Krake

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Krake
x = 7, y = 5, rule = B3/S23 2o3b2o$obobobo$2bobo$2bobo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 48 ]]
Pattern type Strict still life
Number of cells 13
Bounding box 7 × 5
Frequency class 23.4
Discovered by Unknown
Year of discovery Unknown

Krake[note 1] is a 13-cell still life.

The krake is sometimes used when two eater 1s need to be placed close together.

Construction

Krake is known to be constructible with 4 gliders.[1]

x = 35, y = 17, rule = B3/S23 31bo$30bobo$20bo9bobo$bo12bo5bobo5bobobobo$2bo10bo6b2o6b2o3b2o$3o10b3o9$7b2o$6bobo$8bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 12 PAUSE 3 T 44 PAUSE 2 LOOP 45 ]]
A 4G synthesis[1][2]
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x = 37, y = 59, rule = B3/S23 23bo$21b2o$22b2o5bo$29bobo$29b2o7$33bo$32bobo$32bobo$30bobobobo$30b2o 3b2o6$20bo$19b2o$19bobo4b2o$3o23bobo$2bo23bo$bo4$5bo$3bobo$4b2o$18bobo $18b2o$19bo$33bo$32bobo$11bo20bobo$9bobo18bobobobo$10b2o18b2o3b2o9$18b 2o$17b2o$19bo5$3b3o$5bo$4bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 650 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 12 PAUSE 3 T 20 PAUSE 1 T 43 PAUSE 2 LOOP 44 ]]
Two 5G syntheses[1]
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Occurrence

See also: List of common still lifes, List of still lifes with 13 cells

Krake is the 143rd most common still life on Adam P. Goucher's Catagolue, being less common than cis-barge with tail but more common than ship tie snake. Among all still lifes with 13 cells, it is the 11th most common, being less common than house siamese shillelagh but more common than bookend siamese shillelagh.[3] There are two collisions in the octo3obj database with krake in the ash.[note 2]

Notes

  1. The origin of the name is not known. However, krake means octopus in German and the name seems to have first appeared in Achim Flammenkamp's census no later than 2004.
  2. Headerless RLEs of the collisions are b2o5b3o2bo$o2bo8b2o$b2o9bobo5$3bo$3bo$3bo! (11 escaping gliders, final population 472) and 5b2ob2o$5b2ob2o4$6b2ob2o$b2o3b2ob2o$o2bo$b2o$4b3o$4bo$5bo! (3 escaping gliders, final population 112).

See also

References

  1. 1.0 1.1 1.2 The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-171.rle)
  2. BobShemyakin (June 15, 2014). 4 glider syntheses (discussion thread) at the ConwayLife.com forums
  3. Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 28, 2023.

External links