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| Hauptverfasser: | , , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2403.13855 |
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| _version_ | 1866918171580039168 |
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| author | Casella, Brayden Anderson, Philip M. Kleber, Michael Mann, Richard P. Nessler, Reed Rucklidge, William Williams, Samuel G. Wu, Nicolas |
| author_facet | Casella, Brayden Anderson, Philip M. Kleber, Michael Mann, Richard P. Nessler, Reed Rucklidge, William Williams, Samuel G. Wu, Nicolas |
| contents | We demonstrate the existence of a non-terminating game of Beggar-My-Neighbor, discovered by lead author Brayden Casella. We detail the method for constructing this game and identify a cyclical structure of 62 tricks that is reached by 30 distinct starting hands. We further present a short history of the search for this solution since the problem was posed, and a record of previously found longest terminating games. The existence of this non-terminating game provides a solution to a long-standing question which John H. Conway called an `anti-Hilbert problem.' |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13855 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Non-Terminating Game of Beggar-My-Neighbor Casella, Brayden Anderson, Philip M. Kleber, Michael Mann, Richard P. Nessler, Reed Rucklidge, William Williams, Samuel G. Wu, Nicolas Combinatorics We demonstrate the existence of a non-terminating game of Beggar-My-Neighbor, discovered by lead author Brayden Casella. We detail the method for constructing this game and identify a cyclical structure of 62 tricks that is reached by 30 distinct starting hands. We further present a short history of the search for this solution since the problem was posed, and a record of previously found longest terminating games. The existence of this non-terminating game provides a solution to a long-standing question which John H. Conway called an `anti-Hilbert problem.' |
| title | A Non-Terminating Game of Beggar-My-Neighbor |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2403.13855 |