Snake: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older editNewer edit →
Confocal (talk | contribs)
9,118 edits
Confocal (talk | contribs)
9,118 edits
viewerconfig
Confocal (talk | contribs)
9,118 edits
expand construction, move external link to footnote
Line 27: Line 27:
{{EmbedViewer
{{EmbedViewer
|pname        = conduit1
|pname        = conduit1
|viewerconfig = #C [[ GPS 20 THUMBSIZE 2 AUTOSTART T 0 PAUSE 2 T 59 PAUSE 1 LOOP 60 ]]
|viewerconfig = #C [[ GPS 20 THUMBSIZE 2 THEME Book AUTOSTART T 0 PAUSE 2 T 59 PAUSE 1 LOOP 60 ]]
|position    = center
|position    = center
|caption      = Conduit 1, showing the snake as a rock catalyst
|caption      = Conduit 1, showing the snake as a rock catalyst
Line 42: Line 42:
The snake is about twice as common in C2_4 (the symmetry it has) compared to asymmetric soups.
The snake is about twice as common in C2_4 (the symmetry it has) compared to asymmetric soups.


== Glider synthesis ==
== Construction ==
{{Small constructible periodic object}}
There are known ways to [[Glider synthesis|construct]] a snake with {{gliders|4|text=four gliders}}. A number of different syntheses for the snake can be found in [[Mark Niemiec's database|Mark Niemiec's glider synthesis database]].<ref>{{LinkNiemiec|p1.htm#p1-6|patternname=The 5 six-bit still-lifes|nobullet=nobullet}}</ref>


On February 20, {{year|2022}}, a method was found to construct [[pseudo still life]]s consisting of an arbitrarily large stack of snakes.<ref name="post141897" /> These objects were previously notoriously difficult to synthesize &ndash; {{LinkCatagolue|xs18_bd0db0bd|style=raw}}, consisting of a stack of three snakes, formerly cost 67 gliders to construct, making it by far the most expensive pseudo still life with 18 cells.<ref>{{CiteCatagolue|page=census/b3s23/synthesis-costs-2022-02-15/xs18?offset=19000|title=Census|accessdate=February 15, 2022}}</ref>
On February 20, {{year|2022}}, a method was found to construct [[pseudo still life]]s consisting of an arbitrarily large stack of snakes.<ref name="post141897" /> These objects were previously notoriously difficult to synthesize &ndash; a stack of three snakes<ref>A stack of three snakes on Catagolue: {{LinkCatagolue|xs18_bd0db0bd|style=raw}}</ref> formerly cost 67 gliders to construct, making it by far the most expensive pseudo still life with 18 cells.<ref>{{CiteCatagolue|page=census/b3s23/synthesis-costs-2022-02-15/xs18?offset=19000|title=Census|accessdate=February 15, 2022}}</ref>
 
{|style="margin:auto;width:360px;"
|-
|{{EmbedViewer
|rle          = x = 98, y = 50, rule = B3/S23
bo$2bo$3o13$95bo$95bobo$95b2o27$63bo$64b2o$63b2o$68bo$67b2o$67bobo!
|viewerconfig = #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 ]]
|position    = center
|caption      = A two-stage four-glider synthesis for the snake<ref name="post141932" />
}}
|{{EmbedViewer
|rle          = 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!
|viewerconfig = #C [[ HEIGHT 420 ZOOM 8 THEME Book GPS 32 AUTOSTART T 0 PAUSE 2 T 108 PAUSE 1 LOOP 109 ]]
|position    = center
|caption      = Two [[one-glider seed]] constellations for the snake from the [[12x12-1G-octohash]] [[:Category:Pattern collections and databases|database]]
}}
|}


== Extensibility==
== Extensibility==
Line 74: Line 93:
|author = iNoMed
|author = iNoMed
|date  = February 20, 2022
|date  = February 20, 2022
}}</ref>
<ref name="post141932">{{LinkForumThread
|format = ref
|title  = Re: Thread for basic questions
|p      = 141932
|author = GUYTU6J
|date  = February 21, 2022
}}</ref>
}}</ref>
</references>
</references>

Revision as of 16:37, 15 October 2022

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 ]]
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.

Commonness

Main article: 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 12x12-1G-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
Retrieved from "https://conwaylife.com/w/index.php?title=Snake&oldid=116517"