rho: (0, 2)
dim: 2
facets: 8
vertices: 8
lattice points:
(2, 1)
(4, 2)
(1, 1)
(3, 2) <- interior
(5, 3)
(2, 2)
(4, 3)

rho: (2, 2)
dim: 2
facets: 4
vertices: 4
lattice points:
(1, 0)
(0, 0)
(1, 1)
(0, 1)