Twelve loop: Difference between revisions
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another one where most come from a somewhat distant predecessor |
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| Line 6: | Line 6: | ||
|by = 5 | |by = 5 | ||
|fc = 23.5 | |fc = 23.5 | ||
|symmetry = n | |||
|discoverer = Robert Wainwright | |||
|discoverer2 = Everett Boyer | |||
|discoveryear = 1973 | |||
|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3678/S012345678 | |rulemax = B3678/S012345678 | ||
| Line 18: | Line 22: | ||
|niemiecid = 12.114 | |niemiecid = 12.114 | ||
|pentadecathlonid = 12.35 | |pentadecathlonid = 12.35 | ||
|viewerconfig = [[ ZOOM 48 ]] | |||
}}{{distinguish|Snorkel loop}} | }}{{distinguish|Snorkel loop}} | ||
'''Twelve loop''' is a {{slcells|12}} | '''Twelve loop''' is a {{slcells|12|text=12-cell}} [[still life]]. | ||
It can be interpreted as a [[hook]] with an attached [[hooked nine]]. | |||
== Glider synthesis == | |||
A {{gliders|4}} [[Glider synthesis|synthesis]] for this still life is shown below. Several alternate syntheses can be found in [[Mark Niemiec's database]].<ref name="niemiec" /> | |||
{{EmbedViewer | |||
|rle = x = 25, y = 20, rule = B3/S23 | |||
24bo$22b2o$23b2o2$2bo$obo$b2o6$15b2o$15bobo$15bo3$8b3o$10bo$9bo! | |||
|viewerconfig = #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 73 PAUSE 2 LOOP 74 ]] | |||
|position = center | |||
|caption = A 4G synthesis | |||
|style = width:300px; | |||
}} | |||
== | == Occurrence == | ||
{{related|List of common still lifes|List of still lifes with 12 cells}} | |||
{{CatagolueSLRarity | |||
|population = 12 | |||
|absrank = 147th | |||
|abslesscommonthan = pond on dock | |||
|absmorecommonthan = bookend siamese shillelagh | |||
|poprank = 18th | |||
|poplesscommonthan = ship tie snake | |||
|popmorecommonthan = double claw | |||
|date = May 28, 2023 | |||
}} | |||
The [[octo3obj database]] contains one collision with this still life in the ash.{{refn|Headerless RLE of the collision: {{headerlessRLE|7b2o$7b2o2$7b2o$7b2o$b2o$b2o$9bo$8bobo$2o6bobo$2o7bo2$bo$2o$obo! | |||
}}}} | |||
== [[ | {{EmbedViewer | ||
|rle = 3bo$2b3o$bo2b2o$3o2bo$b2o2b2o$5bo$5bo! | |||
|position = center | |||
|viewerconfig = #C [[ GPS 20 ZOOM 10 THUMBSIZE 2 ]] | |||
|caption = Most, but not all, twelve loops form via this predecessor. | |||
}} | |||
== See also == | == See also == | ||
* [[ | * [[Loop#Loop family]] | ||
== References == | |||
<references> | |||
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-114.rle|nobullet=nobullet}}</ref> | |||
</references> | |||
== External links == | == External links == | ||
{{LinkCatagolue|xs12_31egma}} | * {{LinkCatagolue|xs12_31egma}} | ||
* {{LinkPentadecathlonObject|12.35}} | |||
{{LinkPentadecathlonObject|12.35}} | |||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 15:31, 3 August 2025
| Twelve loop | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 12 | ||||||||
| Bounding box | 6 × 5 | ||||||||
| Frequency class | 23.5 | ||||||||
| Static symmetry | n (C1) | ||||||||
| Discovered by | Robert Wainwright Everett Boyer | ||||||||
| Year of discovery | 1973 | ||||||||
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- Not to be confused with Snorkel loop.
Twelve loop is a 12-cell still life. It can be interpreted as a hook with an attached hooked nine.
Glider synthesis
A 4-glider synthesis for this still life is shown below. Several alternate syntheses can be found in Mark Niemiec's database.[1]
| A 4G synthesis (click above to open LifeViewer) |
Occurrence
Twelve loop is the 147th most common still life on Adam P. Goucher's Catagolue, being less common than pond on dock but more common than bookend siamese shillelagh. Among all still lifes with 12 cells, it is the 18th most common, being less common than ship tie snake but more common than double claw.[2] The octo3obj database contains one collision with this still life in the ash.[3]
| Most, but not all, twelve loops form via this predecessor. (click above to open LifeViewer) |
See also
References
- ↑ The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-114.rle)
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 28, 2023.
- ↑ Headerless RLE of the collision: 7b2o$7b2o2$7b2o$7b2o$b2o$b2o$9bo$8bobo$2o6bobo$2o7bo2$bo$2o$obo!
External links
- Twelve loop at Adam P. Goucher's Catagolue
- 12.35 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 23
- Natural periodic objects
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by Robert Wainwright
- Patterns found by Everett Boyer
- Patterns found in 1973
- Patterns that can be constructed with 4 gliders
- Still lifes
- Strict still lifes
- Strict still lifes with 12 cells
- Strict still lifes with n symmetry