28 citations · 86 across the 33 of their papers we have counts for
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Horoball packings to the totally asymptotic regular simplex in the hyperbolic -space
Jenő Szirmai
In \cite{Sz11} we have generalized the notion of the simplicial density function for horoballs in the extended hyperbolic space , where we have allo…
Classification of Sol lattices
Emil Molnár, Jenö Szirmai
$\SOL$ geometry is one of the eight homogeneous Thurston 3-geomet-ri-es $$\EUC, \SPH, \HYP, \SXR, \HXR, \SLR, \NIL, \SOL.$$ In \cite{Sz10} the {\it densest lattice-like translation…
On lattice coverings of Nil space by congruent geodesic balls
Jenő Szirmai
The Nil geometry, which is one of the eight 3-dimensional Thurston geometries, can be derived from {W. Heisenberg}'s famous real matrix group. The aim of this paper to study {\it l…
Horoball packings and their densities by generalized simplicial density function in the hyperbolic space
Jenő Szirmai
The aim of this paper to determine the locally densest horoball packing arrangements and their densities with respect to fully asymptotic tetrahedra with at least one plane of symm…