Cyclic
| Cyclic | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Oscillator type | Billiard table | ||||||||
| Number of cells | 32 | ||||||||
| Bounding box | 10 × 10 | ||||||||
| Frequency class | 42.5 | ||||||||
| Period | 2 (mod: 2) | ||||||||
| Heat | 8 | ||||||||
| Volatility | 0.22 | 0.22 | ||||||||
| Kinetic symmetry | xk | ||||||||
| Rotor type | Diagonal on-off | ||||||||
| Discovered by | Ian Osgood | ||||||||
| Year of discovery | 2006 | ||||||||
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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]
Another predecessor consists of a lake 2 with a duoplet in the middle, which is also frequently rediscovered.
| Cyclic predecessor (click above to open LifeViewer) RLE: here Plaintext: here |
| Another cyclic predecessor (click above to open LifeViewer) |
A 10-glider synthesis for this oscillator was found by Goldtiger997 on July 6, 2016.[3] On May 11, 2025, Mitchell Riley used a hacked QuFince fork to lower the cost from 9 gliders to 8 gliders.[4]
See also
References
- ↑ New P2 Oscillators at Game of Life News. Posted by Heinrich Koenig on March 1, 2006.
- ↑ bubblegum (February 6, 2021). Re: Thread For Your Useless Discoveries (discussion thread) at the ConwayLife.com forums
- ↑ Goldtiger997 (July 6, 2016). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Mitchell Riley (May 11, 2025). Re: Still Life Synthesis Thread (discussion thread) at the ConwayLife.com forums
External links
- Cyclic at Adam P. Goucher's Catagolue
- 32P2.15192 at Heinrich Koenig's Game of Life Object Catalogs
- Patterns
- Patterns with Catagolue frequency class 42
- Natural periodic objects
- Oscillators with 32 cells
- Periodic objects with minimum population 32
- Patterns with 32 cells
- Patterns found by Ian Osgood
- Patterns found in 2006
- Patterns that can be constructed with 8 gliders
- Oscillators
- Billiard tables
- Oscillators with period 2
- Oscillators with mod 2
- Oscillators with heat 8
- Oscillators with volatility 0.22
- Oscillators with strict volatility 0.22
- Oscillators with xk symmetry
- Oscillators with rotor Diagonal on-off