Small period-5 oscillators

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All known period-5 oscillators (not counting stator variants) that have one phase of less than 29 "on" cells. It is confirmed that pseudo-barberpole is the smallest p5 oscillator.[1]

Rank Signature Name
apgcode
Image Cells Rotor
size
Volat. FC
1 15-17-17-25-17 Pseudo-barberpole
xp5_y2g0k413zwo0a02z32
15 28 .82
2 16-24-16-24-24 Octagon 2
xp5_idiidiz01w1
16 32 .80 29.3
3 17-20-19-21-19 Silver's p5
xp5_wftsw6246z32
17 19 .63
4 18-22-18-22-22 Fumarole
xp5_3pmwmp3zx11
18 26 .72 35.8
5 20-20-22-22-28 Pentoad
xp5_y4ca23zwgg3226z6221
20 22 .64
6 20-21-22-26-21 Elkies' p5
xp5_2mq3sggozx346
20 16 .55 44.7
7 21-21-22-22-24 Hooks
xp5_32aczxogf2c84c
21 11 .39
8 23-24-29-27-33 Pentoad 1H2
xp5_0jrz3210o88czy46a8o
23 38 .79
9 26-26-30-30-40 Pentoad with two hexominoes
xp5_y8ca23zy0gx3226zw8o1113z311
26 38 .76
10 26-28-26-28-28 Heart
xp5_giligz36asgv04a4
26 18 .50
11 26-28-36-32-38 Pentoad 2
xp5_0jrz3210o88czy5e53zy533
26 54 .87
12 28-28-29-29-32 Pentant
xp5_g0giegmp3z11074x6a8o
28 10 .28
13 28-28-30-30-32 Hooks dimer
xp5_0dbz65123fc48a6zy4db
28 16 .42
14 28-28-31-34-33 unnamed
xp5_xc48oi13zy0ssz0n13z123
28 45 .79
15 28-30-44-34-34 Scot's p5
xp5_4j8qa606aq8j4zx26x62
28 62 .93
16 28-32-32-48-32 Nivasch's pseudo-barberpole
xp5_03168gxg8a6z0gg8450dhz32y3346
28 52 .81
17 28-35-31-32-33 5blink
xp5_6a8w7zwor3sn52z04a511
28 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.

References

  1. ↑ Matthias Merzenich (October 4, 2025). Re: Oscillator Discussion Thread (discussion thread) at the ConwayLife.com forums