arXiv Analytics

Sign in

arXiv:1211.2944 [math.MG]AbstractReferencesReviewsResources

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

Alexander Kolpakov

Published 2012-11-13, updated 2012-11-14Version 2

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.

Comments: 24 pages, 22 figures, minor corrections
Journal: Algebraic & Geometric Topology 12 (2012) 1941-1960
Categories: math.MG, math.CO, math.GT
Subjects: 20F55, 52B11, 51M20
Related articles: Most relevant | Search more
arXiv:0910.0277 [math.MG] (Published 2009-10-01, updated 2011-04-21)
On the optimality of gluing over scales
arXiv:2411.19826 [math.MG] (Published 2024-11-29)
Optimality of Gerver's Sofa
arXiv:math/0403263 [math.MG] (Published 2004-03-16, updated 2017-08-22)
Optimality and uniqueness of the Leech lattice among lattices

Links

Toolbox