Snake: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
Confocal (talk | contribs)
m formatting
Confocal (talk | contribs)
viewerconfig
Line 26: Line 26:


{{EmbedViewer
{{EmbedViewer
|pname         = conduit1
|pname       = conduit1
|viewerconfig = #C [[ GPS 20 THUMBSIZE 2 AUTOSTART T 0 PAUSE 2 T 59 PAUSE 1 LOOP 60 ]]
|position    = center
|position    = center
|viewerconfig = #C [[ GPS 20 THUMBSIZE 2 ]]
|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:360px;

Revision as of 14:52, 11 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 ]]
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 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.

Glider synthesis

All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

On February 20, 2022, a method was found to construct pseudo still lifes consisting of an arbitrarily large stack of snakes.[4] These objects were previously notoriously difficult to synthesize – xs18_bd0db0bd, 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.[5]

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. ↑ iNoMed (February 20, 2022). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  5. ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on February 15, 2022.