Non-periodic geodesic ball packings generated by infinite regular prism tilings in \(\widetilde{\mathbf{SL}_2\mathbf{R}}\) space

DOI10.1216/RMJ-2016-46-3-1055zbMath1383.52018arXiv1403.3192OpenAlexW2512437740MaRDI QIDQ315387

Jenő Szirmai

Publication date: 21 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3192

zbMATH Keywords

finite fieldspermutation polynomialspacking density\(p\)-gonal prism tilingHermite-Dickson's theorem

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Non-Euclidean differential geometry (53A35) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Symmetry properties of polytopes (52B15)

Related Items (4)

The sum of the interior angles in geodesic and translation triangles of Sl2(R)~ geometry ⋮ Geodesic and translation ball packings generated by prismatic tessellations of the universal cover of \(\mathrm{SL}_2(\mathbb R)\) ⋮ Fibre-like cylinders, their packings and coverings in \(\widetilde{\mathbf{SL}_2 \mathbf{R}}\) space ⋮ Unnamed Item

Cites Work

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