Lattice triangles whose centers are lattice points
Abstract
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 =6 or 8. Analogous results are obtained for the circumcenter and the centroid, and the results are contrasted with those for obtuse and right triangles.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.