Difference between revisions of "Clock"

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|viewerconfig    = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
 
|viewerconfig    = #C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]
 
}}
 
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'''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]].
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'''Clock''' was found by [[Simon Norton]] in May {{year|1970}}.<ref>{{CiteHickersonOscillators|accessdate=March 14, 2020}}</ref> It serves as the logo pattern for [[WinLifeSearch]].
  
 
Extensions of the oscillator can be seen as stabilisations for the [[zebra stripes]]/[[chicken wire]] agar - such extensions lose symmetry.
 
Extensions of the oscillator can be seen as stabilisations for the [[zebra stripes]]/[[chicken wire]] agar - such extensions lose symmetry.
  
 
==[[List of common oscillators|Commonness]]==
 
==[[List of common oscillators|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 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>
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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 ==
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* 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 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]].
  
Further sequences are possible in [[non-totalistic Life-like cellular automaton|non-totalistic rules]]; for instance, in B3-nq/S12-k3-y, clock cycles with one phase of [[toad]]. This gives at least four different p2 sequences:
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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]]. This gives at least four different p2 sequences:
  
 
{| style="margin-left: auto; margin-right: auto;" class="wikitable"
 
{| style="margin-left: auto; margin-right: auto;" class="wikitable"
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|-
 
|-
 
| B4/S1 to B45678/S01245678
 
| B4/S1 to B45678/S01245678
| B3-nq/S12-k3-y to ?
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| B3j/S1 to B2cin3-nq4-j5678/S012-k3-y45678
 
|}
 
|}
  
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{{Symmetry|180degree|osc=flip}}
 
{{Symmetry|180degree|osc=flip}}
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{{Sparker|p=2|type=dot|strength=weak}}
 
__NOTOC__
 
__NOTOC__
[[Category:Sparkers]]
 
[[Category:Weak sparkers]]
 
[[Category:Sparkers with period 2]]
 

Latest revision as of 15:28, 15 March 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 ]]
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 was found by Simon Norton in May 1970.[1] It serves as the logo pattern for WinLifeSearch.

Extensions of the oscillator can be seen as stabilisations for the zebra stripes/chicken wire agar - such extensions lose symmetry.

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.

Further sequences are possible in non-totalistic rules; for instance, in B3j/S1, clock cycles with one phase of toad. This gives at least four different p2 sequences:

Evolution of the clock across different rules
Xp2 2a54 b3s23.gif Xp2 2a54 b34s.gif
B3/S3 to B35678/S02345678 B34/S to B345678/S0245678
Xp2 2a54 b4s1.gif UnknownPattern.png
B4/S1 to B45678/S01245678 B3j/S1 to B2cin3-nq4-j5678/S012-k3-y45678

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

  • 6P2.3 at Heinrich Koenig's Game of Life Object Catalogs