Snake: Difference between revisions
Jump to navigation
Jump to search
Carson Cheng (talk | contribs) mNo edit summary |
m formatting |
||
| Line 20: | Line 20: | ||
|pentadecathlonid = 6.1 | |pentadecathlonid = 6.1 | ||
}} | }} | ||
'''Snake''' is a 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> | ||
== Use as a rock == | |||
The snake can act as a [[rock]]. An example is shown below in [[Conduit 1]]. | |||
{{EmbedViewer | {{EmbedViewer | ||
|pname = conduit1 | |pname = conduit1 | ||
|position = center | |position = center | ||
|viewerconfig = #C [[ GPS 20 THUMBSIZE 2 ]] | |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; | |||
}} | }} | ||
== Use as an induction coil == | == 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 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 == | ||
{{main|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> | ||
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 == | ||
{{Small constructible periodic object}} | {{Small constructible periodic object}} | ||
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 – {{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 – {{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> | ||
== | == Extensibility== | ||
Snake can be infinitely extended, as illustrated | Snake can be infinitely extended, as illustrated below: | ||
<gallery widths="180px" style="text-align:center;"> | |||
File:longsnake.png|[[Long snake]] | |||
| [[ | File:verylongsnake.png|[[Very long snake]] | ||
File:long3snake.png|[[Long^3 snake]] | |||
| [[ | File:long4snake.png|[[Long^4 snake]] | ||
File:long5snake.png|[[Long^5 snake]] | |||
| | File:long6snake.png|[[Long^6 snake]] | ||
</gallery> | |||
| | |||
| | |||
| | |||
== See also == | == See also == | ||
| Line 84: | Line 78: | ||
== External links == | == External links == | ||
{{LinkLexicon|filename=lex_s.htm#snake}} | * {{LinkLexicon|filename=lex_s.htm#snake}} | ||
{{LinkCatagolue|xs6_bd}} | * {{LinkCatagolue|xs6_bd}} | ||
{{LinkNiemiec|p1.htm#p1-6|patternname=The 5 six-bit still-lifes}} | * {{LinkNiemiec|p1.htm#p1-6|patternname=The 5 six-bit still-lifes}} | ||
{{Symmetry|180degree}} | {{Symmetry|180degree}} | ||
Revision as of 03:01, 16 August 2022
| Snake | |||||||||
| 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.
| 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
- Aircraft carrier
- Snake siamese snake
- Snake bridge snake
- Silver's p5, period 5 oscillator
- Rattlesnake, period 11 oscillator
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 18, 2009.
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
- ↑ iNoMed (February 20, 2022). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher. "Census". Catagolue. Retrieved on February 15, 2022.
External links
- Snake at the Life Lexicon
- Snake at Adam P. Goucher's Catagolue
- The 5 six-bit still-lifes at Mark D. Niemiec's Life Page
Categories:
- Patterns
- Patterns with Catagolue frequency class 13
- Natural periodic objects
- Periodic objects with minimum population 6
- Patterns with 6 cells
- Patterns found by JHC group
- Patterns found in 1970
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 6 cells
- Patterns with 180-degree rotation symmetry
- Catalysts
- Diagonal line stabilisations