Polygonal Probability Fractals

Use the sliders to choose the number of vertices for your basic polygon (from 3 to 15) and a probability between 0.00 and 1.00.

To get a feeling for the probability construction, you might want to set 3 vertices and a probability of 0.50. This means that at each step, there is a probability of 1/2 of moving toward any one of the three randomly selected vertices. The resulting fractal should be one you've seen before. Next, keep 3 vertices, and experiment by changing the probability value. Probabilities near 1 give small, tight clusters of n-gons; probabilities near 0 smear out the construction to give a fairly amorphous set of points.

As n increases, play with different probability values to achieve attractive fractal constructions.

Changing colors during a construction allows you to watch the random aspect of the process.