Degrees of randomness
Here are three versions of my Random plain weave. In the top panel, I select randomly from four colors (most random). In the middle panel, I allow the randomizer to select the same color twice in a row, but not three times (less random). In the bottom panel, I don’t let the colors repeat at all (least random).
The mathematical notion of randomness is not a very good approximation for the human sense of randomness. For example, when Iranians made up the numbers for their bogus election, they didn’t do a very good job of it. It’s easy enough to tell the difference between random numbers and numbers that somebody made up to look random.
I like some randomness in my images. There is always the “found art” of patterns that I didn’t explicitly put there. The easiest thing to do is to use the random number generator built into the programming language (top panel), but the mismatch between math and human psychology suggests that a modified randomness might be more esthetically pleasing. One can only experiment and see what happens. In this case, I like the middle panel best.