Tiling of Strip Lattices and Asymptotics
Combinatorics
2025-03-19 v1
Abstract
This article examines the tilings of a strip with equilateral triangles. The number of ways in which the lattices can be covered with a combination of tiles of the two types of triangles is related to Pell's numbers. Additionally, the question of the number of tiles required for all possible tilings - both the number of tiles in total and by type - is developed for the first time in this article.
Keywords
Cite
@article{arxiv.2503.14218,
title = {Tiling of Strip Lattices and Asymptotics},
author = {Valcho Milchev},
journal= {arXiv preprint arXiv:2503.14218},
year = {2025}
}
Comments
16 pages, 22 figures