Clock

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.

Clock
<html><div class="rle"><div class="codebox"><div style="display:none;"><code></html>2bo$obo$bobo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] <nowiki>#C [[ LOOP 2 GPS 2 THUMBSIZE 2 ]]</nowiki> <html></code></div></div><canvas width="200" height="300" style="margin-left:1px;"><noscript></html> <html></noscript></canvas></div></html>
View animated image
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

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.

This gives three different p2 sequences:

Evolution of the clock across different rules
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.

gollark: I wonder why TJ09 imposes these naming rules.
gollark: LOL with 10 spaces between each letter?
gollark: Name them VIK-001, VIK-002, VIK-003…
gollark: (One of my dragons is called that)
gollark: The Future™

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
  • 6P2.3 at Heinrich Koenig's Game of Life Object Catalogs
This article is issued from Conwaylife. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.