  In this article we prove the measure stability for all 2-dimensional Almgren
minimal cones in $\mathbb{R}^n$, and the Almgren (resp. topological) sliding
stability for the 2-dimensional Almgren (resp. topological) minimal cones in
$\mathbb{R}^3$. As proved in \cite{2T}, when several 2-dimensional Almgren
(resp. topological) minimal cones are measure and Almgren (resp. topological)
sliding stable, and Almgren (resp. topological) unique, the almost orthogonal
union of them stays minimal. As consequence, the results of this article,
together with the uniqueness properties proved in \cite{uniquePYT}, permit us
to use all 2-dimensional minimal cones in $\mathbb{R}^3$ to generate new
families of minimal cones by taking their almost orthogonal unions.
