Highest volatility period-4 oscillators
Revision as of 16:37, 24 June 2023 by DroneBetter (talk | contribs) (Add mention (and embed) of reasonably notable agar with finite stabilisations (that just barely misses qualification for the list by the skin of its teeth))
This page lists all known notable or seminatural period-4 oscillators with volatility of at least 0.9.
| Rank | Name | Image | Minimum population | Rotor Size | Volatility | Strict volatility |
|---|---|---|---|---|---|---|
| 1 | Strictly volatile p4 | 416 | 832 | 1.00 | 1.00 | |
| 2 | unnamed | 24 | 58 | 1.00 | 0.96 | |
| 3 | Mazing | 12 | 26 | 1.00 | 0.92 | |
| 4 | unnamed | 48 | 116 | 1.00 | 0.82 | |
| 5 | unnamed (extensible) | 96 | 240 | 0.96 | 0.93 | |
| 6 | unnamed | 38 | 84 | 0.95 | 0.95 | |
| 7 | mazings hassling unnamed inwards or outwards things |
108 | 232 | 0.95 | 0.88 | |
| 8 | 20P4 | 20 | 38 | 0.95 | 0.95 | |
| 9 | antiphase T-nosed octagon 3/5 hybrid | 46 | 122 | 0.93 | 0.81 | |
| 10 | heavyweight other Jack | 48 | 116 | 0.93 | 0.87 | |
| 11 | middleweight other Jack | 44 | 104 | 0.92 | 0.87 | |
| 12 | fourfold T-nosed p4 | 36 | 104 | 0.92 | 0.82 | |
| 13 | fourfold thing mutually stabilising mazing halves | 52 | 104 | 0.92 | 0.78 | |
| 14 | lightweight other Jack | 40 | 92 | 0.92 | 0.88 | |
| 15 | fourfold T-nosed p4 with tub in centre | 60 | 128 | 0.91 | 0.77 | |
| 16 | bone-looking thing | 28 | 56 | 0.90 | 0.90 | |
| 17 | octagon 4/5 hybrid | 50 | 112 | 0.90 | 0.75 | |
| 18 | unnamed with partial mazings at edges | 56 | 108 | 0.90 | 0.80 |
As of 2022-12-25, there have occurred in total 80 distinct period-4 oscillators with volatility at least 0.8 across all symmetries in Catagolue.[1]
Note that there also exists a period-4 8 × 8 gutter-preserving glide-symmetric agar with volatility 17/19=0.8947..., finite stabilisations of which (including a monomerisation) have occurred seminaturally.
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References
- ↑ DroneBetter (December 25, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums