Fuse with two long tails: Difference between revisions

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Line 6: Line 6:
|by              = 8
|by              = 8
|fc              = 36.7
|fc              = 36.7
|symmetry        = .k
|discoverer      = Robert Wainwright
|discoverer2      = Everett Boyer
|discoveryear    = 1973
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B35678/S012345678
|rulemax          = B35678/S012345678
Line 11: Line 15:
|isorulemin      = B/S2-in3n
|isorulemin      = B/S2-in3n
|isorulemax      = B2in34-jkr5678/S012345678
|isorulemax      = B2in34-jkr5678/S012345678
|synthesis        = 7
|synthesis        = 6
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
Line 18: Line 22:
|pentadecathlonid = 12.91
|pentadecathlonid = 12.91
}}
}}
The '''fuse with two long tails''' is a {{slcells|12}}-[[cell]] [[still life]].
The '''fuse with two long tails''' is a {{slcells|12|text=12-cell}} [[still life]].


== [[List of common still lifes|Commonness]] ==
== Construction ==
Among still lifes with 12 cells, this is the third rarest according to [[Catagolue]]. Its position among all still lifes of all populations as a whole, however, is currently unknown.[[Category:Natural periodic objects with commonness requiring clarification]]
This still life was [[synthesis]]ed with {{gliders|6|text=6 gliders}} by [[Tanner Jacobi]] on October 9, 2025.<ref name=6g>{{CiteDiscord|channel=bots-and-mute-this|id=1425889541985665175|author=Kazyan|date=October 9, 2025}}, in which 12-in-6 was completed</ref> It was the longest holdout; since August 2024, it had been the only 12-cell still life without a synthesis in at most 6 gliders.


== [[Glider synthesis]] ==
{| style="margin:auto;width:300px"
{{Small constructible periodic object}}
|{{EmbedViewer
|rle          = x = 29, y = 23, rule = B3/S23
13bo$12bo$12b3o$o$b2o$2o6$25b2o$13bo12bo$12bo12bo$12b3o10bobo$26bobo$8b3o17bo$3bobo2bo18bo$4b2o3bo17b2o$4bo$8bo$8b2o$7bobo!
|viewerconfig = #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 25 PAUSE 2 LOOP 26 ]]
|position    = center
|caption      = A 6G synthesis<ref name=6g />
}}
|-
|{{EmbedViewer
|rle          = x = 46, y = 33, rule = B3/S23
4bo$5bo$3b3o27bo$31b2o$32b2o9$35bo$33b2o$34b2o$42b2o$17bo25bo$18bo23bo
$16b3o23bobo$43bobo$45bo$44bo$44b2o2$30b2o$29b2o$31bo$3o$2bo$bo18b3o$
22bo$21bo!
|viewerconfig = #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 12 PAUSE 1 T 42 PAUSE 1 T 61 PAUSE 2 LOOP 62 ]]
|position    = center
|caption      = A 7G synthesis<ref name="niemiec" />
}}
|-
|{{EmbedViewer
|rle          = x = 47, y = 29, rule = B3/S23
27bo$12bobo12bobo4bo$7bo5b2o12b2o4bo$8bo4bo19b3o$6b3o$17bo$15bobo$16b
2o3$43b2o$44bo$43bo$43bobo$25b2o17bobo$26bo19bo$11b2o12bo9b2o8bo$12b2o
11b2o8bobo7b2o$11bo23bo4$7b2o$6bobo$8bo2$b2o$obo$2bo!
|viewerconfig = #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 20 PAUSE 1 T 29 PAUSE 1 T 37 PAUSE 1 T 64 PAUSE 2 LOOP 65 ]]
|position    = center
|caption      = A 9-glider conversion from [[snake]]<ref name="niemiec" />
}}
|}
 
== Occurrence ==
Among the 121 still lifes with 12 cells, this is the third [[List of common still lifes|rarest]] according to [[Catagolue]].
 
There are no occurrences of this still life in final patterns of collisions in [[Octohash database|octohash]], octo3obj or octo3g databases.
 
== References ==
<references>
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-47.rle|nobullet=nobullet}}</ref>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xs12_g8jdz56}}
* {{LinkCatagolue|xs12_g8jdz56}}
{{LinkNiemiec|12/12-47.rle|patternname=12.47}}
* {{LinkPentadecathlonObject|12.91}}
{{LinkPentadecathlonObject|12.91}}
 
{{Symmetry|180degree}}


__NOTOC__
__NOTOC__

Latest revision as of 19:42, 10 October 2025

Fuse with two long tails
x = 4, y = 8, rule = B3/S23 2o$bo$o$obo$bobo$3bo$2bo$2b2o! #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 12
Bounding box 4 × 8
Frequency class 36.7
Static symmetry .k (C2_4)
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

The fuse with two long tails is a 12-cell still life.

Construction

This still life was synthesised with 6 gliders by Tanner Jacobi on October 9, 2025.[1] It was the longest holdout; since August 2024, it had been the only 12-cell still life without a synthesis in at most 6 gliders.

x = 29, y = 23, rule = B3/S23 13bo$12bo$12b3o$o$b2o$2o6$25b2o$13bo12bo$12bo12bo$12b3o10bobo$26bobo$8b3o17bo$3bobo2bo18bo$4b2o3bo17b2o$4bo$8bo$8b2o$7bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 25 PAUSE 2 LOOP 26 ]]
A 6G synthesis[1]
(click above to open LifeViewer)
x = 46, y = 33, rule = B3/S23 4bo$5bo$3b3o27bo$31b2o$32b2o9$35bo$33b2o$34b2o$42b2o$17bo25bo$18bo23bo $16b3o23bobo$43bobo$45bo$44bo$44b2o2$30b2o$29b2o$31bo$3o$2bo$bo18b3o$ 22bo$21bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 12 PAUSE 1 T 42 PAUSE 1 T 61 PAUSE 2 LOOP 62 ]]
A 7G synthesis[2]
(click above to open LifeViewer)
x = 47, y = 29, rule = B3/S23 27bo$12bobo12bobo4bo$7bo5b2o12b2o4bo$8bo4bo19b3o$6b3o$17bo$15bobo$16b 2o3$43b2o$44bo$43bo$43bobo$25b2o17bobo$26bo19bo$11b2o12bo9b2o8bo$12b2o 11b2o8bobo7b2o$11bo23bo4$7b2o$6bobo$8bo2$b2o$obo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 450 THEME Book ZOOM 10 X 0 Y 0 AUTOSTART GPS 8 T 0 PAUSE 3 T 20 PAUSE 1 T 29 PAUSE 1 T 37 PAUSE 1 T 64 PAUSE 2 LOOP 65 ]]
A 9-glider conversion from snake[2]
(click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the third rarest according to Catagolue.

There are no occurrences of this still life in final patterns of collisions in octohash, octo3obj or octo3g databases.

References

  1. ↑ 1.0 1.1 Kazyan (October 9, 2025). Message in #bots-and-mute-this on the Conwaylife Lounge Discord server , in which 12-in-6 was completed
  2. ↑ 2.0 2.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-47.rle)


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