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Originally Posted by stingc
Circles are usually defined by the 1 dimensional set of points equidistant from a center in a 2-dimensional space. If that space is a Euclidean plane, then circumference/diameter=pi. If it is not a plane, then you don't get pi.
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Well... wait. Are you trying to suggest we draw a circle on a curved surface? Maybe it's technically a circle (I'm not sure) but I wouldn't call it one. Circles are two-dimensional, and what I think you're suggesting is three-dimensional. I can't really stand my ground there, because I haven't done anything with 3-D points, vectors, etc. Only volumes of various solids.