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arXiv · 2509.00880

Constructions of Large m-Distance Sets on Triangular Lattice

Li-Ren Bao·Wei-Hsuan Yu
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Abstract

An $m$-distance set is a collection of points such that the distances between any two points have $m$ possible values. We use two different methods to construct large $m$-distance sets on the triangular lattices. One is to use the first m smallest distances and find the largest cliques, and the other is using the notions of hexagons. Multiplicities of the distances were observed for comparison for the two methods.

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Li-Ren Bao, Wei-Hsuan Yu. 2025-08-31. Constructions of Large m-Distance Sets on Triangular Lattice. https://arxiv.org/abs/2509.00880

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