Period 5 oscillators
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 | 28 | .82 | |
2 | 016-24-16-24-24 | octagon 2 | 32 | .80 | |
3 | 017-20-19-21-19 | silver's p5 | 19 | .63 | |
4 | 018-22-18-22-22 | fumarole | 26 | .72 | |
5 | 020-20-22-22-28 | pentoad | 22 | .64 | |
6 | 020-21-22-26-21 | elkies' p5 | 16 | .55 | |
7 | 021-21-22-22-24 | hooks | 11 | .39 | |
8 | 023-24-29-27-33 | pentoad 1H2 | 38 | .79 | |
9 | 026-26-30-30-40 | pentoad with two hexominoes | 38 | .76 | |
10 | 026-28-26-28-28 | heart | 18 | .50 | |
11 | 026-28-36-32-38 | pentoad 2 | 54 | .87 | |
12 | 028-28-29-29-32 | pentant | 10 | .28 | |
13 | 028-30-44-34-34 | scot's p5 | 62 | .93 | |
14 | 028-32-32-48-32 | nivasch's pseudo-barberpole | 52 | .81 | |
15 | 028-35-31-32-33 | 5blink | 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 | 156 | 1 | |
2 | Four-fold variant of Scot's p5 | 292 | 0.973 | |
3 | Swine | 86 | 0.959 | |
4 | Scot's p5 | 28 | 0.939 | |
5 | Highly volatile p5 1 | 244 | 0.8714 | |
6 | Pentoad 2 | 26 | 0.871 | |
7 | Pseudo-barberpole | 15 | 0.824 | |
8 | Voldiag | 100 | 0.821 | |
9 | Nivasch's Pseudo-barberpole | 28 | 0.813 | |
10 | Eppstein p5 | 42 | 0.802 | |
11 | Octagon 2 | 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.
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