2 papers
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.CO2026
The sad life of lattice triangles
Christian Aebi, Grant Cairns
This paper treats triangles in the plane whose vertices lie on the integer lattice, i.e., the vertices have integer coordinates. It shows that apart from trivial examples, the circ…