the second one is obtained from the first one by switching the center and right points, the third one is obtained by switching the center and the top, the fourth one by switching the center and top left, and so on. So they're all related through switching 2 points from the first one. From that all I can say is "this is a representation of a symmetry group" lol. But hey, at least I figured out the relationship between the figures? EDIT: is it all the ways to interconnect 6 points such that no node has 2 connecting lines of the same colors? Is this related to graph theory? Wait but no, the 6 images would be a bit redundant if that were the case. Not to mention all the other permutations of the nodes. There should be 6!, right? Unless you didn't count permuting the colors or rotating. Or maybe mirroring? Eh, I guess that's repeating some patterns, and I'm gonna guess there are exactly 6 left.