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 0.484
2 Beehive 6 2 0.287
3 Loaf 7 2 0.0893
4 Boat 5 2 0.0820
5 Tub 4 3 0.0183
6 Pond 8 2 0.0173
7 Ship 6 3 0.0113
8 Long boat 7 3 0.00536
9 Ship-tie 12 4 0.00205
10 Barge 6 3 0.00121
11 Half-bakery 14 3 7.71×10-4
12 Mango 8 3 4.76×10-4
13 Eater 1 7 2 2.60×10-4
14 Long barge 8 3 1.85×10-4
15 Aircraft carrier 6 4 1.15×10-4
16 Paperclip 14 3 7.28×10-5
17 Long ship 8 4 6.18×10-5
18 Shillelagh 8 4 4.54×10-5
19 Integral sign 9 4 4.27×10-5
20 Boat-tie 10 4 3.98×10-5
21 Snake 6 4 3.96×10-5
22 Big S 14 4 3.77×10-5
23 Bi-pond 16 4 3.03×10-5
24 Trans-boat with tail 9 4 1.72×10-5
25 Hat 9 3 1.65×10-5
26 Boat tie ship 11 4 1.37×10-5
27 Very long boat 9 3 1.17×10-5
28 Tub with tail 8 4 1.07×10-5
29 Very long ship 10 4 9.26×10-6
30 Table and table 12 4 8.26×10-6
31 Canoe 8 4 6.84×10-6
32 Cis-mirrored R-bee 14 4 4.32×10-6
33 Moose antlers 15 4 3.92×10-6
34 Block on table 10 4 3.62×10-6
35 Block on dock 14 4 3.54×10-6
36 Twin hat 17 5 3.25×10-6
37 Beehive on dock 16 2.38×10-6
38 Beehive with tail 10 4 2.31×10-6
39 Scorpion 16 4 1.85×10-6
40 Loop 10 5 1.80×10-6
41 Fourteener 14 4 1.56×10-6
42 Cis-boat with tail 9 4 1.27×10-6
43 Long snake 7 4 1.14×10-6
44 Trans-mirrored R-bee 14 4 1.08×10-6
45 Dead spark coil 18 4 1.07×10-6
46 Bookends 14 4 1.06×10-6
47 Elevener 11 4 1.04×10-6
48 Block on cap 12 4 1.00×10-6
49 Trans-loaf with tail 11 4 9.87×10-7
50 Cis-rotated hook 14 9.76×10-7
51 Trans-block on long hook 12 5 8.91×10-7
52 Cis-shillelagh 10 4 8.04×10-7
53 Mirrored dock 20 4 7.70×10-7
54 Broken snake 10 6 7.20×10-7
55 Trans-hook and R-bee 14 7.17×10-7
56 Block on cover 12 4 6.91×10-7
57 Cis-boat on dock 15 4 6.48×10-7
58 Eater head siamese eater tail 12 5 6.47×10-7
59 Cis-block on long hook 12 5 6.20×10-7
60 Very long snake 8 5 6.16×10-7
61 Integral with tub 10 5 5.75×10-7
62 Long shillelagh 9 6 5.06×10-7
63 Trans-R-bee and R-loaf 15 4.97×10-7
64 Boat with long tail 10 5 4.95×10-7
65 Cis-hook and R-bee 14 4.64×10-7
66 Beehive at loaf 13 7 4.45×10-7
67 Tub with long tail 9 5 4.37×10-7
68 Loaf siamese loaf 11 8 4.09×10-7
69 Hook with tail 8 4 4.05×10-7
70 Long integral 10 5 3.88×10-7
71 Eleven loop 11 4 3.85×10-7
72 Claw with tail 10 4 3.25×10-7
73 Symmetric scorpion 16 3.14×10-7
74 Cis-loaf with tail 11 4 3.13×10-7
75 Bee hat 15 4 2.96×10-7
76 Trans-rotated R-bee 14 2.94×10-7
77 Long canoe 9 4 2.92×10-7
78 Trans-boat on dock 15 2.68×10-7
79 Boat tie eater tail 12 4 2.55×10-7
80 R-bee and snake 13 7 2.53×10-7
81 Cis-boat on table 11 4 2.41×10-7
82 Beehive on table 12 4 2.34×10-7
83 Snorkel loop 12 6 2.25×10-7
84 Trans-barge with tail 10 4 2.24×10-7
85 Beehive on cap 14 1.96×10-7
86 Trans-boat with nine 11 4 1.90×10-7
87 Ortho-loaf on table 13 6 1.87×10-7
88 Beehive bend tail 12 4 1.80×10-7
89 Beehive with nine 12 6 1.79×10-7
90 Cis-R-bee and R-loaf 15 1.76×10-7
91 long boat tie ship 13 6 1.73×10-7
92 Beehive at beehive 12 4 1.71×10-7

See also