Five fundamental constants — 0, 1, e, i, π — bound in a single equation. The geometric meaning: starting at 1 on the real axis and applying π radians of rotation lands you at -1.
e^(iθ) around the unit circle. Move the θ slider — at θ = π, the trace lands exactly on -1, and Euler's identity becomes a geometric fact: a half-turn from 1.
(1 + iπ/n) is a small rotation (by ≈π/n radians) plus a small scale-up. Apply it n times and you spiral outward through n steps that land near -1. As n grows, the spiral hugs the unit circle more tightly, and the endpoint converges to -1. The rotation accumulates; the scaling cancels out in the limit.