The above arrangement of graphic images on cube faces is purely
decorative and static, and of little mathematical interest.
(A less static, but structurally chaotic, artifact might be made by
pasting the above 24 graphic images in the "Cosets in S4" picture
above onto the 24 faces of a 2x2x2 Rubik cube. This suggests the
reflection below on the poet Wallace Stevens, whose "Connoisseur
of Chaos" first appeared on page 90 of Twentieth Century Verse ,
Numbers 12-13, October 1938.)
If mathematically interesting permutations of the graphic images
are to be done, the images should be imagined as situated on
parallel planes, as in the permutahedron below —
Click the above permutahedron for an analysis of its structure.