Thirteen loop: Difference between revisions
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{{Stilllife | {{Stilllife | ||
|name = Thirteen loop | |name = Thirteen loop | ||
|pname = | |pname = thirteenloop | ||
|c = 13 | |c = 13 | ||
|bx = 6 | |bx = 6 | ||
|by = 6 | |by = 6 | ||
|fc = 25.1 | |fc = 25.1 | ||
|symmetry = n | |||
|rulemin = B/S23 | |rulemin = B/S23 | ||
|rulemax = B3678/S012345678 | |rulemax = B3678/S012345678 | ||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | ||
|isorulemin = B/S2-i3nr | |||
|isorulemax = B2in34-aijk5-qr678/S012345678 | |||
|synthesis = 4 | |||
|plaintext = true | |||
|rle = true | |rle = true | ||
|apgcode = xs13_2eg6p3zx1 | |apgcode = xs13_2eg6p3zx1 | ||
|niemiecid = 13.173 | |||
|pentadecathlonid = 13.62 | |pentadecathlonid = 13.62 | ||
}} | }} | ||
'''Thirteen loop''' is a 13-bit [[still life]]. | '''Thirteen loop''' is a {{slcells|13|text=13-bit}} [[still life]]. | ||
== | == Glider synthesis == | ||
Thirteen loop can be [[Glider synthesis|constructed]] with {{gliders|4|text=4 gliders}}.<ref name="catagolue_object" /> | |||
==External links== | {| style="margin:auto;width:300px" | ||
{{LinkCatagolue|xs13_2eg6p3zx1}} | |{{EmbedViewer | ||
{{LinkPentadecathlonObject|13.62}} | |rle = x = 35, y = 28, rule = B3/S23 | ||
23bo$23bobo$23b2o2$16bo$obo12bo$b2o12b3o$bo7$32bo$31bobo$30bo2bo$30bob | |||
o$29b2obobo$33b2o6$3b2o$2bobo$4bo! | |||
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 66 PAUSE 2 LOOP 67 ]] | |||
|position = center | |||
|caption = A 4G synthesis<ref>[https://web.archive.org/web/20210717094915/https://catagolue.hatsya.com/object/xs13_2eg6p3zx1/b3s23/ xs13_2eg6p3zx1] (archived copy)</ref><ref name="post12276" /><!-- second table row 7 col 6 --> | |||
}} | |||
|- | |||
|{{EmbedViewer | |||
|rle = x = 36, y = 33, rule = B3/S23 | |||
23bo$22bo$22b3o5$5bo$6bo$4b3o5$2bo$obo30bo$b2o29bobo$31bo2bo$31bobo$ | |||
30b2obobo$34b2o3$27bo$7b2o17b2o$6bobo17bobo$8bo13bo$21b2o$21bobo2$13b | |||
2o$13bobo$13bo! | |||
|viewerconfig = #C [[ HEIGHT 470 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 36 PAUSE 1 T 48 PAUSE 2 LOOP 49 ]] | |||
|position = center | |||
|caption = A 7G synthesis<ref name="niemiec" /> | |||
}} | |||
|} | |||
== Occurrence == | |||
{{related|List of common still lifes}} | |||
Thirteen loop is the 26th most common 13-cell still life out of 240. | |||
There are 9 collisions with thirteen loop in the ash catalogued in the [[octo3obj database]].{{refn|One collision (headerless RLE: {{headerlessRLE|2ob2o$2ob2o2b3o4$2b2ob2o2b2o$2b2ob2ob2o$10bo!}}) has final population alternating between 455 and 457, with 9 escaping gliders. Eight other collisions all converge to a sequence with final population 338 and 8 escaping gliders; one of the eight collisions (the one with lowest initial population) is {{headerlessRLE|8b2o$3o5b2o2$8b2o$8b2o2$6bo$5bobo$5bobo$6bo$8b3o$8bo$9bo!}}}} | |||
== See also == | |||
* [[Loop#Loop family]] | |||
* [[xs15_3lkia4z32]] | |||
== References == | |||
<references> | |||
<ref name="catagolue_object">{{LinkCatagolue|xs13_2eg6p3zx1|style=nobullet}}</ref> | |||
<ref name="niemiec">{{LinkNiemiec|p1-13.htm|Life Thirteen-Bit Still-Lifes|rle=13/13-173.rle|nobullet=nobullet}}</ref> | |||
<ref name="post12276">{{LinkForumThread | |||
|format = ref | |||
|p = 12276 | |||
|title = 4 glider syntheses | |||
|author = BobShemyakin | |||
|date = June 15, 2014 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkCatagolue|xs13_2eg6p3zx1}} | |||
* {{LinkPentadecathlonObject|13.62|archivedate=20221103192736}} | |||
* {{LinkNiemiec|p1-13.htm|Life Thirteen-Bit Still-Lifes|rle=13/13-173.rle}} | |||
__NOTOC__ | |||
Latest revision as of 13:40, 9 August 2024
| Thirteen loop | |||||||||
| View static image | |||||||||
| Pattern type | Strict still life | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 13 | ||||||||
| Bounding box | 6 × 6 | ||||||||
| Frequency class | 25.1 | ||||||||
| Static symmetry | n (C1) | ||||||||
| Discovered by | Unknown | ||||||||
| Year of discovery | Unknown | ||||||||
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Thirteen loop is a 13-bit still life.
Glider synthesis
Thirteen loop can be constructed with 4 gliders.[1]
| ||
|
Occurrence
- See also: List of common still lifes
Thirteen loop is the 26th most common 13-cell still life out of 240.
There are 9 collisions with thirteen loop in the ash catalogued in the octo3obj database.[5]
See also
References
- ↑ xs13_2eg6p3zx1 at Adam P. Goucher's Catagolue
- ↑ xs13_2eg6p3zx1 (archived copy)
- ↑ BobShemyakin (June 15, 2014). 4 glider syntheses (discussion thread) at the ConwayLife.com forums
- ↑ Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-173.rle)
- ↑ One collision (headerless RLE: 2ob2o$2ob2o2b3o4$2b2ob2o2b2o$2b2ob2ob2o$10bo!) has final population alternating between 455 and 457, with 9 escaping gliders. Eight other collisions all converge to a sequence with final population 338 and 8 escaping gliders; one of the eight collisions (the one with lowest initial population) is 8b2o$3o5b2o2$8b2o$8b2o2$6bo$5bobo$5bobo$6bo$8b3o$8bo$9bo!
External links
- Thirteen loop at Adam P. Goucher's Catagolue
- 13.62 at Heinrich Koenig's Game of Life Object Catalogs
- Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-173.rle)