A random distribution is also chaotic in the sense there is little or no spatial or temporal autocorrelation. Perhaps only smaller particles (such as those giving a Brownian movement) are truly chaotic, however that is pretty academic and of small relevance to photographic studies of patterns in nature.
From yesterday's trip inland to a drier and colder regime than we have had here near the Oslo Fjord so far this winter.
I did a series of test images of this scene, which comprises riperian forest (mainly alders and downy birch) responding to a recent snowfall. The weaker trunks will bend over so avoid breaking under the often heavy load. This was a perfect scene for assessment of chromatic aberration of older lenses. I tested such familiar Nikkors as the 400 mm f/5.6, 35-70 mm f/3.5, 20/3.5, and the old-timer 50-300 mm f/4.5 ED. This depiction of riparian chaos is taken with the latter lens on a Nikon Df, and apparently this 40+ year old lens (1977) still knows how to bend light rays