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Inscribable fans I: Inscribed cones and virtual polytopes

Inscribable fans I: Inscribed cones and virtual polytopes

Abstract We investigate polytopes inscribed into a sphere that are normally equivalent (or strongly isomorphic) to a given polytope . We show that the associated space of polytopes, called the inscribed cone of , is closed under Minkowski addition. Inscribed cones are interpreted as type cones of ideal hyperbolic polytopes …