The rectangular spiral or the $n_1 \times n_2 \times \cdots \times n_k$ Points Problem

Marco Ripà

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arXiv · 2409.02922

The rectangular spiral or the $n_1 \times n_2 \times \cdots \times n_k$ Points Problem

Marco Ripà

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Abstract

A generalization of Rip\`a'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.

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BibTeX RIS

Marco Ripà. 2024-08-07. The rectangular spiral or the $n_1 \times n_2 \times \cdots \times n_k$ Points Problem. https://arxiv.org/abs/2409.02922

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