OCA:Move
Move  


View animated image  
Rulestring  245/368 B368/S245 


Rule integer  26952  
Character  Stable  
Black/white reversal  B012578/S134678 
Move (or Morley^{[note 1]}) is a Lifelike cellular automaton in which cells survive from one generation to the next if they have 2, 4, or 5 neighbours. Cells are born if they have 3, 6, or 8 neighbours. Random starting patterns tend to stabilize into ash consisting of small still lifes and period 2 and 4 oscillators. It also contains one commonlyoccurring slowmoving spaceship and slowmoving puffer. The time required to stabilize is generally much shorter than in the Game of Life.
On August 20, 2020, Layz Boi constructed a Rule 110 unit cell in Move, proving the rule Turingcomplete.^{[1]}
Contents
Notable patterns
The move rule contains a large variety of known patterns, including many guns, spaceships^{[2]}, and puffers.
Still lifes
Below is an enumeration of small still lifes in the move rule.^{[note 2]} Despite the abundance of interesting moving patterns in this rule, there are relatively few still lifes. It can be seen that there are still lifes of arbitrarily large size by noting that for every odd number of cells greater than 5, there is an obvious extension of the Zpentomino for that number of cells that is a still life. Also, every lake is a still life, so for any n ≥ 3, there is at least one still life with 8n cells.


Common objects
Random starting patterns tend to stabilize into a much lower density (around 0.4%) than in Game of Life (around 3%). There are many more oscillators than still lifes in Move. About five sixths of objects in random settled areas are oscillators.
Rank  Object  Name  Period  Relative Frequency 

1  Blinker  2  0.305  
2  xp4_37  4  0.155  
3  Tub  1  0.128  
4  xp2_f  2  0.108  
5  xp4_165  4  0.078  
6  xp2_272  2  0.058  
7  xp2_ff  2  0.056  
8  Zpentomino  1  0.047  
9  xp4_163  4  0.025  
10  xs8_32da  1  0.014 
Spaceships
There are at least 16 spaceships known in the move rule.^{[2]} Of these, by far the most wellknown is the jellyfish, which travels at speed c/7 diagonally. On December 18, 2020, AforAmpere found the first known knightship in this rule, specifically a (2,1)c/5.^{[3]}
Guns
At least 11 guns have been found, most of them by Stephen Morley and Jason Summers.^{[4]} The first gun to be constructed was called Safalra's bow and was discovered on September 21, 2002 by Stephen Morley. It shoots two c/7 diagonal spaceships in opposite directions every 404 generations. Jason's bow, shown to the right, is a smaller version of Safalra's bow that was found by Jason Summers.
Other patterns
One puffer that commonly appears from random starting configurations is shown below. Its period is 170 and it travels at speed 13c/170. It is formed by a common sixcell pattern, which is the smallest pattern that exhibits infinite growth in this rule. Compare this with ten cells for infinite growth in Life.



Notes
References
 ↑ Layz Boi (August 20, 2020). Re: List of the Turingcomplete totalistic lifelike CA (discussion thread) at the ConwayLife.com forums
 ↑ ^{2.0} ^{2.1} "Move (B368/S245)". David Eppstein. Retrieved on March 28, 2009.
 ↑ AforAmpere (December 18, 2020). Re: Move/Morley (245/368) (discussion thread) at the ConwayLife.com forums
 ↑ "b368s245 Guns". Stephen Morley. Retrieved on March 28, 2009.
External links
 Move at Adam P. Goucher's Catagolue
 Move at David Eppstein's Glider Database
 Move/Morley (245/368) (discussion thread) at the ConwayLife.com forums