Variations on five-dimensional sphere packings
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912940600328192 |
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| author | Cohn, Henry Rajagopal, Isaac |
| author_facet | Cohn, Henry Rajagopal, Isaac |
| contents | We analyze Szöllősi's recent construction of a conjecturally optimal five-dimensional kissing configuration and produce a new such configuration, the fourth to be discovered. We construct five-dimensional sphere packings from these configurations, which augment Conway and Sloane's list of conjecturally optimal packings. We also construct a new kissing configuration in nine dimensions. None of these constructions improves on the known records, but they provide geometrically distinct constructions achieving these records. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00937 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Variations on five-dimensional sphere packings Cohn, Henry Rajagopal, Isaac Metric Geometry Combinatorics We analyze Szöllősi's recent construction of a conjecturally optimal five-dimensional kissing configuration and produce a new such configuration, the fourth to be discovered. We construct five-dimensional sphere packings from these configurations, which augment Conway and Sloane's list of conjecturally optimal packings. We also construct a new kissing configuration in nine dimensions. None of these constructions improves on the known records, but they provide geometrically distinct constructions achieving these records. |
| title | Variations on five-dimensional sphere packings |
| topic | Metric Geometry Combinatorics |
| url | https://arxiv.org/abs/2412.00937 |