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arXiv · 2503.14218

Tiling of Strip Lattices and Asymptotics

Valcho Milchev
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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.

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Valcho Milchev. 2025-03-17. Tiling of Strip Lattices and Asymptotics. https://arxiv.org/abs/2503.14218

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