Difference between revisions of "Ship"

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{{Stilllife|c=6|bx=3|by=3|name=Ship|pname=ship|life105=true|life106=true|plaintext=true|rle=true|synthesis=3|synthesisRLE=true|rulespecial=[[Conway's Game of Life|Conway Life]], [[Maze]]|rulemin=B/S23|rulemax=B34578/S012345678}}
{{Stilllife
'''Ship''' is the seventh most common still life, being less common than [[pond]] and more common than [[long boat]].<ref>{{cite web|url=http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html |title=Most seen natural occurring ash objects in Game of Life |author=Achim Flammenkamp |date=September 7, 2004 |accessdate=April 14, 2009}}</ref> It is the smallest pattern that is a still life under the [[Conway's Game of Life|standard Life rules]] but not in [[HighLife]].
|name            = Ship
|pname            = ship
|c               = 6
|bx               = 3
|by               = 3
|fc              = 3.3
|discoverer      = JHC group
|discoveryear    = 1970
|rulemin          = B/S23
|rulemax          = B34578/S012345678
|rulespecial     = [[Conway's Game of Life|Conway Life]], {{rl|Maze}}
|isorulemin      = B/S2e3n
|isorulemax      = B1e2-ae3456-n78/S012345678
|synthesis        = 3
|synthesisRLE    = true
|plaintext        = true
|rle              = true
|apgcode          = xs6_356
|pentadecathlonid = 6.2
|viewerconfig    = [[ ZOOM 60 ]]
}}
{{For|the class of moving patterns sometimes called ships|spaceship}}


==See also==
'''Ship''' is a {{slcells|6|text=6-cell}} [[still life]]. It was discovered by the [[JHC group]] in {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref>
*[[Boat]]
*[[Fleet]]
*[[List of common still lifes]]
*[[Ship-tie]]


==References==
Adding one cell to the corner of the ship will turn it into a [[fleet]]. Removing one of the corner cells results in a [[boat]], while removing both results in a [[tub]]. Like the tub and the boat, it is infinitely extensible (see [[long ship]]).
<references />


==External links==
== Commonness ==
{{LinkWeisstein|Ship.html}}
{{main|List of common still lifes}}
{{LinkLexicon|lex_s.htm#ship}}
{{CatagolueSLRarity
*[http://home.interserv.com/~mniemiec/still.htm#6-bit%20still Six-bit still lifes] by Mark Niemiec
|population=6
|absrank=fifth
|abslesscommonthan=boat
|absmorecommonthan=tub
|poprank=second
|poplesscommonthan=beehive
|popmorecommonthan=barge
}}It is also the seventh most common object on Catagolue, and the most common object for which there is no 2-glider synthesis.
 
The ship was also the seventh most common still life in [[Achim Flammenkamp's census]], being less common than [[pond]] and more common than [[long boat]].<ref>{{citeAchim|accessdate=April 14, 2009}}</ref>
 
The ship is about 4.5 times as common in Catagolue than in Achim Flammenkamp's census; it is more common than the tub and the pond in the former but not the latter. The reason for this huge discrepancy is because Catagolue's soups are {{times|16|16}} with empty space surrounding it, and a [[Herschel]] leaving into the surrounding empty space produces a ship. In comparison, Achim Flammenkamp's census is on a large [[torus]], with no surrounding empty space for a Herschel to have a significant chance of completing its sequence without crashing into something first.
 
=== Occurrence ===
As mentioned previously, the ship is a notable component of Herschel (and, by extension, [[B-heptomino]] and [[R-pentomino]]) ash, along with two escaping gliders and some blocks.
 
In diagonal symmetries, there is a different way for ships to form, shown below. Orthogonal gutter symmetries can also form ship on ship pseudo-still lifes, such as the evolution of the [[very long house]]. In both cases, asymmetric soups can become symmetric and form ships in the symmetric ways described earlier in this paragraph.
{{EmbedViewer
|rle          = 2b3o$2b3o$2o$2o$2o!
|position    = center
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]]
|caption      = Diagonally symmetric ship formation.
}}
 
== As a catalyst ==
 
Ship can act as an [[eater]], eating one half of a [[traffic light]] like in [[p32 blinker hassler 2]].
 
A [[Spartan]] constellation of [[Ship+fishhook|a ship and an eater 1]] works as a versatile [[catalyst]],<ref name="post16663" /> where the ship is converted to a loaf predecessor and the eater 1 restores the ship. A simple example is shown below; see [[BLx19R]], [[36P25]], [[70P26]], [[72P21]] and [[94P53]] for more applications. There are other ship stabilisations mentioned in [[Tutorials/Catalyses#Ship]].
 
{{EmbedViewer
|rle          = 9b2o$o8bo$o6bobo$2o5b2o$3b2o$3bobo$4b2o!
|position    = center
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]]
}}
 
While unusual, a ship by itself can occasionally act as a catalyst for an asymmetric object. One example is in [[112P57]].
 
== Glider synthesis ==
A ship can be [[Glider synthesis|synthesized]] from {{gliders|3|text=3 gliders}} in many ways. In particular, crashing a glider into either a [[pond]] or a [[blinker]], both of which cost two gliders, creates a ship.
 
== In other rules ==
It is the smallest pattern that is a still life under the [[Conway's Game of Life|standard Life rules]] but not in [[HighLife]].
 
[[Non-totalistic]] rules containing B1e but not S3a (disallowing [[block]]) that are designed not to be explosive, of which there are very few, have typically only one stable nonmoving object, and it is a p2 flipper oscillator that is a ship in both phases.
 
==Extensibility==
Ship can be infinitely [[Extensibility|extended]], as illustrated by the following:
 
<gallery widths="192px" style="text-align:center;">
File:longship.png|[[Long ship]]
File:verylongship.png|[[Very long ship]]
File:long3ship.png|[[Long^3 ship]]
</gallery>
 
== See also ==
* [[Tub]]
* [[Boat]]
* [[Ship-tie]]
* [[Ship in a bottle]]
 
== References ==
<references>
<ref name="post16663">{{LinkForumThread
|format    = ref
|p          = 16663
|title      = Re: The Hunting of the New Herschel Conduits
|author    = Dave Greene
|date      = February 7, 2015
}}</ref>
</references>
 
== External links ==
* {{LinkLexicon|lex_s.htm#ship}}
* {{LinkCatagolue|xs6_356}}
* {{LinkCatagolue|xp2_356|patternname=p2 flipper ship|rule=b2es3n}}
* {{LinkNiemiec|p1.htm#p1-6|The 5 six-bit still-lifes|rle=0/6sh.rle}}
* {{LinkPentadecathlonObject|id=6.2|patternname=Ship}}
 
{{Vessel}}
{{Symmetry|diagonal4}}
 
[[Category:Diagonal line stabilisations]]
 
__NOTOC__

Latest revision as of 13:14, 24 December 2023

Ship
x = 3, y = 3, rule = B3/S23 b2o$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 60 ]]
View static image
Pattern type Strict still life
Number of cells 6
Bounding box 3 × 3
Frequency class 3.3
Discovered by JHC group
Year of discovery 1970
For the class of moving patterns sometimes called ships, see spaceship.

Ship is a 6-cell still life. It was discovered by the JHC group in 1970.[1]

Adding one cell to the corner of the ship will turn it into a fleet. Removing one of the corner cells results in a boat, while removing both results in a tub. Like the tub and the boat, it is infinitely extensible (see long ship).

Commonness

Main article: List of common still lifes

Ship is the fifth most common still life on Adam P. Goucher's Catagolue, being less common than boat but more common than tub. Among all still lifes with 6 cells, it is the second most common, being less common than beehive but more common than barge.[2]It is also the seventh most common object on Catagolue, and the most common object for which there is no 2-glider synthesis.

The ship was also the seventh most common still life in Achim Flammenkamp's census, being less common than pond and more common than long boat.[3]

The ship is about 4.5 times as common in Catagolue than in Achim Flammenkamp's census; it is more common than the tub and the pond in the former but not the latter. The reason for this huge discrepancy is because Catagolue's soups are 16 × 16 with empty space surrounding it, and a Herschel leaving into the surrounding empty space produces a ship. In comparison, Achim Flammenkamp's census is on a large torus, with no surrounding empty space for a Herschel to have a significant chance of completing its sequence without crashing into something first.

Occurrence

As mentioned previously, the ship is a notable component of Herschel (and, by extension, B-heptomino and R-pentomino) ash, along with two escaping gliders and some blocks.

In diagonal symmetries, there is a different way for ships to form, shown below. Orthogonal gutter symmetries can also form ship on ship pseudo-still lifes, such as the evolution of the very long house. In both cases, asymmetric soups can become symmetric and form ships in the symmetric ways described earlier in this paragraph.

2b3o$2b3o$2o$2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
Diagonally symmetric ship formation.
(click above to open LifeViewer)

As a catalyst

Ship can act as an eater, eating one half of a traffic light like in p32 blinker hassler 2.

A Spartan constellation of a ship and an eater 1 works as a versatile catalyst,[4] where the ship is converted to a loaf predecessor and the eater 1 restores the ship. A simple example is shown below; see BLx19R, 36P25, 70P26, 72P21 and 94P53 for more applications. There are other ship stabilisations mentioned in Tutorials/Catalyses#Ship.

9b2o$o8bo$o6bobo$2o5b2o$3b2o$3bobo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
(click above to open LifeViewer)

While unusual, a ship by itself can occasionally act as a catalyst for an asymmetric object. One example is in 112P57.

Glider synthesis

A ship can be synthesized from 3 gliders in many ways. In particular, crashing a glider into either a pond or a blinker, both of which cost two gliders, creates a ship.

In other rules

It is the smallest pattern that is a still life under the standard Life rules but not in HighLife.

Non-totalistic rules containing B1e but not S3a (disallowing block) that are designed not to be explosive, of which there are very few, have typically only one stable nonmoving object, and it is a p2 flipper oscillator that is a ship in both phases.

Extensibility

Ship can be infinitely extended, as illustrated by the following:

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  3. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on April 14, 2009.
  4. ↑ Dave Greene (February 7, 2015). Re: The Hunting of the New Herschel Conduits (discussion thread) at the ConwayLife.com forums

External links

Vessels
No corners (barges) (^-2) • (^-1) • ^0 • ^1 • ^2 • ^3
One corner (boats) (^-2) • (^-1) • ^0 • ^1 • ^2 • ^3
Two corners (ships) (^-1) • ^0 • ^1 • ^2 • ^3


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