3 problems

Let $S$ be a $Y$-pin with maximal admissible dimension $D(S)$, and let $D$ be a positive integer satisfying $D\leq D(S)$. A $Y$-mesh is $D$-generic when its $D$-fractals have the g…

Density and finite-to-one conjecture. The map $\pi_1$ has dense image. Restricted to twisted configurations, the map $\pi_1$ is finite-to-one. This predicts both generic realizabil…

Let $S$ be a horizontal $Y$-pin with $a_2=b_2=0$, $0=a_1<b_1$, $p=c_2$ and $q=d_2$ relatively prime. Let $(P_{i,j})_{i,j\in\mathbb{Z}}$ be a $Y$-mesh of type $S$ and dimension…