Math Is Fun Forum

gurthbruins

Member

Registered: 2010-05-09

Posts: 157

Geometrical Dissection: the 3 square problem

Part 1

(a necessary preliminary to Part 2, which will contain the real challenge)

Show how to dissect a square with area A into n pieces which can be assembled to make 3 separate squares, each with area A/3.
Any interesting n will be nice to see,  but the aim is really to see with how few pieces it can be done.

No gimmicks or 'tricks' are needed.
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Last edited by gurthbruins (2012-03-28 19:18:54)

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It's the activity of the intelligence above all that gives charm to existence.

jared2012

Member

Registered: 2012-04-10

Posts: 1

Re: Geometrical Dissection: the 3 square problem

Huh..interesting...

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I am so cool

gurthbruins

Member

Registered: 2010-05-09

Posts: 157

Re: Geometrical Dissection: the 3 square problem

Here's a pretty picture to whet your  appetite:

It's only about 1000 years old!

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It's the activity of the intelligence above all that gives charm to existence.