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In this paper we study congruent and non-congruent hyperball (hypersphere)packings of the truncated regular tetrahedron tilings. These are derived fromthe Coxeter simplex tilings $\{p,3,3\}$ $(7\le p \in \mathbb{N})$ and$\{5,3,3,3,3\}$ in $3$ and $5$-dimensional hyperbolic space. We determine thedensest hyperball packing arrangements related to the above tilings. We findpacking densities using congruent hyperballs and determine the smallest densityupper bound of non-congruent hyperball packings generated by the above tilings.

Density upper bound for congruent and non-congruent hyperball packings generated by truncated regular simplex tilings