The most beautiful equation in mathematics is:

It is often attributed to Swiss Mathematician Leonhard Euler. Interestingly enough, this is nothing but a

**statement about rotation!**2

^{3}is a shorthand way of writing 2 × 2 × 2. But this is*very very different*from what means. Mathematicians use this trick over and over again. They**overload**notations. In fact is a shorthand way of writing an infinite series.How can we connect infinite series with rotation? Basically, 1 is not 1! 1 is (1, 0). A point in fact. Then what is

**i**?**i**is a shorthand for writing (0, 1). So when you add 1 + 2 π i , you are in fact ‘adding’ (1, 0) + 2 π (0, 1) = (1, 2 π ).**Food for thought**

**How do you add many many many points (in fact infinitely many) to get rotation?**

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