Euler’s identity, written as e^(iπ) 1 = 0, is often called the most beautiful equation in mathematics because it ties together five of the most important numbers in the subject: e (the base of natural logarithms), i (the imaginary unit), π (pi, the ratio of a circle’s circumference to its diameter), as well as the numbers 1 and 0. Each of these constants comes from a very different area of math—calculus, complex numbers, geometry, and basic arithmetic—yet they are united in one elegant statement

Euler’s identity, often written as e^(iπ) 1 = 0, is celebrated as one of the most beautiful equations in mathematics because it unites five of the most fundamental constants in a single, simple expression. The number e represents the base of natural logarithms and arises in continuous growth processes; i is the imaginary unit, satisfying i² = −1 and forming the foundation of complex numbers; π connects geometry through the ratio of a circle’s circumference to its diameter; and 1 and 0 symbolize