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- W4301720044 abstract "In this paper we study the problem of hyperball (hypersphere) packings in $3$-dimensional hyperbolic space. We introduce a new definition of the non-compact saturated ball packings and describe to each saturated hyperball packing, a new procedure to get a decomposition of 3-dimensional hyperbolic space $HYP$ into truncated tetrahedra. Therefore, in order to get a density upper bound for hyperball packings, it is sufficient to determine the density upper bound of hyperball packings in truncated simplices." @default.
- W4301720044 created "2022-10-05" @default.
- W4301720044 creator A5029006855 @default.
- W4301720044 date "2017-09-12" @default.
- W4301720044 modified "2023-10-18" @default.
- W4301720044 title "Decomposition method related to saturated hyperball packings" @default.
- W4301720044 doi "https://doi.org/10.48550/arxiv.1709.04369" @default.
- W4301720044 hasPublicationYear "2017" @default.
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