  We study extreme contractions in the setting of finite-dimensional polyhedral
Banach spaces. Motivated by the famous Krein-Milman Theorem, we prove that a
\emph{rank one} norm one linear operator between such spaces can be expressed
as a convex combination of \emph{rank one} extreme contractions, whenever the
domain is two-dimensional. We establish that the same result holds true in the
space of all linear operators from $\ell_{\infty}^n(\mathbb{C}) $ to $ \ell_1^n
(\mathbb{C}). $ Furthermore, we present a geometric characterization of extreme
contractions between finite-dimensional polyhedral Banach spaces.
