Gray counter

Gray counter is a period-4 oscillator that was found in 1971.[1] The interior rotor simulates a cycle through the Gray codes from 0 to 3.

Gray counter
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Pattern type Oscillator
Oscillator type Muttering moat
Billiard table
Number of cells 26
Bounding box 13×9
Period 4
Mod 4
Heat 2
Volatility 0.13
Strict volatility 0.13
Discovered by Unknown
Year of discovery 1971

The 5-cell long sides of the main part of the stator require induction coils: the option with the smallest population (as well as the highest symmetry) uses two tubs as pictured. A smaller bounding box may be reached using snakes or bi-blocks.

A 27-glider synthesis is known for a stator variant of this oscillator in which one of the tubs is replaced with a boat. Additionally, another variant is known which occurred naturally on October 31, 2015, in a soup submitted to Catagolue by Tomas Rokicki.[2] GUYTU6J found an 11-glider synthesis for the latter variant based on this soup on March 14, 2020.[3]

See also

References
  1. Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. Adam P. Goucher (November 3, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  3. GUYTU6J (March 14, 2020). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  • 26P4.3 at Heinrich Koenig's Game of Life Object Catalogs
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