Thirteen loop

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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 ]]
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

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 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 66 PAUSE 2 LOOP 67 ]]
A 4G synthesis[2][3]
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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 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 36 PAUSE 1 T 48 PAUSE 2 LOOP 49 ]]
A 7G synthesis[4]
(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.[5]

See also

References

  1. ↑ xs13_2eg6p3zx1 at Adam P. Goucher's Catagolue
  2. ↑ xs13_2eg6p3zx1 (archived copy)
  3. ↑ BobShemyakin (June 15, 2014). 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  4. ↑ Life Thirteen-Bit Still-Lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-173.rle)
  5. ↑ 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!