# another slabbing…

Take the set $\tau\subseteq\mathbb{R}^{3}$ which is left invariant by the following map: $T: (x,y,z) \rightarrow (2\sin(z-y),2\cos(x-z),7sin(y-x))$

At each point in $\tau$, there is one and only one future itinerary. I will suppose that $\tau$ contains all possible points, though any computer representation of $\tau$ will necessarily be incomplete.

Since this map trifurcates, and each trifurcation upon other trifurcation doubles, we will want something like:

$\bigoplus_{n=0}^{\infty} \frac{T^{n}(\tau)}{2.3^{n}}$

# needlessness

Suppose you have $A=\mathbb{R}^{n}$, and you associate with every $x\in A \in\mathbb{R}^{n}$ yet another $\mathbb{R}^{n}$, and you keep going…