List of common oscillators

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This is a list of the most common oscillators in the Game of Life. The patterns in this table beyond about row 10 are only approximately ranked, as they all occur very infrequently so it is difficult to generate accurate estimates of their occurrence. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type, as computed in Achim Flammenkamp's census.

Rank Pattern Period Heat Minimum # of cells Approximate relative frequency (out of 1.00)
1 Blinker 2 4 3 0.989
2 Toad 2 8 6 0.00804
3 Beacon 2 2 6 0.00246
4 Pulsar 3 42.7 48 1.53×10-4
5 Pentadecathlon 15 22.4 12 1.84×10-6
6 Clock 2 8 6 1.78×10-6
7 Bipole 2 4 8 3.98×10-7
8 Quadpole 2 8 10 3.65×10-7
9 Great on-off 2 2 18 2.60×10-7
10 Figure eight 8 16.5 12 9.04×10-8
11 Spark coil 2 2 18 8.17×10-8
12 Mold 4 7 12 6.60×10-8
13 Quadpole on ship 2 8 16 2.74×10-8
14 Tripole 2 6 9 1.43×10-8
15 Mazing 4 14 12 1.34×10-8
16 Blocker 8 9 15 8.21×10-9
17 Jam 3 14.3 13 7.37×10-9
18 Cis-queen bee shuttle 30 17.9 20 5.27×10-9
Trans-queen bee shuttle 30 17.9 20 5.27×10-9
20 Cis-beacon on dock 2 2 16 4.31×10-9
21 Cis-beacon on table 2 2 12 3.36×10-9
22 Trans-beacon on table 2 2 12 3.24×10-9
23 Achim's p4 4 4 40 3.00×10-9
24 Cis-beacon on anvil 2 2 19 2.70×10-9
25 Test tube baby 2 2 14 2.34×10-9
26 Octagon 2 5 16 16 1.80×10-9
Unix 6 11.3 16 1.80×10-9
28 Tumbler 14 10.3 16 1.32×10-9
29 Tub test tube baby 2 2 16 1.26×10-9
30 Trans-beacon on dock 2 2 16 1.20×10-9
31 Cis-beacon up on long hook 2 2 14 1.02×10-9
32 1 beacon 2 2 18 8.99×10-10
Cis-beacon on cap 2 2 14 8.99×10-10
34 20P2 2 2 21 8.39×10-10
35 Cis-beacon down on long hook 2 2 14 7.79×10-10
36 Block on griddle 2 6 15 4.19×10-10
Boat on spark coil 2 2 23 4.19×10-10
38 Fore and back 2 4 24 3.60×10-10
21P2 2 2 16 3.60×10-10
40 Trans-block on long hook eating tub 3 6 16 3.00×10-10
Trans-beacon down on long hook 2 2 14 3.00×10-10
42 Caterer 3 14.7 12 2.40×10-10
Beehive on griddle 2 6 17 2.40×10-10
44 Bipole on ship 2 4 14 1.80×10-10
Boat on quadpole 2 8 15 1.80×10-10
Candlefrobra 3 6 16 1.80×10-10
Coe's p8 8 12.5 17 1.80×10-10
22P2 2 2 20 1.80×10-10
23P2 2 2 17 1.80×10-10
50 Beacon and two tails 2 2 14 1.20×10-10
Beehive on long hook eating tub 3 6 18 1.20×10-10
Cis-boat on long hook eating tub 3 6 17 1.20×10-10
Eater plug 2 2 14 1.20×10-10
Boat on griddle 2 6 16 1.20×10-10
Odd test tube baby 2 2 15 1.20×10-10
Trans-beacon on cap 2 2 14 1.20×10-10
Trans-beacon up on long hook 2 2 14 1.20×10-10
24P2 2 2 18 1.20×10-10
18P2.471 2 2 18 1.20×10-10
26P2 2 2 20 1.20×10-10

See also