How does Stars (M. C. Escher) elucidate its Analysis?
Martin Beech interprets the many polyhedral compounds within Stars as corresponding to double stars and triple star systems in astronomy. Beech writes that, for Escher, the mathematical orderliness of polyhedra depicts the "stability and timeless quality" of the heavens, and similarly
Marianne L. Teuber writes that Stars "celebrates Escher's identification with Johannes Kepler's neo-Platonic belief in an underlying mathematical order in the universe".Alternatively, Howard W. Jaffe interprets the polyhedral forms in Stars crystallographically, as "brilliantly faceted jewels" floating through space, with its compound polyhedra representing crystal twinning.
However, R. A. Dunlap points out the contrast between the order of the polyhedral forms and the more chaotic biological nature of the chameleons inhabiting them. In the same vein, Beech observes that the stars themselves convey tension between order and chaos: despite their symmetric shapes, the stars are scattered apparently at random, and vary haphazardly from each other.  As Escher himself wrote about the central chameleon cage, "I shouldn't be surprised if it wobbles a bit."
double star astronomy polyhedral compound Johannes Kepler triple star systems crystallographically Plato polyhedra chameleon polyhedral crystal twinning