An array of Truncated Octahedra, only square faces filled in, showing alternate sets of TO, indicated with white and charcoal.

An array of Triacontahedra, showing a topological equivalence with TO array, indicated by color of faces. This array shows frame of convex triacons alternating with concave, dimpled in octahedral symmetry.

Showing a transformation from Truncated Octahedron to canonical Triacontahedron, through triacontahedra with 2 kinds of faces, to a cube.