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{{Oscillator
{{Oscillator
|name         = Pinwheel
|name             = Pinwheel
|pname       = pinwheel
|pname           = pinwheel
|family       = Pinwheel
|family           = Pinwheel
|f1           = Billiard table
|f1               = Billiard table
|c           = 35
|c               = 35
|bx           = 12
|bx               = 12
|by           = 12
|by               = 12
|p           = 4
|p               = 4
|m           = 1
|m               = 1
|h           = 4.0
|h               = 4.0
|v           = 0.20
|v               = 0.20
|sv           = 0.20
|sv               = 0.20
|discoverer   = Simon Norton
|symmetry        = nrk
|discoveryear = 1970
|discoverer       = Simon Norton
|rulemin     = B3/S23
|discoveryear     = 1970
|rulemax     = B3678/S0235678
|rulemin         = B3/S23
|synthesis    = 151
|rulemax         = B3678/S0235678
|synthesisRLE = true
|rulespecial     = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|rulespecial = [[Conway's Game of Life|Conway Life]]
|isorulemin      = B3ik/S2ik3aeinr
|life105      = true
|isorulemax      = B2in34-intw5aceiy678/S01e234-n5678
|life106      = true
|synthesis        = 160
|plaintext   = true
|synthesis2      = 112
|rle         = true
|synthesisRLE    = true
|animated     = yes
|plaintext       = true
|viewerconfig = #C [[ TRACKLOOP 4 0 0 GPS 2 THUMBSIZE 2 ]]
|rle             = true
|apgcode     = xp4_gg0g88bbgz11078c9a7066zy033
|animated         = yes
|viewerconfig     = #C [[ THUMBSIZE 2 ZOOM 20 GPS 2 ]]
|apgcode         = xp4_gg0g88bbgz11078c9a7066zy033
|apgcode2        = xp4_c4owggml56z09f0fghkif0cczy166
|pentadecathlonid = 35P4.10
}}
}}
'''Pinwheel''' (or '''Catherine wheel''') is a [[period]] [[:Category:Oscillators with period 4|4]] [[oscillator]] found by [[:Category:Patterns found by Simon Norton|Simon Norton]] in April [[:Category:Patterns found in 1970|1970]]. It is a [[billiard table configuration]] and possibly the first period 4 oscillator discovered.
'''Pinwheel''' (or '''Catherine wheel'''<ref>{{CiteLexicon|file=lex_c.htm#catherinewheel|name=Catherine wheel|accessdate=December 3, 2018}}</ref>) is a {{period|4}} [[oscillator]] found by [[Simon Norton]] in April {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It is a [[billiard table configuration]] and possibly the first period 4 oscillator discovered. Later, another billiard table [[clock 2]] was found, which has the same stator as pinwheel.


==See also==
On April 22, {{year|2016}}, [[Martin Grant]] provided a [[glider synthesis]] for this oscillator. Using the same precursor, the two routes to pinwheel and clock 2 diverge in the middle.<ref name="post30315" />
*[[Clock 2]]


==External links==
== See also ==
* [[Clock 2]]
* [[Sixty-nine]]
* [[p11 pinwheel]]
 
== References ==
<references>
<ref name="post30315">{{LinkForumThread
|format    = ref
|p          = 30315
|title      = Re: Synthesising Oscillators
|author    = Martin Grant
|date      = April 22, 2016
}}</ref>
</references>
 
== External links ==
{{LinkLexicon|lex_p.htm#pinwheel}}
{{LinkLexicon|lex_p.htm#pinwheel}}
{{LinkCatagolue|xp4_gg0g88bbgz11078c9a7066zy033}}
{{LinkCatagolue|xp4_gg0g88bbgz11078c9a7066zy033}}
{{Symmetry|osc=turn90}}
{{LinkPentadecathlonObject|35P4.10}}
 
__NOTOC__

Latest revision as of 02:50, 18 September 2025

Pinwheel
6b2o4b$6b2o4b2$4b4o4b$2obo4bo3b$2obo2bobo3b$3bo3b2ob2o$3bobo2bob2o$4b 4o4b2$4b2o6b$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ THUMBSIZE 2 ZOOM 20 GPS 2 ]]
View animated image
View static image
Pattern type Oscillator
Oscillator type Billiard table
Family Pinwheel
Number of cells 35
Bounding box 12 × 12
Period 4 (mod: 1)
Heat 4.0
Volatility 0.20 | 0.20
Kinetic symmetry nrk
Discovered by Simon Norton
Year of discovery 1970

Pinwheel (or Catherine wheel[1]) is a period-4 oscillator found by Simon Norton in April 1970.[2] It is a billiard table configuration and possibly the first period 4 oscillator discovered. Later, another billiard table clock 2 was found, which has the same stator as pinwheel.

On April 22, 2016, Martin Grant provided a glider synthesis for this oscillator. Using the same precursor, the two routes to pinwheel and clock 2 diverge in the middle.[3]

See also

References

  1. ↑ "Catherine wheel". The Life Lexicon. Stephen Silver. Retrieved on December 3, 2018.
  2. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  3. ↑ Martin Grant (April 22, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums


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