I enjoyed the link thanks. The patterns concerned there develop out of unstable states (random or patterned) by ~preferences of the interconnecting medium. I notice two dimensional mediums were only examined and 3d may provide scope for more complex phenomenon. The apparent patterning which Hoff mentions is entirely coincidental and uncoordinated by any medium/connection between random variates. Collections of random variates are able to present seemingly unlikely relationships or artefacts which can amount to meaningful or stable forms in other contexts - as monkeys at a keyboard chancing on a few pearls of wisdom.

I have spent a while scrutinising the appearance of patterns in test plots for my random number library: http://strainer.github.io/Fdrandom.js/ and learned that they can be expected to occur to some degree. There surely must be some theoretical and philosophical investigations of chaos capacity to chance on order.