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Let $E$ be a $(\mathrm{IV})$-polyhedral Banach space. We show that, for each$\epsilon>0$, $E$ admits an $\epsilon$-equivalent $\mathrm{(V)}$-polyhedralnorm such that the corresponding closed unit ball is the closed convex hull ofits extreme points.  In particular, we obtain that every separable isomorphically polyhedralBanach space, for each $\epsilon>0$, admits an $\epsilon$-equivalent$(\mathrm{V})$-polyhedral norm such that the corresponding closed unit ball isthe closed convex hull of its extreme points.

Unit balls of Polyhedral Banach spaces with many extreme points