Clock

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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 is a period-2 oscillator found by Simon Norton in May 1970.[1]

Clock can also serve as a weak sparker - although the edge cells cannot birth new cells without being destroyed, they can be used to suppress cell birth by overpopulation, as seen in p124 lumps of muck hassler.

It serves as the logo of WinLifeSearch.

Relatives

The clock is a part of a family of p2 oscillators that can be seen as stabilisations for the zebra stripes/chicken wire agar. Such extensions may lose symmetry. The next most simple oscillator in the family is cha cha.

Chacha.png
cha cha
(long clock)
Verylongclock.png
Very long clock

The rotor of clock is a muttering moat and is identical to that of quad.

Commonness

Main article: List of common oscillators

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]

Glider synthesis

All strict still lifes with a population of 20 or fewer cells, as well as all oscillators and spaceships with 16 or fewer cells, are known to be glider-constructible. A glider synthesis of this object can be found in the infobox to the right.

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.

This gives three different p2 sequences:

Evolution of the clock across different rules
Xp2 2a54 b3s23.gif Xp2 2a54 b34s.gif Xp2 2a54 b4s1.gif
B3/S3 to B35678/S02345678 B34/S to B345678/S0245678 B4/S1 to B45678/S01245678

Further sequences are possible in non-totalistic rules; for instance, in B3j/S1, clock cycles with one phase of toad.

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