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{{Glossary}}
{{Glossary}}
A '''barberpole''' is any {{period|2}} [[oscillator]] in the infinite sequence [[bipole]], [[tripole]], [[quadpole]], [[pentapole]], [[hexapole]], [[heptapole]]...
A '''barberpole''' is a {{period|2}} [[oscillator]] consisting of two terminal [[pre-pre-block]]s and a linear chain of B3c-inducing lone dots. This sequence of oscillators starting from [[bipole]],{{refn|group=note|The monopole cannot exist in regular [[Life]] due to the would-be alternating cell having 2 neighbours, allowing it to survive to evolve into a [[long ship]].}} [[tripole]], [[quadpole]], [[pentapole]], [[hexapole]], etc. was found by the [[MIT group]] in {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref>


{{EmbedViewer
{{EmbedViewer
|pname = barberpoles
|pname       = barberpoles
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 1200 AUTOSTART GPS 15 ]]
|viewerconfig = #C [[ THUMBSIZE 2 WIDTH 1200 ZOOM 8 AUTOSTART GPS 2 ]]
|caption      = barberpoles<br/>
|caption      = The first 12 barberpoles
}}
}}


A barberpole of order ''n'' (where n is the number of cells that move, an integer ≥ 2) has 6+n cells (6 of which are its [[stator]], n of which are its [[rotor]]), a square [[bounding box]] with side length 2n+1, [[heat]] 2n, and [[volatility]] n/(n+3). The monopole cannot exist in regular Life due to the would-be alternating cell having 2 neighbours, allowing it to survive to evolve into a [[long ship]].
A barberpole of order ''n'' (where n is the number of cells that move, an integer ≥ 2) has 6+n cells (6 of which are its [[stator]], n of which are its [[rotor]]), a square [[bounding box]] with side length 2n+1, [[heat]] 2n, and [[volatility]] n/(n+3). Any barberpole can be lengthened by the 4-[[glider]] [[component]] shown in [[barbershop]].


This sequence of oscillators was found by the MIT group in {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> The term is also used (usually in the form "barber pole") to describe other extensible sections of oscillators or spaceships, especially those (usually of period 2) in which all generations look alike except for a translation and/or rotation/reflection. Any barberpole can be lengthened by the reaction shown in [[barbershop]].
The term is also used (usually in the form "barber pole") to describe other [[extensible]] sections of oscillators or spaceships, especially those (usually of period 2) in which all generations look alike except for a translation and/or rotation/reflection.
 
== Table ==


{|class="wikitable"  
{|class="wikitable"  
 
!barberpole !! style="white-space:nowrap"|order{{br}}population{{br}}bounding box!! glider synthesis !! commonness  
!barberpole !! style="white-space:nowrap"|order<br/>population<br>bounding box!! glider synthesis !! commonness<br>per [[Achim Flammenkamp's census]]<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> !! notes
|-
|-
| {{EmbedViewer|pname=bipole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Bipole]]''' (Ethyl)<br> |apgcode=xp2_31ago}} ||style="text-align:center"| 2<br/>8<br/>5&times;5 || 5 gliders (Catagolue) || Seventh most common naturally-occurring oscillator. ||
| {{EmbedViewer|pname=bipole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Bipole]]''' |apgcode=xp2_31ago}} ||style="text-align:center"| 2{{br}}8{{br}}{{times|5|5}} || 4 gliders ([[Catagolue]]) || Seventh most common naturally-occurring oscillator per [[Achim Flammenkamp's census]].<ref name="AFcensus">{{citeAchim|accessdate=January 15, 2009}}</ref> 
|-
|-
| {{EmbedViewer|pname=tripole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Tripole]]''' (Propyl)<br> |apgcode=xp2_g0k053z11}} ||style="text-align:center"| 3<br/>9<br>6&times;6 || Martin Grant improved the previous 7-glider synthesis to 6 gliders on June 23, 2017.<ref name="post45062" /> [[goldenratio]] found a {{gliders|5}} [[synthesis]] in September {{year|2020}}.<ref name="post104637" /> || Fourteenth most common naturally-occurring oscillator. However, in diagonal symmetries, including 8-fold symmetries, the tripole is more more common than both the bipole and quadpole. ||
| {{EmbedViewer|pname=tripole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Tripole]]''' |apgcode=xp2_g0k053z11}} ||style="text-align:center"| 3{{br}}9{{br}}{{times|6|6}} || Martin Grant improved the previous 7-glider synthesis to 6 gliders on June 23, 2017.<ref name="post45062" /> [[goldenratio]] found a {{gliders|5}} [[synthesis]] in September {{year|2020}}.<ref name="post104637" /> || Fourteenth most common naturally-occurring oscillator per Achim Flammenkamp's census.<ref name="AFcensus"/> However, in "D2_x", "D4_x", and "D8" [[symmetries]], the tripole is more more common than both the bipole and quadpole due to it having reflectional rather than rotational symmetry.
|-
|-
| {{EmbedViewer|pname=quadpole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Quadpole]]''' (Butyl)<br> |apgcode=xp2_0g0k053z32}} ||style="text-align:center"| 4<br/>10<br>7&times;7 || 5 gliders (Catagolue) || Eighth most common naturally-occurring oscillator. Despite behaving the same in Conway's Game of Life as they do in [[HighLife]], they are only about 2% as common in HighLife because the ship is not stable, preventing the reaction on the right from occurring. || {{EmbedViewer|pname= quadpolegenerator ||viewerconfig = #C [[ THUMBSIZE 3 GPS 2 LOOP 10 PAUSE 3 AUTOSTART ]]|caption = Most common way by far for quadpole to form is by a<br>entury predecessor colliding with a ship<br/> |position=center
| {{EmbedViewer|pname=quadpole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Quadpole]]''' |apgcode=xp2_0g0k053z32}} ||style="text-align:center"| 4{{br}}10{{br}}{{times|7|7}} || 5 gliders (Catagolue) || Eighth most common naturally-occurring oscillator per Achim Flammenkamp's census.<ref name="AFcensus"/> Despite behaving the same in Conway's Game of Life as they do in [[HighLife]] (B36/S23), they are only about 2% as common in HighLife because the ship is not stable, preventing it forming when a century predecessor collides with a ship. In {{rl|Grounded Life}} (B35/S23), it is also less common as the [[century]] reaction does not work, even though ship works.
}}
|-
|-
| {{EmbedViewer|pname=pentapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Pentapole'''<br> |apgcode=xp2_wg0k053z642}} ||style="text-align:center"| 5<br/>11<br>8&times;8 || 9 gliders (Catagolue) ||  || First appeared naturally on March 31, 2015 in a soup submitted to Catagolue by [[David S. Miller]].<ref name="post18447" />
| {{EmbedViewer|pname=pentapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Pentapole]]''' |apgcode=xp2_wg0k053z642}} ||style="text-align:center"| 5{{br}}11{{br}}{{times|8|8}} || 8 gliders (Catagolue) || First appeared naturally on March 31, 2015 in a soup submitted to Catagolue by [[David S. Miller]].<ref name="post18447" />
|-
|-
| {{EmbedViewer|pname=hexapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Hexapole'''<br> |apgcode=xp2_xg0k053zca02}} ||style="text-align:center"| 6<br/>12<br>9&times;9 || 8 gliders (Catagolue) ||  || First appeared naturally on April 16, 2015 in a soup submitted to Catagolue by [[Brett Berger]].<ref name="post18734" />
| {{EmbedViewer|pname=hexapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Hexapole]]''' |apgcode=xp2_xg0k053zca02}} ||style="text-align:center"| 6{{br}}12{{br}}{{times|9|9}} || A 7-glider synthesis was found by Carson Cheng on June 3, 2024.<ref name="post186730" /> ||  First appeared naturally on April 16, 2015 in a soup submitted to Catagolue by [[Brett Berger]].<ref name="post18734" />
|-
|-
| {{EmbedViewer|pname=heptapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Heptapole''' (septapole)<br> |apgcode=xp2_31a08zy01050ko}} ||style="text-align:center"| 7<br/>13<br>10&times;10 || 12 gliders (Catagolue) ||  ||  First known appearance was on January 26, 2015 in a symmetric soup found by [[gameoflifeboy]] using apgsearch.<ref name="post16273" /> It first appeared naturally on December 11, 2018 in a haul submitted to Catagolue, making it the longest barberpole and the last [[:Category:Periodic objects with minimum population 13|13-bit periodic object]] to have emerged naturally.<ref name="post66400" />
| {{EmbedViewer|pname=heptapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''[[Heptapole]]''' |apgcode=xp2_31a08zy01050ko}} ||style="text-align:center"| 7{{br}}13{{br}}{{times|10|10}} || 11 gliders (Catagolue) ||  First known appearance was on January 26, 2015 in a symmetric soup found by [[gameoflifeboy]] using apgsearch.<ref name="post16273" /> It first appeared naturally on December 11, 2018 in a [[haul]] submitted to Catagolue, making it the longest barberpole and the last [[:Category:Periodic objects with minimum population 13|13-bit periodic object]] to have emerged naturally.<ref name="post66400" />
|-
|-
| {{EmbedViewer|pname=octapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Octapole'''<br> |apgcode=xp2_y1g0k053zg80a02z11}} ||style="text-align:center"| 8<br/>14<br>11&times;11 || [[Goldtiger997]] found a {{gliders|12}} [[synthesis]] based on a symmetric sample soup from Catagolue on April 22, {{year|2017}}.<ref name="goldtiger997_20170422" /> ||  || Along with [[14P2.4]], it is one of two periodic 14-bit objects which have shown up on Catagolue in an asymmetric soup.{{citation needed}}
| {{EmbedViewer|pname=octapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Octapole''' |apgcode=xp2_y1g0k053zg80a02z11}} ||style="text-align:center"| 8{{br}}14{{br}}{{times|11|11}} || [[Goldtiger997]] found a {{gliders|12}} [[synthesis]] based on a symmetric sample soup from Catagolue on April 22, {{year|2017}}.<ref name="post42858" /> || Along with [[xp2_4l1148kgzx302]], it is one of two periodic 14-bit objects which have not shown up on Catagolue in an asymmetric soup.
|-
|-
| {{EmbedViewer|pname=nonapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Nonapole''' (enneapole)<br> |apgcode=xp2_y2g0k053zw80a02z321}} ||style="text-align:center"| 9<br/>15<br>12&times;12 || 16 gliders (Catagolue) ||  ||
| {{EmbedViewer|pname=nonapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Nonapole''' (enneapole) |apgcode=xp2_y2g0k053zw80a02z321}} ||style="text-align:center"| 9{{br}}15{{br}}{{times|12|12}} || 14 gliders (Catagolue) ||   
|-
|-
| {{EmbedViewer|pname=decapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Decapole'''<br> |apgcode=xp2_y3g0k053zx80a02z6501}} ||style="text-align:center"| 10<br/>16<br>13&times;13 || [[Goldtiger997]] found a 14-glider synthesis based on a sample soup from Catagolue on April 22, 2017.<ref name="goldtiger997_20170422" /> [[GUYTU6J]] reduced this to 12 on September 29, 2021.<ref name="guytu6j_20210929" /> ||  ||
| {{EmbedViewer|pname=decapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Decapole''' |apgcode=xp2_y3g0k053zx80a02z6501}} ||style="text-align:center"| 10{{br}}16{{br}}{{times|13|13}} || [[Goldtiger997]] found a 14-glider synthesis based on a sample soup from Catagolue on April 22, 2017.<ref name="post42858" /> [[GUYTU6J]] reduced this to 12 on September 29, 2021.<ref name="post136145" /> ||   
|-
|-
| {{EmbedViewer|pname=undecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Undecapole'''<br> |apgcode=xp2_y580a13zxg0k0501zca02}} ||style="text-align:center"| 11<br/>17<br>14&times;14 || 16 gliders (Catagolue) ||  ||
| {{EmbedViewer|pname=undecapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Undecapole''' |apgcode=xp2_y580a13zxg0k0501zca02}} ||style="text-align:center"| 11{{br}}17{{br}}{{times|14|14}} || 16 gliders (Catagolue) ||   
|-
|-
| {{EmbedViewer|pname=duodecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Duodecapole'''<br> |apgcode=xp2_31a08zy01050k0gzy620ago}} ||style="text-align:center"| 12<br/>18<br>15&times;15 || 20 gliders (Catagolue) ||  ||
| {{EmbedViewer|pname=duodecapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Duodecapole''' |apgcode=xp2_31a08zy01050k0gzy620ago}} ||style="text-align:center"| 12{{br}}18{{br}}{{times|15|15}} || A 16-glider synthesis was found by Chris857 on December 26, 2022.<ref name="post155280" /> He then found a 14-glider synthesis on August 15, 2023.<ref name="j4873158801"/><ref name="post165126"/> ||   
|-
|-
| {{EmbedViewer|pname=tredecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Tredecapole''' (tridecapole)<br> |apgcode=xp2_y6g0k053zy280a02zg0k0501z11}} ||style="text-align:center"| 13<br/>19<br>16&times;16 || 24 gliders (Catagolue) ||  || The largest barberpole so far to have occurred semi-naturally.{{citation needed}}
| {{EmbedViewer|pname=tredecapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Tredecapole''' (tridecapole) |apgcode=xp2_y6g0k053zy280a02zg0k0501z11}} ||style="text-align:center"| 13{{br}}19{{br}}{{times|16|16}} || 18 gliders (Catagolue) ||  The largest barberpole so far to have occurred semi-naturally.
|-
|-
| {{EmbedViewer|pname=quattuordecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Quattuordecapole'''<br> |apgcode=xp2_y7g0k053zy380a02z0g0k0501z32}} ||style="text-align:center"| 14<br/>20<br>17&times;17 || 28 gliders (Catagolue) ||  ||
| {{EmbedViewer|pname=quattuordecapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Quattuordecapole''' |apgcode=xp2_y7g0k053zy380a02z0g0k0501z32}} ||style="text-align:center"| 14{{br}}20{{br}}{{times|17|17}} || 19 gliders (Catagolue) ||   
|-
| {{EmbedViewer|pname=quindecapole |viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Quindecapole'''<br> |apgcode=xp2_y8g0k053zy480a02zwg0k0501z642}} ||style="text-align:center"| 15<br>21<br>18&times;18 || 32 gliders (Catagolue) ||  ||
|-
|-
| {{EmbedViewer|pname=quindecapole |position=center| viewerconfig= #C [[ THUMBSIZE 3 ]] |caption='''Quindecapole''' |apgcode=xp2_y8g0k053zy480a02zwg0k0501z642}} ||style="text-align:center"| 15{{br}}21{{br}}{{times|18|18}} || 23 gliders (Catagolue) || 
|}
== Wickstretcher ==
On 9 March 2023, [[Keith Amling]] discovered a [[c/4 diagonal]] barberpole [[wickstretcher]].<ref name="post158775" />
{{EmbedViewer
|pname        = c4dbarberpolewickstretcher
|position    = center
|viewerconfig = #C [[ TRACK -1/4 -1/4  ZOOM 8 HEIGHT 600 ]]
|caption      = c/4 diagonal barberpole wickstretcher
|style        = width:300px;
}}


|}
== See also ==
* [[Pseudo-barberpole]]
* [[Quad]], [[skewed quad]] and [[lone dot agar]]
* [[Barbershop]]
* [[:Category:Barberpole variants|List of barberpole variants]] (includes oscillators using barberpoles as components, as well as other related patterns)


==See also==
== Notes ==
*[[Pseudo-barberpole]]
<references group="note" />
*[[Barbershop]]


==References==
== References ==
<references>
<references>
 
<ref name="j4873158801">{{CiteCatagolueJob|job=4873158801|date=August 15, 2023}}</ref>
<ref name="post45062">{{cite web
<ref name="post45062">{{LinkForumThread
|url        = https://www.conwaylife.com/forums/viewtopic.php?p=45062#p45062
|format = ref
|p = 45062
|title      = Re: Synthesising Oscillators
|title      = Re: Synthesising Oscillators
|author    = Extremeenthusiast
|author    = Extremeenthusiast
|work      = ConwayLife.com forums
|date      = June 23, 2017
|date      = June 23, 2017
|accessdate = June 24, 2017
}}</ref>
}}</ref>
<ref name="post104637">{{LinkForumThread
<ref name="post104637">{{LinkForumThread
Line 82: Line 95:
|title  = Re: Soup search results
|title  = Re: Soup search results
|p      = 18734
|p      = 18734
|author = Aidan F. Pierce
|author = praosylen
|date  = April 16, 2015
|date  = April 16, 2015
}}</ref>
}}</ref>
Line 99: Line 112:
|date  = December 11, 2018
|date  = December 11, 2018
}}</ref>
}}</ref>
<ref name="goldtiger997_20170422">{{cite web
<ref name="post42858">{{LinkForumThread
|url        = https://www.conwaylife.com/forums/viewtopic.php?p=42858#p42858
|format = ref
|p = 42858
|title      = Temp: to Soup Search Results
|title      = Temp: to Soup Search Results
|author    = Goldtiger997
|author    = Goldtiger997
|date      = April 22, 2017
|date      = April 22, 2017
|accessdate = April 23, 2017
|work      = ConwayLife.com forums
}}</ref>
}}</ref>
<ref name="guytu6j_20210929">{{cite web
<ref name="post136145">{{LinkForumThread
|url        = https://www.conwaylife.com/forums/viewtopic.php?p=136145#p136145
|format = ref
|title      = Synthesizin Oscillators
|p = 136145
|title      = Re: Synthesizing Oscillators
|author    = GUYTU6J
|author    = GUYTU6J
|date      = September 29, 2021
|date      = September 29, 2021
|accessdate = September 29, 2021
|work      = ConwayLife.com forums
}}</ref>
}}</ref>
 
<ref name="post155280">{{LinkForumThread
|format = ref
|p = 155280
|title      = Re: Synthesizing Oscillators
|author    = Chris857
|date      = December 26, 2022
}}</ref>
<ref name="post158775">{{LinkForumThread
|format = ref
|p = 158775
|title      = Re: Spaceship Discussion Thread
|author    = Keith Amling
|date      = March 9, 2023
}}</ref>
<ref name="post165126">{{LinkForumThread
|format = ref
|p = 165126
|title      = Re: Synthesizing Oscillators
|author    = Chris857
|date      = August 15, 2023
}}</ref>
<ref name="post186730">{{LinkForumThread
|format    = ref
|p          = 186730
|title      = Re: Synthesizing Oscillators
|author    = Carson Cheng
|date      = June 3, 2024
}}</ref>
</references>
</references>


==External links==
==External links==
{{LinkLexicon|lex_b.htm#barberpole}}
* {{LinkLexicon|lex_b.htm#barberpole}}
 
[[Category:Extendable oscillators]]
 
__NOTOC__

Latest revision as of 04:58, 3 June 2024

A barberpole is a period-2 oscillator consisting of two terminal pre-pre-blocks and a linear chain of B3c-inducing lone dots. This sequence of oscillators starting from bipole,[note 1] tripole, quadpole, pentapole, hexapole, etc. was found by the MIT group in 1970.[1]

x = 137, y = 16, rule = B3/S23 2o4b2o5b2o6b2o7b2o8b2o9b2o10b2o11b2o12b2o13b2o14b2o$obo3bobo4bobo5bobo 6bobo7bobo8bobo9bobo10bobo11bobo12bobo13bobo2$2bobo3bobo4bobo5bobo6bob o7bobo8bobo9bobo10bobo11bobo12bobo13bobo$3b2o6bo$10b2o5bobo5bobo6bobo 7bobo8bobo9bobo10bobo11bobo12bobo13bobo$18b2o8bo$27b2o7bobo7bobo8bobo 9bobo10bobo11bobo12bobo13bobo$37b2o10bo$48b2o9bobo9bobo10bobo11bobo12b obo13bobo$60b2o12bo$73b2o11bobo11bobo12bobo13bobo$87b2o14bo$102b2o13bo bo13bobo$118b2o16bo$135b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1200 ZOOM 8 AUTOSTART GPS 2 ]]
The first 12 barberpoles
(click above to open LifeViewer)
RLE: here Plaintext: here

A barberpole of order n (where n is the number of cells that move, an integer ≥ 2) has 6+n cells (6 of which are its stator, n of which are its rotor), a square bounding box with side length 2n+1, heat 2n, and volatility n/(n+3). Any barberpole can be lengthened by the 4-glider component shown in barbershop.

The term is also used (usually in the form "barber pole") to describe other extensible sections of oscillators or spaceships, especially those (usually of period 2) in which all generations look alike except for a translation and/or rotation/reflection.

Table

barberpole order
population
bounding box		 glider synthesis commonness
3b2o$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Bipole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 2
8
5 × 5		 4 gliders (Catagolue) Seventh most common naturally-occurring oscillator per Achim Flammenkamp's census.[2]
4b2o$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Tripole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 3
9
6 × 6		 Martin Grant improved the previous 7-glider synthesis to 6 gliders on June 23, 2017.[3] goldenratio found a 5-glider synthesis in September 2020.[4] Fourteenth most common naturally-occurring oscillator per Achim Flammenkamp's census.[2] However, in "D2_x", "D4_x", and "D8" symmetries, the tripole is more more common than both the bipole and quadpole due to it having reflectional rather than rotational symmetry.
5b2o$4bobo2$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Quadpole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 4
10
7 × 7		 5 gliders (Catagolue) Eighth most common naturally-occurring oscillator per Achim Flammenkamp's census.[2] Despite behaving the same in Conway's Game of Life as they do in HighLife (B36/S23), they are only about 2% as common in HighLife because the ship is not stable, preventing it forming when a century predecessor collides with a ship. In Grounded Life (B35/S23), it is also less common as the century reaction does not work, even though ship works.
6b2o$5bobo2$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Pentapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 5
11
8 × 8		 8 gliders (Catagolue) First appeared naturally on March 31, 2015 in a soup submitted to Catagolue by David S. Miller.[5]
7b2o$6bobo2$4bobo2$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Hexapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 6
12
9 × 9		 A 7-glider synthesis was found by Carson Cheng on June 3, 2024.[6] First appeared naturally on April 16, 2015 in a soup submitted to Catagolue by Brett Berger.[7]
8b2o$7bobo2$5bobo2$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Heptapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 7
13
10 × 10		 11 gliders (Catagolue) First known appearance was on January 26, 2015 in a symmetric soup found by gameoflifeboy using apgsearch.[8] It first appeared naturally on December 11, 2018 in a haul submitted to Catagolue, making it the longest barberpole and the last 13-bit periodic object to have emerged naturally.[9]
9b2o$8bobo2$6bobo2$4bobo2$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Octapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 8
14
11 × 11		 Goldtiger997 found a 12-glider synthesis based on a symmetric sample soup from Catagolue on April 22, 2017.[10] Along with xp2_4l1148kgzx302, it is one of two periodic 14-bit objects which have not shown up on Catagolue in an asymmetric soup.
10b2o$9bobo2$7bobo2$5bobo2$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Nonapole (enneapole)
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 9
15
12 × 12		 14 gliders (Catagolue)
11b2o$10bobo2$8bobo2$6bobo2$4bobo2$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Decapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 10
16
13 × 13		 Goldtiger997 found a 14-glider synthesis based on a sample soup from Catagolue on April 22, 2017.[10] GUYTU6J reduced this to 12 on September 29, 2021.[11]
12b2o$11bobo2$9bobo2$7bobo2$5bobo2$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Undecapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 11
17
14 × 14		 16 gliders (Catagolue)
13b2o$12bobo2$10bobo2$8bobo2$6bobo2$4bobo2$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Duodecapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 12
18
15 × 15		 A 16-glider synthesis was found by Chris857 on December 26, 2022.[12] He then found a 14-glider synthesis on August 15, 2023.[13][14]
14b2o$13bobo2$11bobo2$9bobo2$7bobo2$5bobo2$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Tredecapole (tridecapole)
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 13
19
16 × 16		 18 gliders (Catagolue) The largest barberpole so far to have occurred semi-naturally.
15b2o$14bobo2$12bobo2$10bobo2$8bobo2$6bobo2$4bobo2$2bobo2$obo$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Quattuordecapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 14
20
17 × 17		 19 gliders (Catagolue)
16b2o$15bobo2$13bobo2$11bobo2$9bobo2$7bobo2$5bobo2$3bobo2$bobo$o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 3 ]]
Quindecapole
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
 15
21
18 × 18		 23 gliders (Catagolue)

Wickstretcher

On 9 March 2023, Keith Amling discovered a c/4 diagonal barberpole wickstretcher.[15]

x = 56, y = 59, rule = B3/S23 15b2o$15bobo$15bo$18bo$17bobo$17bobo$9b3o5bo$9bo7bo$4b2o6b2o3bo3bo$4bo bo3bo6bo3b2o$4bo5b2o4bo3bo$7bo4b3o9b2o$7b2o11bo3bobo$18b2obo$bo11b2o2b o3bo4bobo$2o12bo6bo2bo$obo9bo7bo7bobo$4bo5b2o5b3o$3bo2bo2b2o2bo3bo3bob o6bobo$3bo3bo2bo5bo4bobo$7b5o7bobo10bobo$9bo6bo2bo$6bobo6b2ob4o12bobo$ 5bo8b2obo2b2o$4b2o2bo4b2o5b2o14bobo$3bo10bo5b2o$3bobob2o6b2o3b2o16bobo $4bo2b2o4bob2o$7b3o2b5o6bo16bobo$12bo6b2ob2o$12bob2obo2bo21bobo$17bo3b o$11b2o7b2obo20bobo$7b2o3bo2b4ob2o2bo$7bobo2b2obo7b3o20bobo$7bo6b2o2b 3o2b2o$10bo3b3o5b3o23bobo$10b3ob2o7bo$14bobobo3bo27bobo$16b2o4bo2bo$ 10b3o3bobo2b2obo27bobo$10b3o4bobo2bo32bo$5b3o10bo3b2o30b2o$5bo2b3o8bo$ 8bo$5bo2bo$5bo2bo3bo$6b2o2b2obo$6bo7bo$7bobo$7bobo4bo$11b5o$14b2o2$10b 3o$10b3o2$9b2o$9bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ TRACK -1/4 -1/4 ZOOM 8 HEIGHT 600 ]]
c/4 diagonal barberpole wickstretcher
(click above to open LifeViewer)
RLE: here Plaintext: here

See also

Notes

  1. ↑ The monopole cannot exist in regular Life due to the would-be alternating cell having 2 neighbours, allowing it to survive to evolve into a long ship.

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ 2.0 2.1 2.2 Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. ↑ Extremeenthusiast (June 23, 2017). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  4. ↑ Ian07 (September 21, 2020). Re: Randomly enumerating glider syntheses (discussion thread) at the ConwayLife.com forums
  5. ↑ gameoflifeboy (April 1, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  6. ↑ Carson Cheng (June 3, 2024). Re: Synthesizing Oscillators (discussion thread) at the ConwayLife.com forums
  7. ↑ praosylen (April 16, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  8. ↑ gameoflifeboy (January 26, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  9. ↑ Billabob (December 11, 2018). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  10. ↑ 10.0 10.1 Goldtiger997 (April 22, 2017). Temp: to Soup Search Results (discussion thread) at the ConwayLife.com forums
  11. ↑ GUYTU6J (September 29, 2021). Re: Synthesizing Oscillators (discussion thread) at the ConwayLife.com forums
  12. ↑ Chris857 (December 26, 2022). Re: Synthesizing Oscillators (discussion thread) at the ConwayLife.com forums
  13. ↑ shinjuku (#4873158801) (August 15, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
  14. ↑ Chris857 (August 15, 2023). Re: Synthesizing Oscillators (discussion thread) at the ConwayLife.com forums
  15. ↑ Keith Amling (March 9, 2023). Re: Spaceship Discussion Thread (discussion thread) at the ConwayLife.com forums


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