Highest volatility period-4 oscillators

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	24P4.1		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	long mazing on pre-block	File:Xp4 0ckwi1aoz6k2h07zw1.png	22	44	0.92	0.88
16	fourfold T-nosed p4 with tub in center		60	128	0.91	0.77
17	bone-looking thing		28	56	0.90	0.90
18	octagon 4/5 hybrid		50	112	0.90	0.75
19	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.

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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