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Less than Equable Triangles on the Eisenstein lattice (2312.10866v1)
Published 18 Dec 2023 in math.CO and math.MG
Abstract: We classify perimeter dominant triangles whose side lengths are in $\sqrt3\mathbb N$ and whose area is in $\frac{\sqrt3}4\mathbb N$. There is one exceptional example, which is equilateral, and three infinite families determined by certain Pell, or Pell-like, equations.