On the optimality of the ideal right-angled 24-cell
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idealright-angledcellhyperbolicminimalpolytopesboundcorollary
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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.
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