Population: Difference between revisions

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m Made it less Life-centric
Confocal (talk | contribs)
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the paragraph for 11-bit patterns was not adjusted accordingly, and the adjustment is not necessary either, since 'by default' all statements on LifeWiki are supposed to be about plain B3/S23 unless stated otherwise
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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 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-pentomino]]es can interact with each other and their emitted gliders.
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.


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 01:38, 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 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

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