First, some definitions:

By "vertex figure" (or "verf") I mean the intersection of the polytope with a small sphere centred on the vertex. This includes information about the dihedral/dichoral angles, but not necessarily about the identities of the cells. In the picture below, for example, an octahedron could be replaced with a square pyramid, or an augmented sphenocorona, and the vertex figure would be the same.

By "vertex configuration" (or "verc") I mean the topological arrangement of faces/cells around the vertex. This includes information about their identities and orientations, but not necessarily about the dihedral/dichoral angles. (Formally, I could define it in terms of the abstract polytope, which is a partially ordered set: the vertex configuration is all facets greater than the vertex, and all k-faces (of any dimension k) less than these facets.)

For 2D polygons, vercs are trivial; any vertex has two edges around it. But verfs are not trivial; they tell the angle at the vertex.

For 3D polyhedra, in general, verfs and vercs are independent; neither determines the other. But for CRF polyhedra, the verf determines the verc, since a face's angle at one vertex uniquely determines the type of face.

For 4D polychora, this is reversed: the verf does not determine the verc, as I explained with the octahedron; but the verc determines the verf, which is equivalent to saying that 4D vertices are rigid. (This would follow from the rigidity of convex polyhedra in spherical space, which I think has been proven....)

So, I was calculating the possible vertex figures of the Blind polychora (convex regular-celled polychora). There's a bunch of pentagonal things like mibdi or pip, which appear in ex diminishings or in rox; there's the augmented triangular prism, which appears in aurap; but there's also the square antiprism, which does not appear in any Blind polychoron.

Does this vertex configuration appear in any CRF polychoron?

If not, does this vertex figure appear in any CRF polychoron?