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

Authors :
Ripà, Marco
Source :
Notes on Number Theory and Discrete Mathematics, 20(1):59-71, 2014
Publication Year :
2024

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.<br />Comment: 9 pages, 3 figures. This is a short version of the original paper, published in NNTDM, for the reasons explained at page 9

Details

Database :
arXiv
Journal :
Notes on Number Theory and Discrete Mathematics, 20(1):59-71, 2014
Publication Type :
Report
Accession number :
edsarx.2409.02922
Document Type :
Working Paper