See if you can find these places!
This Java applet allows you to explore the awesome Mandelbrot set.
File > Save
The max iteration is the maximum number of times the function zn+1=zn2+c (where z and c are complex numbers and z0=0) is iterated. If |zi| > 2 for some iteration i, then c is not in the Mandelbrot set. Otherwise, if i reaches the max iteration, it is assumed that c is in the Mandelbrot set. So as the max iteration increases, the accuracy increases.
The zoom factor determines how much to zoom with each mouse wheel rotation. For example, a zoom factor of 1 has no effect, a zoom factor 2 multiplies/divides the viewing radius by 2. The default zoom factor is 1.25.
If you zoom far enough, the Mandelbrot graph will look "pixely." (This is because Java double has limited precision. I did use BigDecimal once, but it just made the applet too slow. Later I might make the applet switch to BigDecimal when double is running out of precision.)
Home | Feedback | Page Last Modified: July 13, 2012 | © David Pan