Fumarole: Difference between revisions
MathAndCode (talk | contribs) Mentioned another example of a fumarole serving as a catalyst |
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|h = 12.8 | |h = 12.8 | ||
|v = 0.72 | |v = 0.72 | ||
|symmetry = -e | |||
|discoverer = Dean Hickerson | |discoverer = Dean Hickerson | ||
|discoveryear = 1989 | |discoveryear = 1989 | ||
|rulemin = B3/S23 | |rulemin = B3/S23 | ||
|rulemax = B3678/S02378 | |rulemax = B3678/S02378 | ||
|rulespecial = [[Conway's Game of Life|Conway Life]], | |rulespecial = [[Conway's Game of Life|Conway Life]], {{rl|HighLife}} | ||
|isorulemin = B3aijq/S2-cn3jnqr | |isorulemin = B3aijq/S2-cn3jnqr | ||
|isorulemax = B2n34-aknry5-jnq678/S0234-aqr5-ainq6-a78 | |isorulemax = B2n34-aknry5-jnq678/S0234-aqr5-ainq6-a78 | ||
|synthesis = | |synthesis = 6 | ||
|synthesisRLE = true | |synthesisRLE = true | ||
|plaintext = true | |plaintext = true | ||
| Line 24: | Line 25: | ||
|pentadecathlonid = 18P5.1 | |pentadecathlonid = 18P5.1 | ||
|animated = true | |animated = true | ||
|viewerconfig = #C [[ GPS | |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 7 | '''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. | ||
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 | 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. | ||
{{EmbedViewer | {{EmbedViewer | ||
|pname = 2fumaroles | |pname = 2fumaroles | ||
|position = center | |viewerconfig = #C [[ THUMBSIZE 2 ZOOM 16 GPS 3 AUTOSTART ]] | ||
|viewerconfig = #C [[ | |position = center | ||
|caption = | |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 | |||
}} | }} | ||
In February {{year|2000}} [[Stephen Silver]] found a {{gliders|7}} [[synthesis]] of this oscillator.<ref>{{CiteSummersPattern|name=jslife}}</ref> | == 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> | 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> | ||
{{EmbedViewer | {|style="margin-left:auto;margin-right:auto;width:300px;" | ||
|pname | |{{EmbedViewer | ||
|position = center | |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 ]] | |viewerconfig = #C [[ THUMBNAIL THUMBSIZE 2 ZOOM 16 ]] | ||
|caption = A | |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 == | ||
*[[ | * [[66P62]] | ||
*[[Fumarole on Achim's p11]] | * [[Fumarole on Achim's p11]] | ||
*[[Hebdarole]] | * [[Hebdarole]] | ||
*[[Mold on fumarole]] | * [[Mold on fumarole]] | ||
*[[ | * [[Smallest period 5 oscillators]] | ||
==References== | == References == | ||
<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 | <ref name="post17876">{{LinkForumThread | ||
|format | |format = ref | ||
|p | |p = 17876 | ||
|title | |title = Re: Soup search results | ||
|author | |author = Dave Greene | ||
|date | |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> | }}</ref> | ||
</references> | </references> | ||
==External links== | == External links == | ||
{{LinkLexicon|filename=lex_f.htm#fumarole}} | * {{LinkLexicon|filename=lex_f.htm#fumarole}} | ||
{{LinkCatagolue|xp5_3pmwmp3zx11}} | * {{LinkCatagolue|xp5_3pmwmp3zx11}} | ||
{{LinkPentadecathlonObject|18P5.1}} | * {{LinkPentadecathlonObject|18P5.1}} | ||
* | * {{LinkWikipedia|Fumarole}} (origin of name) | ||
{{ | |||
{{Sparker|p=5|type=domino|strength=moderate}} | {{Sparker|p=5|type=domino|strength=moderate}} | ||
__NOTOC__ | __NOTOC__ | ||
Latest revision as of 06:50, 8 February 2025
| Fumarole | |||||||||
| 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 | ||||||||
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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.
| 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.
| 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]
|
|
See also
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ x-oscs-new-p001-019.lif pattern collection
- ↑ Jason Summers' jslife pattern collection.
- ↑ The 4 eighteen-bit period 5 oscillators at Mark D. Niemiec's Life Page (download pattern file: 18/18fm.rle)
- ↑ Carson Cheng (March 25, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Carson Cheng (March 1, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on October 27, 2018.
- ↑ Dave Greene (March 12, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
- ↑ https://catagolue.hatsya.com/hashsoup/C1/c_YqtsFrdbvyAm218509887/b3s23
External links
- Fumarole at the Life Lexicon
- Fumarole at Adam P. Goucher's Catagolue
- 18P5.1 at Heinrich Koenig's Game of Life Object Catalogs
- Fumarole at Wikipedia (origin of name)
- Patterns
- Patterns with Catagolue frequency class 35
- Natural periodic objects
- Oscillators with 18 cells
- Periodic objects with minimum population 18
- Patterns with 18 cells
- Patterns found by Dean Hickerson
- Patterns found in 1989
- Patterns that can be constructed with 6 gliders
- Oscillators
- Oscillators with period 5
- Oscillators with mod 5
- Oscillators with heat 12
- Oscillators with volatility 0.72
- Oscillators with strict volatility 0.72
- Oscillators with -e symmetry
- Sparkers
- Sparkers with period 5
- Domino sparkers
- Moderate sparkers