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Algorithm for constructing the corners of a regular, n-sided polygon

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I've googled this using a lot of keyword combinations, but to my great surprise I could not find an algorithm for constructing a regular, n-sided polygon into a given circle, i.e., finding the coordinates for the n corner points. All I could find were instructions how to do it by physical compass and straightedge, or interactive browser plug-ins without source.

So where could I find such an algorithm?


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