A plane path on a set of equally spaced lattice points, starting at the origin, where the first step is one unit to the north or south, the second step is two units to the east or west, the third is three units to the north or south, etc., and continuing until the origin is again reached. No crossing or backtracking is allowed. The simplest golygon is (0, 0), (0, 1), (2, 1), (2, -2), (-2, -2), (-2, -7), (-8, -7), (-8, 0), (0, 0).

canonical polygon | lattice path | lattice polygon