OCA:Move
| Move | |
| View static image | |
| View animated image | |
| Rulestring | 245/368 B368/S245 |
|---|---|
| Character | Stable |
Move (or Morley[1]) is a Life-like 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 commonly-occurring slow-moving spaceship and slow-moving puffer. The time required to stabilize is generally much shorter than in the Game of Life.
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.[3] 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 Z-pentomino 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.
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Guns
At least 11 guns have been found, most of them by Stephen Morley and Jason Summers.[4] The first gun discovered is called Safalra's bow, which was discovered on September 21, 2002 by Stephen Morley, and 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.
References
- ↑ The name given to this rule in Golly, in reference to Stephen Morley, who has extensively studied it.
- ↑ "Move (B368/S245)". David Eppstein. Retrieved on March 28, 2009.
- ↑ Computed using the EnumStillLifes.c script located here.
- ↑ "b368s245 Guns". Stephen Morley. Retrieved on March 28, 2009.