Finite Polyhedral Models for the Space of Equivalent Norms

We study finite polyhedral models inside the projectivized space of equivalent norms $\mathcal{N}'(X)$ on a finite-dimensional Banach space $X$, endowed with the logarithmic distortion metric. Given a finite symmetric direction set $E$, we introduce the class of $αE$-norms, defined as Minkowski func