Snake: Difference between revisions

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m archivedate, formatting
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|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B35678/S012345678
|rulemax          = B35678/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulespecial      = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|isorulemin      = B/S2ae3n
|isorulemin      = B/S2ae3n
|isorulemax      = B2-ac34-r5678/S012345678
|isorulemax      = B2-ac34-r5678/S012345678
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|apgcode          = xs6_bd
|apgcode          = xs6_bd
|pentadecathlonid = 6.1
|pentadecathlonid = 6.1
|viewerconfig    = #C [[ ZOOM 42 ]]
}}
}}
'''Snake''' is a {{slcells|6|text=6-bit}} [[still life]]. It was discovered by the [[JHC group]] in {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref>
'''Snake''' is a {{slcells|6|text=6-bit}} [[still life]]. It was discovered by the [[JHC group]] in {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=June 18, 2009}}</ref>
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|position    = center
|position    = center
|caption      = Conduit 1, showing the snake as a rock catalyst
|caption      = Conduit 1, showing the snake as a rock catalyst
|style        = width:360px;
|style        = width:300px;
}}
}}


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A snake is the cheapest way in both population and bounding box to stabilize a line of three cells, such as in [[cauldron]], and the cheapest in bounding box but not population for a line of five, such as in the [[rectifier]]. Snakes are also the most efficient way to stabilize certain non-flat regions such as those in [[55P10]] and [[28P7.2]], although [[aircraft carrier]]s also work for this purpose.
A snake is the cheapest way in both population and bounding box to stabilize a line of three cells, such as in [[cauldron]], and the cheapest in bounding box but not population for a line of five, such as in the [[rectifier]]. Snakes are also the most efficient way to stabilize certain non-flat regions such as those in [[55P10]] and [[28P7.2]], although [[aircraft carrier]]s also work for this purpose.


== Commonness ==
== Occurrence ==
{{main|List of common still lifes}}
{{related|List of common still lifes}}
Snake is the twenty-first most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[boat-tie]] but slightly more common than [[big S]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the twenty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]]. It is the rarest of the five 6-bit still lifes.<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
Snake is the twenty-first most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[boat-tie]] but slightly more common than [[big S]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the twenty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]]. It is the rarest of the five 6-bit still lifes.<ref>{{citeCatagolueStats|June 24, 2016}}</ref>


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* {{LinkCatagolue|xs6_bd}}
* {{LinkCatagolue|xs6_bd}}
* {{LinkNiemiec|p1.htm#p1-6|The 5 six-bit still-lifes|rle=0/6sn.rle}}
* {{LinkNiemiec|p1.htm#p1-6|The 5 six-bit still-lifes|rle=0/6sn.rle}}
* {{LinkPentadecathlonObject|id=6.1|patternname=Snake}}
* {{LinkPentadecathlonObject|id=6.1|archivedate=20221102095932|patternname=Snake}}


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

Revision as of 16:06, 22 March 2023

Snake
x = 4, y = 2, rule = B3/S23 ob2o$2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 42 ]]
View static image
Pattern type Strict still life
Number of cells 6
Bounding box 4 × 2
Frequency class 13.9
Static symmetry Unspecified
Discovered by JHC group
Year of discovery 1970

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

Use as a rock

The snake can act as a rock. An example is shown below in Conduit 1.

x = 24, y = 13, rule = B3/S23 b2o$2bo$bo$b2o6$o3b2o15bo$2o2b2o15bo$b2o18b3o$2o21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 20 THUMBSIZE 2 THEME Book AUTOSTART T 0 PAUSE 2 T 59 PAUSE 1 LOOP 60 ]]
Conduit 1, showing the snake as a rock catalyst
(click above to open LifeViewer)
RLE: here Plaintext: here

Use as an induction coil

A snake is the cheapest way in both population and bounding box to stabilize a line of three cells, such as in cauldron, and the cheapest in bounding box but not population for a line of five, such as in the rectifier. Snakes are also the most efficient way to stabilize certain non-flat regions such as those in 55P10 and 28P7.2, although aircraft carriers also work for this purpose.

Occurrence

See also: List of common still lifes

Snake is the twenty-first most common still life in Achim Flammenkamp's census, being less common than boat-tie but slightly more common than big S.[2] It is also the twenty-eighth most common object on Adam P. Goucher's Catagolue. It is the rarest of the five 6-bit still lifes.[3]

The snake is about twice as common in C2_4 (the symmetry it has) compared to asymmetric soups.

Construction

There are known ways to construct a snake with four gliders. A number of different syntheses for the snake can be found in Mark Niemiec's glider synthesis database.[4]

On February 20, 2022, a method was found to construct pseudo still lifes consisting of an arbitrarily large stack of snakes.[5] These objects were previously notoriously difficult to synthesize – a stack of three snakes[6] formerly cost 67 gliders to construct, making it by far the most expensive pseudo still life with 18 cells.[7]

x = 98, y = 50, rule = B3/S23 bo$2bo$3o13$95bo$95bobo$95b2o27$63bo$64b2o$63b2o$68bo$67b2o$67bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 ZOOM 10 X 6 Y 27 THEME Book GPS 32 AUTOSTART T 0 PAUSE 2 T 164 PAUSE 1 T 208 PAUSE 1 LOOP 209 ]]
A two-stage four-glider synthesis for the snake[8]
(click above to open LifeViewer)
x = 34, y = 37, rule = B3/S23 15bo$16bo$14b3o18$32b2o$32bo$25b2o3bobo$24bo2bo2b2o$25bobo$26bo$8b2o$ 7bobo$7b2o3$2o$b2o$o$8bo$7bobo$7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 420 ZOOM 8 THEME Book GPS 32 AUTOSTART T 0 PAUSE 2 T 108 PAUSE 1 LOOP 109 ]]
Two one-glider seed constellations for the snake from the octohash database
(click above to open LifeViewer)

Extensibility

Snake can be infinitely extended, as illustrated below:

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
  2. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
  4. ↑ The 5 six-bit still-lifes at Mark D. Niemiec's Life Page
  5. ↑ iNoMed (February 20, 2022). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  6. ↑ A stack of three snakes on Catagolue: xs18_bd0db0bd
  7. ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on February 15, 2022.
  8. ↑ GUYTU6J (February 21, 2022). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
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