DESCRIPTION The 3-dimensional half-cube

The 3-dimensional half-cube, given by the convex hull of all 0/1-vectors of even weight --- identical with the cut polytope CUT3:3-4.poly; a regular tetrahedron.


DIM
3

VERTICES
1 0 0 0 
1 0 1 1
1 1 0 1
1 1 1 0

FACETS
0 1 1 -1
0 1 -1 1
0 -1 1 1
2 -1 -1 -1

AFFINE_HULL

VERTICES_IN_FACETS
{0 1 2}
{0 1 3}
{0 2 3}
{1 2 3}

N_FACETS
4

AMBIENT_DIM
3

SIMPLICIAL


_version 1.5.1
_application polytope