Geodesic
On the optimality of the ideal right-angled 24–cell
Kolpakov, Alexander1
1Department of Mathematics, University of Fribourg, Chemin du Musée 23, CH-1700 Fribourg, Switzerland
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 1941-1960
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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.

DOI : 10.2140/agt.2012.12.1941
Keywords: Coxeter polytope, right-angled Coxeter group

Kolpakov, Alexander  1

1 Department of Mathematics, University of Fribourg, Chemin du Musée 23, CH-1700 Fribourg, Switzerland 
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Kolpakov, Alexander. On the optimality of the ideal right-angled 24–cell. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 1941-1960. doi: 10.2140/agt.2012.12.1941

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