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Old 01-27-2012, 06:02 PM   #1536
reuben_tate
Kawaii Desu Ne?
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Join Date: Dec 2007
Location: The Kawaiian Island~
Age: 30
Posts: 4,182
Default Re: You laugh, you lose

Quote:
Originally Posted by supermousie View Post
This one really ****ed with my mind a bit, as I tried to find a flaw in this argument. Anyways, if you think about it, for any stage of the process of cutting out corners, the arc of the circle enclosed in every "corner" is approximately the hypotenuse of the triangle formed between the corner and the circle arc. Considering the hypotenuse is shorter than the sum of the other two sides of any triangle, we know that the perimeter of the circle is less than the sum of the segments created by the original square, concluding that the circumference of the circle is less than 4.

EDIT: I lost at the coning one. lolol
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