Difference between revisions of "Clock"

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{{Oscillator
{{Oscillator
|name         = Clock
|name             = Clock
|pname       = clock
|pname           = clock
|f1         = Muttering moat
|family          = Clock
|family      = Clock
|f1               = Muttering moat
|c           = 6
|c               = 6
|bx           = 4
|bx               = 4
|by           = 4
|by               = 4
|p           = 2
|fc              = 19.4
|m           = 1
|p               = 2
|h           = 8
|m               = 1
|v           = 0.80
|h               = 8
|rotor = Clock
|v               = 0.80
|discoverer   = Simon Norton
|rotor           = Clock
|discoveryear = 1970
|discoverer       = Simon Norton
|rulemin     = B3/S3
|discoveryear     = 1970
|rulemax     = B35678/S02345678
|rulemin         = B3/S3
|rulespecial = [[Conway's Game of Life|Conway Life]]
|rulemax         = B35678/S02345678
|synthesis   = 4
|rulespecial     = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|synthesisRLE = true
|isorulemin      = B3jn/S3y
|life105      = true
|isorulemax      = B2-a34-j5678/S02345678
|life106      = true
|synthesis       = 4
|plaintext    = true
|synthesisRLE     = true
|rle          = true
|plaintext        = true
|animated     = true
|rle              = true
|viewerconfig = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
|apgcode          = xp2_2a54
|pentadecathlonid      = 6P2.3
|pentadecathlonid = 6P2.3
|apgcode      = xp2_2a54
|animated         = true
|viewerconfig     = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
}}
}}
'''Clock''' was found by [[:Category:Patterns found by Simon Norton|Simon Norton]] in May [[:Category:Patterns found in 1970|1970]]. It serves as the logo pattern for [[WinLifeSearch]].
'''Clock''' is a {{period|2}} [[oscillator]] found by [[Simon Norton]] in May {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> Expansions of the oscillator can be seen as stabilisations for the [[zebra stripes]]/[[chicken wire]] agar - such extensions may lose symmetry.


Extensions of the oscillator can be seen as stabilisations for the [[zebra stripes]]/[[chicken wire]] agar.
Clock can also serve as a weak [[sparker]] - although the edge cells cannot birth new cells without being destroyed, they can be used to suppress cell birth by overpopulation, as seen in [[p124 lumps of muck hassler]].
 
The rotor is identical to that of [[quad]].
 
It serves as the logo of [[WinLifeSearch]].


==[[List of common oscillators|Commonness]]==
==[[List of common oscillators|Commonness]]==
Clock is the fifth or sixth most [[common]] [[oscillator]] in [[Achim Flammenkamp's census]], being about as frequent as the [[pentadecathlon]], but much less frequent than the [[blinker]], [[toad]], [[beacon]] or [[pulsar]]. It is surprisingly rare considering its small size.<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the sixty-second most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>
Clock is the sixth most [[common]] oscillator in [[Achim Flammenkamp's census]], being somewhat less frequent than the [[pentadecathlon]], but much rarer than the [[blinker]], [[toad]], [[beacon]] or [[pulsar]]. It is by far the rarest {{cells|6}}-bit object, being about 45 times rarer than the [[snake]].<ref>{{citeAchim|accessdate=January 15, 2009}}</ref> It is also the sixty-second most common object on [[Adam P. Goucher]]'s [[Catagolue]].<ref>{{citeCatagolueStats|June 24, 2016}}</ref>


== In other rules ==
== In other rules ==
Interestingly, clock can follow three different p2 cycles depending on the rule.
In [[outer-totalistic]] rules, clock can follow at least three different p2 cycles depending on the rule, which all have mod 1.
 
* In rules such as B4/S1 the inner two cells oscillate similarly to a [[duoplet]] in [[Seeds]].
* In rules such as B3/S3, the outer cells oscillate (this being the sequence seen in Life).
* In rules such as B34/S, both of these evolutions take place simultaneously, causing it to evolve into an inverted version of itself and therefore making it a [[phoenix]].


* In rules such as B4/S1 the inner two cells oscillate similarly to a [[duoplet]] in [[Seeds]],
This gives three different p2 sequences:


* In rules such as B3/S3, the outer cells oscillate (this being the sequence seen in Life),
{| style="margin-left: auto; margin-right: auto;" class="wikitable"
|+ Evolution of the clock across different rules
|-
| align="center" | [[File:Xp2 2a54 b3s23.gif]]
| align="center" | [[File:Xp2 2a54 b34s.gif]]
| align="center" | [[File:Xp2 2a54 b4s1.gif]]
|-
| B3/S3 to B35678/S02345678
| B34/S to B345678/S0245678
| B4/S1 to B45678/S01245678
|}


* In rules such as B34/S, it evolves into an inverted version of itself and is therefore a [[phoenix]].
Further sequences are possible in [[non-totalistic Life-like cellular automaton|non-totalistic rules]]; for instance, in B3j/S1, clock cycles with one phase of [[toad]].


==References==
==References==
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*[[Clock 2]]
*[[Clock 2]]
*[[Cha cha]]
*[[Cha cha]]
*[[Clock insertion]]


==External links==
==External links==
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{{LinkLexicon|filename=lex_c.htm#clock}}
{{LinkLexicon|filename=lex_c.htm#clock}}
{{LinkCatagolue|xp2_2a54}}
{{LinkCatagolue|xp2_2a54}}
{{LinkPentadecathlonObject|6P2.3}}


{{Symmetry|180degree|osc=flip}}
{{Symmetry|180degree|osc=flip}}
{{Sparker|p=2|type=dot|strength=weak}}
__NOTOC__
__NOTOC__

Revision as of 17:55, 13 November 2020

Clock
2bo$obo$bobo$bo! #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
Oscillator type Muttering moat
Family Clock
Number of cells 6
Bounding box 4 × 4
Frequency class 19.4
Period 2
Mod 1
Heat 8
Volatility 0.80
Strict volatility 0.80
Rotor type Clock
Discovered by Simon Norton
Year of discovery 1970

Clock is a period-2 oscillator found by Simon Norton in May 1970.[1] Expansions of the oscillator can be seen as stabilisations for the zebra stripes/chicken wire agar - such extensions may lose symmetry.

Clock can also serve as a weak sparker - although the edge cells cannot birth new cells without being destroyed, they can be used to suppress cell birth by overpopulation, as seen in p124 lumps of muck hassler.

The rotor is identical to that of quad.

It serves as the logo of WinLifeSearch.

Commonness

Clock is the sixth most common oscillator in Achim Flammenkamp's census, being somewhat less frequent than the pentadecathlon, but much rarer than the blinker, toad, beacon or pulsar. It is by far the rarest 6-bit object, being about 45 times rarer than the snake.[2] It is also the sixty-second most common object on Adam P. Goucher's Catagolue.[3]

In other rules

In outer-totalistic rules, clock can follow at least three different p2 cycles depending on the rule, which all have mod 1.

  • In rules such as B4/S1 the inner two cells oscillate similarly to a duoplet in Seeds.
  • In rules such as B3/S3, the outer cells oscillate (this being the sequence seen in Life).
  • In rules such as B34/S, both of these evolutions take place simultaneously, causing it to evolve into an inverted version of itself and therefore making it a phoenix.

This gives three different p2 sequences:

Evolution of the clock across different rules
Xp2 2a54 b3s23.gif Xp2 2a54 b34s.gif Xp2 2a54 b4s1.gif
B3/S3 to B35678/S02345678 B34/S to B345678/S0245678 B4/S1 to B45678/S01245678

Further sequences are possible in non-totalistic rules; for instance, in B3j/S1, clock cycles with one phase of toad.

References

  1. ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
  2. ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  3. ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.

See also

External links

Template:LinkWeisstein


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