alternate

The most high God, in all things appertaining unto this life, for sundry wise ends alternates the disposition of good and evil.

The flood and ebb tides alternate with each other.

The land alternates between rocky hills and sandy plains.

This case suggests that the alternation of a polyhedron should be bounded by actual vertex figures and alternated faces. The case of the cube is in agreement with this notion, since the alternated square is nothing.