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As for Pi itself, i usually leave things expressed in terms of Pi. I like just using 3.14 if i really need to. Seeing how much you can get away with approximating is half the fun. reminds me of the days i would only use whole numbers for atomic weights--ah those were the days.
Like amanita, i usually preffer e to pi anyways. e is just cooler because even though pi is what makes the world go round, e^x is still its own derivative.
but if you want to wrap it all up in one ultimate poetry of mathematics, just say that e^(i*pi) = -1. Now isn't that just come craziness?
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