A parallelogram has coordinates (0, 0), (144, 0), (377, 89) and (233, 89).

Determine the number of lattice points strictly within the interior of the parallelogram.

233 and 89 are relatively prime, so only the endpoints of the diagonal edges are lattice points so the interior is 143 x 88 = 12584, the same as a rectangle of the same length and height.

Posted by Charlie on 2024-12-21 12:21:44