paper

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

arXiv:1211.2944 · doi:10.2140/agt.2012.12.1941

Abstract

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.

24 pages, 22 figures, minor corrections

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