Beehive with hooked tail: Difference between revisions

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{{Stilllife
{{Stilllife
|name         = Beehive bend tail
|name             = Beehive with hooked tail
|pname       = beehivebendtail
|pname           = beehivewithhookedtail
|c           = 12
|c               = 12
|bx           = 5
|bx               = 6
|by          = 6
|by              = 5
|rulemin     = B/S23
|fc              = 21.7
|rulemax     = B3678/S012345678
|symmetry        = n
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|discoverer      = Robert Wainwright
|synthesis    = 4
|discoverer2      = Everett Boyer
|synthesisRLE = true
|discoveryear    = 1973
|life105      = true
|rulemin         = B/S23
|life106      = true
|rulemax         = B3678/S012345678
|plaintext   = true
|rulespecial     = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rle         = true
|isorulemin      = B/S2-in3cr
|apgcode     = xs12_2egm96
|isorulemax      = B2ikn34-aij5-kry678/S012345678
|synthesis        = 4
|synthesisRLE    = true
|plaintext       = true
|rle             = true
|apgcode         = xs12_2egm96
|niemiecid        = 12.112
|pentadecathlonid = 12.109
|viewerconfig    = [[ ZOOM 42 ]]
}}
}}
'''Beehive bend tail''' is a [[still life]] consisting of a [[beehive]] and an attached [[tail]].
'''Beehive with hooked tail''' is a {{slcells|12|text=12-cell}} [[still life]] consisting of a [[beehive]] and an attached [[hooked tail]].


==[[List of common still lifes|Commonness]]==
== Commonness ==
Beehive bend tail is the eighty-eighth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[ortho-loaf and table]] but more common than [[beehive with nine]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>  
{{main|List of common still lifes}}
Beehive with hooked tail is the eighty-eighth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[trans-loaf on table]] but more common than [[beehive with nine]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>


==Synthesis==
It is the 92nd [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[cis-boat on cap]] but more common than [[trans-boat with nine]]. It is the 12th most common still life with 12 cells, being less common than [[beehive at beehive]] but more common than [[beehive with nine]].<ref>{{citeCatagolueStats|May 4, 2023}}</ref>
On March 27, [[:Category:patterns found in 2007|2007]] [[Dean Hickerson]] found a [[:Category:patterns that can be constructed with 4 gliders|4]]-[[glider]] [[glider synthesis|synthesis]] of this still life.<ref>Dean Hickerson's [http://radicaleye.com/DRH/syntheses.html 2, 3, and 4-glider syntheses] pattern collection</ref>


==See also==
The [[octo3obj database]] contains eight collisions with this still life occurring in the ash.
*[[Beehive]]
*[[Beehive with tail]]


==References==
== Glider synthesis ==
<references />
On March 27, {{year|2007}} [[Dean Hickerson]] found a {{gliders|4}} [[Glider synthesis|synthesis]] of this still life.<ref name="drh_syntheses" /> A number of known syntheses can be found in [[Mark Niemiec's database]].<ref name="niemiec" />
 
{{EmbedViewer
|rle          = x = 53, y = 14, rule = B3/S23
3bo19bo$bobo17bobo$2b2o5bo12b2o9bo$10bo21bo18bo$8b3o21b3o12b2obobo$48b
obobo$48bo2bo$49b2o4$bo6b3o10bo10b3o$b2o7bo10b2o9bo$obo6bo10bobo10bo!
|viewerconfig = #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 24 PAUSE 2 LOOP 25 ]]
|position    = center
|caption      = 4G syntheses<ref name="drh_syntheses" /><ref name="niemiec" />
}}
 
== See also ==
* [[Beehive]]
* [[Beehive with tail]]
* [[Boat with hooked tail]]
* [[Loop]]
 
== References ==
<references>
 
<ref name="drh_syntheses">[https://conwaylife.com/ref/DRH/syntheses.html 2, 3, and 4-glider syntheses] at Dean Hickerson's Life page</ref>
<ref name="niemiec">{{LinkNiemiec|p1-12.htm|The 121 twelve-bit still-lifes|rle=12/12-112.rle|nobullet=nobullet}}</ref>
 
</references>
 
== External links ==
* {{LinkCatagolue|xs12_2egm96}}
* {{LinkPentadecathlonObject|12.109}}


==External links==
{{LinkCatagolue|xs12_2egm96}}
{{LinkNiemiec|p1-12.htm|patternname=The 121 twelve-bit still-lifes}}
__NOTOC__
__NOTOC__

Latest revision as of 04:52, 16 January 2025

Beehive with hooked tail
x = 6, y = 5, rule = B3/S23 2b2o$bo2bo$obobo$obob2o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ZOOM 21 HEIGHT 400 SUPPRESS ]] [[ ZOOM 42 ]]
Pattern type Strict still life
Number of cells 12
Bounding box 6 × 5
Frequency class 21.7
Static symmetry n (C1)
Discovered by Robert Wainwright
Everett Boyer
Year of discovery 1973

Beehive with hooked tail is a 12-cell still life consisting of a beehive and an attached hooked tail.

Commonness

Main article: List of common still lifes

Beehive with hooked tail is the eighty-eighth most common still life in Achim Flammenkamp's census, being less common than trans-loaf on table but more common than beehive with nine.[1]

It is the 92nd most common still life on Adam P. Goucher's Catagolue, being less common than cis-boat on cap but more common than trans-boat with nine. It is the 12th most common still life with 12 cells, being less common than beehive at beehive but more common than beehive with nine.[2]

The octo3obj database contains eight collisions with this still life occurring in the ash.

Glider synthesis

On March 27, 2007 Dean Hickerson found a 4-glider synthesis of this still life.[3] A number of known syntheses can be found in Mark Niemiec's database.[4]

x = 53, y = 14, rule = B3/S23 3bo19bo$bobo17bobo$2b2o5bo12b2o9bo$10bo21bo18bo$8b3o21b3o12b2obobo$48b obobo$48bo2bo$49b2o4$bo6b3o10bo10b3o$b2o7bo10b2o9bo$obo6bo10bobo10bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THEME Book ZOOM 10 AUTOSTART GPS 12 T 0 PAUSE 3 T 24 PAUSE 2 LOOP 25 ]]
4G syntheses[3][4]
(click above to open LifeViewer)

See also

References

  1. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on May 4, 2023.
  3. ↑ 3.0 3.1 2, 3, and 4-glider syntheses at Dean Hickerson's Life page
  4. ↑ 4.0 4.1 The 121 twelve-bit still-lifes at Mark D. Niemiec's Life Page (download pattern file: 12/12-112.rle)