This applet allows the exploration of generating functions other than the usual Mandelbrot set. The Mandelbrot set is generated by zn+1=zn2+C, where z0=0 and C is the point of interest on the graph. Here, the figure is generated by a function zn+1=a*zn4+ b*zn3+ c*zn2+ d*zn1+ e+ C. a, b, c, d, and e are restricted to integer values. Note that c and C are different - c is an integer, and C is a complex number
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.
The points calculated to be in the Mandelbrot set are colored black; the other colors code for the number of iterations before the point diverges.
© 2004-2011 by Lawrence T. Sein. All rights reserved.
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