Small period-3 oscillators

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All known period-3 oscillators, which have at least one phase with a population lower than 21. Stator variants of oscillators are ignored; the rotors of each oscillator must be unique.

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.

Oscillator / apgcode Cells Signature Volatility FC Synth.
cost
1 Caterer
xp3_4hh186z07
12 012-15-16 0.82 32.0 5
2 Jam
xp3_695qc8zx33
13 013-14-16 0.56 27.6 5
3 Two eaters
xp3_32aczy0354c
14 014-16-14 0.33 38.8 6
4 Trice tongs
xp3_04qi3s4z33w1
16 016-18-19 0.35 40.6 8
5 Bent keys
xp3_2524sws4252
16 016-20-18 0.73 39.2 7
6 Odd keys
xp3_2524sws44a4
16 016-21-18 0.73 40.8 7
7 Short keys
xp3_2522ewe2252
16 016-22-18 0.73 41.2 6
8 Bent key and skewed pole
xp3_31ecsggocca4
17 017-22-18 0.73 43.0 8
9 Short key and skewed pole
xp3_257631176ego
17 017-23-18 0.73 45.9 13
10 Cis-skewed poles
xp3_31ecsggsce13
18 018-18-24 0.73 40.2 7
Trans-skewed poles
xp3_31ecsgzy2176ego
18 018-18-24 0.73 [No natural
occurrences]
8
11 Trans-block on cuphook
xp3_32q4w8ozx11dd
18 018-20-19 0.14 41.3 7
12 French kiss
xp3_17844ozx3442sg
18 018-20-20 0.27 48 8
13 Pulsar quadrant
xp3_4s3ia4oggzw12e
18 018-20-22 0.42 46.7 8
Two pulsar quadrants
xp3_co9na4oggzw12e
18 018-22-20 0.75 40.8 8
14 Fire-spitting
xp3_08ean1e8zoga3
19 019-22-23 0.70 [No natural
occurrences]
34
15 Bowed caterer[1]
xp3_g39c4g62z3w2u
19 019-27-23 0.78 [No natural
occurrences]
44
16 Dual caterer[1]
xp3_gooofz1w248ecs
20 020-20-23 0.89 [No natural
occurrences][n 1]
26
17 Stillater stator variant
xp3_8kiq3k4ozx6221
20 020-21-22 0.14 43.6 10
18 unnamed
xp3_ggma04roa0koz1
20 020-21-24 0.63 [No natural
occurrences]
20
19 Caterer with skewed pole[1]
xp3_ciga13zg83937z11
20 020-25-23 0.71 [No natural
occurrences]
23
20 20P3
xp3_76ei0c0609ecs
20 020-20-24 0.94 [No natural
occurrences]
10
21 Beluchenko's p3 with loaf[1]
xp3_32aczy0136blic
20 020-22-22 0.46 [No natural
occurrences]
11

Notes

  1. Has occurred once in a D4_x4 soup found by Charity Engine on 2023-02-28 but that depends on a D4_x4 reaction so is not equivalent to a C1 occurrence

References

  1. 1.0 1.1 1.2 1.3 Mark Niemiec's lifesrch