0_21+Pyr(octahedron)

Definitions

0_21 is a 4-dimensional polytope obtained by the convex hull of the 10 vectors

0 0 0 1 1

0 0 1 0 1

0 1 0 0 1

1 0 0 0 1

0 0 1 1 0

0 1 0 1 0

1 0 0 1 0

0 1 1 0 0

1 0 1 0 0

1 1 0 0 0 The facets of this polytope are in two classes

The polytope 0_21+Pyr(octahedron) is obtained by replacing one of this octahedral facet by a pyramid over an octahedron. It is noteworthy that all other facets of this polytope are preserved and have the same number of incident vertices.