Long integral: Difference between revisions

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== Commonness ==
== Commonness ==
{{main|List of common still lifes}}
{{main|List of common still lifes}}
Long integral is the seventieth most common still life  in [[Achim Flammenkamp's census]], being less common than [[hook with tail]] but more common than [[eleven loop]].<ref>{{citeAchim|accessdate=November 8, 2009}}</ref> It is also the seventy-seventh most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
Long integral is the seventieth most common still life  in [[Achim Flammenkamp's census]], being less common than [[hook with tail]] but more common than [[eleven loop]].<ref>{{citeAchim|accessdate=November 8, 2009}}</ref>
 
It is the 66th [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[trans-bun and wing]] but more common than [[tub with long tail]]. It is the 10th most common still life with 10 cells, being less common than [[boat with long tail]] but more common than [[claw with tail]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref>


== Glider synthesis ==
== Glider synthesis ==

Revision as of 13:22, 5 May 2023

Long integral
x = 4, y = 6, rule = B3/S23 2o$obo$2bo$bo$bobo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]]
Pattern type Strict still life
Number of cells 10
Bounding box 4 × 6
Frequency class 20.5
Static symmetry Unspecified
Discovered by Unknown
Year of discovery 1972

Long integral (or S-ten) is a 10-cell still life; it is the long version of the integral sign. Unlike it, it cannot act as a glider eater.

Commonness

Main article: List of common still lifes

Long integral is the seventieth most common still life in Achim Flammenkamp's census, being less common than hook with tail but more common than eleven loop.[1]

It is the 66th most common still life on Adam P. Goucher's Catagolue, being less common than trans-bun and wing but more common than tub with long tail. It is the 10th most common still life with 10 cells, being less common than boat with long tail but more common than claw with tail.[2]

Glider synthesis

All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

See also

References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on November 8, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.