Topological properties of a class of cubic Rauzy fractals

Benoît Loridant

We consider the substitution ${\sigma }_{a,b}$ defined by $$\begin{array}{rlcl} σ_{a,b}: & 1 & \mapsto & \underbrace{1\ldots 1}_{a}2 \\ & 2 & \mapsto & \underbrace{1\ldots 1}_{b}3 \\ & 3 &…