66P106
| 66P106 | |||||||||
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| Pattern type | Oscillator | ||||||||
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| Number of cells | 66 | ||||||||
| Bounding box | 36 × 21 | ||||||||
| Period | 106 (mod: 53) | ||||||||
| Heat | 60.7 | ||||||||
| Volatility | 0.89 | 0.78 | ||||||||
| Kinetic symmetry | n.e | ||||||||
| Discovered by | Nora Brown Carson Cheng iNoMed | ||||||||
| Year of discovery | 2022 | ||||||||
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66P106 is the smallest known period-106 oscillator.
The original form, 115P106, was discovered by Nora Brown on October 1, 2022.[1] In the oscillator, an unnamed reaction is hassled by two traffic stops, two traffic light eaters that are present in AK94, and four eater 1s. With minimum population 115 cells, it became the smallest known period-106 oscillator, beating the record previously held by the 169-cell p106 rectifier loop.
On September 24, 2023, Carson Cheng found a period-2 traffic light catalyst consisting of a toad, a clock, and a transparent blinker, which iNoMed used to reduce the oscillator from 115 cells to 66.
An eight-bit predecessor of the engine is mentioned without a name in Lifeline Volume 8, page 5.
| 115P106, the original 115-cell form (click above to open LifeViewer) RLE: here Plaintext: here Catagolue: here |
Glider synthesis
A 60-glider synthesis for 115P106 was found by Chris857 on the day after its discovery[2] which was then improved to 58 gliders.[3] Chris857 also synthesized a smaller and cheaper variant that has two fumaroles at both ends;[4] they remove blinkers with their domino sparks, but increase the overall period to 106 × 5 = 530.
On September 25, 2023, Chris857 found a 33-glider synthesis of 66P106, which he quickly improved to 32 gliders.[5][6][7] KtT lowered the cost of 66P106 to 29 gliders on April 29, 2025.[8][9]
References
- ↑ Carson Cheng (October 1, 2022). Re: Oscillator Discoveries Thread (discussion thread) at the ConwayLife.com forums
- ↑ Chris857 (October 2, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Chris857 (October 3, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Chris857 (October 3, 2022). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Chris857 (September 17, 2023). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#5154514610) (September 25, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ shinjuku (#5162438422) (September 26, 2023). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ KtT (April 29, 2025). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#9864040332) (April 29, 2025). Job triggered by Adam P. Goucher at GitLab Catagolue project.
External links
- 66P106 at Adam P. Goucher's Catagolue
- 115P106 at Adam P. Goucher's Catagolue
- 88P530 at Adam P. Goucher's Catagolue (fumarole-supported version of 115P106)
- Patterns
- Oscillators with 66 cells
- Periodic objects with minimum population 66
- Patterns with 66 cells
- Patterns found by Nora Brown
- Patterns found by Carson Cheng
- Patterns found by iNoMed
- Patterns found in 2022
- Patterns that can be constructed with 29 gliders
- Outer-totalistically endemic patterns
- Oscillators
- Oscillators with period 106
- Oscillators with mod 53
- Oscillators with heat 60
- Oscillators with volatility 0.89
- Oscillators with strict volatility 0.78
- Oscillators with n.e symmetry
- Unnamed periodic objects