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math.GM2026
Lattice triangles whose centers are lattice points
Christian Aebi, Grant Cairns
We show that for an integer , there exists an acute integer lattice triangle of lattice perimeter such that its orthocenter is an integer lattice point, if and only if…
math.GM2023
Equable Triangles on the Eisenstein Lattice
Christian Aebi, Grant Cairns
We show that there are only two equable triangles having vertices on the Eisenstein lattice, up to Euclidean motions.