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math.MG2020
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…
math.MG2017★ 1 cited
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…
math.MG2017
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…