Hinged dissections: swinging & twisting

Greg N. Frederickson

298 pages, parution le 29/10/2002

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Résumé

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.

Contents

If it ain't got that swing
Hinging on the details
Tricks for turning
Making squares dance
L'affaire triangulaire
Return to polygonia
Who's the squarest of them all?
Stepping around
All in the family
Elation in tessellations
Strips revealed
With a little help from my friends
At cross purposes
Handling the curves
And also starring
Four of a kind
As the whirled turns
A new breed of swingers
Not your regular polygons
Into another dimension
The flip side
Twist and shout!
Puzzles unhinged

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Greg N. Frederickson
Parution	29/10/2002
Nb. de pages	298
Format	18,3 x 24
Couverture	Relié
Poids	763g
Intérieur	Noir et Blanc
EAN13	9780521811927
ISBN13	978-0-521-81192-7