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Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\) - MaRDI portal

Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\) (Q742521)

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scientific article; zbMATH DE number 6345830
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English
Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\)
scientific article; zbMATH DE number 6345830

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    Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\) (English)
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    18 September 2014
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    The authors investigate a packing by equal translation balls in \(\widetilde{SL_2 (\mathbb{R})}\), one of 3-dimensional Thurston model spaces. They construct the infinite family of packings in \(\widetilde{SL_2 (\mathbb{R})}\) by translation balls generated by the group \(G_{pq}=\mathbf{pq2}_1\) action.
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    Thurston geometries
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    \(\widetilde{SL_2 (\mathbb{R})}\) geometry
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    ball packings
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    tiling
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    regular prism
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    volume in \(\widetilde{SL_2 (\mathbb{R})}\) space
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