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.
Neon Parallax Complex Stage
Interactive visualization of De Moivre’s Theorem
