The cut polytope CUT(4) is a free sum of two tetrahedra.
DIM
6
VERTICES
1 0 0 0 0 0 0
1 1 1 0 0 1 1
1 0 1 1 1 1 0
1 1 0 1 1 0 1
1 1 1 1 0 0 0
1 1 0 0 1 1 0
1 0 1 0 1 0 1
1 0 0 1 0 1 1
FACETS
0 1 1 0 -1 0 0
0 1 0 1 0 -1 0
0 1 0 -1 0 1 0
0 1 -1 0 1 0 0
0 0 1 1 0 0 -1
0 0 1 -1 0 0 1
0 0 0 0 1 1 -1
0 0 0 0 1 -1 1
0 0 0 0 -1 1 1
0 0 -1 1 0 0 1
0 -1 1 0 1 0 0
0 -1 0 1 0 1 0
2 0 0 0 -1 -1 -1
2 0 -1 -1 0 0 -1
2 -1 0 -1 0 -1 0
2 -1 -1 0 -1 0 0
AFFINE_HULL
VERTICES_IN_FACETS
{0 2 3 5 6 7}
{0 1 2 5 6 7}
{0 2 3 4 6 7}
{0 1 2 4 6 7}
{0 1 3 5 6 7}
{0 2 3 4 5 7}
{0 1 3 4 6 7}
{0 1 2 4 5 7}
{0 2 3 4 5 6}
{0 1 2 4 5 6}
{0 1 3 4 5 7}
{0 1 3 4 5 6}
{1 2 3 5 6 7}
{1 2 3 4 6 7}
{1 2 3 4 5 7}
{1 2 3 4 5 6}
N_VERTICES
8
N_FACETS
16
AMBIENT_DIM
6
SIMPLICIAL
F_VECTOR
8 28 56 68 48 16
F2_VECTOR
8 56 168 272 240 96
56 28 168 408 480 240
168 168 56 272 480 320
272 408 272 68 240 240
240 480 480 240 48 96
96 240 320 240 96 16
NEIGHBORLINESS
3
NEIGHBORLY
BOUNDED
GALE_TRANSFORM
-1
-1
-1
-1
1
1
1
1
_version 1.5.1
_application polytope