I think if anything, it's thing like that that should make you love math. I have to say that Euler's Identity always amazed me - because it does seem at 1st glance like an unreasonable relationship between to constants that are whacky enough in their own right.
There's a nice graphical explanation complete with an animation in this Wikipedia article which goes a long way towards explaining it I think.
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There's a nice graphical explanation complete with an animation in this Wikipedia article which goes a long way towards explaining it I think.
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