Acute integer lattice triangles exist with orthocenter at a lattice point iff their lattice perimeter ℓ is 6 or ≥8, with parallel results for circumcenter and centroid.
Lattice polygons and the number 12
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Lattice triangles whose centers are lattice points
Acute integer lattice triangles exist with orthocenter at a lattice point iff their lattice perimeter ℓ is 6 or ≥8, with parallel results for circumcenter and centroid.