List of common spaceships

This is a list of the most common spaceships in the Game of Life, specifically Catagolue's B3/S23/C1 census as of July 2019. The patterns in this table beyond row 4 are only approximately ranked, as they all occur very infrequently so it is difficult to generate accurate estimates of their occurrence. The minimum known glider synthesis, as of April 2020, of each spaceship is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurring spaceships that will be of the given type.

Rank Pattern Period Heat Speed Minimum # of cells Glider cost Approximate relative frequency (out of 1.00)
1 Glider 4 4 c/4 diagonal 5 2 0.9981
2 Lightweight spaceship 4 11 2c/4 orthogonal 9 3 0.001491
3 Middleweight spaceship 4 15 2c/4 orthogonal 11 3 0.0003842
4 Heavyweight spaceship 4 19 2c/4 orthogonal 13 3 0.00006676
5 MWSS on MWSS 1 4 29 2c/4 orthogonal 20 5 1.874×10-10
6 HWSS on HWSS 1 4 36 2c/4 orthogonal 22 7 5.574×10-11
7 LWSS on MWSS 1 4 26.5 2c/4 orthogonal 20 7 2.324×10-11
8 LWSS on MWSS 2 4 26.5 2c/4 orthogonal 23 6 1.776×10-11
9 LWSS on HWSS 1 4 29 2c/4 orthogonal 20 7 1.660×10-11
10 LWSS on MWSS 3 4 26 2c/4 orthogonal 23 7 8.273×10-12
11 MWSS on MWSS 4 4 30 2c/4 orthogonal 26 7 6.541×10-12
12 LWSS on HWSS 7 4 29.5 2c/4 orthogonal 25 7 3.283×10-12
13 LWSS on HWSS 2 4 29 2c/4 orthogonal 20 7 2.689×10-12
14 LWSS on HWSS 3 4 30.5 2c/4 orthogonal 22 6 2.430×10-12
15 MWSS on MWSS 5 4 29.5 2c/4 orthogonal 26 7 2.172×10-12
16 LWSS on HWSS 4 4 31 2c/4 orthogonal 22 6 1.913×10-12
MWSS on MWSS 3 4 30 2c/4 orthogonal 24 7 1.913×10-12
18 LWSS on HWSS 5 4 31 2c/4 orthogonal 22 7 1.887×10-12
19 MWSS on MWSS 2 4 29 2c/4 orthogonal 20 7 1.603×10-12
20 MWSS on HWSS 2 4 33.5 2c/4 orthogonal 22 7 1.577×10-12
21 LWSS on HWSS 6 4 31 2c/4 orthogonal 22 7 1.422×10-12
22 MWSS on HWSS 6 4 35 2c/4 orthogonal 24 7 1.008×10-12
23 MWSS on HWSS 10 4 33.5 2c/4 orthogonal 27 7 9.824×10-13
24 MWSS on HWSS 12 4 34 2c/4 orthogonal 28 7 7.756×10-13
25 MWSS on HWSS 3 4 33.5 2c/4 orthogonal 22 7 7.497×10-13
26 MWSS on HWSS 14 4 34 2c/4 orthogonal 28 7 6.980×10-13
27 MWSS on HWSS 8 4 34.5 2c/4 orthogonal 24 7 6.205×10-13
MWSS on HWSS 7 4 35 2c/4 orthogonal 24 7 6.205×10-13
29 MWSS on HWSS 4 4 34.5 2c/4 orthogonal 24 7 5.946×10-13
30 MWSS on HWSS 5 4 34.5 2c/4 orthogonal 24 7 5.429×10-13
31 MWSS on HWSS 1 4 33 2c/4 orthogonal 22 7 4.653×10-13
32 MWSS on HWSS 9 4 32.5 2c/4 orthogonal 25 7 4.395×10-13
MWSS on HWSS 11 4 33.5 2c/4 orthogonal 28 7 4.395×10-13
34 MWSS on HWSS 13 4 33.5 2c/4 orthogonal 28 7 3.878×10-13
35 Coe ship 16 38 8c/16 orthogonal 28 7 3.361×10-13
36 HWSS on HWSS 8 4 37 2c/4 orthogonal 29 7 2.327×10-13
HWSS on HWSS 7 4 37 2c/4 orthogonal 29 7 2.327×10-13
HWSS on HWSS 5 4 39 2c/4 orthogonal 26 7 2.327×10-13
39 HWSS on HWSS 4 4 39 2c/4 orthogonal 26 6 1.551×10-13
HWSS on HWSS 2 4 36 2c/4 orthogonal 22 7 1.551×10-13
41 HWSS on HWSS 9 4 37 2c/4 orthogonal 30 7 1.034×10-13
42 HWSS on HWSS 6 4 37 2c/4 orthogonal 29 7 2.585×10-14
Schick engine 12 43.2 6c/12 orthogonal 39 10 2.585×10-14

See also
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