Hat: Difference between revisions

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New page: {{Stilllife|name=Hat|pname=hat|c=9|discoveryear=1971|life105=true|life106=true|plaintext=true|rle=true}} '''Snake''' is the twenty-fifth most common still life, being less common than ...
 
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{{Stilllife|name=Hat|pname=hat|c=9|discoveryear=1971|life105=true|life106=true|plaintext=true|rle=true}}
{{Stilllife
'''Snake''' is the twenty-fifth most common [[still life]], being less common than [[trans-boat with tail]] but more common than [[boat-ship-tie]].<ref>{{cite web|url=http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html |title=Most seen natural occurring ash objects in Game of Life |author=Achim Flammenkamp |date=September 7, 2004 |accessdate=January 15, 2009}}</ref> It was discovered in [[:Category:Patterns found in 1971|1971]].
|name             = Hat
|pname           = hat
|c               = 9
|bx              = 5
|by              = 4
|fc              = 15.3
|symmetry        = -c
|discoveryear     = 1971
|rulemin          = B/S23
|rulemax          = B378/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B/S2-in3r
|isorulemax      = B2ikn34-ai5-y6-i78/S012345678
|synthesis        = 3
|synthesisRLE    = true
|plaintext       = true
|rle             = true
|apgcode          = xs9_4aar
|niemiecid        = 9.10
|pentadecathlonid = 9.1
|viewerconfig    = #C [[ ZOOM 60 ]]
}}{{disambiglink}}{{cleanup}}
'''Hat''' is a {{slcells|9|text=9-cell}} [[still life]] that was discovered independently in {{year|1971}} by several [[Conway's Game of Life|Life]] enthusiasts and named by [[Charles Corderman]].<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref><ref>{{citeLifeline|vol=2|pages=page 3}}</ref>


==See also==
The [[loop]] and [[eleven loop]] can be seen as the long and long long versions of the hat. Orthogonally lengthened versions of the hat are also possible still life components (a long{{sup|3}} version appears in [[Cthulhu]]), though they are not still lifes of their own.
*[[List of common still lifes]]
*[[Sesquihat]]
*[[Twin hat]]


==References==
== Uses ==
=== As a rock ===
It (as well as similar still lifes such as [[mirrored table]]) can be used as an [[eater]] (in particular, a [[rock]]) stabilising a stator variant<ref group=Catagolue>{{LinkCatagolue|xp46_x8e1e8zzzckgsxsgkczzx17871|patternname=Twin bees shuttle with hats|style=raw}}</ref> of the [[twin bees shuttle]]. The mechanism has some similarities to [[snake]]-type eaters.
 
It also functions at the same orientation as the rock of a period-3 oscillator with two caterer-like mechanisms,<ref group=Catagolue>{{LinkCatagolue|xp3_76m248zx4v0raa4zscd842|patternname=hat-p3|style=raw}}</ref> and a period-4 one<ref group=Catagolue>{{LinkCatagolue|xp4_aigo7zg88dj66z0hhrc66z5401e|patternname=hat-p4 with 20P4 halves|style=raw}}</ref> with two mirrored [[20P4]] halves, one on either side of it. The unnamed region may also instead be supported by eaters<ref group=Catagolue>{{LinkCatagolue|xp4_32q4z8kkm8k3zwchw3z311|patternname=hat-p4 with eaters|style=raw}}</ref> or mutually support ponds hassled at period-4, forming a D8_1-symmetrical tetramerisation.<ref group=Catagolue>{{LinkCatagolue|xp4_w8k8owfq2qfwo8k8z8o8phgx121xghp8o8z4746221xgx1226474zw4b56wsngnsw65b4zy41x1|patternname=hat-p4 hassling ponds|style=raw}}</ref>
 
== Occurrence ==
{{related|List of common still lifes|Most common objects on Catagolue}}
Hat is the twenty-fifth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[trans-boat with tail]] but more common than [[boat tie ship]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>
 
It is the 26th most common still life on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[boat tie ship]] but more common than [[very long ship]]. It is the 3rd most common still life with 9 cells, being less common than [[trans-boat with tail]] but more common than [[very long boat]].<ref>{{citeCatagolueStats|May 5, 2023}}</ref>
 
== Glider synthesis ==
{{main|Glider synthesis}}
{{Small constructible periodic object}}
 
== See also ==
* [[Sesquihat]]
* [[Twin hat]]
* [[Loop#Loop family|Hat family]]
 
== References ==
<references />
<references />


==External links==
[[Adam P. Goucher]]'s [[Catagolue]]:
[http://www.argentum.freeserve.co.uk/lex_h.htm#hat Hat] at the Life Lexicon
<references group=Catagolue>
</references>
 
== External links ==
* {{LinkLexicon|lex_h.htm#hat}}
* {{LinkCatagolue|xs9_4aar}}
* {{LinkNiemiec|p1.htm#p1-9|The 10 nine-bit still-lifes|rle=0/9-10.rle}}
* {{LinkPentadecathlonObject|id=9.1|archivedate=20221026092450|patternname=Hat}}
 
[[Category:Catalysts]]
[[Category:Eaters]]
 
__NOTOC__

Latest revision as of 10:31, 27 August 2024

Hat
x = 5, y = 4, rule = B3/S23 2bo$bobo$bobo$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] #C [[ ZOOM 60 ]]
View static image
Pattern type Strict still life
Number of cells 9
Bounding box 5 × 4
Frequency class 15.3
Static symmetry -c (D2_+1)
Discovered by Unknown
Year of discovery 1971
For other uses of 'Hat', see Hat (disambiguation).
This article may require cleanup to meet LifeWiki's quality standards.

Hat is a 9-cell still life that was discovered independently in 1971 by several Life enthusiasts and named by Charles Corderman.[1][2]

The loop and eleven loop can be seen as the long and long long versions of the hat. Orthogonally lengthened versions of the hat are also possible still life components (a long3 version appears in Cthulhu), though they are not still lifes of their own.

Uses

As a rock

It (as well as similar still lifes such as mirrored table) can be used as an eater (in particular, a rock) stabilising a stator variant[Catagolue 1] of the twin bees shuttle. The mechanism has some similarities to snake-type eaters.

It also functions at the same orientation as the rock of a period-3 oscillator with two caterer-like mechanisms,[Catagolue 2] and a period-4 one[Catagolue 3] with two mirrored 20P4 halves, one on either side of it. The unnamed region may also instead be supported by eaters[Catagolue 4] or mutually support ponds hassled at period-4, forming a D8_1-symmetrical tetramerisation.[Catagolue 5]

Occurrence

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

Hat is the twenty-fifth most common still life in Achim Flammenkamp's census, being less common than trans-boat with tail but more common than boat tie ship.[3]

It is the 26th most common still life on Adam P. Goucher's Catagolue, being less common than boat tie ship but more common than very long ship. It is the 3rd most common still life with 9 cells, being less common than trans-boat with tail but more common than very long boat.[4]

Glider synthesis

Main article: Glider synthesis

All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ Robert Wainwright (June 1971). Lifeline, vol 2, page 3.
  3. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  4. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 5, 2023.

Adam P. Goucher's Catagolue:

  1. ↑ Twin bees shuttle with hats
  2. ↑ hat-p3
  3. ↑ hat-p4 with 20P4 halves
  4. ↑ hat-p4 with eaters
  5. ↑ hat-p4 hassling ponds


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