OCA:Stains

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Stains
Stains rule
Rulestring 235678/3678
B3678/S235678
Rule integer 252360
Character Stable
Black/white reversal B478/S34678
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Stains is a Life-like cellular automaton in which dead cells get born if they have precisely three, six, seven or eight live neighbors, and in which live cells will survive if they have precisely two, three, five, six, seven or eight live neighbors. Almost all random patterns in Stains grow up to a certain point and then turn into one or more irregular-shaped oscillators or still lifes.

Spaceships

A variety of spaceships are known to exist in Stains, including the glider as well as several larger ships:

Eppstein's glider 3640 (c/2 orthogonal)
Eppstein's glider 5900 (c/6 orthogonal)
Eppstein's glider 13695 (2c/5 orthogonal)
Eppstein's glider 13965 (c/3 orthogonal)
Eppstein's glider 18511 (c/4 orthogonal)
Eppstein's glider 20317 (c/5 orthogonal)

Infinite growth

The question of whether infinite growth existed in Stains remained open until 1999, when a variety of 2c/5 orthogonal linear growth patterns were published.[1] Linear growth patterns with speeds of 3c/7 orthogonal were later discovered in 2016,[2] followed by c/3 and c/4 orthogonal in 2017.[3][4] However, the existence of nonlinear infinite growth as well as sawtooths in this rule remains an open question.

References

  1. Peter Naszvadi (May 7, 2016). B3678/S235678 (Stains) found patterns - infinite growth (discussion thread) at the ConwayLife.com forums
  2. Josh Ball (July 30, 2016). Re: Thread for Your Accidental Discoveries that Aren't in CGOL (discussion thread) at the ConwayLife.com forums
  3. Peter Naszvadi (January 15, 2017). Re: B3678/S235678 (Stains) found patterns - infinite growth (discussion thread) at the ConwayLife.com forums
  4. Josh Ball (January 22, 2017). Re: B3678/S235678 (Stains) found patterns - infinite growth (discussion thread) at the ConwayLife.com forums

External links