Over the last 15 years, there have been a number of striking successes in using algebraic geometry to understand noncommutative rings. One impressive result is the work of Artin-Schelter and Artin-Tate-Van den Bergh classifiying noncommutative analogues of P2. We outline their results and explain statements like "Noncommutative curves are commutative" and "Noncommutative projective planes contain a commutative elliptic curve."