  Thurston introduced $\si_d$-invariant laminations (where $\si_d(z)$ coincides
with $z^d:\ucirc\to \ucirc$, $d\ge 2$) and 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. He proved that $\si_2$ has no wandering
$k$-gons. Call a lamination with wandering $k$-gons a \emph{WT-lamination}. In
a recent paper it was shown that uncountably many cubic WT-laminations, with
pairwise non-conjugate induced maps on the corresponding quotient spaces $J$,
are realizable as cubic polynomials on their (locally connected) Julia sets. In
the present paper we use a new approach to construct cubic WT-laminations with
all of the above properties and the extra property that the corresponding
wandering branch point of $J$ has a dense orbit in each subarc of $J$ (we call
such orbits \emph{condense}), and to show that critical portraits corresponding
to such laminations are uncountably dense in the space $\A_3$ of all cubic
critical portraits.
