Pinwheel: Difference between revisions
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{{Oscillator|p=4| | {{Oscillator | ||
'''Pinwheel''' (or '''Catherine wheel''') is a | |name = Pinwheel | ||
|pname = pinwheel | |||
|family = Pinwheel | |||
|f1 = Billiard table | |||
|c = 35 | |||
|bx = 12 | |||
|by = 12 | |||
|p = 4 | |||
|m = 1 | |||
|h = 4.0 | |||
|v = 0.20 | |||
|sv = 0.20 | |||
|symmetry = nrk | |||
|discoverer = Simon Norton | |||
|discoveryear = 1970 | |||
|rulemin = B3/S23 | |||
|rulemax = B3678/S0235678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|isorulemin = B3ik/S2ik3aeinr | |||
|isorulemax = B2in34-intw5aceiy678/S01e234-n5678 | |||
|synthesis = 160 | |||
|synthesis2 = 112 | |||
|synthesisRLE = true | |||
|plaintext = true | |||
|rle = true | |||
|animated = yes | |||
|viewerconfig = #C [[ THUMBSIZE 2 ZOOM 20 GPS 2 ]] | |||
|apgcode = xp4_gg0g88bbgz11078c9a7066zy033 | |||
|apgcode2 = xp4_c4owggml56z09f0fghkif0cczy166 | |||
|pentadecathlonid = 35P4.10 | |||
}} | |||
'''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. | |||
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" /> | |||
== | == 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}} | |||
{{LinkCatagolue|xp4_gg0g88bbgz11078c9a7066zy033}} | |||
{{LinkPentadecathlonObject|35P4.10}} | |||
__NOTOC__ | |||
Latest revision as of 02:50, 18 September 2025
| Pinwheel | |||||||||||||||
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| 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 | ||||||||||||||
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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
- ↑ "Catherine wheel". The Life Lexicon. Stephen Silver. Retrieved on December 3, 2018.
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ Martin Grant (April 22, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
External links
- Pinwheel at the Life Lexicon
- 35P4.10 at Heinrich Koenig's Game of Life Object Catalogs
Categories:
- Patterns
- Oscillators with 35 cells
- Periodic objects with minimum population 35
- Patterns with 35 cells
- Patterns found by Simon Norton
- Patterns found in 1970
- Patterns that can be constructed with between 100 and 199 gliders
- Oscillators
- Pinwheel variants
- Billiard tables
- Oscillators with period 4
- Oscillators with mod 1
- Oscillators with heat 4
- Oscillators with volatility 0.20
- Oscillators with strict volatility 0.20
- Oscillators with nrk symmetry