A 6-dimensional 0/1-polytope constructed by A. Sarangarajan that has 18 vertices and 121 facets.
DIM 6 VERTICES 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 FACETS -1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 -1 0 0 1 0 0 -1 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 0 0 1 1 1 -1 0 0 -1 1 1 1 -1 0 -1 0 1 1 1 -1 -1 0 0 1 1 0 -1 1 0 -1 1 1 0 -1 1 -1 0 1 1 0 -1 0 1 -1 1 1 0 -1 0 -1 1 1 1 0 -1 -1 1 0 1 1 0 -1 -1 0 1 1 1 -1 1 0 0 -1 1 1 -1 1 0 -1 0 1 1 -1 1 -1 0 0 1 1 -1 0 1 0 -1 1 1 -1 0 1 -1 0 1 1 -1 0 0 1 -1 1 1 -1 0 0 -1 1 1 1 -1 0 -1 1 0 1 1 -1 0 -1 0 1 1 0 1 -1 1 0 -1 1 0 1 -1 1 -1 0 1 0 1 -1 0 1 -1 1 0 1 -1 0 -1 1 1 0 1 -1 -1 1 0 1 0 1 -1 -1 0 1 1 0 0 -1 1 1 -1 1 0 0 -1 1 -1 1 1 0 0 -1 -1 1 1 1 0 -1 1 1 0 -1 1 0 -1 1 1 -1 0 1 0 -1 1 0 1 -1 1 0 -1 1 0 -1 1 1 0 -1 1 -1 1 0 1 0 -1 1 -1 0 1 1 0 -1 0 1 1 -1 1 0 -1 0 1 -1 1 1 0 -1 0 -1 1 1 1 -1 1 1 0 0 -1 1 -1 1 1 0 -1 0 1 -1 1 1 -1 0 0 1 -1 1 0 1 0 -1 1 -1 1 0 1 -1 0 1 -1 1 0 0 1 -1 1 -1 1 0 0 -1 1 1 -1 1 0 -1 1 0 1 -1 1 0 -1 0 1 1 -1 0 1 1 0 -1 1 -1 0 1 1 -1 0 1 -1 0 1 0 1 -1 1 -1 0 1 0 -1 1 1 -1 0 1 -1 1 0 1 -1 0 1 -1 0 1 1 -1 0 0 1 1 -1 1 -1 0 0 1 -1 1 1 -1 0 0 -1 1 1 2 1 1 -2 1 0 -2 2 1 1 -2 1 -2 0 2 1 1 -2 0 1 -2 2 1 1 -2 0 -2 1 2 1 1 -2 -2 1 0 2 1 1 -2 -2 0 1 2 1 0 -2 1 1 -2 2 1 0 -2 1 -2 1 2 1 0 -2 -2 1 1 2 1 -2 1 1 0 -2 2 1 -2 1 1 -2 0 2 1 -2 1 0 1 -2 2 1 -2 1 0 -2 1 2 1 -2 1 -2 1 0 2 1 -2 1 -2 0 1 2 1 -2 0 1 1 -2 2 1 -2 0 1 -2 1 2 1 -2 0 -2 1 1 2 0 1 -2 1 1 -2 2 0 1 -2 1 -2 1 2 0 1 -2 -2 1 1 2 0 -2 1 1 1 -2 2 0 -2 1 1 -2 1 2 0 -2 1 -2 1 1 2 -2 1 1 1 0 -2 2 -2 1 1 1 -2 0 2 -2 1 1 0 1 -2 2 -2 1 1 0 -2 1 2 -2 1 1 -2 1 0 2 -2 1 1 -2 0 1 2 -2 1 0 1 1 -2 2 -2 1 0 1 -2 1 2 -2 1 0 -2 1 1 2 -2 0 1 1 1 -2 2 -2 0 1 1 -2 1 2 -2 0 1 -2 1 1 2 3 3 -2 -1 -1 -1 2 3 -2 3 -1 -1 -1 2 -1 -1 -1 3 3 -2 2 -1 -1 -1 3 -2 3 2 -1 -1 -1 -2 3 3 2 -2 3 3 -1 -1 -1 3 1 1 -3 1 1 -3 3 1 1 -3 1 -3 1 3 1 1 -3 -3 1 1 3 1 -3 1 1 1 -3 3 1 -3 1 1 -3 1 3 1 -3 1 -3 1 1 3 -3 1 1 1 1 -3 3 -3 1 1 1 -3 1 3 -3 1 1 -3 1 1 4 1 1 1 -2 -2 -2 4 -2 -2 -2 1 1 1 5 -1 -1 -1 -1 -1 -1 AFFINE_HULL N_VERTICES 18 N_FACETS 121 AMBIENT_DIM 6 _version 1.5.1 _application polytope