Euler's formula connects growth with circles

Euler's formula, e^iθ = cos θ + i sin θ, beautifully links exponential growth to circular motion using complex numbers. Discovered by Leonhard Euler in the mid-1700s, this equation shows how raising 'e' to an imaginary power combines linear increase with periodic cycles. Its most famous special case, e^iπ + 1 = 0, unites five fundamental constants: e, i, π, 1, and 0, often called the most elegant equation in math.