Thurston introduced $\si_d$-invariant laminations (where $\si_d(z)$ coincides
with $z^d:\ucirc\to \ucirc$, $d\ge 2$). He defined \emph{wandering $k$-gons} as
sets $\T\subset \ucirc$ such that $\si_d^n(\T)$ consists of $k\ge 3$ distinct
points for all $n\ge 0$ and the convex hulls of all the sets $\si_d^n(\T)$ in
the plane are pairwise disjoint. Thurston proved that $\si_2$ has no wandering
$k$-gons and posed the problem of their existence for $\si_d$,\, $d\ge 3$. Call
a lamination with wandering $k$-gons a \emph{WT-lamination}. Denote the set of
cubic critical portraits by $\A_3$.