The answer seems to me, even if somewhat speculative, to follow from the new insights into dynamical systems. Our feeling for beauty is inspired by the harmonious arrangement of order and disorder as it occurs in natural objects - in clouds, trees, mountain ranges, or snow crystals. The shapes of all these are dynamical processes jelled into physical forms, and particular combinations or order and disorder are typical for them. The great physicists all thought about it, formally or informally. A smooth flow breaks up into whorls and eddies.
Wild patterns disrupt the boundary between fluid and solid.
Energy drains rapidly from large-scale motions to small. It seemed almost unknowable. Page 121 Feigenbaum had discovered universality and created a theory to explain it. That was the pivot on which the new science swung. Unable to publish such an astonishing and counter-intuitive results, he spread the word in a series of lectures at a New Hampshire conference in August 1976, an international mathematics meeting at Los Alomos in September, a set of talks at Brown University in November.