The 8-dimensional half-cube, given by the convex hull of all 0/1-vectors of even weight.
DIM 8 # even_cube: Tue Sep 28 09:12:09 1999 VERTICES 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 FACETS 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 4 -1 -1 -1 -1 -1 1 1 1 4 -1 -1 -1 -1 1 -1 1 1 4 -1 -1 -1 1 -1 -1 1 1 4 -1 -1 1 -1 -1 -1 1 1 4 -1 1 -1 -1 -1 -1 1 1 4 1 -1 -1 -1 -1 -1 1 1 4 -1 -1 -1 -1 1 1 1 -1 4 -1 -1 -1 1 -1 1 1 -1 4 -1 -1 1 -1 -1 1 1 -1 4 -1 1 -1 -1 -1 1 1 -1 4 1 -1 -1 -1 -1 1 1 -1 4 -1 -1 -1 1 1 -1 1 -1 4 -1 -1 1 -1 1 -1 1 -1 4 -1 1 -1 -1 1 -1 1 -1 4 1 -1 -1 -1 1 -1 1 -1 2 -1 -1 -1 1 1 1 1 1 2 -1 -1 1 -1 1 1 1 1 2 -1 1 -1 -1 1 1 1 1 2 1 -1 -1 -1 1 1 1 1 4 -1 -1 1 1 -1 -1 1 -1 4 -1 1 -1 1 -1 -1 1 -1 4 1 -1 -1 1 -1 -1 1 -1 2 -1 -1 1 1 -1 1 1 1 2 -1 1 -1 1 -1 1 1 1 2 1 -1 -1 1 -1 1 1 1 2 -1 -1 1 1 1 -1 1 1 2 -1 1 -1 1 1 -1 1 1 2 1 -1 -1 1 1 -1 1 1 2 -1 -1 1 1 1 1 1 -1 2 -1 1 -1 1 1 1 1 -1 2 1 -1 -1 1 1 1 1 -1 4 -1 1 1 -1 -1 -1 1 -1 4 1 -1 1 -1 -1 -1 1 -1 2 -1 1 1 -1 -1 1 1 1 2 1 -1 1 -1 -1 1 1 1 2 -1 1 1 -1 1 -1 1 1 2 1 -1 1 -1 1 -1 1 1 2 -1 1 1 -1 1 1 1 -1 2 1 -1 1 -1 1 1 1 -1 2 -1 1 1 1 -1 -1 1 1 2 1 -1 1 1 -1 -1 1 1 2 -1 1 1 1 -1 1 1 -1 2 1 -1 1 1 -1 1 1 -1 2 -1 1 1 1 1 -1 1 -1 2 1 -1 1 1 1 -1 1 -1 0 -1 1 1 1 1 1 1 1 0 1 -1 1 1 1 1 1 1 4 1 1 -1 -1 -1 -1 1 -1 2 1 1 -1 -1 -1 1 1 1 2 1 1 -1 -1 1 -1 1 1 2 1 1 -1 -1 1 1 1 -1 2 1 1 -1 1 -1 -1 1 1 2 1 1 -1 1 -1 1 1 -1 2 1 1 -1 1 1 -1 1 -1 0 1 1 -1 1 1 1 1 1 2 1 1 1 -1 -1 -1 1 1 2 1 1 1 -1 -1 1 1 -1 2 1 1 1 -1 1 -1 1 -1 0 1 1 1 -1 1 1 1 1 2 1 1 1 1 -1 -1 1 -1 0 1 1 1 1 -1 1 1 1 0 1 1 1 1 1 -1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 -1 0 1 1 1 1 1 1 -1 1 2 1 1 1 1 1 -1 -1 -1 2 1 1 1 1 -1 1 -1 -1 2 1 1 1 1 -1 -1 -1 1 2 1 1 1 -1 1 1 -1 -1 2 1 1 1 -1 1 -1 -1 1 2 1 1 1 -1 -1 1 -1 1 4 1 1 1 -1 -1 -1 -1 -1 2 1 1 -1 1 1 1 -1 -1 2 1 1 -1 1 1 -1 -1 1 2 1 1 -1 1 -1 1 -1 1 4 1 1 -1 1 -1 -1 -1 -1 2 1 1 -1 -1 1 1 -1 1 4 1 1 -1 -1 1 -1 -1 -1 4 1 1 -1 -1 -1 1 -1 -1 4 1 1 -1 -1 -1 -1 -1 1 0 0 1 0 0 0 0 0 0 2 1 -1 1 1 1 1 -1 -1 2 -1 1 1 1 1 1 -1 -1 2 1 -1 1 1 1 -1 -1 1 2 -1 1 1 1 1 -1 -1 1 2 1 -1 1 1 -1 1 -1 1 2 -1 1 1 1 -1 1 -1 1 4 1 -1 1 1 -1 -1 -1 -1 4 -1 1 1 1 -1 -1 -1 -1 2 1 -1 1 -1 1 1 -1 1 2 -1 1 1 -1 1 1 -1 1 4 1 -1 1 -1 1 -1 -1 -1 4 -1 1 1 -1 1 -1 -1 -1 4 1 -1 1 -1 -1 1 -1 -1 4 -1 1 1 -1 -1 1 -1 -1 4 1 -1 1 -1 -1 -1 -1 1 4 -1 1 1 -1 -1 -1 -1 1 0 0 0 1 0 0 0 0 0 2 1 -1 -1 1 1 1 -1 1 2 -1 1 -1 1 1 1 -1 1 2 -1 -1 1 1 1 1 -1 1 4 1 -1 -1 1 1 -1 -1 -1 4 -1 1 -1 1 1 -1 -1 -1 4 -1 -1 1 1 1 -1 -1 -1 4 1 -1 -1 1 -1 1 -1 -1 4 -1 1 -1 1 -1 1 -1 -1 4 -1 -1 1 1 -1 1 -1 -1 4 1 -1 -1 1 -1 -1 -1 1 4 -1 1 -1 1 -1 -1 -1 1 4 -1 -1 1 1 -1 -1 -1 1 0 0 0 0 1 0 0 0 0 4 1 -1 -1 -1 1 1 -1 -1 4 -1 1 -1 -1 1 1 -1 -1 4 -1 -1 1 -1 1 1 -1 -1 4 -1 -1 -1 1 1 1 -1 -1 4 1 -1 -1 -1 1 -1 -1 1 4 -1 1 -1 -1 1 -1 -1 1 4 -1 -1 1 -1 1 -1 -1 1 4 -1 -1 -1 1 1 -1 -1 1 0 0 0 0 0 1 0 0 0 4 1 -1 -1 -1 -1 1 -1 1 4 -1 1 -1 -1 -1 1 -1 1 4 -1 -1 1 -1 -1 1 -1 1 4 -1 -1 -1 1 -1 1 -1 1 4 -1 -1 -1 -1 1 1 -1 1 0 0 0 0 0 0 1 0 0 6 1 -1 -1 -1 -1 -1 -1 -1 6 -1 1 -1 -1 -1 -1 -1 -1 6 -1 -1 1 -1 -1 -1 -1 -1 6 -1 -1 -1 1 -1 -1 -1 -1 6 -1 -1 -1 -1 1 -1 -1 -1 6 -1 -1 -1 -1 -1 1 -1 -1 6 -1 -1 -1 -1 -1 -1 1 -1 6 -1 -1 -1 -1 -1 -1 -1 1 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 0 1 0 0 0 0 -1 0 0 0 1 0 0 0 -1 0 0 0 0 1 0 0 -1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 AFFINE_HULL N_VERTICES 128 N_FACETS 144 AMBIENT_DIM 8 BOUNDED _version 1.5.1 _application polytope