Here's Looking at Euclid by Alex BELLOS

Author:Alex BELLOS [BELLOS, Alex]
Language: eng
Format: mobi
Publisher: Simon & Schuster, Inc.
Published: 2010-06-06T04:00:00+00:00

Dissection of a square into a pentagon.

Dudeney also discovered a novel way to cut up a triangle and make it into a square in four pieces. And he realized that if the four pieces in his solution were hinged together, they could be assembled in a chain—such that folding one way gets you a triangle and folding the other way gets you the square. He called this the Haberdasher’s Puzzle, since the shapes look like the leftover pieces of cloth that a haberdasher might have in his shop. The puzzle thus introduced the concept of a “hinged dissection,” and aroused such interest that Dudeney made one out of mahogany with brass hinges and presented it in 1905 at a meeting of the Royal Society in London. The Haberdasher’s Puzzle was Dudeney’s greatest legacy and has fascinated and delighted mathematicians for more than a century.

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