Highest volatility period-8 oscillators

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

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