The rectangular spiral or the $n_1 \times n_2 \times \cdots \times n_k$ Points Problem
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910594674720768 |
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| author | Ripà, Marco |
| author_facet | Ripà, Marco |
| contents | A generalization of Ripà's square spiral solution for the $n \times n \times \cdots \times n$ Points Upper Bound Problem. Additionally, we provide a non-trivial lower bound for the $k$-dimensional $n_1 \times n_2 \times \cdots \times n_k$ Points Problem. In this way, we can build a range in which, with certainty, all the best possible solutions to the problem we are considering will fall. Finally, we give a few characteristic numerical examples in order to appreciate the fineness of the result arising from the particular approach we have chosen. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02922 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The rectangular spiral or the $n_1 \times n_2 \times \cdots \times n_k$ Points Problem Ripà, Marco General Mathematics 91A44 (Primary) 91A46 (Secondary) A generalization of Ripà's square spiral solution for the $n \times n \times \cdots \times n$ Points Upper Bound Problem. Additionally, we provide a non-trivial lower bound for the $k$-dimensional $n_1 \times n_2 \times \cdots \times n_k$ Points Problem. In this way, we can build a range in which, with certainty, all the best possible solutions to the problem we are considering will fall. Finally, we give a few characteristic numerical examples in order to appreciate the fineness of the result arising from the particular approach we have chosen. |
| title | The rectangular spiral or the $n_1 \times n_2 \times \cdots \times n_k$ Points Problem |
| topic | General Mathematics 91A44 (Primary) 91A46 (Secondary) |
| url | https://arxiv.org/abs/2409.02922 |