Is the polar set of convex polytope also a polytope?

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Let $P$ be a convex polytope.

How can I prove that the polar set of $P$ (lets call it $P^*$) is polytope?

where $P^*=\{x\in\mathcal R^n:\forall v\in P, |\langle x,v\rangle|\le1\}$ .

$Thanks$