Fuse with two long tails: Difference between revisions

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m add Kazyan's 6-glider synthesis (this being the final 12-cell SL to be synthesised in ≤ 6)
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|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
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== Construction ==
== Construction ==
This still life is known to be [[Glider synthesis|constructible]] with {{gliders|7|text=7 gliders}},<ref name="catagolue_object" /> and {{as of|October 2024}} is the only 12-cell still life with no known synthesis with 6 gliders or fewer.
This still life was [[synthesis]]ed with {{gliders|6|text=6 gliders}} by [[Kazyan]] 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 was the only 12-cell still life without a synthesis in at most 6 gliders.


{| style="margin:auto;width:300px"
{| style="margin:auto;width:300px"
|{{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
|{{EmbedViewer
|rle          = x = 46, y = 33, rule = B3/S23
|rle          = x = 46, y = 33, rule = B3/S23
Line 56: Line 64:
== References ==
== References ==
<references>
<references>
<ref name="catagolue_object">{{LinkCatagolue|xs12_g8jdz56|style=nobullet}}</ref>
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-47.rle|nobullet=nobullet}}</ref>
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-47.rle|nobullet=nobullet}}</ref>
</references>
</references>

Revision as of 19:21, 9 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 Kazyan on October 9, 2025.[1] It was the longest holdout; since August 2024, it was 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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