More generally any vertex-uniform polyhedron or tiling with a vertex configuration consisting of all even-numbered elements can be alternated.
A special case is square faces whose order divides in half into degenerate digons.
Here all the pentagons have been alternated into pentagrams, and triangles have been inserted to take up the resulting free edges.
Here all the pentagrams have been alternated back into pentagons, and triangles have been inserted to take up the resulting free edges.
Truncating the "higher order" vertices and both vertex types produce these forms: