On Mon, 19 May 2008 at 22:35:00, Tony Fisher <tfisher@hccs.hunter.cuny.edu> wrote:

Greetings! I am a high school math teacher working with some exceptional students. While my field is originally group theory, I have been trying to work with my students on fractals. I have used Fractint for many years and am impressed... I have what I think should be a simple question, but I have had trouble finding the right program for what I want to do. Fractint's "Newtonbasin" identifies points in the complex plane by their ultimate destination, through Newton's method, to solutions to the equation z^3 - 1 = 0. I would like to do the same but with the equation z^3 - z = 0. The movement of z changes from: z'=(2z^3 - 1)/(3z^2) to: z'=(2z^3)/(3z^2 - 1)

However, one should still get a tricolored fractal as long as one identifies points by destination rather than speed. Is Fractint the way to go to create this fractal? Or [other fractal generator]? Any assistance you could give, either directly or in the form of pointing me toward the best person to ask, would be much appreciated.

The above was sent to me about 26 hours ago, but I have been way to busy to give it my full attention (as seen by the way the FOTD's are running late on the website). Would somebody care to assist this individual, please ?? Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/