New horoball packing density lower bound in hyperbolic 5-space (Q2181568)
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| English | New horoball packing density lower bound in hyperbolic 5-space |
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New horoball packing density lower bound in hyperbolic 5-space (English)
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19 May 2020
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The optimal congruent ball packing density up to horoballs of the same type in \(\overline{\mathbb{H}}^5\) is \(\geq\frac{5}{7\zeta(3)}=0.5942196502\). The proof is constructive and based on study of asymptotic or Koszul-type Coxeter simplex tilings.
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Coxeter group
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horoball
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hyperbolic geometry
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packing
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tiling
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