Omniperiodic

[…] he is said to have observed that, architecturally, Bangletop Hall was "cosmopolitan and omniperiodic, and therefore a liberal education to all who should come to study and master its details."

This raises an interesting question. Is it possible to make patterns that repeat over all possible periods? In other words, is the Game of Life omniperiodic?

Now Karpovich and six co-authors have announced in a December preprint that they have found the last two missing periods: 19 and 41. With those gaps filled, Life is now known to be "omniperiodic" — name a positive integer, and there exists a pattern that repeats itself after that many steps.