Highest volatility period-5 oscillators

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Revision as of 22:41, 20 November 2022 by DroneBetter (talk | contribs) (Add new such oscillator discovered by Charity Engine on 2022-07-22, that has the same volatility as the Octagon 2 already listed here)
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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 Swine Swine.png 86 0.959
4 unnamed Highvolatilityp5-1.png 152 0.950
5 Scot's p5 Scotsp5.png 28 0.939
6 unnamed Highvolatilityp5-2.png 244 0.8714
7 Pentoad 2 Pentoad2.png 26 0.871
8 Pseudo-barberpole Pseudobarberpole.png 15 0.824
9 Voldiag Voldiag.png 100 0.821
10 Nivasch's Pseudo-barberpole Radialpseudobarberpole.png 28 0.813
11 Eppstein's new p5 Eppsteinsnewp5.png 73 0.802
12 Octagon 2 Octagon2.png 16 0.800
12 xp5_y13mi2q0q2im3z1v2gmhe2210122ehmg2v1z0ug2q2sggxggs2q2guz11xhqign0ngiqhx11zy11y51 120 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.