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arXiv · 1909.06336

Lozenge Tilings Of the Equilateral Triangle

Richard J. Mathar
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Abstract

We consider incomplete tilings of the equilateral triangle of edge length n that is subdivided into n^2 regular equilateral smaller unit triangles. Pairs of the unit triangles that share a side may be converted into lozenges, leaving some subset of the unit triangles untouched. We count numerically these coverings by lozenges and unit triangles for edge lengths n <= 6: the total and the detailed refinement as a function of the number of lozenges.

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Richard J. Mathar. 2020-07-27. Lozenge Tilings Of the Equilateral Triangle. https://arxiv.org/abs/1909.06336

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