The regular p-gonal prism tilings and their optimal hyperball packings in the hyperbolic 3-space
We investigate the regular p-gonal prism tilings (mosaics) in the hyperbolic 3-space that were classified by I. Vermes in < span lang=EN-US style='font-size:10.0pt; mso-ansi-language:EN-US' > [12]and [13]. The optimal hyperball packings of these tilings are generated by the ``inscrib...
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| Published in | Acta mathematica Hungarica Vol. 111; no. 1-2; pp. 65 - 76 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.04.2006
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| Online Access | Get full text |
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| Summary: | We investigate the regular p-gonal prism tilings (mosaics) in the hyperbolic 3-space that were classified by I. Vermes in < span lang=EN-US style='font-size:10.0pt; mso-ansi-language:EN-US' > [12]and [13]. The optimal hyperball packings of these tilings are generated by the ``inscribed hyperspheres'' whose metric data can be calculated by our method -- based on the projective interpretation of the hyperbolic geometry -- by the volume formulas of J. Bolyai and R. Kellerhals, respectively. We summarize in some tables the data and the densities of the optimal hyperball packings to each prism tiling in the hyperbolic space H(3). |
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| Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0236-5294 1588-2632 |
| DOI: | 10.1007/s10474-006-0034-8 |