To more thoroughly explore the Mandelbrot series I've written some code that emulates , to so small extent , what fractint does . You can find this by firstly doing a Google search for maxima vtk , then selecting the link that has the name riotorio , or similar , in it. Once at that page select elevation grids , or similar , from that page click upon the elsewhere link. Upon the next page scroll down and you should see a plot , with perspective , of the Mandelbrot set ; above this is the code I wrote to generate this. The code structure is fairly easy to comprehend and the function mandelB has a resemblance to a fractint formula. The plot is easily rotated and zoomed into or out from . Maxima CAS is mostly a symbolic Computer Algebra System , this is the feature I require.