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Hinged Dissections: Swinging and Twisting
 
 

Hinged Dissections: Swinging and Twisting (Hardcover)

by Greg N. Frederickson (Author) "A geometric dissection is a cutting of a geometric figure into pieces that can be rearranged to form another figure ..." (more)
4.0 out of 5 stars See all reviews (1 customer review)
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Product details

  • Hardcover: 300 pages
  • Publisher: Cambridge University Press (26 Aug 2002)
  • Language English
  • ISBN-10: 0521811929
  • ISBN-13: 978-0521811927
  • Product Dimensions: 24.7 x 18 x 2 cm
  • Average Customer Review: 4.0 out of 5 stars See all reviews (1 customer review)
  • Amazon.co.uk Sales Rank: 1,343,929 in Books (See Bestsellers in Books)
  • See Complete Table of Contents

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Product Description

Review
‘… this book is highly recommended. It is extremely readable, attractively presented and there is hardly a page devoid of eye-catching illustrations. The enthusiasm of the author for his subject is evident throughout, yet he never allows this to transgress upon the thoroughness with which he treats his subject.‘ The Mathematical Gazette

‘… can be read as a research monograph in discrete geometry … but also as a leisure-time book for everybody interested in geometrical puzzles and patterns, in ingenious and surprising constructions, that is, for all who love the beauty and diversity of geometrical objects.‘ Internationale Mathematische Nachrichten

Product Description
If you enjoy beautiful geometry and relish the challenge and excitement of something new, the mathematical art of hinged dissections is for you. Using this book, you can explore ways to create hinged collections of pieces that swing together to form a figure. Swing them another way and then, like magic, they form another figure! The profuse illustrations and lively text will show you how to find a wealth of hinged dissections for all kinds of polygons, stars and crosses, curved and even three-dimensional figures. For an added challenge, you can try using different kinds of hinges for twisting and flipping pieces. The author includes careful explanation of ingenious new techniques, as well as puzzles and solutions for readers of all mathematical levels. If you remember any high school geometry, you are already on your way. These novel and original dissections will be a gold mine for math puzzle enthusiasts, for math educators in search of enrichment topics, and for anyone who loves to see beautiful objects in motion.

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Inside This Book (Learn More)
First Sentence
A geometric dissection is a cutting of a geometric figure into pieces that can be rearranged to form another figure. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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1 of 1 people found the following review helpful:
4.0 out of 5 stars A must if you like recreational mathematics, 3 Jan 2003
By A Customer
Dissections, ie how to cut a figure into pieces that can be put together into another geometric figure, is the base for many mathematical recrations.

In another book (Dissections : Plane and Fancy, ISBN 0521571979), Frederickson covers the art of dissections in general.

This new book focuses on a special type of dissections, where the limitation that the pieces must remain linked to each other is pursued.

Frederickson guides the reader through this fascinating world with the help of a large number of illustrations. The book covers the more or less traditional 2-dimensional hinged dissections, but also introduces what he calls "twisted hinges", where the 2.dimensional pieces also may be rotated in 3D (still with the linking limitation). He also extends the idea completely into 3D, where 3D bodies are dissected, hinged, and tranformed into other 3D objects.

All in all, this book (as well as his previous book on dissections) is a must for anyone fascinated by the wonderful world of recreational mathematics.

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