Bee hat: Difference between revisions

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|by              = 6
|by              = 6
|fc              = 21.0
|fc              = 21.0
|symmetry        = n
|rulemin          = B/S23
|rulemin          = B/S23
|rulemax          = B378/S012345678
|rulemax          = B378/S012345678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B/S2-in3cknqr
|isorulemax      = B2in34-ai5-jqy6-i78/S012345678
|synthesis        = 4
|synthesis        = 4
|synthesisRLE    = true
|synthesisRLE    = true
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|niemiecid        = 15.360
|niemiecid        = 15.360
|pentadecathlonid = 15.200
|pentadecathlonid = 15.200
|viewerconfig    = [[ ZOOM 42 ]]
}}
}}
'''Bee hat''' (or '''hat with eater head siamese beehive''') is a 15-bit [[still life]] that is a [[siamese|siamization]] of a [[beehive]] and a [[hungry hat]].  
'''Bee hat''' (or '''hat with eater head siamese beehive''') is a 15-bit [[still life]] that is a [[siamese|siamization]] of a [[beehive]] and a [[hungry hat]].  


==Commonness==
== Commonness ==
Bee hat is the seventy-fifth most common [[still life]] in [[Achim Flammenkamp's census]], being less common than [[cis-loaf with tail]] but more common than [[trans-rotated R-bee]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the eighty-eighth most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
{{main|List of common still lifes}}
Bee hat is the seventy-fifth most common still life in [[Achim Flammenkamp's census]], being less common than [[cis-loaf with tail]] but more common than [[trans-rotated bun]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref>


==Synthesis==
It is the 77th [[List of common still lifes|most common still life]] on [[Adam P. Goucher]]'s [[Catagolue]], being less common than [[claw with tail]] but more common than [[cis-mirrored dove]]. It is the 4th most common still life with 14 cells, being less common than [[trans-bun and wing]] but more common than [[trans-boat on dock]].<ref>{{citeCatagolueStats|May 4, 2023}}</ref>
On April 29, [[: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==
== Formation ==
*[[Beehive]]
Bee hats usually, but not always, form from the same predecessor. Two damaged [[traffic light]] predecessors are shown below; sometimes the bee hat predecessors join one or two generations later, and occasionally, it forms completely differently.
*[[Hat]]
{{EmbedViewer
*[[List of common still lifes]]
|rle          = x = 18, y = 7, rule = B3/S23
2bo11bo$b3o9b3o$obobo7bobobo$3b3o9b3o$b2obo8b2obo$2bo10bo$3bo!
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 24 GPS 2 AUTOSTART T 0 PAUSE 2 LOOP 13 ]]
}}
 
== Glider synthesis ==
On April 29, {{year|2007}} [[Dean Hickerson]] found a {{gliders|4}} [[Glider synthesis|synthesis]] of bee hat.<ref>Dean Hickerson's [https://conwaylife.com/ref/DRH/syntheses.html 2, 3, and 4-glider syntheses] pattern collection</ref>
 
== See also ==
* [[Hat]]


==References==
== References ==
<references />
<references />


==External links==
== External links ==
{{LinkCatagolue|xs15_3lkm96z01|patternname=Bee-hat}}
* {{LinkCatagolue|xs15_3lkm96z01|patternname=Bee-hat}}
{{LinkNiemiec|p1-15.htm|patternname=The 1353 fifteen-bit still-lifes}}
* {{LinkNiemiec|p1-15.htm|patternname=The 1353 fifteen-bit still-lifes}}
 
__NOTOC__
__NOTOC__

Latest revision as of 04:48, 16 January 2025

Bee hat
x = 6, y = 6, rule = B3/S23 b2o3b$o2bo2b$b2obob$2bobob$obob2o$2o! #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 15
Bounding box 6 × 6
Frequency class 21.0
Static symmetry n (C1)
Discovered by Unknown
Year of discovery Unknown

Bee hat (or hat with eater head siamese beehive) is a 15-bit still life that is a siamization of a beehive and a hungry hat.

Commonness

Main article: List of common still lifes

Bee hat is the seventy-fifth most common still life in Achim Flammenkamp's census, being less common than cis-loaf with tail but more common than trans-rotated bun.[1]

It is the 77th most common still life on Adam P. Goucher's Catagolue, being less common than claw with tail but more common than cis-mirrored dove. It is the 4th most common still life with 14 cells, being less common than trans-bun and wing but more common than trans-boat on dock.[2]

Formation

Bee hats usually, but not always, form from the same predecessor. Two damaged traffic light predecessors are shown below; sometimes the bee hat predecessors join one or two generations later, and occasionally, it forms completely differently.

x = 18, y = 7, rule = B3/S23 2bo11bo$b3o9b3o$obobo7bobobo$3b3o9b3o$b2obo8b2obo$2bo10bo$3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 24 GPS 2 AUTOSTART T 0 PAUSE 2 LOOP 13 ]]
(click above to open LifeViewer)

Glider synthesis

On April 29, 2007 Dean Hickerson found a 4-glider synthesis of bee hat.[3]

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. ↑ Dean Hickerson's 2, 3, and 4-glider syntheses pattern collection