

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Can you cut an octagon into five pieces and rearrange them into a square? How about turning a star into a pentagon? These are just two of the infinite challenges of geometric dissections, the mathematical art of cutting figures into pieces that can be rearranged to form other figures, using as few pieces as possible. Through the ages, geometric dissections have fascinated puzzle fans and great mathematicians alike. Here are dissections known to Plato and exciting new discoveries alike. Greg Frederickson explains solution methods carefully, assuming only a basic knowledge of high school geometry. This beautifully illustrated book provides hours of enjoyment for every mathematical puzzle enthusiast.

Dissections: Plane and Fancy

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Product Details

Hardcover: 322 pages
Publisher: Cambridge University Press; 1 edition (November 28, 1997)
Language: English
ISBN-10: 0521571979
ISBN-13: 978-0521571975
Product Dimensions: 7 x 0.9 x 10 inches
Shipping Weight: 1.5 pounds
Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
Amazon Best Sellers Rank: #995,309 in Books (See Top 100 in Books)
- #354 in Books > Humor & Entertainment > Puzzles & Games > Math Games
- #471 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry
- #943 in Books > Science & Math > Mathematics > Geometry & Topology

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6 of 6 people found the following review helpful

Slicing and splicing for enjoyment

By Charles Ashbacher HALL OF FAMETOP 500 REVIEWERVINE VOICE on August 1, 2000

Format: Hardcover

Dissections are one area of mathematics where theory usually plays a secondary role to intuition. While the discovery of a solution may take an enormous amount of trial and effort, understanding it is generally a simple verification. For these reasons, dissections can aptly be described as an area of popular mathematics. The puzzles of Sam Loyd were extremely popular, with one even described as having been a national craze in the United States, and some of his most diabolical were dissections. His English counterpart and rival was Henry Dudeney, whose collected works of puzzles also contains many dissections.
As befits the development of abstract geometry centuries ago, the art of dissection goes all the way back to the age of Plato. Starting with a geometric shape and cutting it into pieces that can be rearranged to form another shape is something that clearly is more of a hobby than a career, although it is possible that it may have some applications in space filling.
Art and hobbies aside, this is a fun book to explore. Since the subject matter is the slicing and splicing of geometric figures, most of the results are presented as diagrams, making the solutions easy to understand. One thought constantly leapt to mind when I was examining some of the diagrams, "How did they think of doing that?" Obvious only after the fact, many dissections are hardly something that would easily leap to mind. Additional puzzles are interspersed throughout the text and solutions to all are included at the end of the book.
The public loves puzzles, as the popularity of some game shows and regular puzzle columns in newspapers and magazines demonstrates. In this book, you will find some of the most challenging of dissection type puzzles, sure to keep you interested from the opening slice to the final splice.

Published in Journal of Recreational Mathematics, reprinted with permission.

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