Difference between revisions of "Clock"

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(→‎In other rules: used isorule.py on the fourth sequence(gif still to be uploaded))
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|bx              = 4
|bx              = 4
|by              = 4
|by              = 4
|fc              = 19.4
|p                = 2
|p                = 2
|m                = 1
|m                = 1
Line 16: Line 17:
|rulemin          = B3/S3
|rulemin          = B3/S3
|rulemax          = B35678/S02345678
|rulemax          = B35678/S02345678
|rulespecial      = [[Conway's Game of Life|Conway Life]]
|rulespecial      = [[Conway's Game of Life|Conway Life]], [[HighLife]]
|isorulemin      = B3jn/S3y
|isorulemax      = B2-a34-j5678/S02345678
|synthesis        = 4
|synthesis        = 4
|synthesisRLE    = true
|synthesisRLE    = true
|life105          = true
|life106          = true
|plaintext        = true
|plaintext        = true
|rle              = true
|rle              = true
Line 30: Line 31:
'''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''' 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]].


Extensions of the oscillator can be seen as stabilisations for the [[zebra stripes]]/[[chicken wire]] agar.
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 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 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>


== In other rules ==
== In other rules ==
In outer-totalistic rules, clock can follow at least 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 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 B3/S3, the outer cells oscillate (this being the sequence seen in Life).
* In rules such as B34/S, it evolves into an inverted version of itself and is therefore 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:
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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|-
|-
| align="center" | [[File:Xp2 2a54 b4s1.gif]]
| align="center" | [[File:Xp2 2a54 b4s1.gif]]
| align="center" | [[File:Xp2 2a54 b3-nqs12-k3-y.gif]]
| align="center" | [[File:UnknownPattern.png]]
|-
|-
| B4/S1 to B45678/S01245678
| B4/S1 to B45678/S01245678
| B3-nq/S12-k3-y to ?
| B3j/S1 to B2cin3-nq4-j5678/S012-k3-y45678
|}
|}


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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}}
__NOTOC__
__NOTOC__
[[Category:Sparkers]]
[[Category:Weak sparkers]]
[[Category:Sparkers with period 2]]

Revision as of 03:28, 9 August 2019

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. 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 surprisingly rare considering its small size.[1] It is also the sixty-second most common object on Adam P. Goucher's Catagolue.[2]

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. Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
  2. Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.

See also

External links

Template:LinkWeisstein