scientific article; zbMATH DE number 7578489

zbMath1496.52020MaRDI QIDQ5098802

Emil Molnár, Jenő Szirmai

Publication date: 31 August 2022

Full work available at URL: https://www.heldermann.de/JGG/JGG26/JGG261/jgg26009.htm

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zbMATH Keywords

Thurston geometriesdensity of ball packing under space groupregular prism tiling\(\widetilde{\mathbf{SL}_2\mathbf{R}}\) geometryvolume in \(\widetilde{\mathbf{SL}_2\mathbf{R}}\) space

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 (1)

Fibre-like cylinders, their packings and coverings in \(\widetilde{\mathbf{SL}_2 \mathbf{R}}\) space

Cites Work

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• Non-periodic geodesic ball packings generated by infinite regular prism tilings in \(\widetilde{\mathbf{SL}_2\mathbf{R}}\) space
• Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\)
• Regular prism tilings in \(\widetilde{\mathbf{SL}_2\mathbf R}\) space
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• Projective metric realizations of cone-manifolds with singularities along 2-bridge knots and links
• Translation curves and their spheres in homogeneous geometries
• Volumes and geodesic ball packings to the regular prism tilings in $\widetilde{\mathbf{SL_{\mathrm{2}}R}}$ space
• The Geometries of 3-Manifolds

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