Unsynthesizable oscillator 1
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Unsynthesizable oscillator 1 is an oscillator that is provably impossible to synthesize. It is the first such oscillator where the proof of impossibility does not involve the still life patch in the solution for unique father problem.
The first example was constructed on April 27, 2022 by Oscar Cunningham based on a "self-forcing" finite patch of period-2 agar found by Ilkka Törmä and Ville Salo.[1] A reduced form by wwei23 is shown in the infobox.[2]
References
- ↑ Oscar Cunningham (April 27, 2022). Re: Unproven conjectures (discussion thread) at the ConwayLife.com forums
- ↑ Dave Greene (May 2, 2022). Re: Unproven conjectures (discussion thread) at the ConwayLife.com forums
External links
- Unsynthesizable oscillator 1 at Adam P. Goucher's Catagolue (extended)
Categories:
- Patterns
- Oscillators with between 1,000 and 9,999 cells
- Periodic objects with minimum population between 1,000 and 9,999
- Patterns with between 1,000 and 9,999 cells
- Patterns found by Oscar Cunningham
- Patterns found by Ilkka Törmä
- Patterns found by Ville Salo
- Patterns found in 2022
- Patterns that can not be constructed with gliders
- Oscillators
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat between 700 and 799
- Oscillators with volatility 0.50
- Oscillators with strict volatility 0.50
- Oscillators with n symmetry