Abstract
In Odehnal (2011) packings with geometric sequences of spheres to regular polyhedra in the Euclidean d-space with d ≥ 2 have been introduced. The packing densities depending on the dimension and the type of polyhedron have been determined. Some of these packings can also be performed in d-dimensional Euclidean space. In this paper we generalize the above notion of sphere sequences packed into hyperbolic Coxeter honeycombs. We describe a method that determines the data and the density of each considered non-congruent sphere packing to every Coxeter tiling. Moreover, we apply our method to some 2- and 3-dimensional totally asymptotic honeycombs.
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