How Complex Numbers Solve a Beautiful Geometry Problem | Van Aubel's Theorem

Squares on the sides of any quadrilateral hide a stunning secret: the segments connecting opposite centers are always equal and perpendicular. This is Van Aubel's theorem; and the proof using complex numbers is remarkably elegant. Inspired by Tristan Needham's "Visual Complex Analysis." Music: Debussy – Rêverie #mathematics #geometry #complexnumbers #proof #manim