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."

Source: wiktionary

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?

Source: wiktionary

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.

Source: wiktionary