1 research outputs found
Non-fundamental trunc-simplex tilings and their optimal hyperball packings and coverings in hyperbolic space I. For families F1-F4
Supergroups of some hyperbolic space groups are classified as a continuation
of our former works. Fundamental domains will be integer parts of truncated
tetrahedra belonging to families F1 - F4, for a while, by the notation of E.
Moln\'{a}r et al. in . As an application, optimal congruent hyperball
packings and coverings to the truncation base planes with their very good
densities are computed. This covering density is better than the conjecture of
L.~Fejes~T\'oth for balls and horoballs in