Chaos Game and the mathematical

Write a paper of about 1000 words which explains the Chaos Game and the mathematical ideas behind it for a readership of geeks who have never played the game. You must address the following four topics.

How the Chaos game is played.
What is the Sierpinksi triangle.
Why does the Chaos Game produce a pattern like the Sierpinski triangle.
What is the precise relationship between the Chaos Game and the Sierpinski triangle.
If you like you may also address other topics that interest you, either from class or from outside reading. But remember that main thing you will be graded on is the clarity of presentation of the above four ideas.