Thirteen loop: Difference between revisions

From LifeWiki
Jump to navigation Jump to search
← Older editNewer edit →
Confocal (talk | contribs)
9,118 edits
adding frequency info
Confocal (talk | contribs)
9,118 edits
expand
Line 15: Line 15:
|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]].


== [[List of common still lifes|Commonness]] ==
== Glider synthesis ==
Thirteen loop can be [[Glider synthesis|constructed]] with {{gliders|4|text=4 gliders}}.<ref name="catagolue_object" />
 
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|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 X 0 Y 0 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>
}}
|-
|{{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 X 0 Y 0 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.
Thirteen loop is the 26th most common 13-cell still life out of 240.


== [[Glider synthesis]] ==
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!}}}}
{{Small constructible periodic object}}


== See also ==
== See also ==
* [[Loop#Loop family|Loop family]]
* [[Loop#Loop family]]
 
== 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>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xs13_2eg6p3zx1}}
* {{LinkCatagolue|xs13_2eg6p3zx1}}
{{LinkPentadecathlonObject|13.62}}
* {{LinkPentadecathlonObject|13.62|archivedate=20221103192736}}
* {{LinkNiemiec|p1-13.htm|Life Thirteen-Bit Still-Lifes|rle=13/13-173.rle}}


__NOTOC__
__NOTOC__

Revision as of 06:12, 11 November 2022

Thirteen loop
x = 6, y = 6, rule = B3/S23 4b2o$2obobo$bobo$bo2bo$2bobo$3bo! #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 13
Bounding box 6 × 6
Frequency class 25.1
Static symmetry Unspecified
Discovered by Unknown
Year of discovery Unknown

Thirteen loop is a 13-bit still life.

Glider synthesis

Thirteen loop can be constructed with 4 gliders.[1]

x = 35, y = 28, rule = B3/S23 23bo$23bobo$23b2o2$16bo$obo12bo$b2o12b3o$bo7$32bo$31bobo$30bo2bo$30bob o$29b2obobo$33b2o6$3b2o$2bobo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 66 PAUSE 2 LOOP 67 ]]
A 4G synthesis[2]
(click above to open LifeViewer)
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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 470 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 36 PAUSE 1 T 48 PAUSE 2 LOOP 49 ]]
A 7G synthesis[3]
(click above to open LifeViewer)

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.[4]

See also

References

  1. ↑ xs13_2eg6p3zx1 at Adam P. Goucher's Catagolue
  2. ↑ xs13_2eg6p3zx1 (archived copy)
  3. ↑ Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-173.rle)
  4. ↑ 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!


Retrieved from "https://conwaylife.com/w/index.php?title=Thirteen_loop&oldid=117974"