Population: Difference between revisions
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The '''population''' of a [[pattern]] is the number of ON (live) [[cell]]s. For example, the population of the [[boat]] is {{cells|5|text=five}}, while the minimum population of the [[pentadecathlon]] is {{cells|12}}. | The '''population''' of a [[pattern]] is the number of ON (live) [[cell]]s. For example, the population of the [[boat]] is {{cells|5|text=five}}, while the minimum population of the [[pentadecathlon]] is {{cells|12}}. | ||
All patterns with population 5 or less are described in the [[polyplet]] article; there are no objects that can be formed with 5 cells but only in two or more unconnected groups. | All patterns with population 5 or less in [[Life]] are described in the [[polyplet]] article; there are no objects that can be formed with 5 cells but only in two or more unconnected groups. | ||
All patterns with population 9 or less have been analyzed, as have all with 10 in a single cluster. 10 is the minimum number of cells for [[infinite growth]]. It would be tricky to analyze all with 10 completely, as two [[R-pentomino]]es can interact with each other and their emitted gliders. | All patterns with population 9 or less in [[Life]] have been analyzed, as have all with 10 in a single cluster. 10 is the minimum number of cells for [[infinite growth]]. It would be tricky to analyze all with 10 completely, as two [[R-pentomino]]es can interact with each other and their emitted gliders. | ||
11-bit patterns have not been exhaustively analyzed; it is possible but unlikely that [[quadratic growth]] exists with 11 cells. | 11-bit patterns have not been exhaustively analyzed; it is possible but unlikely that [[quadratic growth]] exists with 11 cells. | ||
Revision as of 01:21, 1 November 2023
The population of a pattern is the number of ON (live) cells. For example, the population of the boat is five, while the minimum population of the pentadecathlon is 12.
All patterns with population 5 or less in Life are described in the polyplet article; there are no objects that can be formed with 5 cells but only in two or more unconnected groups.
All patterns with population 9 or less in Life have been analyzed, as have all with 10 in a single cluster. 10 is the minimum number of cells for infinite growth. It would be tricky to analyze all with 10 completely, as two R-pentominoes can interact with each other and their emitted gliders.
11-bit patterns have not been exhaustively analyzed; it is possible but unlikely that quadratic growth exists with 11 cells.
See also
- Patterns with specific population (category)
- Bounding box
- MCPS
External links
- Population at the Life Lexicon