Darsh Ranjan '05
Department of Mathematics
This represents the 16th iteration of the function f(z) = (z*z + r*c)/(z*z – c*c) as a function of c, beginning with z = c (r is a complex constant), in a small region in the complex plane. The hue is determined by the argument of the final value, and the saturation and brightness are determined by its absolute value, decaying to white at the origin and to black at infinity. The white areas thus identify zeroes of the function, while black areas represent its poles.