The regular \(p\)-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space (Q858063)
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scientific article; zbMATH DE number 5082259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The regular \(p\)-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space |
scientific article; zbMATH DE number 5082259 |
Statements
The regular \(p\)-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space (English)
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8 January 2007
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There are investigated the regular \(p\)-gonal prism tiling (mosaics) in the hyperbolic 3-space that were classified by I. Vermes. The optimal hyperball packing of these tilings are generated by the ``inscribed hyperspheres''. Some metrical data and densities of the optimal hyperball packing are given to each prism tiling in the hyperbolic space \(\mathbb H^3\).
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hyperbolic geometry
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optimal hyperball packing
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tilings
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0.9127704
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0.9068756
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0.90482163
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0.88913447
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0.88183975
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0.8800721
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0.87962425
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