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 Ship on quadpole 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 and dock 2 2 16 4.31×10-9
21 Cis-beacon and table 2 2 12 3.36×10-9
22 Trans-beacon and table 2 2 12 3.24×10-9
23 Achim's p4 4 4 40 3.00×10-9
24 Cis-beacon and 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 and dock 2 2 16 1.20×10-9
31 Cis-beacon up and long hook 2 2 14 1.02×10-9
32 1 beacon 2 2 18 8.99×10-10
Cis-beacon and cap 2 2 14 8.99×10-10
34 20P2 2 2 21 8.39×10-10
35 Cis-beacon down and long hook 2 2 14 7.79×10-10
36 Griddle and block 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 and long hook eating tub 3 6 16 3.00×10-10
Trans-beacon down and long hook 2 2 14 3.00×10-10
42 Caterer 3 14.7 12 2.40×10-10
Griddle and beehive 2 6 17 2.40×10-10
44 Ship on bipole 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 and long hook eating tub 3 6 18 1.20×10-10
Cis-boat and long hook eating tub 3 6 17 1.20×10-10
Eater plug 2 2 14 1.20×10-10
Griddle and boat 2 6 16 1.20×10-10
Odd test tube baby 2 2 15 1.20×10-10
Trans-beacon and cap 2 2 14 1.20×10-10
Trans-beacon up and 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