Golygon

A golygon is a non-self-intersecting n-gon with all vertices in a square lattice and all angles 90 degrees (a polyomino) such that all edge lengths are 1, 2, ..., n in circular order. Golygons were investigated by Lee Sallows. The smallest golygon has eight sides, and interestingly can tile the plane.

A golyhedron is a non-self-intersecting polyhedron where all n faces are polyominoes and have areas 1, 2, ..., n. The smallest golyhedron has 11 faces.