@axiommotion: This equation turns a circle into an airplane wing ✈️ The Joukowski transform: w = z + 1/z In 1910, mathematician Nikolai Joukowski discovered that this single conformal map transforms a simple circle into an airfoil cross-section — the shape of a wing. The trick? Shift the circle slightly off-center so it passes through the critical point where the derivative vanishes. The map doubles angles there, creating the sharp trailing edge that real wings need. If you know the airflow around a cylinder (which is easy), this equation gives you the airflow around a wing (which is hard). One equation. Over a century of aircraft design. #math #mathematics #engineering #physics #aviation #airplane #aerodynamics #complexanalysis #conformalmap #joukowski #manim #3blue1brown #mathanimation #stem #learnontiktok #EduTok #mathtok #satisfying