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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

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#1 2012-03-29 18:16:03

gurthbruins
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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 (2012-03-29 18:18:54)


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

#2 2012-04-10 22:56:41

jared2012
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Re: Geometrical Dissection: the 3 square problem

Huh..interesting...

 

#3 2012-04-16 18:10:08

gurthbruins
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Re: Geometrical Dissection: the 3 square problem

Here's a pretty picture to whet your  appetite:

http://lh4.googleusercontent.com/-0EkT4W0tKqM/T4WeWV7xAbI/AAAAAAAADP0/ui8WBdQDFGc/s242/3sq9.gif

It's only about 1000 years old!


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

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