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{{Oscillator|name=Fox|pname=fox|p=2|h=8|c=18|bx=8|by=7|discoverer=David Buckingham|discoveryear=1977|life105=true|life106=true|plaintext=true|rle=true|animated=yes}}
{{Oscillator
'''Fox''' is the smallest asymmetric [[period]] [[:Category:Oscillators with period 2|2]] [[oscillator]]. It was found by [[:Category:Patterns found by David Buckingham|David Buckingham]] in July [[:Category:Patterns found in 1977|1977]].
|name             = Fox
|pname           = fox
|c                = 12
|bx              = 8
|by              = 7
|fc              = 35.6
|p               = 2
|m                = 2
|h                = 18
|v                = 0.86
|symmetry        = n
|discoverer       = David Buckingham
|discoveryear     = 1977
|rulemin          = B3/S2
|rulemax          = B3678/S2345678
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B3-acek/S2ik
|isorulemax      = B2i34-inz5-r678/S2345678
|synthesis        = 6
|synthesisRLE    = true
|plaintext       = true
|rle             = true
|animated         = yes
|viewerconfig    = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
|apgcode          = xp2_g45h1sz03
|pentadecathlonid = 12P2.1
}}
'''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>


==External links==
== [[List of common oscillators|Commonness]] ==
[http://www.argentum.freeserve.co.uk/lex_f.htm#fox Fox] at the Life Lexicon
It is the 74th most common oscillator on [[Adam P. Goucher]]'s [[Catagolue]].
 
== Fox+Clock catalyst ==
{{main|Foxclock}}
 
A fox can be paired with a [[clock]] to make a [[periodic catalyst]]:
{{EmbedViewer
|pname        = foxclockcatalystexamples
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 GPS 4 ZOOM 12 HEIGHT 500 AUTOSTART T 0 PAUSE 4 T 26 PAUSE 2 LOOP 27 ]]
}}
 
== [[Glider synthesis]] ==
{{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>
 
== See also ==
* [[Caterer]]
* [[Lei]]
 
== References ==
<references />
 
== External links ==
{{LinkLexicon|filename=lex_f.htm#fox}}
{{LinkCatagolue|xp2_g45h1sz03}}
{{LinkPentadecathlonObject|12P2.1}}
 
__NOTOC__

Latest revision as of 17:25, 18 October 2024

Fox
4bo2b$4bo2b$2bo2bob$2o5b$4bobo$2bobobo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
View animated image
View static image
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

Fox (or gnome[1]) is the smallest period-2 oscillator with an asymmetric rotor. It was found by David Buckingham in July 1977.[2]

Commonness

It is the 74th most common oscillator on Adam P. Goucher's Catagolue.

Fox+Clock catalyst

Main article: Foxclock

A fox can be paired with a clock to make a periodic catalyst:

x = 33, y = 33, rule = B3/S23 28bo$7b2o18bobo$6bo2bo16bo2bo$7b2o18b2o2$6bo4bo14bo4bo$2bobobo2bobo10b obobo2bobo$4bobo3bobo11bobo3bobo$2o8bo9b2o8bo$2bo2bo16bo2bo$4bo19bo$4b o19bo10$7b2o13bob2ob2o$8bo13b2obobo$7bo19bo$7b2o18b2o2$6bo4bo14bo4bo$ 2bobobo2bobo10bobobo2bobo$4bobo3bobo11bobo3bobo$2o8bo9b2o8bo$2bo2bo16bo2bo$4bo19bo$4bo19bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 GPS 4 ZOOM 12 HEIGHT 500 AUTOSTART T 0 PAUSE 4 T 26 PAUSE 2 LOOP 27 ]]
(click above to open LifeViewer)
RLE: here Plaintext: here

Glider synthesis

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

  1. ↑ "Gnome". The Life Lexicon. Stephen Silver. Retrieved on June 21, 2011.
  2. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on June 21, 2011.
  3. ↑ 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
  4. ↑ chris_c (October 6, 2017). Re: Synthesising Oscillators , in which Goldtiger997's synthesis's cleanup was moved closer
  5. ↑ carsoncheng (February 22, 2024). Re: Synthesising Oscillators , in which a 6-glider synthesis was found


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