Difference between revisions of "Clock"
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|bx = 4 | |bx = 4 | ||
|by = 4 | |by = 4 | ||
|fc = 19.4 | |||
|p = 2 | |p = 2 | ||
|m = 1 | |m = 1 | ||
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|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 | ||
|plaintext = true | |plaintext = true | ||
|rle = true | |rle = true | ||
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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]]. | '''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 | 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 | * 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 | 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: | | align="center" | [[File:UnknownPattern.png]] | ||
|- | |- | ||
| B4/S1 to B45678/S01245678 | | B4/S1 to B45678/S01245678 | ||
| | | 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 | |||||||||
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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 | ||||||||
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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:
B3/S3 to B35678/S02345678 | B34/S to B345678/S0245678 |
B4/S1 to B45678/S01245678 | B3j/S1 to B2cin3-nq4-j5678/S012-k3-y45678 |
References
- ↑ Achim Flammenkamp (September 7, 2004). "Most seen natural occurring ash objects in Game of Life". Retrieved on January 15, 2009.
- ↑ Adam P. Goucher. "Statistics". Catagolue. Retrieved on June 24, 2016.
See also
External links
- Clock at the Life Lexicon
- 6P2.3 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 19
- Natural periodic objects
- Oscillators with 6 cells
- Periodic objects with minimum population 6
- Patterns with 6 cells
- Patterns found by Simon Norton
- Patterns found in 1970
- Patterns that can be constructed with 4 gliders
- Oscillators
- Clock variants
- Muttering moats
- Oscillators with period 2
- Oscillators with mod 1
- Oscillators with heat 8
- Oscillators with volatility 0.80
- Oscillators with strict volatility 0.80
- Oscillators with rotor Clock
- Patterns with 180-degree rotation symmetry
- Flipping oscillators
- Sparkers
- Weak sparkers
- Sparkers with period 2