Clock 2: Difference between revisions
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DroneBetter (talk | contribs) m note 400spartans' self-forcing clock 2 agar (if this is already known, attribution should be kept for the discovery of its self-forcingness) |
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{{Oscillator | {{Oscillator | ||
|name | |name = Clock 2 | ||
|pname | |pname = clock2 | ||
|f1 | |f1 = Billiard table | ||
|family | |family = Pinwheel | ||
|c | |c = 35 | ||
|bx | |bx = 12 | ||
|by | |by = 12 | ||
|p | |p = 4 | ||
|m | |m = 1 | ||
|h | |h = 4 | ||
|v | |v = 0.20 | ||
|sv | |sv = 0.20 | ||
|rulemin | |symmetry = nrk | ||
|rulemax | |rulemin = B3/S23 | ||
|rulemax = B3678/S0235678 | |||
|rulespecial = [[Conway's Game of Life|Conway Life]], [[HighLife]] | |||
|rulespecial | |isorulemin = B3ij/S2ik3aenr | ||
| | |isorulemax = B1e2ikn34-intw5-knqr678/S01c234-n5678 | ||
| | |synthesis = 136 | ||
|plaintext | |synthesis2 = 117 | ||
|rle | |synthesisRLE = true | ||
|animated | |plaintext = true | ||
|viewerconfig = #C [[ LOOP 4 GPS 2 THUMBSIZE 2 ]] | |rle = true | ||
|apgcode | |animated = yes | ||
|viewerconfig = #C [[ LOOP 4 GPS 2 THUMBSIZE 2 ]] | |||
|apgcode = xp4_gg0g88bbgz1107899a7066zy033 | |||
|apgcode2 = xp4_w3iab88gz6607899a7066zy233 | |||
|pentadecathlonid = 35P4.11 | |||
}} | }} | ||
'''Clock 2''' is a | '''Clock 2''' is a {{period|4}} [[oscillator]]. It is a [[billiard table configuration]] with 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 clock 2 and pinwheel diverge in the middle.<ref name="post30315" /> | |||
== | On January 27, 2024, [[400spartans]] showed that an agar containing clock 2 rotors is [[self-forcing]], so has no predecessors which are agars of the same spatial period.<ref>{{CiteDiscord|channel=cgol|id=1333565278071820288|author=mu.sicman (400spartans)|date=January 27, 2024}}</ref> | ||
{{ | {{EmbedViewer | ||
{{ | |rle = x = 16, y = 16, rule = B3/S23:T16,16 | ||
obo2bo2bobo2bo$2b4obo2b4obo$2o4b4o4b2o$bo2bo4bo2bo$bo2bobo2bo2bobo$2obo2b4obo2b2o$2b4o4b4o$o4bo2bo4bo$obo2bo2bobo2bo$2b4obo2b4obo$2o4b4o4b2o$bo2bo4bo2bo$bo2bobo2bo2bobo$2obo2b4obo2b2o$2b4o4b4o$o4bo2bo4bo! | |||
|position = center | |||
|viewerconfig = #C [[ THUMBSIZE 4 WIDTH 640 HEIGHT 640 ZOOM 40 LOOP 4 GPS 2 AUTOSTART ]] | |||
|caption = self-forcing clock 2 agar | |||
}} | |||
== See also == | |||
* [[Clock]] | |||
* [[Sixty-nine]] | |||
== 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_c.htm#clock2}} | |||
* {{LinkCatagolue|xp4_gg0g88bbgz1107899a7066zy033}} | |||
* {{LinkPentadecathlonObject|35P4.11}} | |||
Latest revision as of 23:10, 27 January 2025
| Clock 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 | ||||||||||||||
| Volatility | 0.20 | 0.20 | ||||||||||||||
| Kinetic symmetry | nrk | ||||||||||||||
| Discovered by | Unknown | ||||||||||||||
| Year of discovery | Unknown | ||||||||||||||
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Clock 2 is a period-4 oscillator. It is a billiard table configuration with 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 clock 2 and pinwheel diverge in the middle.[1]
On January 27, 2024, 400spartans showed that an agar containing clock 2 rotors is self-forcing, so has no predecessors which are agars of the same spatial period.[2]
| self-forcing clock 2 agar (click above to open LifeViewer) |
See also
References
- ↑ Martin Grant (April 22, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ mu.sicman (400spartans) (January 27, 2024). Message in #cgol on the Conwaylife Lounge Discord server
External links
- Clock 2 at the Life Lexicon
- Clock 2 at Adam P. Goucher's Catagolue
- 35P4.11 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 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