List of common still lifes

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This is a list of the most common still lifes in the Game of Life. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurring still lifes that will be of the given type, as computed in Achim Flammenkamp's census.

This table only includes strict still lifes and thus does not count objects like honey farms.

Rank Pattern # of cells Glider cost Approximate relative
frequency (out of 1.00)
1 Block 4 2 0.496
2 Beehive 6 2 0.263
3 Loaf 7 2 0.0776
4 Boat 5 2 0.0717
5 Ship 6 3 0.0494
6 Tub 4 3 0.0156
7 Pond 8 2 0.0152
8 Long boat 7 3 0.00503
9 Ship-tie 12 4 0.00255
10 Barge 6 3 0.00106
11 Half-bakery 14 3 0.000865
12 Mango 8 3 0.000389
13 Eater 1 7 2 0.000251
14 Long barge 8 3 0.000141
15 Aircraft carrier 6 4 0.000122
16 Paperclip 14 3 0.0000709
17 Long ship 8 4 0.0000483
18 Integral sign 9 4 0.0000444
19 Shillelagh 8 4 0.0000383
20 Boat-tie 10 4 0.0000375
21 Snake 6 4 0.0000336
22 Big S 14 4 0.0000335
23 Bi-pond 16 4 0.0000292
24 Trans-boat with tail 9 4 0.0000160
25 Boat tie ship 11 4 0.0000133
26 Hat 9 3 0.0000126
27 Very long ship 10 4 0.0000103
28 Very long boat 9 3 0.00000922
29 Tub with tail 8 4 0.00000870
30 Table and table 12 4 0.00000651
31 Canoe 8 4 0.00000540
32 Cis-mirrored R-bee 14 4 0.00000398
33 Moose antlers 15 4 0.00000358
34 Beehive on dock 16 4 0.00000292
35 Block on table 10 4 0.00000291
36 Block on dock 14 4 0.00000265
37 Scorpion 16 4 0.00000213
38 Beehive with tail 10 4 0.00000176
39 Twin hat 17 5 0.00000168
40 Loop 10 5 0.00000144
41 Long snake 7 4 0.00000142
42 Fourteener 14 4 0.00000140
43 Cis-boat with tail 9 4 9.225×10-7
44 Cis-shilllelagh 10 4 7.571×10-7
45 Prodigal 10 4 6.219×10-7
46 Broken snake 10 4 5.623×10-7
46 Very long snake 9 4 4.687×10-7
47 Boat with long tail 10 4 4.358×10-7
48 Long shillelagh 9 4 4.188×10-7

See also