List of common still lifes

From LifeWiki
Jump to: navigation, search

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 Bi-loaf 1 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-ship-tie 11 4 1.37×10-5
27 Long long boat 9 3 1.17×10-5
28 Tub with tail 8 4 1.07×10-5
29 Long long ship 10 4 9.26×10-6
30 Table on 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 and dock 14 4 3.54×10-6
36 Twin hat 17 5 3.25×10-6
37 Beehive and 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 and 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 and 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 Carrier siamese snake 10 6 7.20×10-7
55 Trans-hook and R-bee 14 7.17×10-7
56 Block and two tails 12 4 6.91×10-7
57 Cis-boat and dock 15 4 6.48×10-7
58 Eater siamese eater 12 5 6.47×10-7
59 Cis-block and long hook 12 5 6.20×10-7
60 Long 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 and dock 15 2.68×10-7
79 Eater on boat 12 4 2.55×10-7
80 R-bee and snake 13 7 2.53×10-7
81 Cis-boat and table 11 4 2.41×10-7
82 Beehive and 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 and cap 14 1.96×10-7
86 Trans-boat with nine 11 4 1.90×10-7
87 Ortho-loaf and 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 Ship on long boat 13 6 1.73×10-7
92 Beehive at beehive 12 4 1.71×10-7

See also