Highest volatility period-4 oscillators

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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 Strictlyvolatilep4.png 416 832 1.00 1.00
2 unnamed Xp4 g880anziaw5kze5011.png 24 58 1.00 0.96
3 Mazing Mazing.png 12 26 1.00 0.92
4 unnamed Xp4 0ggs43060426e8oz0jly7k51z22c8og0g0gwgs67zy0111w103.png 48 116 1.00 0.82
5 unnamed (extensible) Xp4 0g8422k2bwb2k2248gz8d282c813w318c282d8z2m82862gowog26828m2z01248858qwq8588421.png 96 240 0.96 0.93
6 unnamed Xp4 y1g86368gz4a0r0hy1h0r0a4zy112coc21.png 38 84 0.95 0.95
7 mazings hassling unnamed
inwards or outwards things
Xp4 ssj37440c0sg0gs0c04473jsszwb8y3121y38bzwhhra4y74arhhzwq2y3g8gy32qz77pos440607101706044sop77.png
Xp4 ggg07ssw8e89198e8wss70gggzw3j3yd3j3zs11nyfn11sz0227yf722z4473jssw8o88088o8wssj3744zy03y11022201y13.png
108 232 0.95 0.88
8 20P4 20p4.png 20 38 0.95 0.95
9 antiphase T-nosed octagon 3/5 hybrid Xp4 y5e7ezggoxsqmeeemqsxoggzw1x356777653x1zy57e7.png 46 122 0.93 0.81
10 heavyweight other Jack Xp4 8cf3jggggj3fc8zy0pvvvvpz13fccy0ccf31.png 48 116 0.93 0.87
11 middleweight other Jack Xp4 8cf3jgggj3fc8zy0pvvvpz13fccxccf31.png 44 104 0.92 0.87
12 fourfold T-nosed p4 Xp4 y1g9b9gze40ehy1he04ezy11iqi1.png 36 104 0.92 0.82
13 fourfold thing mutually stabilising mazing halves Xp4 0scngw8ooq6e88zx73l0h0losz22ecb332w1t67.png 52 104 0.92 0.78
14 lightweight other Jack Xp4 8cf3jggj3fc8zy0pvvpz13fccwccf31.png 40 92 0.92 0.88
15 fourfold T-nosed p4 with tub in centre Xp4 y381b18zog0k02t2iai2t20k0goz1w204b44544b402w1zy318d81.png 60 128 0.91 0.77
16 bone-looking thing Xp4 y5a12cozgw8cc42331z13485.png 28 56 0.90 0.90
17 octagon 4/5 hybrid Xp4 y3e7ezg8wsqmeeemqsw8gz12w7bdeeedb7w21zy3ese.png 50 112 0.90 0.75
18 unnamed with partial mazings at edges Xp4 ggg074osornzgg5uuy2vu933z11101qm6e68o0322zy111y01.png 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.

x = 16, y = 16, rule = B3/S23:T16,16 bo3bo3bo3bo$ob3obobob3obo$bobo7bobo$b2obo5bob2o$bobo2bobo2bobo$o5bobo5bo$bo2b2o3b2o2bo2$bo2b2o3b2o2bo$o5bobo5bo$bobo2bobo2bobo$b2obo5bob2o$bobo7bobo$ob3obobob3obo$bo3bo3bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 X -0.5 Y -0.5 WIDTH 600 HEIGHT 600 ZOOM 40 GPS 2 THEME Book AUTOSTART ]]
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References

  1. DroneBetter (December 25, 2022). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums