Euler's Identity
e
iπ
+ 1 = 0
Angle θ (× π)
π
Radius r
1.00
Trail length
100
Animate
Reset to π
e^(iθ) = cos(θ) + i·sin(θ) — Euler's formula. At θ=π: e^(iπ) = −1, so e^(iπ)+1 = 0.
The most beautiful equation: links e, i, π, 1, 0 — the five fundamental constants.