Krake: Difference between revisions

	Krake
	<span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Krake.png" class="mw-file-description" title="Krake image"><img alt="Krake image" src="/w/images/8/8f/Krake.png" decoding="async" width="146" height="114" class="mw-file-element"></a></span>
	<span class="mw-default-size" typeof="mw:File"><a href="/wiki/File:Krake.png" class="mw-file-description" title="Krake image"><img alt="Krake image" src="/w/images/8/8f/Krake.png" decoding="async" width="146" height="114" class="mw-file-element"></a></span>
	View static image
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
Rules
Outer-totalistic rules	B/S23 – B378/S012345678
# of rules	210 = 1024
Isotropic rules	B/S2-n3n – B2ikn34-in5-qy6-i78/S012345678
Glider synthesis
Fewest gliders	4
Catagolue-generated RLE	synthesis
Pattern files
Plaintext	krake.cells
RLE	krake.rle
Identifiers
apgcode	xs13_31ege13
Niemiec ID	13.171
Pentadecathlon ID	13.44

← Older edit

Latest revision as of 13:37, 9 August 2024

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

↑ 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.
↑ 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).

References

↑ ^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)
↑ BobShemyakin (June 15, 2014). 4 glider syntheses (discussion thread) at the ConwayLife.com forums
↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 28, 2023.

External links

Krake at Adam P. Goucher's Catagolue
13.44 at Heinrich Koenig's Game of Life Object Catalogs
The 240 thirteen-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 13/13-171.rle)

[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.

[5] 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).

[niemiec-2] 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)

[post12276-3] BobShemyakin (June 15, 2014). 4 glider syntheses (discussion thread) at the ConwayLife.com forums

[4] Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 28, 2023.

[note 1]

[1]

[2]

[3]

[note 2]

@@ Line 6: / Line 6: @@
 |by               = 5
 |fc               = 23.4
+|symmetry         = -e
 |rulemin          = B/S23
 |rulemax          = B378/S012345678
@@ Line 15: / Line 16: @@
 |rle              = true
 |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]].
-== Uses ==
 The krake is sometimes used when two [[eater 1]]s need to be placed close together.
-== [[List of common still lifes|Commonness]] ==
+== Construction ==
-It is the 143rd most common still life on [[Adam P. Goucher]]'s [[Catagolue]].
+Krake is known to be [[Glider synthesis|constructible]] with {{gliders|4|text=4 gliders}}.<ref name="niemiec" />
-== [[Glider synthesis]] ==
+{| style="margin:auto;width:300px"
-{{Small constructible periodic object}}
+|{{EmbedViewer
+|rle          = x = 35, y = 17, rule = B3/S23
+bo$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
+bo$21b2o$22b2o5bo$29bobo$29b2o7$33bo$32bobo$32bobo$30bobobobo$30b2o
+b2o6$20bo$19b2o$19bobo4b2o$3o23bobo$2bo23bo$bo4$5bo$3bobo$4b2o$18bobo
+$18b2o$19bo$33bo$32bobo$11bo20bobo$9bobo18bobobobo$10b2o18b2o3b2o9$18b
+o$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 ==
 * [[Test tube baby]], two eater 1s placed farther apart by one cell, making it a period-2 oscillator
-== See also ==
 * [[Hungry hat]]
 * [[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 ==
-{{LinkPentadecathlonObject|13.44}}
+* {{LinkCatagolue|xs13_31ege13}}
-{{LinkCatagolue|xs13_31ege13}}
+* {{LinkPentadecathlonObject|13.44|archivedate=20221102223525}}
-{{LinkNiemiec|p1-13.htm|patternname=The 240 thirteen-bit still-lifes}}
+* {{LinkNiemiec|p1-13.htm|The 240 thirteen-bit still-lifes|rle=13/13-171.rle}}
-{{Symmetry|orthogonal2}}
 __NOTOC__