For which triangles is Pick's formula almost correct?

Mathematics – Geometric Topology

Scientific paper

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6 pages; v2 more background information; v3 update of recent developments; v4 final revision and reformatting

Scientific paper

We present an intriguing question about lattice points in triangles where
Pick's formula is "almost correct". The question has its origin in knot theory,
but its statement is purely combinatorial. After more than 30 years the
topological question was recently solved, but the lattice point problem is
still open.

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