De Moivre’s Theorem expresses the exact algebraic behavior of complex numbers under repeated rotation.

Powers multiply angle, roots divide it — no approximation, no loss of structure.

The magenta vector is the original complex number. Cyan shows the powered result. Green vectors reveal the full symmetry of roots.

Motion here is not decoration — it encodes phase evolution.

De Moivre collapses trigonometry, algebra, and geometry into a single operational identity.

This is computational mathematics in its purest form — structure over pedigree.