## Chaos Game

_The rules of this game is to first make three points -- A, B, and C to form a triangle. Then, locate a point anywhere inside that triangle. Next, randomly choose one of the points of the triangle (vertex) and locate a second point halfway between the first point you located and the vertex you randomly picked. Next, do the same thing (procedure
or iteration) again. That is randomly choose a vertex and locate a
point, the third one, halfway between the second point and the random
vertex that you chose. Follow this simple procedure maybe 10,000 times
and see what happens. To review, the procedure is:

1. Randomly pick a vertex of your triangle.

2. Locate a point halfway between your last point and this newly selected vertex.

3. Do this many, many times and see what happens.

1. Randomly pick a vertex of your triangle.

2. Locate a point halfway between your last point and this newly selected vertex.

3. Do this many, many times and see what happens.

## Play the Chaos Game - Version 1

(Scroll up the page a little to see the layout, with four choices for the applet

-- choose to make 10, 100, or 1,000 dice rolls at a time).

_What was the result of your experiment?