Recreational Problems in Geometric Dissections and How to Solve Them - ISBN:0486228789

Recreational Problems in Geometric Dissections and How to Solve Them

Date: 22 April 2011, 13:27

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This book was referenced favorably by Martin Gardner on several occasions.
If you are looking for something unique, try your hand at geometric dissections. Geometric dissections are puzzles based on the art of cutting up one geometric figure into pieces which can be reassembled to form another figure. The challenge is to create the new figure in as few pieces as possible, and this is not always as easy as you would think. For example, an octagon can be dissected into a square in as few as five pieces-quite remarkable!
The author, Harry Lindgren, is an Australian patent examiner who has become the leader in this field of recreational mathematics. Through the years he has created more of these puzzles than any other person, and in the process he has bettered many previous dissection records. The over 400 diagrams in his book represent the combined work of himself and others in such areas as polygons, stars, letters, curved figures, and solid igures. In presenting these dissections, he carefully examines the methods used in obtaining them, such as strips, tessellations, RTF's, and just plain ingenuity! The original text has been updated by Greg Frederickson, a math buff who has improved on and extended certain parts of Lindgren's work. This book will appeal to the amateur problem solver who is looking for diverting mathematical puzzles to challenge his ingenuity. Yet these puzzles do not require any profound understanding of mathematics, or for that matter, any tedious computations. And despite the fact that the author claims that these dissections have no practical application (outside of puzzles) , it is certainly one recreation that will increase your gusp of geometry while giving you hours of entertainment and fun. And who knows, you may discover ways of improving Lindgren's dissections, or even come up with new dissections of your own!

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