Highest volatility period-5 oscillators

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All known period-5 oscillators with volatility of at least 0.8.

Rank Name Image Rotor Size Volatility
1 Statorless p5 Statorlessp5.png 156 1
2 Four-fold variant of Scot's p5 FourfoldvariantofScotsp5.png 292 0.973
3 unnamed Xp5 7k04khf3w3fhk40k7ze20228fcwcf82202e.png 52 0.96875
4 Swine Swine.png 86 0.959
5 unnamed Highvolatilityp5-1.png 152 0.950
6 unnamed Xp5 y4a6hswsh6az0og80s095111w111590s08goz10iijjyajjii01z16241f048y4840f14261zy31lp3fwf3pl1zy61y01.png 96 0.944
7 Scot's p5 Scotsp5.png 28 0.939
8 unnamed Highvolatilityp5-2.png 244 0.8714
9 Pentoad 2 Pentoad2.png 26 0.871
10 unnamed Xp5 y131io84c0c48oi13z350ocxg8sxs8gxco053zwraxhhhy1hhhxarzok036x127x721x630kozy1og93246064239go.png 120 0.8285714...
11 Pseudo-barberpole Pseudobarberpole.png 15 0.824
12 Voldiag Voldiag.png 100 0.821
13 Nivasch's Pseudo-barberpole Radialpseudobarberpole.png 28 0.813
14 unnamed Xp5 y925qzy3o44owfnpos448k8zg8gwooo9hwo44oz0101110s77x11zy3252.png 56 0.8181...
15 Eppstein's new p5 Eppsteinsnewp5.png 73 0.802
16 unnamed Xp5 y13mi2q0q2im3z1v2gmhe2210122ehmg2v1z0ug2q2sggxggs2q2guz11xhqign0ngiqhx11zy11y51.png 120 0.803...
17 Octagon 2 Octagon2.png 16 0.800

For purposes of this table, an extensible oscillator is only represented in its minimal form. This allows for one iteration of the inserted piece, as in Swine and Pentoad 2. Without this restriction oscillators with volatility arbitrarily close to 1 can be constructed by extending Pentoad or Electric fence.

See also