Unique father problem

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Unique father problem
Unique father problem image
Pattern type Problem
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

The unique father problem is the following question, posed by John Conway in 1972 in Lifeline Volume 6 with an associated $50 cash prize,[1] along with the grandfather problem:

Is there a stable configuration whose only father is itself (with some fading junk some distance away not being counted)?

The problem remains open as of January 2022, although an infinite 6×3 pattern was found on December 31, 2021 that qualifies. [2]

Also see

References

  1. ↑ Robert Wainwright (October 1972). Lifeline, vol 6, p. 1.
  2. ↑ Ilkka Törmä (January 2, 2022). Re: Unproven conjectures (discussion thread) at the ConwayLife.com forums