Trans-very long hook with nine: Difference between revisions

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m previous name is linked to a different still life on Catagolue; formatting
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|pentadecathlonid = 12.39
|pentadecathlonid = 12.39
}}
}}
'''Trans-very long hook with nine''' is a {{slcells|12|text=12-cell}} [[still life]].
'''Trans-very long hook with nine''' or '''integral with very long hook'''<ref name="catagolue_object" /> is a {{slcells|12|text=12-cell}} [[still life]].
 
== Construction ==
 
A {{gliders|6}} [[Glider synthesis|synthesis]] of this still life was found in March {{year|2021}}.<ref name="post125234" />
Several known syntheses can be found in [[Mark Niemiec's database]].<ref name="niemiec" />
 
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|rle          = x = 74, y = 51, rule = B3/S23
49bo$49bobo$49b2o2$34bo$32bobo$33b2o6$43bo$41bobo$42b2o3bo$46bo$46b3o
20$2o$b2o$o10$71b3o$71bo$72bo!
|viewerconfig = #C [[ HEIGHT 400 THEME Book ZOOM 8 X 0 Y -8 AUTOSTART GPS 12 T 0 PAUSE 3 T 28 PAUSE 1 T 37 PAUSE 1 T 169 PAUSE 1 T 170 PAUSE 2 LOOP 171 ]]
|position    = center
|caption      = A 6G synthesis<ref name="post125234" />
}}
|-
|{{EmbedViewer
|rle          = x = 38, y = 32, rule = B3/S23
bo$2bo$3o2$20bo$18b2o$19b2o3$obo$b2o8bo$bo7bobo9bo$10b2o7b2o$20b2o2$30b2o$30bobo3b2o$32bo2bobo$23b2o7bobo$23bobo7bo$9b2o12bo$8bobo$10bo7$18b3o$18bo$19bo!
|viewerconfig = #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 15 PAUSE 1 T 37 PAUSE 2 LOOP 38 ]]
|position    = center
|caption      = A 8G synthesis<ref name="niemiec" />
}}
|}
 
== Occurrence ==
 
Among the 121 still lifes with 12 cells, this is the 60th [[List of common still lifes|most common still life]] according to [[Catagolue]].
 
There are no occurrences of this still life in final patterns of collisions in [[Octohash database|octohash]], octo3obj or octo3g databases.
 
== Isomers ==


This still life is comprised of the normally unstable [[very long hook]] with a normally unstable [[nine]] attached. This is one of two possible [[isomer]]s, named [[trans]] due to the corner part of the hook being farther from the nine; the other isomer, [[cis-very long hook with nine]], has this corner part slightly closer.
This still life is comprised of the normally unstable [[very long hook]] with a normally unstable [[nine]] attached. This is one of two possible [[isomer]]s, named [[trans]] due to the corner part of the hook being farther from the nine; the other isomer, [[cis-very long hook with nine]], has this corner part slightly closer.
Line 28: Line 60:


It can be [[Substitutive nomenclature|substitutively]] referred to as the ''integral with trans-very long hook'', with one [[pre-block]] of the [[integral sign]] replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object.
It can be [[Substitutive nomenclature|substitutively]] referred to as the ''integral with trans-very long hook'', with one [[pre-block]] of the [[integral sign]] replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object.
Among the 121 still lifes with 12 cells, this is the 60th [[List of common still lifes|most common still life]] according to [[Catagolue]].
A {{gliders|6}} [[Glider synthesis|synthesis]] of this still life was found in March {{year|2021}}.<ref name="post125234" />


== References ==
== References ==
Line 42: Line 70:
|date  = March 11, 2021
|date  = March 11, 2021
}}</ref>
}}</ref>
<ref name="catagolue_object">{{LinkCatagolue|xs12_31eg8426|style=nobullet}}</ref>
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-40.rle|nobullet=nobullet}}</ref>
</references>
</references>


== External links ==
== External links ==
* {{LinkCatagolue|xs12_31eg8426|patternname=Integral with very long hook}}
* {{LinkCatagolue|xs12_31eg8426|patternname=Integral with very long hook}}
* {{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-40.rle}}
* {{LinkPentadecathlonObject|12.39}}
* {{LinkPentadecathlonObject|12.39}}


__NOTOC__
__NOTOC__

Revision as of 11:12, 27 October 2022

Trans-very long hook with nine
x = 8, y = 5, rule = B3/S23 4bo$3bobo$obo2bo$2o3bobo$6b2o! #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 8 × 5
Frequency class 29.5
Static symmetry Unspecified
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Trans-very long hook with nine or integral with very long hook[1] is a 12-cell still life.

Construction

A 6-glider synthesis of this still life was found in March 2021.[2] Several known syntheses can be found in Mark Niemiec's database.[3]

x = 74, y = 51, rule = B3/S23 49bo$49bobo$49b2o2$34bo$32bobo$33b2o6$43bo$41bobo$42b2o3bo$46bo$46b3o 20$2o$b2o$o10$71b3o$71bo$72bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 THEME Book ZOOM 8 X 0 Y -8 AUTOSTART GPS 12 T 0 PAUSE 3 T 28 PAUSE 1 T 37 PAUSE 1 T 169 PAUSE 1 T 170 PAUSE 2 LOOP 171 ]]
A 6G synthesis[2]
(click above to open LifeViewer)
x = 38, y = 32, rule = B3/S23 bo$2bo$3o2$20bo$18b2o$19b2o3$obo$b2o8bo$bo7bobo9bo$10b2o7b2o$20b2o2$30b2o$30bobo3b2o$32bo2bobo$23b2o7bobo$23bobo7bo$9b2o12bo$8bobo$10bo7$18b3o$18bo$19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 8 X 0 Y 0 AUTOSTART GPS 12 T 0 PAUSE 3 T 15 PAUSE 1 T 37 PAUSE 2 LOOP 38 ]]
A 8G synthesis[3]
(click above to open LifeViewer)

Occurrence

Among the 121 still lifes with 12 cells, this is the 60th most common still life according to Catagolue.

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

Isomers

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

Unlike the cis-version, the trans-very long hook with nine can be shrunk down to two smaller still lifes: the long hook with nine and hooked integral. Due to the trans version being the only one which can be shrunk, these two do not have cis-trans prefixes.

It can be substitutively referred to as the integral with trans-very long hook, with one pre-block of the integral sign replaced with a very long hook, however "trans-very long hook with nine" is usually preferred for this object.

References

  1. ↑ xs12_31eg8426 at Adam P. Goucher's Catagolue
  2. ↑ 2.0 2.1 bubblegum (March 11, 2021). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
  3. ↑ 3.0 3.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-40.rle)


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