omniperiodic en · ADJ
Etymology
From omni- + periodic.
Meanings
-
(not-comparable) Having or consisting of every period (in various senses).
[…] 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."
1891 December 5, John Kendrick Bangs, “The Spectre Cook of Bangletop”, in Harper's Weekly, volume XXXV, number 1824, New York, N.Y.: Harper & Brothers, page 969, column 1: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?
2023 December 13, “Mathematicians Prove the "Omniperiodicity" of Conway's Game of Life”, in Discover, Waukesha, W.I.: Kalmbach Media, →ISSN, →OCLC, archived from the original on 14 Jan 2024: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.
2024 January 18, Alex Stone, “Math's 'Game of Life' Reveals Long-Sought Repeating Patterns”, in Quanta Magazine, New York, N.Y.: Simons Foundation, →ISSN, →OCLC, archived from the original on 29 Apr 2024: