Highest volatility period-7 oscillators

From LifeWiki
Jump to navigation Jump to search

All known period-7 oscillators with volatility of at least 0.55.

Rank Name Image Minpop Rotor Size Volatility
1 unnamed D4_x4 block-loaf hassler 64 150 0.96
2 34P7s hassling unnamed object 90 240 0.95
3 120P7 hassling blinkers 144 392 0.94
4 34P7 34 92 0.94
5 120P7 120 336 0.93
6 p7 pi-heptomino dependent hassler 102 282 0.93
7 Two Josh Ball's p7s supported by 38P7.2s 92 236 0.91
8 Meatball 38 86 0.90
9 Siffrin's p7 37 68 0.90
10 38P7.2 38 72 0.82
11 Josh Ball's p7 60 102 0.76
12 unnamed eater thing 72 100 0.76
13 132P7 132 200 0.73
14 678P7 (population-optimised 672P7 variant) 672 894 0.72
15 O for ball 120 128 0.67
16 62P7 62 84 0.67
17 Unnamed [note 1] 84 96 0.66
18 Unnamed 57 65 0.64
19 138P7 (longer hat-based 131P7 variant) 131 147 0.64
20 Unnamed[note 2] 90 96 0.62
21 Unnamed 120 132 0.61
22 Hebdarole (population-optimised variant of the original dimer variant)[note 3] 100 108 0.61
23 168P7 168 154 0.58
24 heart-looking thing[note 4] 38 34 0.57
25 T-nosed p7 78 67 0.56
26 28P7.3[note 5] 28 26 0.55
27 37P7.1 37 30 0.55

For purposes of this table, an extensible oscillator is only represented in its minimal form, allowing for only one iteration of the inserted piece.

Notes

  1. ↑ see also nicer-bounding-box variant with two more stator cells
  2. ↑ standard and more symmetrical version is one stator cell larger
  3. ↑ The variant depicted here is much worse in the way of spark clearance but you should use the standard hebdarole for that
  4. ↑ It has a seminaturally-occurring tetramerisation with volatility 0.6 (and that, with the formula for 7-colourings of 2 × 2 squares from the Pólya enumeration theorem, can be found to have (722+2*72*(2+1)/2+2*7⌈2/2⌉*2+7⌈22/2⌉+2*7⌈22/4⌉)/(7*8)=58 nonequivalent phase-shiftings).
  5. ↑ Its 42-cell dimerisation has volatility 0.61

See also

Retrieved from "https://conwaylife.com/w/index.php?title=Highest_volatility_period-7_oscillators&oldid=171621"