Krake: Difference between revisions

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frequency class 23.4
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|by              = 5
|by              = 5
|fc              = 23.4
|fc              = 23.4
|symmetry        = -e
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B378/S012345678
|rulemax          = B378/S012345678
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|rle              = true
|rle              = true
|apgcode          = xs13_31ege13
|apgcode          = xs13_31ege13
|niemiecid        = 13.171
|pentadecathlonid = 13.44
|viewerconfig    = [[ ZOOM 48 ]]
}}
}}
'''Krake''' is a {{slcells|13}}-[[cell]] [[still life]].
'''Krake'''{{refn|group=note|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.}} is a {{slcells|13|text=13-cell}} [[still life]].


== [[List of common still lifes|Commonness]] ==
The krake is sometimes used when two [[eater 1]]s need to be placed close together.
It is the 143rd most common still life on [[Adam P. Goucher]]'s [[Catagolue]].


== [[Glider synthesis]] ==
== Construction ==
{{Small constructible periodic object}}
Krake is known to be [[Glider synthesis|constructible]] with {{gliders|4|text=4 gliders}}.<ref name="niemiec" />
 
{| style="margin:auto;width:300px"
|{{EmbedViewer
|rle          = x = 35, y = 17, rule = B3/S23
31bo$30bobo$20bo9bobo$bo12bo5bobo5bobobobo$2bo10bo6b2o6b2o3b2o$3o10b3o9$7b2o$6bobo$8bo!
|viewerconfig = #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 12 PAUSE 3 T 44 PAUSE 2 LOOP 45 ]]
|position    = center
|caption      = A 4G synthesis<ref name="niemiec" /><ref name="post12276" /><!-- row 6 col 6 -->
}}
|-
|{{EmbedViewer
|rle          = 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!
|viewerconfig = #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 ]]
|position    = center
|caption      = Two 5G syntheses<ref name="niemiec" />
}}
|}
 
== Occurrence ==
{{related|List of common still lifes|List of still lifes with 13 cells}}
{{CatagolueSLRarity
|population        = 13
|absrank          = 143rd
|abslesscommonthan = cis-barge with tail
|absmorecommonthan = ship tie snake
|poprank          = 11th
|poplesscommonthan = house siamese shillelagh
|popmorecommonthan = bookend siamese shillelagh
|date              = May 28, 2023
}}
There are two collisions in the [[octo3obj database]] with krake in the ash.{{refn|group=note|Headerless RLEs of the collisions are {{headerlessRLE|b2o5b3o2bo$o2bo8b2o$b2o9bobo5$3bo$3bo$3bo!}} (11 escaping gliders, final population 472) and {{headerlessRLE|5b2ob2o$5b2ob2o4$6b2ob2o$b2o3b2ob2o$o2bo$b2o$4b3o$4bo$5bo!}} (3 escaping gliders, final population 112).}}
 
== Notes ==
<references group=note />


== See also ==
== See also ==
* [[Test tube baby]], two eater 1s placed farther apart by one cell, making it a period-2 oscillator
* [[Hungry hat]]
* [[Hungry hat]]
* [[Aries]]
* [[Aries]]
== References ==
<references>
<ref name="niemiec">{{LinkNiemiec|p1-13.htm|The 240 thirteen-bit still-lifes|rle=13/13-171.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 ==
== External links ==
{{LinkCatagolue|xs13_31ege13}}
* {{LinkCatagolue|xs13_31ege13}}
{{LinkNiemiec|p1-13.htm|patternname=The 240 thirteen-bit still-lifes}}
* {{LinkPentadecathlonObject|13.44|archivedate=20221102223525}}
* {{LinkNiemiec|p1-13.htm|The 240 thirteen-bit still-lifes|rle=13/13-171.rle}}
 
__NOTOC__

Latest revision as of 13:37, 9 August 2024

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
Static symmetry -e (D2_+2)
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]
(click above to open LifeViewer)
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]
(click above to open LifeViewer)

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.