Faculté des sciences

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

### 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

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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.