omniperiodic

English

Etymology

From omni- +‎ periodic.

Adjective

omniperiodic (not comparable)

1. Having or consisting of every period (in various senses).
   • 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:

     […] 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."

   • 2023 December 13, “Mathematicians Prove the "Omniperiodicity" of Conway's Game of Life”, in Discover‎^[1], Waukesha, W.I.: Kalmbach Media, →ISSN, →OCLC, archived from the original on 2024-01-14:

     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?

   • 2024 January 18, Alex Stone, “Math's 'Game of Life' Reveals Long-Sought Repeating Patterns”, in Quanta Magazine‎^[2], New York, N.Y.: Simons Foundation, →ISSN, →OCLC, archived from the original on 2024-04-29:

     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.

Usage notes

• The term is mainly used in the context of Conway's Game of Life, which in 2023 was confirmed to have oscillators of every period.

Derived terms

• omniperiodicity