Unique father problem

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Unique father problem
Unique father problem image
Pattern type Problem
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 April 2020.

Also see


  1. Robert Wainwright (October 1972). "Lifeline Volume 6". Lifeline p. 1.