Introduction
The Karman-Trefftz airfoils are a set of profiles created from conformally mapping a circle into an airfoil by manipulating the Epsilon, Kappa, and Tau parameters. While not exactly correct in definition, you can think of Epsilon as controlling the thickness and leading edge curvature, Kappa as controlling the camber, and Tau as the angle at the trailing edge. These airfoils are of particular interest in aerodynamics because not only is the circle itself conformally mapped to the airfoil, but the analytic solution of the flow field about a circle (remember sources and sinks?) may also be conformally mapped as well which provides analytic flow solutions to each airfoil shape.