Years ago I posted a question on CraigsList (https://forums.craigslist.org/?ID=20211237) Science and Math discussion board, that I think may be nearly equivalent, and equivalently ambiguous in it's notion of random, to this post. It went on for quite some time, and was even reprised later (https://forums.craigslist.org/?areaID=4&ID=20432604) by someone else. Helpful people went back and forth with beautiful 3d renders to illustrate their solutions, though those links are sadly broken now.
It is very gratifying to read this post, as I think it explains why we were never able to come to a satisfying answer.
It is very gratifying to read this post, as I think it explains why we were never able to come to a satisfying answer.