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

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