I stumbled across this fractal while trying to draw the Phoenix set. The vortex fractal (a name I picked because some versions of the fractal look like whirling vortices) is generated by iterating the equation:
Z_{n+1} = Z_{n}^{2} + Re(C) + Im(C) * Z_{n1}
Where the Zs and C are complex numbers, C is a constant, and for a point (X, Y):
Z_{0} = X + Yi
Z_{1} = X + Yi
The program iterates this equation until the magnitude of Z_{n} is at least 2 or the program performs a maximum number of iterations.
See the code for details.
