The Fractal Factory
Welcome to The Fractal Factory. A random thing has no pattern right? Wrong!
To see why, we're going to carry out a simple random process many times, and each time leave a dot behind as a mark of where we've been. The dots make up an astonishing pattern.
We start with an equilateral triangle. Now comes the random process.
- First we decide on a starting point - move the cursor and click for your choice inside, outside or on the boundary of the triangle.
- Then we randomly select one of the vertices and then find the mid-point of the line joining it to the starting point. Click on the Start button to try it.
- Now the process is repeated, this time using the mid-point as a new starting point. We call the repeated application of such a process, iteration . Just click on the Start button to repeat the process again, and again ...
Did you see any pattern?