Cyclic

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Cyclic
4b2o$3bo2bo$3bob2o$b2o2bob2o$o5b2obo$ob2o5bo$b2obo2b2o$3b2obo$3bo2bo$ 4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ LOOP 2 THUMBSIZE 2 HEIGHT 480 GPS 2 ]]
Pattern type Oscillator
Oscillator type Muttering moat
Billiard table
Number of cells 32
Bounding box 10 × 10
Frequency class 42.5
Period 2
Mod 2
Heat 8
Volatility 0.22
Strict volatility 0.22
Rotor type Diagonal on-off
Discovered by Unknown
Year of discovery Unknown

Cyclic is a period-2 oscillator that resembles both a bakery and the rotor of the great on-off and eater plug. It was reported by Ian Osgood in 2006 and recognized as a new casing for a previously known oscillator, 32P2.15181.[1]

One predecessor consists entirely of a bakery plus two diagonally adjacent cells added in the middle, as shown below. Due to the simplicity of this predecessor, the oscillator is sometimes referred to as the "most rediscovered pattern" in Conway's Game of Life.[2]

x = 10, y = 10, rule = B3/S23 4b2o$3bo2bo$3bobo$b2obo3bo$o2b2o2bobo$obo2b2o2bo$bo3bob2o$4bobo$3bo2bo $4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Cyclic predecessor
(click above to open LifeViewer)
RLE: here Plaintext: here

A 10-glider synthesis for this oscillator was found by Goldtiger997 on July 6, 2016.[3]

See also

References

  1. Heinrich Koenig‏‎ (March 1, 2006). "New P2 Oscillators". Game of Life News. Retrieved on April 1, 2021.
  2. bubblegum (February 6, 2021). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
  3. Goldtiger997 (July 6, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums

External links