The 6-dimensional half-cube, given by the convex hull of all 0/1-vectors of even weight.
DIM
6
VERTICES
1 0 0 0 0 0 0
1 1 1 0 0 0 0
1 1 0 1 0 0 0
1 1 0 0 1 0 0
1 1 0 0 0 1 0
1 1 0 0 0 0 1
1 0 1 1 0 0 0
1 0 1 0 1 0 0
1 0 1 0 0 1 0
1 0 1 0 0 0 1
1 0 0 1 1 0 0
1 0 0 1 0 1 0
1 0 0 1 0 0 1
1 0 0 0 1 1 0
1 0 0 0 1 0 1
1 0 0 0 0 1 1
1 0 0 1 1 1 1
1 0 1 0 1 1 1
1 0 1 1 0 1 1
1 0 1 1 1 0 1
1 0 1 1 1 1 0
1 1 0 0 1 1 1
1 1 0 1 0 1 1
1 1 0 1 1 0 1
1 1 0 1 1 1 0
1 1 1 0 0 1 1
1 1 1 0 1 0 1
1 1 1 0 1 1 0
1 1 1 1 0 0 1
1 1 1 1 0 1 0
1 1 1 1 1 0 0
1 1 1 1 1 1 1
FACETS
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
0 1 1 1 1 1 -1
0 1 1 1 1 -1 1
0 1 1 1 -1 1 1
0 1 1 -1 1 1 1
0 1 -1 1 1 1 1
0 -1 1 1 1 1 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
2 1 1 1 -1 -1 -1
2 1 1 -1 1 -1 -1
2 1 1 -1 -1 1 -1
2 1 1 -1 -1 -1 1
2 1 -1 1 1 -1 -1
2 1 -1 1 -1 1 -1
2 1 -1 1 -1 -1 1
2 1 -1 -1 1 1 -1
2 1 -1 -1 1 -1 1
2 1 -1 -1 -1 1 1
2 -1 1 1 1 -1 -1
2 -1 1 1 -1 1 -1
2 -1 1 1 -1 -1 1
2 -1 1 -1 1 1 -1
2 -1 1 -1 1 -1 1
2 -1 1 -1 -1 1 1
2 -1 -1 1 1 1 -1
2 -1 -1 1 1 -1 1
2 -1 -1 1 -1 1 1
2 -1 -1 -1 1 1 1
4 1 -1 -1 -1 -1 -1
4 -1 1 -1 -1 -1 -1
4 -1 -1 1 -1 -1 -1
4 -1 -1 -1 1 -1 -1
4 -1 -1 -1 -1 1 -1
4 -1 -1 -1 -1 -1 1
AFFINE_HULL
N_VERTICES
32
N_FACETS
44
AMBIENT_DIM
6
N_EDGES
240
GRAPH
{1 2 3 4 5 6 7 8 9 10 11 12 13 14 15}
{0 2 3 4 5 6 7 8 9 25 26 27 28 29 30}
{0 1 3 4 5 6 10 11 12 22 23 24 28 29 30}
{0 1 2 4 5 7 10 13 14 21 23 24 26 27 30}
{0 1 2 3 5 8 11 13 15 21 22 24 25 27 29}
{0 1 2 3 4 9 12 14 15 21 22 23 25 26 28}
{0 1 2 7 8 9 10 11 12 18 19 20 28 29 30}
{0 1 3 6 8 9 10 13 14 17 19 20 26 27 30}
{0 1 4 6 7 9 11 13 15 17 18 20 25 27 29}
{0 1 5 6 7 8 12 14 15 17 18 19 25 26 28}
{0 2 3 6 7 11 12 13 14 16 19 20 23 24 30}
{0 2 4 6 8 10 12 13 15 16 18 20 22 24 29}
{0 2 5 6 9 10 11 14 15 16 18 19 22 23 28}
{0 3 4 7 8 10 11 14 15 16 17 20 21 24 27}
{0 3 5 7 9 10 12 13 15 16 17 19 21 23 26}
{0 4 5 8 9 11 12 13 14 16 17 18 21 22 25}
{10 11 12 13 14 15 17 18 19 20 21 22 23 24 31}
{7 8 9 13 14 15 16 18 19 20 21 25 26 27 31}
{6 8 9 11 12 15 16 17 19 20 22 25 28 29 31}
{6 7 9 10 12 14 16 17 18 20 23 26 28 30 31}
{6 7 8 10 11 13 16 17 18 19 24 27 29 30 31}
{3 4 5 13 14 15 16 17 22 23 24 25 26 27 31}
{2 4 5 11 12 15 16 18 21 23 24 25 28 29 31}
{2 3 5 10 12 14 16 19 21 22 24 26 28 30 31}
{2 3 4 10 11 13 16 20 21 22 23 27 29 30 31}
{1 4 5 8 9 15 17 18 21 22 26 27 28 29 31}
{1 3 5 7 9 14 17 19 21 23 25 27 28 30 31}
{1 3 4 7 8 13 17 20 21 24 25 26 29 30 31}
{1 2 5 6 9 12 18 19 22 23 25 26 29 30 31}
{1 2 4 6 8 11 18 20 22 24 25 27 28 30 31}
{1 2 3 6 7 10 19 20 23 24 26 27 28 29 31}
{16 17 18 19 20 21 22 23 24 25 26 27 28 29 30}
_version 1.5.1
_application polytope