Period 5 oscillators

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Smallest

All known period five oscillators that have one phase of less than 29 on cells
Rank Signature Name Image Rotor Size Volatility
1 015-17-17-25-17 pseudo-barberpole Pseudobarberpole.png 28 .82
2 016-24-16-24-24 octagon 2 Octagon2.png 32 .80
3 017-20-19-21-19 silver's p5 Silversp5.png 19 .63
4 018-22-18-22-22 fumarole Fumarole.png 26 .72
5 020-20-22-22-28 pentoad Pentoad.png 22 .64
6 020-21-22-26-21 elkies' p5 Elkiesp5.png 16 .55
7 021-21-22-22-24 hooks Hooks.png 11 .39
8 023-24-29-27-33 pentoad 1H2 Pentoad1h2.png 38 .79
9 026-26-30-30-40 pentoad with two hexominoes Pentoad with two hexominoes.png 38 .76
10 026-28-26-28-28 heart Heart.png 18 .50
11 026-28-36-32-38 pentoad 2 Pentoad2.png 54 .87
12 028-28-29-29-32 pentant Pentant.png 10 .28
13 028-30-44-34-34 scot's p5 Scotsp5.png 62 .93
14 028-32-32-48-32 nivasch's pseudo-barberpole Radialpseudobarberpole.png 52 .81
15 028-35-31-32-33 5blink 5blink.png 42 .76

Signatures are the population counts for the oscillator, sequenced so that the lowest numbers appear to the left. The first signature number has three digits to facilitate sorting when a table includes larger oscillators. Signature numbers are used to break ties in oscillators of nearly the same size.


Highest volatility

All known period five 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 292 0.973
3 Swine Swine.png 86 0.959
4 Scot's p5 Scotsp5.png 28 0.939
5 Highly volatile p5 1 244 0.8714
6 Pentoad 2 Pentoad2.png 26 0.871
7 Pseudo-barberpole Pseudobarberpole.png 15 0.824
8 Voldiag Voldiag.png 100 0.821
9 Nivasch's Pseudo-barberpole Radialpseudobarberpole.png 28 0.813
10 Eppstein p5 42 0.802
11 Octagon 2 Octagon2.png 16 0.800

For purposes of this table, an extensable 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.