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Old 2003-05-02, 03:45 PM   [Ignore Me] #16
Daedalus
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Hmm,it actually doesn't make sense...anyway back to the previous puzzle...
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Old 2003-05-02, 04:20 PM   [Ignore Me] #17
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Originally posted by OmnipotentKiwi
If a=b then a-b equals 0, which throws off the entire proof from that point on.
That's what I came up with.
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Old 2003-05-02, 04:32 PM   [Ignore Me] #18
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Old 2003-05-02, 05:57 PM   [Ignore Me] #19
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It's an optical illusion. The long endge of the triangle is not straight. The top is bent slightly in, the bottom slightly out. Why? Look at the ratio of squares on the large and small triangles. One is 2x5, the other is 3x8. Because of this the difference in angle is very slight since the respective ratios are 2/5 and 3/8. This means that by swapping the triangles you can either bend the long edge ever so slightly in or out.

Bend it in the square is filled, bend it out the square is empty.

Stupid passing optical illusions off as math problems
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Old 2003-05-02, 06:03 PM   [Ignore Me] #20
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Anyways, i�ve seen a mathematical proof for that! Must be somewhere on the internet... floating aroung .
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Old 2003-05-02, 06:18 PM   [Ignore Me] #21
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I'm pretty sure there ia mathimatical explanation for the first one as well. I seem to remember seeing it somewhere too.

It equates to something like the area and mass are not calculated the same. So by rearaging the puzzle you change it's mass, but not it's area. Thus resulting in the hole.
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Old 2003-05-02, 06:24 PM   [Ignore Me] #22
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Think of it this way, neither of the large shapes is actually a triangle. I forget what the exact term for them would be, been a looong time since geometry.
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