Difference between revisions of "Gallus"
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|rulemin = B3/S23 | |rulemin = B3/S23 | ||
|rulemax = B37/S2378 | |rulemax = B37/S2378 | ||
|isorulemin = B3-c/S23-ky | |isorulemin = B3-c/S23-ky | ||
|isorulemax = B34nt5e6ce7/S234cetz5ekn6-ck78 | |isorulemax = B34nt5e6ce7/S234cetz5ekn6-ck78 | ||
Latest revision as of 14:34, 16 January 2026
| Gallus | |||||||||
| View static image | |||||||||
| Pattern type | Oscillator | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Oscillator type | Relay | ||||||||
| Number of cells | 105 | ||||||||
| Bounding box | 39 × 25 | ||||||||
| Period | 98 (mod: 49) | ||||||||
| Heat | 51.96 | ||||||||
| Volatility | 0.94 | 0.37 | ||||||||
| Kinetic symmetry | n.c | ||||||||
| Discovered by | Jeremy Tan | ||||||||
| Year of discovery | 2021 | ||||||||
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Gallus is a period-98 oscillator, being the smallest example of a relay construction using 34P14 shuttles allowing all oscillators of periods 98 + 56n to be constructed with 105 cells. It was found by Jeremy Tan on July 16, 2021,[1] and synthesized with 50 gliders on September 5.[2] On October 3, Matti Ward reduced the synthesis to 45 gliders.[3] On October 30, 2024, KtT lowered the cost to 42 gliders.[4][5]
It may also be stabilised with the 34P7 on either end, for a smaller bounding box[n 1] but the same number of cells.[6] This also allows it to be continued to n = −1, for a period-42 oscillator (Catagolue: here).
| The 34P7 variant, discovered by Entity Valkyrie (click above to open LifeViewer) Catagolue: here |
The underlying reaction can be supported with many oscillators that emit a dot spark or a vertical domino spark, as shown below:
| Gallery of 3-block-1-tub periodic 180-degree reflectors. From top to bottom, left to right:
(click above to open LifeViewer) |
See also
Notes
- ↑ The 34P14 version is x(n)*y(n), where x(n)=39+7*n and y(n)=(25 if n=0 else 23+7*n), for a bounding box of a(n)=(975 if n=0 else 49*n2+434*n+897), whereas the 34P7 version has x(n)=35+7*n and y(n)=(34 if n=-1 else 27 if n=0 else 25+7*n) so a(n)=(952 if n=-1 else 945 if n=0 else 49*n2+420*n+875)
References
- ↑ Jeremy Tan (July 16, 2021). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums
- ↑ Jeremy Tan (September 5, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ Matti Ward (October 3, 2021). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ KtT (October 30, 2024). Re: Synthesising Oscillators (discussion thread) at the ConwayLife.com forums
- ↑ shinjuku (#8227325551) (October 30, 2024). Job triggered by Adam P. Goucher at GitLab Catagolue project.
- ↑ Entity Valkyrie 2 (October 29, 2022). Re: Smallest Known Oscillators to p106 (and Beyond) (discussion thread) at the ConwayLife.com forums
External links
- Patterns
- Oscillators with between 100 and 109 cells
- Periodic objects with minimum population between 100 and 109
- Patterns with between 100 and 109 cells
- Patterns found by Jeremy Tan
- Patterns found in 2021
- Patterns that can be constructed with 42 gliders
- Oscillators
- Relays
- Oscillators with period 98
- Oscillators with mod 49
- Oscillators with heat 51
- Oscillators with volatility 0.94
- Oscillators with strict volatility 0.37
- Oscillators with n.c symmetry