List of common still lifes

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Revision as of 15:13, 6 July 2019 by Ian07 (talk | contribs) (Various improvements/corrections; some larger (15+ bit) still lifes are still missing despite being common enough)
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This is a list of the most common still lifes in the Game of Life, specifically Catagolue's B3/S23/C1 census. The "approximate relative frequency" column gives an estimate of the proportion of all randomly-occurring still lifes that will be of the given type.

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 3 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 Dead spark coil 18 4 0.00000615
32 Canoe 8 4 0.00000540
33 Cis-mirrored R-bee 14 4 0.00000398
34 Moose antlers 15 4 0.00000358
35 Beehive on dock 16 4 0.00000292
36 Block on table 10 4 0.00000291
37 Block on dock 14 4 0.00000265
38 Scorpion 16 4 0.00000213
39 Beehive with tail 10 4 0.00000176
40 Twin hat 17 4 0.00000168
41 Loop 10 4 0.00000144
42 Long snake 7 4 0.00000142
43 Fourteener 14 4 0.00000140
44 Bookends 14 4 0.00000114
45 Cis-boat with tail 9 4 9.225×10-7
46 Cis-rotated hook 14 4 9.084×10-7
47 Elevener 11 4 8.872×10-7
48 Mirrored dock 20 4 8.178×10-7
49 Block on cap 12 4 7.902×10-7
50 Trans-loaf with tail 11 4 7.689×10-7
51 Cis-shillelagh 10 4 7.571×10-7
52 Trans-mirrored R-bee 14 4 7.350×10-7
53 Trans-block on long hook 12 4 6.897×10-7
54 Prodigal 10 4 6.219×10-7
55 Broken snake 10 4 5.623×10-7
56 Trans-hook and R-bee 14 4 5.201×10-7
57 Eater head siamese eater tail 12 4 5.070×10-7
58 Block and two tails 12 4 5.063×10-7
59 Cis-boat on dock 15 4 5.049×10-7
60 Cis-block on long hook 12 4 4.736×10-7
61 Very long snake 9 4 4.687×10-7
62 Boat with long tail 10 4 4.358×10-7
63 Long shillelagh 9 4 4.188×10-7
64 Beehive at loaf 13 4 4.161×10-7
65 Long integral 10 4 3.356×10-7
66 Tub with long tail 9 4 3.340×10-7
67 Cis-hook and R-bee 14 4 3.336×10-7
68 Hook with tail 8 4 3.328×10-7
69 Loaf siamese loaf 11 4 3.260×10-7
70 Long canoe 9 4 2.674×10-7
71 11 loop 11 4 2.633×10-7
72 Ortho-loaf on table 13 4 2.625×10-7
73 Cis-loaf with tail 11 4 2.614×10-7
74 Claw with tail 10 4 2.508×10-7
75 Trans-rotated R-bee 14 4 2.335×10-7
76 R-bee and snake 13 4 2.090×10-7
77 Boat tie eater tail 12 4 1.966×10-7
78 Snorkel loop 12 4 1.880×10-7
79 Beehive on table 12 4 1.859×10-7
80 Cis-boat on table 11 4 1.812×10-7
81 Trans barge with tail 10 4 1.685×10-7
82 Beehive on cap 14 4 1.561×10-7
83 Beehive at beehive 12 4 1.558×10-7
84 Ship on long boat 13 5 1.548×10-7
85 Cis-boat and cap 13 4 1.494×10-7
86 Beehive bend tail 12 4 1.488×10-7
87 Trans-boat with nine 11 4 1.450×10-7
88 Beehive with nine 12 4 1.259×10-7
89 Very long barge 10 5 1.221×10-7
90 Trans-long boat with tail 11 4 1.181×10-7
91 Hungry hat 11 4 1.051×10-7
92 Trans-boat on table 11 4 1.015×10-7
93 Cis-boat with nine 11 5 1.010×10-7
94 xs13_321fgkc 13 4 9.659×10-8
95 Loaf back tie loaf 14 4 9.069×10-8
96 Boat tie long boat 12 4 7.985×10-8
97 Trans-mango with tail 12 4 7.376×10-8
98 13-boat wrap eater 13 4 7.193×10-8
99 Bi-loaf 2 14 4 7.080×10-8
100 Para-R-bee on loaf 14 4 6.964×10-8
101 Inverted double claw 12 5 6.933×10-8
102 ?13-head 13 4 6.632×10-8
103 R-bee on beehive 13 4 6.327×10-8
104 Boat with hooked tail 11 4 5.985×10-8
105 Carrier siamese carrier 10 4 5.832×10-8
106 Very long shillelagh 10 4 5.771×10-8
107 House siamese shillelagh 13 5 5.731×10-8
108 Long hook with tail 9 5 5.706×10-8
109 Snake with feather 11 4 5.676×10-8
110 Aircraft carrier with feather 11 4 5.433×10-8
111 Carrier siamese dock 14 4 5.350×10-8
112 Cis-mirrored offset hooks 14 4 5.332×10-8
113 Long^3 boat 11 4 5.324×10-8
114 Cis-beehive and longhook 14 4 5.104×10-8
115 xs14_g8id96z121 14 5 4.814×10-8
116 Cis-barge with tail 10 4 4.704×10-8
117 Krake 13 4 4.509×10-8
118 Ship tie snake 12 5 4.506×10-8
119 ?14-beehive with long bend tail 14 4 4.495×10-8
120 12-loop 12 4 4.217×10-8
121 xs13_354mp3 13 4 4.137×10-8
122 Sidewalk 14 4 3.986×10-8
123 xs14_2egu156 14 5 3.857×10-8
124 xs13_08ka96z321 13 5 3.788×10-8

See also