scientific article; zbMATH DE number 5046178
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Publication:5482814
zbMath1103.52016MaRDI QIDQ5482814
Publication date: 15 August 2006
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Ergodic theory on groups (22D40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Elementary problems in hyperbolic and elliptic geometries (51M09) Circle packings and discrete conformal geometry (52C26)
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Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space ⋮ New horoball packing density lower bound in hyperbolic 5-space ⋮ New lower bounds for optimal horoball packing density in hyperbolic \(n\)-space for \(6\le n\le 9\) ⋮ An upper bound of the density for packing of congruent hyperballs in hyperbolic \(3\)-space ⋮ Optimally dense packings for fully asymptotic Coxeter tilings by horoballs of different types ⋮ New lower bound for the optimal ball packing density in hyperbolic 4-space ⋮ Decomposition method related to saturated hyperball packings ⋮ Horoball packings related to the 4-dimensional hyperbolic 24 cell honeycomb {3,4,3,4}
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