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Mentioned another example of a fumarole serving as a catalyst
 
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http://www.urbandictionary.com/define.php?term=appletart%20game&defid=5956600
{{Oscillator
2. appletart game 15 up, 2 down
|name            = Fumarole
A game invented in October 2009 at First Flight High School where participants use the word appletart or some of its variants. Originally it was focused on who could say it the loudest but has evolved over time. The ways to play include: 1. Who can say appletart the loudest? 2. Who can say appletart the most in a game? 3. Who will say appletart last? 4. Who will day appletart in the funniest or most awkward situations? 5. What word will be matched when someone says appletart? Will it be appletart, applepie, poptart, or something else?1. kid 1: Appletart. kid 2: Appletart! kid 1: APPLETART! Kid 1:APPLETART!!! kid 3: AAAPPLETAAARRT!!!!! kid 4: There goes another appletart game.2. I love playing the appletart game. Appletart! appletart game mugs & shirtsapple tart game appletart apple tart appletard appleturd applefart applefuckingtart applepie poptart by appletartkid Jul 16, 2011 share this add a video
|pname            = fumarole
|c                = 18
|bx              = 8
|by              = 7
|fc              = 35.8
|p                = 5
|m                = 5
|h                = 12.8
|v                = 0.72
|symmetry        = -e
|discoverer      = Dean Hickerson
|discoveryear    = 1989
|rulemin          = B3/S23
|rulemax          = B3678/S02378
|rulespecial      = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}}
|isorulemin      = B3aijq/S2-cn3jnqr
|isorulemax      = B2n34-aknry5-jnq678/S0234-aqr5-ainq6-a78
|synthesis        = 6
|synthesisRLE    = true
|plaintext        = true
|rle              = true
|apgcode          = xp5_3pmwmp3zx11
|pentadecathlonid = 18P5.1
|animated        = true
|viewerconfig    = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 33 GPS 2 ]]
}}
'''Fumarole''' is a {{period|5}} [[oscillator]] that was found by [[Dean Hickerson]] on September 3, {{year|1989}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> In terms of its {{cells|18}} [[cell]]s it is the fourth smallest period 5 oscillator, after [[pseudo-barberpole]], [[octagon 2]], and [[Silver's p5]]; however, its {{times|7|8}} [[bounding box]] is the smallest of any known period 5 oscillator.


__NOTOC__{{Oscillator|p=5|name=Fumarole|pname=fumarole|bx=8|by=7|animated=true|c=18|h=12.8|v=0.72|discoverer=Dean Hickerson|discoveryear=1989|life105=true|life106=true|plaintext=true|rle=true|synthesis=7|synthesisRLE=true}}
The [[domino]] [[spark]] that it provides makes it useful in the construction of higher period oscillators such as the [[p35 beehive hassler]], [[p40 B-heptomino shuttle]], and [[98P25]]. On September 1, {{year|1995}}, [[Noam Elkies]] found a way to non-trivially combine two fumaroles and a [[blinker]] into a {{period|10}} oscillator, shown below;<ref>{{filename|x-oscs-new-p001-019.lif}} pattern collection</ref> 4 can be combined in a similar fashion.
'''Fumarole''' is a [[period]] [[:Category:Oscillators with period 5|5]] [[oscillator]] that was found by [[:Category:Patterns found by Dean Hickerson|Dean Hickerson]] in September [[:Category:Patterns found in 1989|1989]]. In terms of its [[:Category:patterns with 18 cells|18]] [[cell]]s it is the fourth smallest period 5 oscillator, after [[pseudo-barberpole]], [[octagon 2]], and [[Silver's p5]]; however, its 7&times;8 [[bounding box]] is the smallest of any known period 5 oscillator. The [[polyomino#domino|domino]] [[spark]] that it provides makes it useful in the construction of higher period oscillators such as the [[p35 beehive hassler]], [[p40 B-heptomino shuttle]], and [[98P25]]. On September 1, [[:Category:Patterns found in 1995|1995]], [[:Category:Patterns found by Noam Elkies|Noam Elkies]] found a way to non-trivially combine two fumaroles and a [[blinker]] into a period [[:Category:Oscillators with period 10|10]] oscillator, shown below.<ref>x-oscs-new-p001-019.lif pattern collection</ref> In February [[:Category:patterns found in 2000|2000]] [[Stephen Silver]] found a [[:Category:patterns that can be constructed with 7 gliders|7]]-[[glider]] [[glider synthesis|synthesis]] of this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref>


==Image gallery==
{{EmbedViewer
{|
|pname        = 2fumaroles
|-
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 GPS 3 AUTOSTART ]]
|[[Image:Two_fumaroles.png|framed|left|Noam Elkies' period 10 oscillator involving two fumaroles and a blinker<br />{{JavaRLE|2fumaroles|brief}}]]
|position    = center
|caption      = 2 fumaroles and a blinker
|style        = width:300px;
|apgcode      = xp10_3542usz6512310gh11zy0ojdwdjo
}}
 
There is an unusual fumarole [[Periodic catalyst|catalysis]] used in 45P25 shown below. The {{LinkCatagolue|code=gun_70|patternname=smallest p70 gun|style=raw}} and {{LinkCatagolue|code=xp70_y432acy3g0s4zy915dx11zy57ros4yfc4owo4cz0o0440oy1136yf708807zc96w69cycgoc4408gzyj3ffwoi053zye8e13y3ckggzys1|patternname=a certain p70 dependent reflector|style=raw}} use the same catalysis.
 
{{EmbedViewer
|pname        = 45p25
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 GPS 6 AUTOSTART ]]
|caption      = 45P25, showing the unusual fumarole catalysis on the right.
|apgcode      = xp25_35426oz65123y0eey3o62453zy7111y132156
}}
 
== Construction ==
In February {{year|2000}}, [[Stephen Silver]] found a {{gliders|7}} [[Glider synthesis|synthesis]] of this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref> There are known alternate syntheses.<ref name="niemiec" /><ref name="post159582" /> In {{year|2024}}, [[Carson Cheng]] found a {{gliders|6}} synthesis.<ref name="post179445"/>
 
== Occurrence ==
{{related|List of common oscillators}}
On [[Catagolue]], it is the second most common period 5 oscillator, being less common than [[octagon II]] but more common than [[Elkies' p5]].<ref>{{citeCatagolueStats|October 27, 2018}}</ref>
 
{|style="margin-left:auto;margin-right:auto;width:300px;"
|{{EmbedViewer
|pname        = fumarolepredecessor
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
|position    = center
|caption      = A  very common predecessor of fumarole involves two [[block]]s and a region resembling two [[xWSS]] heads [[weld]]ed together.<ref name="post17876" />
|style        = width:300px;
}}
|{{EmbedViewer
|rle          = x = 18, y = 7, rule = B3/S23
8b2o$7bo2bo$7bo2bo$3o5b2o5b3o$o2bo10bo2bo$o2bo10bo2bo$b3o10b3o!
|viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
|position    = center
|caption      = A stator variant of fumarole can form from a [[pond]] and two [[fleet]] predecessors.<ref>https://catagolue.hatsya.com/hashsoup/C1/c_YqtsFrdbvyAm218509887/b3s23</ref>
|style        = width:300px;
}}
|}
|}


==See also==
== See also ==
*[[Fumarole on Achim's p11]]
* [[66P62]]
*[[Hebdarole]]
* [[Fumarole on Achim's p11]]
*[[Mold on fumarole]]
* [[Hebdarole]]
*[[Period_5_oscillators#Smallest|Smallest period five oscillators]]
* [[Mold on fumarole]]
* [[Smallest period 5 oscillators]]
 
== References ==
<references>
<ref name="niemiec">{{LinkNiemiec|p5.htm#p5-18|The 4 eighteen-bit period 5 oscillators|rle=18/18fm.rle|nobullet=nobullet}}</ref>
<ref name="post17876">{{LinkForumThread
|format = ref
|p      = 17876
|title  = Re: Soup search results
|author = Dave Greene
|date  = March 12, 2015
}}</ref>
<ref name="post159582">{{LinkForumThread
|format = ref
|p      = 159582
|title  = Re: Synthesising Oscillators
|author = Carson Cheng
|date  = March 25, 2023
}}</ref>
<ref name="post179445">{{LinkForumThread
|format = ref
|p      = 179445
|title  = Re: Synthesising Oscillators
|author = Carson Cheng
|date  = March 1, 2024
}}</ref>
</references>


==References==
== External links ==
<references />
* {{LinkLexicon|filename=lex_f.htm#fumarole}}
* {{LinkCatagolue|xp5_3pmwmp3zx11}}
* {{LinkPentadecathlonObject|18P5.1}}
* {{LinkWikipedia|Fumarole}} (origin of name)


==External links==
{{Sparker|p=5|type=domino|strength=moderate}}
{{LinkWeisstein|filename=Fumarole.html}}
__NOTOC__
{{LinkLexicon|filename=lex_f.htm#fumarole}}
[[Category:Patterns with bilateral symmetry]]

Latest revision as of 06:50, 8 February 2025

Fumarole
x = 8, y = 7, rule = B3/S23 2o4b2o$obo2bobo$2bo2bo$bo4bo$bo4bo$bo4bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 33 GPS 2 ]]
View animated image
View static image
Pattern type Oscillator
Number of cells 18
Bounding box 8 × 7
Frequency class 35.8
Period 5 (mod: 5)
Heat 12.8
Volatility 0.72 | 0.72
Kinetic symmetry -e
Discovered by Dean Hickerson
Year of discovery 1989

Fumarole is a period-5 oscillator that was found by Dean Hickerson on September 3, 1989.[1] In terms of its 18 cells it is the fourth smallest period 5 oscillator, after pseudo-barberpole, octagon 2, and Silver's p5; however, its 7 × 8 bounding box is the smallest of any known period 5 oscillator.

The domino spark that it provides makes it useful in the construction of higher period oscillators such as the p35 beehive hassler, p40 B-heptomino shuttle, and 98P25. On September 1, 1995, Noam Elkies found a way to non-trivially combine two fumaroles and a blinker into a period-10 oscillator, shown below;[2] 4 can be combined in a similar fashion.

x = 15, y = 12, rule = b3/s23 2o13b$o2b2o4bo5b$b2ob2o3bo5b$4b2o3bo5b$4b2o9b$b2ob2o4b2o3b$o2b2o3bo4bo b$2o6bo4bob$8bo4bob$9bo2bo2b$7bobo2bobo$7b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 GPS 3 AUTOSTART ]]
2 fumaroles and a blinker
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

There is an unusual fumarole catalysis used in 45P25 shown below. The smallest p70 gun and a certain p70 dependent reflector use the same catalysis.

x = 24, y = 13, rule = B3/S23 22b2o$19b2o2bo$19bob2o$18bo$18bo$2o17bob2o$o2b2o8b2o4b2o2bo$b2obo8b2o 7b2o$5bo7b2o$5bo$b2obo5b3o$o2b2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 GPS 6 AUTOSTART ]]
45P25, showing the unusual fumarole catalysis on the right.
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

Construction

In February 2000, Stephen Silver found a 7-glider synthesis of this oscillator.[3] There are known alternate syntheses.[4][5] In 2024, Carson Cheng found a 6-glider synthesis.[6]

Occurrence

See also: List of common oscillators

On Catagolue, it is the second most common period 5 oscillator, being less common than octagon II but more common than Elkies' p5.[7]

x = 9, y = 11, rule = B3/S23 o5bo$o2b2o$2bo2bo$3bobo$4bo5$b2o4b2o$b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
A very common predecessor of fumarole involves two blocks and a region resembling two xWSS heads welded together.[8]
(click above to open LifeViewer)
RLE: here Plaintext: here
x = 18, y = 7, rule = B3/S23 8b2o$7bo2bo$7bo2bo$3o5b2o5b3o$o2bo10bo2bo$o2bo10bo2bo$b3o10b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]]
A stator variant of fumarole can form from a pond and two fleet predecessors.[9]
(click above to open LifeViewer)

See also

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ x-oscs-new-p001-019.lif pattern collection
  3. ↑ Jason Summers' jslife pattern collection.
  4. ↑ The 4 eighteen-bit period 5 oscillators at Mark D. Niemiec's Life Page (download pattern file: 18/18fm.rle)
  5. ↑ Carson Cheng (March 25, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  6. ↑ Carson Cheng (March 1, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  7. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
  8. ↑ Dave Greene (March 12, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
  9. ↑ https://catagolue.hatsya.com/hashsoup/C1/c_YqtsFrdbvyAm218509887/b3s23


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