Difference between revisions of "Aircraft carrier"

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|by              = 3
|by              = 3
|fc              = 12.0
|fc              = 12.0
|discoverer      = John Conway<!--see below-->
|discoveryear    = 1970<!--upper bound: Conway was done with this by 1970, see https://conwaylife.com/forums/viewtopic.php?f=7&p=139283#p139283-->
|rulemin          = B/S2
|rulemin          = B/S2
|rulemax          = B35678/S012345678
|rulemax          = B35678/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B/S2ae
|isorulemin      = B/S2ae
|isorulemax      = B2-ak34-q5678/S012345678
|isorulemax      = B2-ak34-q5678/S012345678
|synthesis        = 4
|synthesis        = 4
|synthesisRLE    = true
|synthesisRLE    = true
|life105          = true
|life106          = true
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
|apgcode          = xs6_39c
|apgcode          = xs6_39c
|pentadecathlonid = 6.3
|pentadecathlonid = 6.3
|viewerconfig    = [[ ZOOM 60 ]]
}}
}}
'''Aircraft carrier''' (or simply '''carrier''') is a [[still life]] with [[:Category:Strict still lifes with 6 cells|6]] cells, and the smallest still life that has more than one [[island]].
'''Aircraft carrier''' (or simply '''carrier''') is a {{slcells|6|text=6-cell}} [[still life]], and the smallest still life that has more than one [[island]]. It consists of two [[pre-block]]s.


==[[List of common still lifes|Commonness]]==
== Commonness ==
Aircraft carrier is the fifteenth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[long barge]] but more common than [[paperclip]].<ref>{{citeAchim|accessdate=March 30, 2010}}</ref> It is also the twentieth most common object on [[Adam P. Goucher]]'s [[Catagolue]]. It is the fourth most common (second rarest) 6-bit still life, being less common than the [[barge]] but more common than the [[snake]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
{{main|List of common still lifes}}
Aircraft carrier is the fifteenth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[long barge]] but more common than [[paperclip]].<ref>{{citeAchim|accessdate=March 30, 2010}}</ref>


==See also==
{{CatagolueSLRarity
*[[Carrier siamese carrier]]
|population=6
*[[Broken snake]]
|absrank=fifteenth
|abslesscommonthan=long barge
|absmorecommonthan=paperclip
|poprank=fourth
|poplesscommonthan=barge
|popmorecommonthan=snake
}}It is also the twentieth most common object overall on Catagolue.


==References==
== Construction ==
A number of ways of [[Glider synthesis|constructing]] an aircraft carrier can be found in [[Mark Niemiec's database|Mark Niemiec's glider synthesis database]].<ref>{{LinkNiemiec|0/6ac.rle|patternname=6ac.rle|nobullet=nobullet}}</ref>
 
There are three [[3-glider collision]]s that produce an aircraft carrier as well as another object. {{LinkCatagolue|xs10_33y4oi6|style=raw|patternname=The first one}} leaves a stray block, {{LinkCatagolue|xs12_c93zx2552|style=raw|patternname=the second}} a beehive and {{LinkCatagolue|xp2_7z39c|style=raw|patternname=the third}} a blinker, leading to three two-stage {{gliders|4|text=four-glider}} syntheses for the still life. Other 4-glider collisions that make a clean aircraft carrier are also known.
 
{|style="margin:auto;width:360px;"
|{{EmbedViewer
|rle          = x = 15, y = 8, rule = B3/S23
2b2o$3bo$3bobo$4b2o2$b2o10bo$o2bo8b2o$b2o9bobo!
|viewerconfig = #C [[ ZOOM 12 THEME Book AUTOSTART GPS 8 T 0 PAUSE 2 T 39 PAUSE 1 LOOP 40 ]]
|position    = center
|caption      = A [[one-glider seed]] for the aircraft carrier from the [[octohash database]]
}}
|{{EmbedViewer
|rle          = x = 14, y = 6, rule = B3/S23
12bo$11bo$2o9b3o$b2o$2o$o!
|viewerconfig = #C [[ ZOOM 12 THEME Book AUTOSTART GPS 8 T 0 PAUSE 2 T 20 PAUSE 1 LOOP 21 ]]
|position    = center
|caption      = A [[B-heptomino]]+glider collision evolves to a block and an aircraft carrier
}}
|}
 
== Use in larger still lifes ==
Pre-blocks in an aircraft carrier configuration are commonly used for stabilization. Sometimes, but not always, a [[snake]] is equivalent, such as the disconnected portion of [[55P10]] and the yellow aircraft carrier in the image below. Other times, such as the line-of-five part of [[31.4]] or the light pink motif below, an aircraft carrier is the unique smallest thing that works. The common theme is that the green region is typically one with birth on [[Hensel notation|B3j]]; the lower blue cell must have something adjacent to prevent it from turning on, but the upper blue cell must have only one cell, not two, touching it to prevent it from turning on, and the live cell to the right of the lower blue cell must not have any more neighbouring cells to prevent it from dying of overpopulation.
{{EmbedViewer
|rle          = x = 7, y = 9, rule = LifeSuper
3.2E$4.E$2.E$2.2EB$4.B2A$2C3A.A$C$2.C$.2C!
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 THEME Golly ]]
|position    = center
|caption      = A still life as described above. The starting region is the polyplet in the middle, which consists of two different colours, and the other islands are used to stabilise it
|style        = width:360px;
|apgcode = xs18_c9b88gozw39c
}}
 
== See also ==
* [[Carrier siamese carrier]]
* [[Broken snake]]
* [[Snake]]
 
== References ==
<references />
<references />


==External links==
== External links ==
{{LinkWeisstein|filename=AircraftCarrier.html}}
* {{LinkLexicon|filename=lex_a.htm#aircraftcarrier}}
{{LinkLexicon|filename=lex_a.htm#aircraftcarrier}}
* {{LinkCatagolue|xs6_39c|patternname=Carrier}}
{{LinkCatagolue|xs6_39c|patternname=Carrier}}
* {{LinkNiemiec|p1.htm#p1-6|The 5 six-bit still-lifes|rle=0/6ac.rle}}
{{LinkNiemiec|p1.htm#p1-6|patternname=The 5 six-bit still-lifes}}
* {{LinkPentadecathlonObject|id=6.3|patternname=Aircraft Carrier}}


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

Latest revision as of 23:31, 15 September 2023

Aircraft carrier
x = 4, y = 3, rule = B3/S23 2b2o$o2bo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 60 ]]
Pattern type Strict still life
Number of cells 6
Bounding box 4 × 3
Frequency class 12.0
Discovered by John Conway
Year of discovery 1970

Aircraft carrier (or simply carrier) is a 6-cell still life, and the smallest still life that has more than one island. It consists of two pre-blocks.

Commonness

Main article: List of common still lifes

Aircraft carrier is the fifteenth most common still life in Achim Flammenkamp's census, being less common than long barge but more common than paperclip.[1]

Aircraft carrier is the fifteenth most common still life on Adam P. Goucher's Catagolue, being less common than long barge but more common than paperclip. Among all still lifes with 6 cells, it is the fourth most common, being less common than barge but more common than snake.[2]It is also the twentieth most common object overall on Catagolue.

Construction

A number of ways of constructing an aircraft carrier can be found in Mark Niemiec's glider synthesis database.[3]

There are three 3-glider collisions that produce an aircraft carrier as well as another object. The first one leaves a stray block, the second a beehive and the third a blinker, leading to three two-stage four-glider syntheses for the still life. Other 4-glider collisions that make a clean aircraft carrier are also known.

x = 15, y = 8, rule = B3/S23 2b2o$3bo$3bobo$4b2o2$b2o10bo$o2bo8b2o$b2o9bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 THEME Book AUTOSTART GPS 8 T 0 PAUSE 2 T 39 PAUSE 1 LOOP 40 ]]
A one-glider seed for the aircraft carrier from the octohash database
(click above to open LifeViewer)
x = 14, y = 6, rule = B3/S23 12bo$11bo$2o9b3o$b2o$2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 THEME Book AUTOSTART GPS 8 T 0 PAUSE 2 T 20 PAUSE 1 LOOP 21 ]]
A B-heptomino+glider collision evolves to a block and an aircraft carrier
(click above to open LifeViewer)

Use in larger still lifes

Pre-blocks in an aircraft carrier configuration are commonly used for stabilization. Sometimes, but not always, a snake is equivalent, such as the disconnected portion of 55P10 and the yellow aircraft carrier in the image below. Other times, such as the line-of-five part of 31.4 or the light pink motif below, an aircraft carrier is the unique smallest thing that works. The common theme is that the green region is typically one with birth on B3j; the lower blue cell must have something adjacent to prevent it from turning on, but the upper blue cell must have only one cell, not two, touching it to prevent it from turning on, and the live cell to the right of the lower blue cell must not have any more neighbouring cells to prevent it from dying of overpopulation.

x = 7, y = 9, rule = LifeSuper 3.2E$4.E$2.E$2.2EB$4.B2A$2C3A.A$C$2.C$.2C! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 THEME Golly ]]
A still life as described above. The starting region is the polyplet in the middle, which consists of two different colours, and the other islands are used to stabilise it
(click above to open LifeViewer)
Catagoluehere

See also

References

  1. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on March 30, 2010.
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  3. 6ac.rle at Mark D. Niemiec's Life Page

External links