Clock: Difference between revisions
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* 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 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 B3-nq/S12-k3-y, clock cycles with one phase of [[toad]]. This gives at least four different p2 sequences: | ||
Revision as of 14:00, 16 September 2017
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Muttering moat | ||||||||
| Family | Clock | ||||||||
| Number of cells | 6 | ||||||||
| Bounding box | 4 × 4 | ||||||||
| Period | 2 (mod: 1) | ||||||||
| Heat | 8 | ||||||||
| Volatility | 0.80 | 0.80 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| 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.
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.[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.
- 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 B3-nq/S12-k3-y, clock cycles with one phase of toad. This gives at least four different p2 sequences:
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| B3/S3 to B35678/S02345678 | B34/S to B345678/S0245678 |
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| B4/S1 to B45678/S01245678 | B3-nq/S12-k3-y to ? |
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
- Patterns
- 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