Adapting the theory of fractals to the world of roulette would be a very long study. We can nevertheless study the main concepts to let new ideas come. After spending a few hours reading on the book of **B. Mandelbrot**, I already have a more specific point of view to share.

Personally, I use in my game the notions of "*figures*", "*cycles*", and my interesting gaps have particular "*forms*" (different differences fit into each other). I now understand that the "theory of fractals" can inspire me with new ideas because *my approach to the game is strongly "geometric"*! Maybe that also explains that we will find very little topic on fractals, because most players have a rather linear approach to roulette.

Economists know that "*not everything is linear or exponential*". In the same way, everything is not round! The first thing to do is to be wary of his simplistic beliefs. To make me understand, some players think for example that the wheel and the ball have no memory! Then, it would be useless for them (only) to look for a logic in the distribution of spins. I will simply say that *we must not confuse the instrument with the phenomenon*. Likewise, thinking that the wheel is circular is not an argument to reject the theory of fractals. Let us specify then that in certain formulas of the probabilities, the notion **Pi** (3,14) is indispensable !

Players who have a "geometric", or even "financial", approach to roulette, will perhaps more easily understand this "**geometric fractals theory**". To describe some properties of fractals, **Mandelbrot** uses quite simple notions. These notions are interesting to better describe our personal approach.

To answer **fiben** on the necessity, with the theory of fractals, to make many computations between 2 spins, that is not a difficulty according to the "law of the continuous and discontinuous blows [or spins]"! This law is well known but few players use it concretely. It is important to codify his way of spins at the tables, otherwise it is a chaos without name (*in the head of the player and then on his notebook*) !