Drumroll, please. Here is Euler's identity: e^{iπ} + 1 = 0. Did that leave you breathless? Have you been swept off your feet? Are you sobbing tears of joy over its alluringly pure beauty? Okay, this may need an explanation. This equation has been renowned for its beauty for a few reasons. It comprises the five most important mathematical constants: 1 , 0 , pi (the number that defines a circle), e (the base of natural logarithms), and i (the most fundamental imaginary number).

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Euler's identity also contains the three basic mathematical operations: addition, multiplication, and exponentiation. "Euler's identity is amazing because it is simple to look at and yet incredibly profound," Professor of Mathematics David Percy of the University of Salford in the UK told the BBC. "What appeals to me is that this equality connects some incredibly complicated and seemingly unrelated concepts in a surprisingly concise form." As for what the equation actually does, it basically describes two equivalent ways to move in a circle.

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