66P106: Difference between revisions
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'''66P106''' is the smallest known {{period|106}} [[oscillator]]. The original form, 115P106, was discovered by [[Nico Brown]] on October 1, {{year|2022}}.<ref name="post151619" /> It | '''66P106''' is the smallest known {{period|106}} [[oscillator]]. The original form, 115P106, was discovered by [[Nico Brown]] on October 1, {{year|2022}}.<ref name="post151619" /> It consisted of an unnamed active region being [[hassle]]d by two [[traffic stop]]s, two [[catalyst]]s that are present in [[AK94]], and four [[eater 1]]s. 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. Even at 115 cells, it was still the smallest known period-106 oscillator. | ||
The active region is mentioned without a name in [[Lifeline Volume 8]], page 5. | The active region is mentioned without a name in [[Lifeline Volume 8]], page 5. | ||
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With regard to the original 115-cell form, a {{gliders|60}} [[Glider synthesis|synthesis]] for 115P106 was found by [[Chris857]] on the day after its discovery<ref name="post151634" /> which was then improved to {{gliders|58|text=58 gliders}}.<ref name="post151699"/> Chris857 also synthesized a smaller and cheaper variant that has two [[fumarole]]s at both ends;<ref name="post151706" /> they remove [[blinker]]s with their domino sparks, but increase the overall period to {{eq|{{times|106|5}}|530}}. | With regard to the original 115-cell form, a {{gliders|60}} [[Glider synthesis|synthesis]] for 115P106 was found by [[Chris857]] on the day after its discovery<ref name="post151634" /> which was then improved to {{gliders|58|text=58 gliders}}.<ref name="post151699"/> Chris857 also synthesized a smaller and cheaper variant that has two [[fumarole]]s at both ends;<ref name="post151706" /> they remove [[blinker]]s with their domino sparks, but increase the overall period to {{eq|{{times|106|5}}|530}}. | ||
== Gallery == | ==Gallery== | ||
{{EmbedViewer | {{EmbedViewer | ||
Revision as of 14:41, 24 September 2023
| 66P106 | |||||||||
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| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Number of cells | 66 | ||||||||
| Bounding box | 36 × 21 | ||||||||
| Period | 106 (mod: 53) | ||||||||
| Heat | 60.7 | ||||||||
| Volatility | 0.89 | 0.78 | ||||||||
| Kinetic symmetry | Unspecified | ||||||||
| Discovered by | Nico 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 Nico Brown on October 1, 2022.[1] It consisted of an unnamed active region being hassled by two traffic stops, two catalysts that are present in AK94, and four eater 1s. 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. Even at 115 cells, it was still the smallest known period-106 oscillator.
The active region is mentioned without a name in Lifeline Volume 8, page 5.
With regard to the original 115-cell form, 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.
Gallery
| The original 115-cell form (click above to open LifeViewer) RLE: here Plaintext: here |
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
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)
Categories:
- Patterns
- Oscillators with 66 cells
- Periodic objects with minimum population 66
- Patterns with 66 cells
- Patterns found by Nico Brown
- Patterns found by Carson Cheng
- Patterns found by iNoMed
- Patterns found in 2022
- Patterns that can be constructed with between 50 and 59 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
- Unnamed periodic objects
- Non-flipping oscillators that turn 180 degrees