[gradschool]

Random thought/nerd snipe hazard: would a Wolfram-style classification of cellular automata running on this tiling kick up anything interesting?

[dvgrn]

There have been some experiments along these lines for "hat" tilings:

  https://conwaylife.com/forums/viewtopic.php?p=161571#p161571

As far as I know, HatLife hasn't been adjusted to make SpectreLife yet, but it's probably only a matter of time!