Apparently (at least as of 2022) http://www.artmatrix.com/ is a going concern and they now sell this same animation on DVD with the alternate title "Mathematics for Lovers", so I'm forced to speculate as to which of my neighbours has a complex plane ... complex.
Sad update: one of the two company owners died in December 2022 and it looks like it shut down as a result (along with the radio-based broadband ISP they ran in Ithaca). RIP Homer Smith, you sound like you were a real one.
Awww
There's a gofundme (kind of stale now) to support Jane Staller (the other artmatrix/lightlink owner and Homer's wife) here: https://www.gofundme.com/f/help-jane-staller-after-the-death-of-her-husband
I just kicked in a few bucks, maybe if you're into #fractalart and such it's a nice opportunity to recognise some pioneers in promoting it?