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Topic: Central area (Read 1548 times) |
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pex
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Central area
« on: Nov 21st, 2012, 1:06am » |
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Which proportion of the area of a regular n-gon is closer to its center than to any edge?
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towr
wu::riddles Moderator Uberpuzzler
Some people are average, some are just mean.
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Re: Central area
« Reply #1 on: Nov 22nd, 2012, 10:59pm » |
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I get 1/3 - 1/12 sec4(pi/{2n}) And the limit for n -> infinity seems to give the right value, at least.
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« Last Edit: Nov 22nd, 2012, 11:28pm by towr » |
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Wikipedia, Google, Mathworld, Integer sequence DB
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pex
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Re: Central area
« Reply #2 on: Nov 23rd, 2012, 2:31am » |
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Yep, that's what I got
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