Clock 2: Difference between revisions

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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|name=Clock 2|pname=clock2|p=4|h=4|v=0.20|c=35|bx=12|by=12|life105=true|life106=true|plaintext=true|rle=true|animated=yes|rulespecial=[[Conway's Game of Life|Conway Life]]|rulemin=B3/S23|rulemax=B3678/S0235678}}
{{Oscillator
'''Clock 2''' is a [[period]] [[:Category:Oscillators with period 4|4]] [[oscillator]]. It is a [[billiard table configuration]] with the same [[stator]] as [[pinwheel]].
|name             = Clock 2
|pname           = clock2
|f1              = Billiard table
|family          = Pinwheel
|c               = 35
|bx               = 12
|by               = 12
|p                = 4
|m                = 1
|h                = 4
|v                = 0.20
|sv              = 0.20
|symmetry        = nrk
|rulemin          = B3/S23
|rulemax          = B3678/S0235678
|rulespecial     = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B3ij/S2ik3aenr
|isorulemax      = B1e2ikn34-intw5-knqr678/S01c234-n5678
|synthesis        = 136
|synthesis2      = 117
|synthesisRLE    = true
|plaintext        = true
|rle              = true
|animated        = yes
|viewerconfig    = #C [[ LOOP 4 GPS 2 THUMBSIZE 2 ]]
|apgcode          = xp4_gg0g88bbgz1107899a7066zy033
|apgcode2        = xp4_w3iab88gz6607899a7066zy233
|pentadecathlonid = 35P4.11
}}
'''Clock 2''' is a {{period|4}} [[oscillator]]. It is a [[billiard table configuration]] with 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 clock 2 and pinwheel diverge in the middle.<ref name="post30315" />
*[[Clock]]


==External links==
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>
{{LinkLexicon|lex_c.htm#clock2}}
{{EmbedViewer
{{LinkCatagolue|xp4_gg0g88bbgz1107899a7066zy033}}
|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
}}


[[Category:Billiard table configurations]]


{{Symmetry|osc=turn90}}
== 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
6b2o4b$6b2o4b2$4b4o4b$2obo4bo3b$2obo2bobo3b$3bo2bobob2o$3bobo2bob2o$4b 4o4b2$4b2o6b$4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 4 GPS 2 THUMBSIZE 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

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]

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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 WIDTH 640 HEIGHT 640 ZOOM 40 LOOP 4 GPS 2 AUTOSTART ]]
self-forcing clock 2 agar
(click above to open LifeViewer)


See also

References

  1. ↑ Martin Grant (April 22, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
  2. ↑ mu.sicman (400spartans) (January 27, 2024). Message in #cgol on the Conwaylife Lounge Discord server
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