Faculté des sciences

On the optimality of the ideal right-angled 24-cell

Kolpakov, Alexander

In: Algebraic & Geometric Topology, 2012, vol. 12, p. 1941-1960

We prove that among four-dimensional ideal right-angled hyperbolic polytopes the 24–cell is of minimal volume and of minimal facet number. As a corollary, a dimension bound for ideal right-angled hyperbolic polytopes is obtained. Plus

Ajouter à la liste personnelle
    Summary
    We prove that among four-dimensional ideal right-angled hyperbolic polytopes the 24–cell is of minimal volume and of minimal facet number. As a corollary, a dimension bound for ideal right-angled hyperbolic polytopes is obtained.