Pseudo-deltoidal icositetrahedron
The pseudo-deltoidal icositetrahedron is a convex polyhedron with 24 kites as its faces. It is the dual of the pseudorhombicuboctahedron.
It is similar to the deltoidal icositetrahedron, but has a twist, similar to the relationship between the pseudorhombicuboctahedron and the rhombicuboctahedron. As the pseudorhombicuboctahedron is not truly vertex-transitive, the pseudo-deltoidal icositetrahedron is not truly face-transitive, with its faces in two different symmetry orbits ; however, since the pseudorhombicuboctahedron has a singular vertex figure, the pseudo-deltoidal icositetrahedron has only one type of face.
