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Mathematics

eulersformulaandthebridgetocomplexexponentials

Quick fact

Euler's identity, e^(iπ) + 1 = 0, is often called the most beautiful equation in mathematics because it links five fundamental constants: e, i, π, 1, and 0.

Why this is interesting

You know how multiplication by -1 rotates you 180° on the number line? Then what if there was a number that rotates you 90°? And what if raising e to that power just spins you around a circle?