pi=4?
only problem is that once you get closer and closer to infinity, the perimeter does get closer to the actual value of pi.
i can go on the proof of this topic but it is beyond the scope of this forum.
i can tell you though that this problem has existed for thousand of years.
i can go on the proof of this topic but it is beyond the scope of this forum.
i can tell you though that this problem has existed for thousand of years.
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problem is even if you continually double the amount of angles until you cant see them, you aren't shortening their overall length, you are just multiplying their number, so the line is still the same length overall just infinitly small.
/\/\/\/\/\/\/\/\/\
vs.
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
line is the same length, box still = 4
/\/\/\/\/\/\/\/\/\
vs.
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
line is the same length, box still = 4
Last edited by Krinkov; Nov 16, 2010 at 09:37 AM.
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I figured that had to be the catch, but the reason it's so surprising is that 4 is so far different from 3.14.....
In other words it's an extremely significant rounding error that would appear negligible to someone only looking at the diagram.
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