Math Art

I once read a brain teaser about 4 flies that are placed at the corners of a square. Each one tries to walk to the adjacent fly, but since they are all moving they follow a spiral path towards the center of the square. I wrote a program to simulate those flies. The result was the first incarnation of "Math Art".

In this demo you can change the colors, number of sides, closing factor, line width, and how many cycles to run the simulation.

Click "Draw" to generate a new image or pick one of these demos: 4 Sides #1  4 Sides #2  6 Sides  9 Sides 

This demo draws a succession of inscribed polygons. The key parameter is the "Closing Factor". The more closely it approaches 1, the more closely spaced the polygons are and the more faithfully the polygon vertices reproduce the spiral path. I've also created Plitt Math Art, a more full-featured site, and co-founded Kaleidodog Designs, which offers high resolution math artwork for sale.