Difference between revisions of "Big S"

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|niemiecid        = 14.36
|niemiecid        = 14.36
|pentadecathlonid = 14.492
|pentadecathlonid = 14.492
|viewerconfig    = [[ ZOOM 42 ]]
}}
}}
{{Disambiglink|name=S|link=S|text=For other uses of}}
{{Disambiglink|name=S|link=S|text=For other uses of}}
'''Big S'''  (or '''large S'''<ref>{{CiteLexicon|file=lex_l.htm#larges|name=Large S|accessdate=May 2, 2009}}</ref> or '''S-spiral'''<ref>{{CiteLexicon|file=lex_s.htm#larges|name=S-spiral|accessdate=May 22, 2009}}</ref> or simply '''S'''<ref>{{CiteLexicon|file=lex_s.htm#s|name=S|accessdate=May 2, 2009}}</ref>) is a simple [[:Category:Strict still lifes with 14 cells|14]]-[[cell]] [[still life]] discovered by the [[MIT group]] in [[:Category:patterns found in 1971|1971]].<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref> It is produced by colliding a [[pi-heptomino]] with a [[boat]].
'''Big S'''  (or '''large S'''<ref>{{CiteLexicon|file=lex_l.htm#larges|name=Large S|accessdate=May 2, 2009}}</ref> or '''S-spiral'''<ref>{{CiteLexicon|file=lex_s.htm#larges|name=S-spiral|accessdate=May 22, 2009}}</ref> or simply '''S'''<ref>{{CiteLexicon|file=lex_s.htm#s|name=S|accessdate=May 2, 2009}}</ref>) is a {{slcells|14}}-[[cell]] [[still life]] discovered by the [[MIT group]] in {{year|1971}}.<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref>


==[[List of common still lifes|Commonness]]==
== Occurrence ==
Big S is the twenty-second most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[snake]] but more common than [[bi-pond]].<ref>{{citeAchim|accessdate=March 30, 2010}}</ref> It is also the twenty-nineth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
{{related|List of common still lifes|List of still lifes with 14 cells}}
Big S is the twenty-second most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[snake]] but more common than [[bi-pond]].<ref>{{citeAchim|accessdate=March 30, 2010}}</ref>


==See also==
It is the 22nd [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[snake]] but more common than [[bi-pond]]. It is the 3rd most common still life with 14 cells, being less common than [[paperclip]] but more than 8 times as common as [[cis-mirrored bun]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref>
*[[Paperclip]]


==References==
Because it usually forms from specific predecessors, the difference in frequency in asymmetric soups compared to C2_2 (the symmetry the object has) is almost negligible. Similarly, in rules that support the object but not its predecessors, such as [[HighLife]], it is [[OCA:HighLife/List of common still lifes|much less common]].
 
Almost all Big Ses are formed through the sequence that contains generation 16 of the following [[pi]]+[[boat]] collision, with the glider optional. It was reported by MIT group on [[Lifeline Volume 4]].<ref>{{CiteLifeline|vol=4|pages=page 5}}</ref> A slightly different predecessor appears in a reaction between a [[fleet]] predecessor and a [[blinker]].
 
{{EmbedViewer
|pname = bigspredecessor
|position    = center
|viewerconfig = #C [[ GPS 6 THUMBSIZE 2 ]]
|caption      = A pi-heptomino crashing into a boat makes a big S and a glider.
|style = width:320px;
}}
{{EmbedViewer
|rle = x = 8, y = 6, rule = B3/S23
o$o$o3b3o$4bo2bo$4bo2bo$5b3o!
|position = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption = A fleet predecessor crashing into a blinker makes a big S and a [[ship-tie]].
|style = width:320px;
}}
 
== Glider synthesis ==
There is a [[3-glider collision]] that produces {{LinkCatagolue|xs18_g88b96z123zzy933|style=raw|patternname=a constellation of a big S and a block}}, leading to a two-stage {{gliders|4}} [[synthesis]] for the still life. Other 4-glider collisions that make a clean big S are also known.
 
== See also ==
* [[Paperclip]]
* [[Big A]]
 
== References ==
<references />
<references />


==External links==
== External links ==
{{LinkWeisstein|filename=BigS.html}}
* {{LinkLexicon|filename=lex_b.htm#bigs}}
{{LinkLexicon|filename=lex_b.htm#bigs}}
* {{LinkCatagolue|xs14_g88b96z123}}
{{LinkCatagolue|xs14_g88b96z123}}
* {{LinkNiemiec|p1-14.htm|patternname=The 619 fourteen-bit still-lifes|rle=14/14-36.rle}}
{{LinkNiemiec|p1-14.htm|patternname=The 619 fourteen-bit still-lifes}}


{{Symmetry|180degree}}
{{Symmetry|180degree}}
__NOTOC__
__NOTOC__

Latest revision as of 23:47, 20 February 2024

Big S
x = 7, y = 6, rule = B3/S23 4b2o$3bo2bo$3bob2o$2obo$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
View static image
Pattern type Strict still life
Number of cells 14
Bounding box 7 × 6
Frequency class 13.9
Discovered by MIT group
Year of discovery 1971
For other uses of 'S', see S (disambiguation).

Big S (or large S[1] or S-spiral[2] or simply S[3]) is a 14-cell still life discovered by the MIT group in 1971.[4]

Occurrence

See also: List of common still lifes, List of still lifes with 14 cells

Big S is the twenty-second most common still life in Achim Flammenkamp's census, being less common than snake but more common than bi-pond.[5]

It is the 22nd most common still life on Adam P. Goucher's Catagolue, being less common than snake but more common than bi-pond. It is the 3rd most common still life with 14 cells, being less common than paperclip but more than 8 times as common as cis-mirrored bun.[6]

Because it usually forms from specific predecessors, the difference in frequency in asymmetric soups compared to C2_2 (the symmetry the object has) is almost negligible. Similarly, in rules that support the object but not its predecessors, such as HighLife, it is much less common.

Almost all Big Ses are formed through the sequence that contains generation 16 of the following pi+boat collision, with the glider optional. It was reported by MIT group on Lifeline Volume 4.[7] A slightly different predecessor appears in a reaction between a fleet predecessor and a blinker.

x = 5, y = 8, rule = B3/S23 2o$obo$bo3$2b3o$2bobo$2bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 6 THUMBSIZE 2 ]]
A pi-heptomino crashing into a boat makes a big S and a glider.
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 8, y = 6, rule = B3/S23 o$o$o3b3o$4bo2bo$4bo2bo$5b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
A fleet predecessor crashing into a blinker makes a big S and a ship-tie.
(click above to open LifeViewer)

Glider synthesis

There is a 3-glider collision that produces a constellation of a big S and a block, leading to a two-stage 4-glider synthesis for the still life. Other 4-glider collisions that make a clean big S are also known.

See also

References

  1. ↑ "Large S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
  2. ↑ "S-spiral". The Life Lexicon. Stephen Silver. Retrieved on May 22, 2009.
  3. ↑ "S". The Life Lexicon. Stephen Silver. Retrieved on May 2, 2009.
  4. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
  5. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
  6. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.
  7. ↑ Robert Wainwright (December 1971). Lifeline, vol 4, page 5.

External links


Retrieved from "https://conwaylife.com/w/index.php?title=Big_S&oldid=145896"