P.S. One commenter on the github Python code page for these pictures wrote: ----- It's worth noting that any structure that is not an algorithmic artificat is really the frontier of numbers at some threshold (in this case, 1 million). Every possible finite binary vector corresponds to at least one integer in this representation (actually, infinitely many, as all repeated factors are contracted onto a single binary indicator). Therefore, in the infinite set of integers, all points are present, at every possible angle or distance from each other, and the space would be perfectly evenly filled. However, by cutting off at some specific n, we see the “surface” that we have reached by composing together primes such that their product is less than n. ----- Seems right to me! —Dan