Quad: Difference between revisions
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{{Oscillator| | {{Oscillator | ||
'''Quad''' is a | |name = Quad | ||
|pname = quad | |||
|f1 = Muttering moat | |||
|family = Barberpole | |||
|c = 16 | |||
|bx = 6 | |||
|by = 6 | |||
|p = 2 | |||
|m = 1 | |||
|h = 8 | |||
|v = 0.40 | |||
|symmetry = rk*k | |||
|rotor = Clock | |||
|discoverer = Robert Kraus | |||
|discoveryear = 1971 | |||
|rulemin = B3/S23 | |||
|rulemax = B35678/S02345678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B3y/S2ae3n | |||
|isorulemax = B1e2cin34-r5678/S01e2345678 | |||
|synthesis = 8 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|animated = true | |||
|viewerconfig = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]] | |||
|apgcode = xp2_j5g29jz11w11 | |||
|pentadecathlonid = 16P2.19 | |||
}} | |||
'''Quad''' (or '''barberpole intersection'''<ref>{{LinkCallahan|glossary.html|patternname=Conway's Life Glossary}}</ref>) is a {{period|2}} [[oscillator]] and [[muttering moat]] that was found in April {{year|1971}} by [[Robert Kraus]].<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It has the same rotor as the [[clock]]. It and [[mold]] are the only [[flipper (oscillator)|flipper]]s that fit inside a {{times|6|6}} [[bounding box]]; however, mold is period 4. | |||
== | This oscillator first occurred [[natural]]ly on December 28, {{year|2015}}, in a [[soup]] submitted to [[Catagolue]] by [[Adam P. Goucher]]. | ||
[ | A {{gliders|12}} [[Glider synthesis|synthesis]] was constructed the day following its occurrence by [[Tanner Jacobi]].<ref name="post26291" /> | ||
Information on this oscillator's [[List of common oscillators|natural occurrence with respect to other naturally-occurring patterns]] is currently unknown. | |||
== Formation == | |||
Despite having fourfold [[symmetry]], quads typically form via twofold symmetry only. As shown below, there are two [[lumps of muck]] in the center, and the two outside objects shown can be anything with the same front two rows that does not interfere later. | |||
{{EmbedViewer | |||
|pname = quadpredecessor | |||
|position = center | |||
|viewerconfig = #C [[ GPS 4 THUMBSIZE 2 ]] | |||
|caption = Quad predecessor | |||
|style = width:300px; | |||
}} | |||
== See also == | |||
* [[Skewed quad]] | |||
* [[Barberpole]], which has a similar [[rotor]]. | |||
== References == | |||
<references> | |||
<ref name="post26291">{{LinkForumThread | |||
|format = ref | |||
|title = Re: Soup search results | |||
|p = 26291 | |||
|author = Tanner Jacobi | |||
|date = December 29, 2015 | |||
}}</ref> | |||
</references> | |||
== External links == | |||
* {{LinkLexicon|lex_q.htm#quad}} | |||
* {{LinkCatagolue|xp2_j5g29jz11w11}} | |||
* {{LinkNiemiec|p2.htm#p2-16|The 98 sixteen-bit period 2 oscillators|rle=16/16qd.rle}} | |||
* {{LinkPentadecathlonObject|16P2.19}} | |||
{{natural}} | |||
__NOTOC__ | |||
Latest revision as of 12:40, 7 August 2024
| Quad | |||||||||
| View animated image | |||||||||
| View static image | |||||||||
| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Muttering moat | ||||||||
| Family | Barberpole | ||||||||
| Number of cells | 16 | ||||||||
| Bounding box | 6 × 6 | ||||||||
| Period | 2 (mod: 1) | ||||||||
| Heat | 8 | ||||||||
| Volatility | 0.40 | 0.40 | ||||||||
| Kinetic symmetry | rk*k | ||||||||
| Rotor type | Clock | ||||||||
| Discovered by | Robert Kraus | ||||||||
| Year of discovery | 1971 | ||||||||
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Quad (or barberpole intersection[1]) is a period-2 oscillator and muttering moat that was found in April 1971 by Robert Kraus.[2] It has the same rotor as the clock. It and mold are the only flippers that fit inside a 6 × 6 bounding box; however, mold is period 4.
This oscillator first occurred naturally on December 28, 2015, in a soup submitted to Catagolue by Adam P. Goucher. A 12-glider synthesis was constructed the day following its occurrence by Tanner Jacobi.[3]
Information on this oscillator's natural occurrence with respect to other naturally-occurring patterns is currently unknown.
Formation
Despite having fourfold symmetry, quads typically form via twofold symmetry only. As shown below, there are two lumps of muck in the center, and the two outside objects shown can be anything with the same front two rows that does not interfere later.
| Quad predecessor (click above to open LifeViewer) RLE: here Plaintext: here |
See also
- Skewed quad
- Barberpole, which has a similar rotor.
References
- ↑ Conway's Life Glossary at Paul Callahan's Page of Conway's Life Miscellany
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Tanner Jacobi (December 29, 2015). Re: Soup search results (discussion thread) at the ConwayLife.com forums
External links
- Quad at the Life Lexicon
- Quad at Adam P. Goucher's Catagolue
- The 98 sixteen-bit period 2 oscillators at Mark D. Niemiec's Life Page (download pattern file: 16/16qd.rle)
- 16P2.19 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Oscillators with 16 cells
- Periodic objects with minimum population 16
- Patterns with 16 cells
- Patterns found by Robert Kraus
- Patterns found in 1971
- Patterns that can be constructed with 8 gliders
- Oscillators
- Barberpole variants
- Muttering moats
- Oscillators with period 2
- Oscillators with mod 1
- Oscillators with heat 8
- Oscillators with volatility 0.40
- Oscillators with strict volatility 0.40
- Oscillators with rk*k symmetry
- Oscillators with rotor Clock
- Natural periodic objects