Highest volatility period-8 oscillators

All known period-8 oscillators with volatility of at least 0.8.

Rank	Name	Image	Minpop	Rotor Size	Volatility	Strict volatility
1	Figure eight		12	42	1.00	1.00
2	Kok's galaxy		28	116	1.00	1.00
3	Smiley		17	48	1.00	1.00
4	Figure eights shifting toad (occurred in tetramer)		34	102	1.00	0.96
5	Alukah		84	216	1.00	0.96
6	Cis- and trans-figure eights hassling toad		34	100	1.00	0.96
7	Cis-cis-, cis-trans-, trans-cis-, trans-trans- figure eights hassling blinker (trans-trans- version occurred in tetramer)		32	91	0.99	0.95
8	Wriggly spark-coil-like beehive hassler		52	176	0.97	0.95
9	Circle of Coe's p8s		52	140	0.97	0.94
10	Coe's p8 on figure eight (occurred in dimer)		25	75	0.97	0.97
11	Unnamed		68	172	0.96	0.93
12	Other Jack with T-noses		56	166	0.95	0.17
13	Four Coe's p8s hassling loaves		62	164	0.95	0.95
14	Four Coe's p8s hassling beacons		60	152	0.95	0.95
15	Odd- and even-symmetry two Coe's p8s		26	66	0.94	0.94
16	Blocktopus		156	380	0.94	0.92
17	Cis- and trans-figure eights hassling long barge		34	90	0.93	0.93
18	Two Coe's p8s with blocks interacting with each other's		34	82	0.93	0.93
19	Far and near two Coe's p8s with blocks interacting with single one (that becomes loaf)		38	91	0.92	0.90
20	Trans- and cis-Coe's p8s hassling beacon		32	76	0.92	0.92
21	D8_1 ship and near and far block hassler		136	384	0.92	0.92
22	Fourfold T-nosed p8 hassling interior ships (in-phase, antiphase)		124	384	0.92	0.34
23	Unnamed		96	240	0.90	0.84
24	Coe's p8		17	38	0.90	0.90
25	Achim's p8		18	36	0.90	0.70
26	Blocker		15	34	0.89	0.89
27	Fourfold T-nosed p8 with beacons inside		128	340	0.87	0.15
28	Jill with T-noses		72	166	0.87	0.15
29	Two blockers hassling pond		36	78	0.86	0.86
30	Fourfold T-nosed p8 with four mutually stabilising butterflies inside		136	332	0.85	0.15
31	Eaters eating Kok's galaxy		56	132	0.84	0.84
32	50P8 (Catagolue)		50	94	0.84	0.41
33	Eightfold blinker-dependent low-clearance sparker		128	248	0.82	0.71

Extensible oscillators and infinite sets are noted as such but only listed as their first term, to prevent arbitrarily large ones approaching volatility 1 being listed infinitely many times. Note that the x*y generalisation of the roteightor has 6*(x+y)+28*x*y(18+28)*(x+y) = 14*x*yx+y + 323, but is discounted due to its infinite series' first term not being volatile enough.

See also

• Highest volatility period-5 oscillators
• Highest volatility period-6 oscillators
• Highest volatility period-7 oscillators