I'm new to this forum so hi to everybody.

I would like to ask a question refering to the chaos game.

It's a proven fact that all 'fractals' (maybe its not the right word to use) that can be created by an IFS model can also be created with a chaos game. It goes this way:

Let's suppuse that the IFS model consist of the functions F1,F2,...,Fi.

We select a random dot (p1), and then we select a random number between 1,2..i, let this number be 'r'. After that we 'use' the function Fr on our selected dot, and we get another dot (p2), then we select another random function and 'use' it on the dot p2 and so on.. and the dots will actually 'create' our fractal with the possibility of one. I'd like to get a mathematical proof on this. I've searched a lot on the internet and haven't found a correct proof on this.. So please help me..

Please note that if possible I need a correct mathematical proof.

And yeah I know my english sucks, so if someone actually knows the answer but doesn't understand my writings let me know

thx in advance...