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.
"For Which Triangles Is Pick's Formula Almost Correct?." Experiment. Math. 18 (2) 187 - 191, 2009.