2 citations · 3 across the 7 of their papers we have counts for
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Dense ball packings by tube manifolds as new models for hyperbolic crystallography
Emil Molnár, Jenő Szirmai
We intend to continue our previous papers (\cite{MSz17} and \cite{MSz18}, as indicated there) on dense ball packing hyperbolic space $\HYP$ by equal balls, but here with centres be…
Non-fundamental trunc-simplex tilings and their optimal hyperball packings and coverings in hyperbolic space I. For families F1-F4
Emil Molnár, Milica Stojanović, Jenő Szirmai
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 fam…
Infinite series of compact hyperbolic manifolds, as possible crystal structures
Emil Molnár, Jenő Szirmai
Previous discoveries of the first author (1984-88) on so-called hyperbolic football manifolds and our recent works (2016-17) on locally extremal ball packing and covering hyperboli…
The football {5, 6, 6} and its geometries: from a sport tool to fullerens and further
Emil Molnár, István Prok, Jenő Szirmai
This presentation starts with the regular polygons, of course, then with the Platonic and Archimedean solids. The latter ones are whose symmetry groups are transitive on the vertic…
On hyperbolic cobweb manifolds
Emil Molnár, Jenő Szirmai
A compact hyperbolic "cobweb" manifold (hyperbolic space form) of symbol will be constructed in Fig.1,4,5 as a representant of a presumably infinite series $Cw(2p,2p,2p…
Top dense hyperbolic ball packings and coverings for complete Coxeter orthoscheme groups
Emil Molnár, Jenő Szirmai
In -dimensional hyperbolic space there are -types of spheres (balls): the sphere, horosphere and hypersphere. If we know an universal upper b…