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On the optimality of
the ideal right-angled $24$–cell
Alexander Kolpakov |
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Algebraic & Geometric Topology 12 (2012) 1941–1960
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Abstract |
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We prove that among four-dimensional ideal right-angled hyperbolic polytopes the –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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Keywords
Coxeter polytope, right-angled Coxeter group
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Mathematical Subject Classification 2000
Primary: 20F55
Secondary: 52B11, 51M20
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References |
Publication
Received: 22 June 2012
Revised: 11 July 2012
Accepted: 17 July 2012
Published: 27 October 2012
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Authors |
| Alexander Kolpakov | |
| Department of Mathematics University of Fribourg Chemin du Musée 23 CH-1700 Fribourg Switzerland |
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