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'''Fox''' (or '''gnome'''<ref>{{CiteLexicon|file=lex_g.htm#gnome|name=Gnome|accessdate=June 21, 2011}}</ref>) is the smallest {{period|2}} [[oscillator]] with an asymmetric rotor. It was found by [[David Buckingham]] in July {{year|1977}}.<ref>{{CiteHickersonOscillators|accessdate=June 21, 2011}}</ref> | '''Fox''' (or '''gnome'''<ref>{{CiteLexicon|file=lex_g.htm#gnome|name=Gnome|accessdate=June 21, 2011}}</ref>) is the smallest {{period|2}} [[oscillator]] with an asymmetric rotor. It was found by [[David Buckingham]] in July {{year|1977}}.<ref>{{CiteHickersonOscillators|accessdate=June 21, 2011}}</ref> | ||
==[[List of common oscillators|Commonness]]== | == [[List of common oscillators|Commonness]] == | ||
It is the 74th most common oscillator on [[Adam P. Goucher]]'s [[Catagolue]]. | It is the 74th most common oscillator on [[Adam P. Goucher]]'s [[Catagolue]]. | ||
==Fox+Clock catalyst== | == Fox+Clock catalyst == | ||
A fox can be paired with a [[clock]] to make a [[periodic catalyst]]: | A fox can be paired with a [[clock]] to make a [[periodic catalyst]]: | ||
{{EmbedViewer | {{EmbedViewer | ||
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==[[Glider synthesis]]== | == [[Glider synthesis]] == | ||
{{Small constructible periodic object}} | {{Small constructible periodic object}} | ||
In October 2017, [[Goldtiger997]] found a {{gliders|7}} synthesis,<ref>{{LinkForumThread|f=2|t=1155|p=51666|title=Re: Synthesising Oscillators|author=Goldtiger997|date=October 6, 2017|format=raw}}, in which fox and [[odd test tube baby]] were synthesised in 7 gliders, and [[hook test tube baby]] in 8</ref><ref>{{LinkForumThread|f=2|t=1155|p=51678|title=Re: Synthesising Oscillators|author=chris_c|date=October 6, 2017|format=raw}}, in which Goldtiger997's synthesis's cleanup was moved closer</ref> which was reduced to {{gliders|6|brief}} in February 2024 by [[Carson Cheng]].<ref>{{LinkForumThread|f=2|t=1155|p=178757|title=Re: Synthesising Oscillators|author=carsoncheng|date=February 22, 2024|format=raw}}, in which a 6-glider synthesis was found</ref> | In October 2017, [[Goldtiger997]] found a {{gliders|7}} synthesis,<ref>{{LinkForumThread|f=2|t=1155|p=51666|title=Re: Synthesising Oscillators|author=Goldtiger997|date=October 6, 2017|format=raw}}, in which fox and [[odd test tube baby]] were synthesised in 7 gliders, and [[hook test tube baby]] in 8</ref><ref>{{LinkForumThread|f=2|t=1155|p=51678|title=Re: Synthesising Oscillators|author=chris_c|date=October 6, 2017|format=raw}}, in which Goldtiger997's synthesis's cleanup was moved closer</ref> which was reduced to {{gliders|6|brief}} in February 2024 by [[Carson Cheng]].<ref>{{LinkForumThread|f=2|t=1155|p=178757|title=Re: Synthesising Oscillators|author=carsoncheng|date=February 22, 2024|format=raw}}, in which a 6-glider synthesis was found</ref> | ||
==See also== | == See also == | ||
* [[Caterer]] | * [[Caterer]] | ||
* [[Lei]] | * [[Lei]] | ||
==References== | == References == | ||
<references /> | <references /> | ||
==External links== | == External links == | ||
{{LinkLexicon|filename=lex_f.htm#fox}} | {{LinkLexicon|filename=lex_f.htm#fox}} | ||
{{LinkCatagolue|xp2_g45h1sz03}} | {{LinkCatagolue|xp2_g45h1sz03}} | ||
Revision as of 20:06, 7 August 2024
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 12 | ||||||||
| Bounding box | 8 × 7 | ||||||||
| Frequency class | 35.6 | ||||||||
| Period | 2 (mod: 2) | ||||||||
| Heat | 18 | ||||||||
| Volatility | 0.86 | 0.86 | ||||||||
| Kinetic symmetry | n | ||||||||
| Discovered by | David Buckingham | ||||||||
| Year of discovery | 1977 | ||||||||
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Fox (or gnome[1]) is the smallest period-2 oscillator with an asymmetric rotor. It was found by David Buckingham in July 1977.[2]
It is the 74th most common oscillator on Adam P. Goucher's Catagolue.
Fox+Clock catalyst
A fox can be paired with a clock to make a periodic catalyst:
| (click above to open LifeViewer) RLE: here Plaintext: here |
All strict still lifes with a population of 23 or fewer cells, all oscillators with 16 or fewer cells, and all spaceships with 35 or fewer cells are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.
In October 2017, Goldtiger997 found a 7-glider synthesis,[3][4] which was reduced to 6 in February 2024 by Carson Cheng.[5]
See also
References
- ↑ "Gnome". The Life Lexicon. Stephen Silver. Retrieved on June 21, 2011.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 21, 2011.
- ↑ Goldtiger997 (October 6, 2017). Re: Synthesising Oscillators , in which fox and odd test tube baby were synthesised in 7 gliders, and hook test tube baby in 8
- ↑ chris_c (October 6, 2017). Re: Synthesising Oscillators , in which Goldtiger997's synthesis's cleanup was moved closer
- ↑ carsoncheng (February 22, 2024). Re: Synthesising Oscillators , in which a 6-glider synthesis was found
External links
- Fox at the Life Lexicon
- Fox at Adam P. Goucher's Catagolue
- 12P2.1 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Patterns with Catagolue frequency class 35
- Natural periodic objects
- Oscillators with 12 cells
- Periodic objects with minimum population 12
- Patterns with 12 cells
- Patterns found by David Buckingham
- Patterns found in 1977
- Patterns that can be constructed with 6 gliders
- Oscillators
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 18
- Oscillators with volatility 0.86
- Oscillators with strict volatility 0.86
- Oscillators with n symmetry