This is Mandelstep! Please wait while the image loads in...
Click on a point in the Mandelbrot set (technically the white areas below).
To see why your point is in (or not in!) the set, click
on "Run" to start the Mandelbrot iterations. If the resulting "orbit" does
not go to infinity your starting point is in the Mandelbrot set, otherwise
it is not (and the color assigned to it on the background image
indicates in some sense how "far away" it is from the
The different regions of the fractal correspond to different kinds of stable, closed orbits.
The largest white region is a 1-cycle (fixed point) orbit, the big circle to the left of it
is the 2-cycle orbit region. Can you find the three different 3-cycle regions? The six different
4-cycle regions? Can you predict the cycle length and orbit shape of a region beforehand?
As an orbit settles into its pattern, what does the shape of the dying off transient say about
nearby regions? It's a fun puzzle!
See Help section below for much more info.
For info on downloading the Tcl/Tk application version (it has a bigger image and a few
more features) click here .