Long hook with tail: Difference between revisions

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{{Stilllife|name=Long hook with tail|pname=longhookwithtail|bx=6|by=4|c=9|life105=true|life106=true|plaintext=true|rle=true|synthesis=5|synthesisRLE=true}}
{{Stilllife
A '''long hook with tail''' is a [[long]] version of a [[hook with tail]].
|name             = Long hook with tail
|pname           = longhookwithtail
|c                = 9
|bx               = 6
|by               = 4
|fc              = 23.1
|symmetry        = n
|discoverer      = Robert Wainwright
|discoveryear    = 1972
|rulemin          = B/S23
|rulemax          = B35678/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B/S2-i3nr
|isorulemax      = B2ikn34-ajnr5678/S012345678
|synthesis        = 5
|synthesisRLE    = true
|plaintext       = true
|rle             = true
|apgcode          = xs9_178426
|niemiecid        = 9.8
|pentadecathlonid = 9.8
|viewerconfig    = [[ ZOOM 57 ]]
}}
'''Long hook with tail''' is a {{cells|9|text=9-cell}} [[still life]]. It was found by [[Robert Wainwright]] in {{year|1972}}, and was one of the last 9-bit still lifes to be reported.<ref>{{CiteLifeline|vol=5|pages=pages 4, 6}}</ref>


==See also==
== Catalysis ==
*[[Cis-hook with tail]]
Long hook with tail can sometimes be used as a block catalyst. Since it is a [[rock]] during catalysis, it can be used when the block gets destroyed by nearby junk while undergoing catalysis. An example can be seen in a high-clearance variant of the eater 5 that allows the compression of [[Herschel]] [[Herschel loop|loop]] [[oscillator]]s to [[period]]s of {{period|57|brief}}, {{period|58|brief}}, {{period|59|brief}}, and {{period|60|brief}}. For more of the usage of this catalyst and other block-replacement catalysts, see [[Tutorials/Catalyses#Block_replacements]].
*[[Long long hook with tail]]


==External links==
{| style="margin:auto; width:40%"
*[http://home.interserv.com/~mniemiec/still.htm#9-bit%20still Nine-bit still lifes] by Mark Niemiec
|{{EmbedViewer
|pname = eater5variant
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ]]
|caption      = A variation of the tub-with-tail eater using a long hook with tail
}}
|}
 
== Occurrence ==
{{related|List of common still lifes|Most common objects on Catagolue}}
{{CatagolueSLRarity
|population        = 9
|absrank          = 129th
|abslesscommonthan = house siamese shillelagh
|absmorecommonthan = block on bun tie bun
|popspecial        = true
|popspecialtext    = It is the second-rarest still life with 9 cells, being 5 times less common than [[long canoe]] but 3 times as common as [[long^3 snake]].
|date              = May 14, 2023
}}
 
== Glider synthesis ==
{{main|Glider synthesis}}
The long hook with tail is known for being more difficult to synthesize than other still lifes of this size. Of the 31 strict still lifes of 9 bits and below, only 2, long hook with tail and [[long^3 snake]], cost 5 gliders, which is the maximum glider cost in this group of small still lifes.
 
== See also ==
* [[Hook with tail#Hook with tail family|Hook with tail family]]
 
== References ==
<references />
 
== External links ==
* {{LinkCatagolue|xs9_178426}}
* {{LinkNiemiec|p1.htm#p1-9|The 10 nine-bit still-lifes|rle=0/9-8.rle}}
* {{LinkPentadecathlonObject|id=9.8}}
 
[[Category:Diagonal line stabilisations]]
[[Category:Catalysts]]
 
__NOTOC__

Latest revision as of 10:32, 27 August 2024

Long hook with tail
x = 6, y = 4, rule = B3/S23 3bo$obobo$2o2bo$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 57 ]]
View static image
Pattern type Strict still life
Number of cells 9
Bounding box 6 × 4
Frequency class 23.1
Static symmetry n (C1)
Discovered by Robert Wainwright
Year of discovery 1972

Long hook with tail is a 9-cell still life. It was found by Robert Wainwright in 1972, and was one of the last 9-bit still lifes to be reported.[1]

Catalysis

Long hook with tail can sometimes be used as a block catalyst. Since it is a rock during catalysis, it can be used when the block gets destroyed by nearby junk while undergoing catalysis. An example can be seen in a high-clearance variant of the eater 5 that allows the compression of Herschel loop oscillators to periods of 57, 58, 59, and 60. For more of the usage of this catalyst and other block-replacement catalysts, see Tutorials/Catalyses#Block_replacements.

x = 10, y = 6, rule = B3/S23 3bo3b2o$2bobo3bo$bobo3bo$bo4bo$2o5b3o$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ]]
A variation of the tub-with-tail eater using a long hook with tail
(click above to open LifeViewer)
RLE: here Plaintext: here

Occurrence

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

Long hook with tail is the 129th most common still life on Adam P. Goucher's Catagolue, being less common than house siamese shillelagh but more common than block on bun tie bun. It is the second-rarest still life with 9 cells, being 5 times less common than long canoe but 3 times as common as long^3 snake.[2]

Glider synthesis

Main article: Glider synthesis

The long hook with tail is known for being more difficult to synthesize than other still lifes of this size. Of the 31 strict still lifes of 9 bits and below, only 2, long hook with tail and long^3 snake, cost 5 gliders, which is the maximum glider cost in this group of small still lifes.

See also

References

  1. ↑ Robert Wainwright (September 1972). Lifeline, vol 5, pages 4, 6.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 14, 2023.


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