This applet models a slightly different generating function than the Mandelbrot set. The Mandelbrot set is generated by zn+1=zn2+C, C being the point on the graph, with z0=0, whereas this figure is generated by zn+1=zn2+K, with z0 being the point on the graph, where K is some variable complex number. We write this number K (which we can vary, so as to make different pictures) as x + iy.
Click on in to zoom in to see greater detail, and out to zoom out. Likewise, click on right to move right, and left to move left. Click on Kx+ to increase the real part of the number K, and Kx- to decrease the real part, and click on Ky+ to increase the imaginary part of the number K, and Ky- to decrease the imaginary part.
The points calculated to be in the Julia set are colored black; the other colors code for the number of iterations before the point diverges. Note that a single color on the graph can code for several different values of divergence - this was done to give a more psychedelic, 1960's look to the pictures.
© 2004-2011 by Lawrence T. Sein. All rights reserved.
Send questions to: lseinjr@hotmail.com