The shocking connection between complex numbers and geometry.
(www.youtube.com)https://www.youtube.com/watch?v=5RHSS-zMaAQStarts by explaining meromorphic functions with pretty colored pictures. Moves on to parameterizing a circle with sine and cosine. Then it moves in for the kill, trying to rupture cerebral aneurysms by parameterizing the complex torus with the Weierstrass P functions just like it did for the circle. But instead of x^2 + y^2=1, it is y^2 = 4x^3 + 4x, an elliptic curve.