This is an excellent program for my programmers out there but anyone can successfully examine this:

The Chaos Game:

1. Label an isosceles triangles vertices 1,2, and 3.

2. Select some form of a randomizer that will pick the numbers 1,2, and 3.

3. Pick a point inside the triangle and put a dot there.

4. Use your randomizer to select one of the numbers from 1,2, and 3.

5. Place a dot midway between the vertex with that number and the current dot.

6. Now, using that new dot as a reference point, repeat steps 4, and 5.

7. Continue these trials until you notice something magical (hopefully)

Why is this happening?