2023/12/18 by Aebi, Christian, Cairns, Grant
#52C05 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG)
paper · doi:10.48550/arxiv.2312.10866
We classify perimeter dominant triangles whose side lengths are in √3\mathbb N and whose area is in \frac√34\mathbb N. There is one exceptional example, which is equilateral, and three infinite families determined by certain Pell, or Pell-like, equations.