Clock
| 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 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.
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.
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:
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| B3/S3 to B35678/S02345678 | B34/S to B345678/S0245678 |
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| B4/S1 to B45678/S01245678 | B3j/S1 to B2cin3-nq4-j5678/S012-k3-y45678 |
References
- ↑ Dean Hickerson's oscillator stamp collection. Retrieved on March 14, 2020.
- ↑ 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
- Sparkers with period 2
- Dot sparkers
- Weak sparkers