Trans-long³ hook with tail: Difference between revisions

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{{Stilllife
{{Stilllife
|name            = Long<sup>3</sup> hook with tail
|name            = Trans-long<sup>3</sup> hook with tail
|pname            = long3hookwithtail
|pname            = translong3hookwithtail
|c                = 11
|c                = 11
|bx              = 5
|bx              = 5
|by              = 8
|by              = 8
|fc              = 32.0
|fc              = 32.0
|symmetry        = n
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B35678/S012345678
|rulemax          = B35678/S012345678
Line 11: Line 12:
|isorulemin      = B/S2-i3nr
|isorulemin      = B/S2-i3nr
|isorulemax      = B2ikn34-ajnr5678/S012345678
|isorulemax      = B2ikn34-ajnr5678/S012345678
|synthesis        = 6
|synthesis        = 5
|rle              = true
|rle              = true
|plaintext        = true
|plaintext        = true
Line 18: Line 19:
|pentadecathlonid = 11.15
|pentadecathlonid = 11.15
}}
}}
'''Long<sup>3</sup> hook with tail''' (or '''extra long hook with tail''', or simply '''extra long hook''') is the [[long^3|long<sup>3</sup>]] version of a [[hook with tail]].
'''Trans-long<sup>3</sup> hook with tail''' is an {{slcells|11|text=11-cell}} [[still life]].


== [[List of common still lifes|Commonness]] ==
This still life is comprised of the normally unstable [[long^3 hook|long<sup>3</sup> hook]] with a normally unstable [[tail]] attached. This is one of two possible [[isomer]]s, named [[trans]] due to the corner part of the hook being farther from the tail; the other isomer, [[cis-long^3 hook with tail|cis-long<sup>3</sup> hook with tail]], has this corner part slightly closer.
{{Needs occurrence info|type=still life}}


== [[Glider synthesis]] ==
== Occurrence ==
A {{gliders|6}} [[synthesis]] of this still life was found by [[Goldtiger997]] in March {{year|2021}}.<ref name="message822317396386906152" />
{{related|List of common still lifes|Most common objects on Catagolue}}
It is the third rarest 11-cell still life out of 46. It is 20 times as rare as the [[trans-very long hook with tail]] and 16 times as common as the [[trans-long^4 hook with tail|trans-long<sup>4</sup> hook with tail]].
 
This still life does not occur in final patterns of collisions in [[Octohash database|octohash]], octo3obj or octo3g databases.
 
== Glider synthesis ==
{{main|Glider synthesis}}
This still life is known to be constructible with 5 gliders.<ref name="catagolue_object" /> Some known syntheses can be found in [[Mark Niemiec's database]].<ref name="niemiec" /> A {{gliders|6}} synthesis was found by [[Goldtiger997]] in March {{year|2021}},<ref name="message822317396386906152" /><ref name="j1112064197" /> and a {{gliders|5}} synthesis was discovered in March {{year|2023}}.<ref name="j3875043098" />
 
{| style="margin:auto;width:300px"
|{{EmbedViewer
|rle          = x = 42, y = 32, rule = B3/S23
23bo$22bo$22b3o3$11bo$9bobo$10b2o5$40b2o$34b2o3bobo$35bo2bo$35bobo$36bo8$5b2o$4bobo$6bo$10b2o$9bobo$2o9bo$b2o$o!
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 20 PAUSE 1 T 51 PAUSE 2 LOOP 52 ]]
|position    = center
|caption      = A 5G synthesis<ref name="j3875043098" />
}}
|-
|{{EmbedViewer
|rle          = x = 41, y = 22, rule = B3/S23
27bo$26bo5bo$26b3o2bo$31b3o2$20bo$19bo$19b3o2$39b2o$33b2o3bobo$34bo2bo
$34bobo$35bo5$2o$b2o2b2o22b2o$o3bobo22bobo$6bo22bo!
|viewerconfig = #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 36 PAUSE 2 LOOP 37 ]]
|position    = center
|caption      = A 6G synthesis<ref name="j1112064197" />
}}
|-
|{{EmbedViewer
|rle          = x = 39, y = 30, rule = B3/S23
16bo$14b2o$15b2o4$31bo$31bobo$31b2o6$37b2o$31b2o3bobo$32bo2bo$32bobo$
26b2o5bo$26bobo$b2o23bo$obo9b3o$2bo11bo$13bo$4b2o$3bobo$5bo$21bo$20b2o$20bobo!
|viewerconfig = #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 43 PAUSE 2 LOOP 44 ]]
|position    = center
|caption      = A 7G synthesis<ref name="niemiec" />
}}
|}


== See also ==
== See also ==
* [[Cis-hook with tail]]
* [[Hook with tail#Hook with tail family]]
* [[Long hook with tail]]
* [[Very long hook with tail]]


== References ==
== References ==
Line 39: Line 72:
|id      = 822317396386906152
|id      = 822317396386906152
}}</ref>
}}</ref>
<ref name="j1112064197">{{CiteCatagolueJob|job=1112064197|date=March 19, 2021}}</ref>
<ref name="niemiec">{{LinkNiemiec|p1.htm#p1-11|The 46 eleven-bit still-lifes|rle=11/11-13.rle|nobullet=nobullet}}</ref>
<ref name="catagolue_object">{{LinkCatagolue|xs11_03ia4z65|style=nobullet}}</ref>
<ref name="j3875043098">{{CiteCatagolueJob|job=3875043098|date=March 4, 2023}}</ref>
</references>
</references>


== External links ==
== External links ==
{{LinkCatagolue|xs11_03ia4z65}}
* {{LinkCatagolue|xs11_03ia4z65}}
{{LinkNiemiec|p1.htm#p1-11|patternname=The 46 eleven-bit still-lifes}}
* {{LinkNiemiec|p1.htm#p1-11|The 46 eleven-bit still-lifes|rle=11/11-13.rle}}
* {{LinkPentadecathlonObject|id=11.15|archivedate=20221101161522}}


[[Category:Diagonal line stabilisations]]
__NOTOC__

Latest revision as of 11:26, 27 August 2024

Trans-long3 hook with tail
x = 8, y = 5, rule = B3/S23 5bo$4bobo$3bo2bo$obo3b2o$2o! #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 11
Bounding box 5 × 8
Frequency class 32.0
Static symmetry n (C1)
Discovered by Unknown
Year of discovery Unknown

Trans-long3 hook with tail is an 11-cell still life.

This still life is comprised of the normally unstable long3 hook with a normally unstable tail attached. This is one of two possible isomers, named trans due to the corner part of the hook being farther from the tail; the other isomer, cis-long3 hook with tail, has this corner part slightly closer.

Occurrence

See also: List of common still lifes, Most common objects on Catagolue

It is the third rarest 11-cell still life out of 46. It is 20 times as rare as the trans-very long hook with tail and 16 times as common as the trans-long4 hook with tail.

This still life does not occur in final patterns of collisions in octohash, octo3obj or octo3g databases.

Glider synthesis

Main article: Glider synthesis

This still life is known to be constructible with 5 gliders.[1] Some known syntheses can be found in Mark Niemiec's database.[2] A 6-glider synthesis was found by Goldtiger997 in March 2021,[3][4] and a 5-glider synthesis was discovered in March 2023.[5]

x = 42, y = 32, rule = B3/S23 23bo$22bo$22b3o3$11bo$9bobo$10b2o5$40b2o$34b2o3bobo$35bo2bo$35bobo$36bo8$5b2o$4bobo$6bo$10b2o$9bobo$2o9bo$b2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 20 PAUSE 1 T 51 PAUSE 2 LOOP 52 ]]
A 5G synthesis[5]
(click above to open LifeViewer)
x = 41, y = 22, rule = B3/S23 27bo$26bo5bo$26b3o2bo$31b3o2$20bo$19bo$19b3o2$39b2o$33b2o3bobo$34bo2bo $34bobo$35bo5$2o$b2o2b2o22b2o$o3bobo22bobo$6bo22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 36 PAUSE 2 LOOP 37 ]]
A 6G synthesis[4]
(click above to open LifeViewer)
x = 39, y = 30, rule = B3/S23 16bo$14b2o$15b2o4$31bo$31bobo$31b2o6$37b2o$31b2o3bobo$32bo2bo$32bobo$ 26b2o5bo$26bobo$b2o23bo$obo9b3o$2bo11bo$13bo$4b2o$3bobo$5bo$21bo$20b2o$20bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 1 T 20 PAUSE 3 T 43 PAUSE 2 LOOP 44 ]]
A 7G synthesis[2]
(click above to open LifeViewer)

See also

References

  1. ↑ xs11_03ia4z65 at Adam P. Goucher's Catagolue
  2. ↑ 2.0 2.1 The 46 eleven-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 11/11-13.rle)
  3. ↑ Goldtiger997 (March 19, 2021). Message in #cgol on the Conwaylife Lounge Discord server
  4. ↑ 4.0 4.1 shinjuku (#1112064197) (March 19, 2021). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  5. ↑ 5.0 5.1 shinjuku (#3875043098) (March 4, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.


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