Difference between revisions of "List of common still lifes"

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(Various improvements/corrections; some larger (15+ bit) still lifes are still missing despite being common enough)
(Updating)
Line 396: Line 396:
|-
|-
! 65
! 65
| [[Trans-R-bee and R-loaf]]
| 15
| 4
| 3.489&times;10<sup>-7
|-
! 66
| [[Long integral]]
| [[Long integral]]
| 10
| 10
Line 401: Line 407:
| 3.356&times;10<sup>-7
| 3.356&times;10<sup>-7
|-
|-
! 66
! 67
| [[Tub with long tail]]
| [[Tub with long tail]]
| 9
| 9
Line 407: Line 413:
| 3.340&times;10<sup>-7
| 3.340&times;10<sup>-7
|-
|-
! 67
! 68
| [[Cis-hook and R-bee]]
| [[Cis-hook and R-bee]]
| 14
| 14
Line 413: Line 419:
| 3.336&times;10<sup>-7
| 3.336&times;10<sup>-7
|-
|-
! 68
! 69
| [[Hook with tail]]
| [[Hook with tail]]
| 8
| 8
Line 419: Line 425:
| 3.328&times;10<sup>-7
| 3.328&times;10<sup>-7
|-
|-
! 69
! 70
| [[Loaf siamese loaf]]
| [[Loaf siamese loaf]]
| 11
| 11
Line 425: Line 431:
| 3.260&times;10<sup>-7
| 3.260&times;10<sup>-7
|-
|-
! 70
! 71
| [[Long canoe]]
| [[Long canoe]]
| 9
| 9
Line 431: Line 437:
| 2.674&times;10<sup>-7
| 2.674&times;10<sup>-7
|-
|-
! 71
! 72
| [[11 loop]]
| [[11 loop]]
| 11
| 11
Line 437: Line 443:
| 2.633&times;10<sup>-7
| 2.633&times;10<sup>-7
|-
|-
! 72
! 73
| [[Ortho-loaf on table]]
| [[Ortho-loaf on table]]
| 13
| 13
Line 443: Line 449:
| 2.625&times;10<sup>-7
| 2.625&times;10<sup>-7
|-
|-
! 73
! 74
| [[Cis-loaf with tail]]
| [[Cis-loaf with tail]]
| 11
| 11
Line 449: Line 455:
| 2.614&times;10<sup>-7
| 2.614&times;10<sup>-7
|-
|-
! 74
! 75
| [[Symmetric scorpion]]
| 16
| 4
| 2.612&times;10<sup>-7
|-
! 76
| [[Claw with tail]]
| [[Claw with tail]]
| 10
| 10
Line 455: Line 467:
| 2.508&times;10<sup>-7
| 2.508&times;10<sup>-7
|-
|-
! 75
! 77
| [[Bee hat]]
| 15
| 4
| 2.380&times;10<sup>-7
|-
! 78
| [[Trans-rotated R-bee]]
| [[Trans-rotated R-bee]]
| 14
| 14
Line 461: Line 479:
| 2.335&times;10<sup>-7
| 2.335&times;10<sup>-7
|-
|-
! 76
! 79
| [[Up wing on wing]]
| 16
| 4
| 2.284&times;10<sup>-7
|-
! 80
| [[R-bee and snake]]
| [[R-bee and snake]]
| 13
| 13
Line 467: Line 491:
| 2.090&times;10<sup>-7
| 2.090&times;10<sup>-7
|-
|-
! 77
! 81
| [[Boat tie eater tail]]
| [[Boat tie eater tail]]
| 12
| 12
Line 473: Line 497:
| 1.966&times;10<sup>-7
| 1.966&times;10<sup>-7
|-
|-
! 78
! 82
| [[Snorkel loop]]
| [[Snorkel loop]]
| 12
| 12
Line 479: Line 503:
| 1.880&times;10<sup>-7
| 1.880&times;10<sup>-7
|-
|-
! 79
! 83
| [[Beehive on table]]
| [[Beehive on table]]
| 12
| 12
Line 485: Line 509:
| 1.859&times;10<sup>-7
| 1.859&times;10<sup>-7
|-
|-
! 80
! 84
| [[Cis-boat on table]]
| [[Cis-boat on table]]
| 11
| 11
Line 491: Line 515:
| 1.812&times;10<sup>-7
| 1.812&times;10<sup>-7
|-
|-
! 81
! 85
| [[Trans barge with tail]]
| [[Trans barge with tail]]
| 10
| 10
Line 497: Line 521:
| 1.685&times;10<sup>-7
| 1.685&times;10<sup>-7
|-
|-
! 82
! 86
| [[Trans-boat on dock]]
| 15
| 4
| 1.580&times;10<sup>-7
|-
! 87
| [[Beehive on cap]]
| [[Beehive on cap]]
| 14
| 14
Line 503: Line 533:
| 1.561&times;10<sup>-7
| 1.561&times;10<sup>-7
|-
|-
! 83
! 88
| [[Beehive at beehive]]
| [[Beehive at beehive]]
| 12
| 12
Line 509: Line 539:
| 1.558&times;10<sup>-7
| 1.558&times;10<sup>-7
|-
|-
! 84
! 89
| [[Ship on long boat]]
| [[Ship on long boat]]
| 13
| 13
Line 515: Line 545:
| 1.548&times;10<sup>-7
| 1.548&times;10<sup>-7
|-
|-
! 85
! 90
| [[Cis-boat and cap]]
| [[Cis-boat and cap]]
| 13
| 13
Line 521: Line 551:
| 1.494&times;10<sup>-7
| 1.494&times;10<sup>-7
|-
|-
! 86
! 91
| [[Beehive bend tail]]
| [[Beehive bend tail]]
| 12
| 12
Line 527: Line 557:
| 1.488&times;10<sup>-7
| 1.488&times;10<sup>-7
|-
|-
! 87
! 92
| [[Trans-boat with nine]]
| [[Trans-boat with nine]]
| 11
| 11
Line 533: Line 563:
| 1.450&times;10<sup>-7
| 1.450&times;10<sup>-7
|-
|-
! 88
! 93
| [[15-bent-paperclip]]
| 15
| 4
| 1.417&times;10<sup>-7
|-
! 94
| [[Beehive with nine]]
| [[Beehive with nine]]
| 12
| 12
Line 539: Line 575:
| 1.259&times;10<sup>-7
| 1.259&times;10<sup>-7
|-
|-
! 89
! 95
| [[Very long barge]]
| [[Very long barge]]
| 10
| 10
Line 545: Line 581:
| 1.221&times;10<sup>-7
| 1.221&times;10<sup>-7
|-
|-
! 90
! 96
| [[Trans-long boat with tail]]
| [[Trans-long boat with tail]]
| 11
| 11
Line 551: Line 587:
| 1.181&times;10<sup>-7
| 1.181&times;10<sup>-7
|-
|-
! 91
! 97
| [[Cis-R-bee and R-loaf]]
| 15
| 4
| 1.101&times;10<sup>-7
|-
! 98
| [[Hungry hat]]
| [[Hungry hat]]
| 11
| 11
Line 557: Line 599:
| 1.051&times;10<sup>-7
| 1.051&times;10<sup>-7
|-
|-
! 92
! 99
| [[Trans-boat on table]]
| [[Trans-boat on table]]
| 11
| 11
Line 563: Line 605:
| 1.015&times;10<sup>-7
| 1.015&times;10<sup>-7
|-
|-
! 93
! 100
| [[Cis-boat with nine]]
| [[Cis-boat with nine]]
| 11
| 11
Line 569: Line 611:
| 1.010&times;10<sup>-7
| 1.010&times;10<sup>-7
|-
|-
! 94
! 101
| [[xs13_321fgkc]]
| [[xs13_321fgkc]]
| 13
| 13
Line 575: Line 617:
| 9.659&times;10<sup>-8
| 9.659&times;10<sup>-8
|-
|-
! 95
! 102
| [[Loaf back tie loaf]]
| [[Loaf back tie loaf]]
| 14
| 14
Line 581: Line 623:
| 9.069&times;10<sup>-8
| 9.069&times;10<sup>-8
|-
|-
! 96
! 103
| [[Trans-R-bee and R-mango]]
| 16
| 4
| 8.256&times;10<sup>-8
|-
! 104
| [[Boat tie long boat]]
| [[Boat tie long boat]]
| 12
| 12
Line 587: Line 635:
| 7.985&times;10<sup>-8
| 7.985&times;10<sup>-8
|-
|-
! 97
! 105
| [[Cis-mirrored longhook]]
| 16
| 4
| 7.914&times;10<sup>-8
|-
! 106
| [[Trans-ship and dock]]
| 16
| 4
| 7.532&times;10<sup>-8
|-
! 107
| [[Trans-mango with tail]]
| [[Trans-mango with tail]]
| 12
| 12
Line 593: Line 653:
| 7.376&times;10<sup>-8
| 7.376&times;10<sup>-8
|-
|-
! 98
! 108
| [[13-boat wrap eater]]
| [[13-boat wrap eater]]
| 13
| 13
Line 599: Line 659:
| 7.193&times;10<sup>-8
| 7.193&times;10<sup>-8
|-
|-
! 99
! 109
| [[Bi-loaf 2]]
| [[Bi-loaf 2]]
| 14
| 14
Line 605: Line 665:
| 7.080&times;10<sup>-8
| 7.080&times;10<sup>-8
|-
|-
! 100
! 110
| [[Para-R-bee on loaf]]
| [[Para-R-bee on loaf]]
| 14
| 14
Line 611: Line 671:
| 6.964&times;10<sup>-8
| 6.964&times;10<sup>-8
|-
|-
! 101
! 111
| [[Inverted double claw]]
| [[Inverted double claw]]
| 12
| 12
Line 617: Line 677:
| 6.933&times;10<sup>-8
| 6.933&times;10<sup>-8
|-
|-
! 102
! 112
| [[Big S with tub]]
| 15
| 4
| 6.859&times;10<sup>-8
|-
! 113
| [[?13-head]]
| [[?13-head]]
| 13
| 13
Line 623: Line 689:
| 6.632&times;10<sup>-8
| 6.632&times;10<sup>-8
|-
|-
! 103
! 114
| [[R-bee on beehive]]
| [[R-bee on beehive]]
| 13
| 13
Line 629: Line 695:
| 6.327&times;10<sup>-8
| 6.327&times;10<sup>-8
|-
|-
! 104
! 115
| [[Cis-hook and R-loaf]]
| 15
| 4
| 6.250&times;10<sup>-8
|-
! 116
| [[Boat with hooked tail]]
| [[Boat with hooked tail]]
| 11
| 11
Line 635: Line 707:
| 5.985&times;10<sup>-8
| 5.985&times;10<sup>-8
|-
|-
! 105
! 117
| [[Pond on R-loaf]]
| 16
| 4
| 5.844&times;10<sup>-8
|-
! 118
| [[Carrier siamese carrier]]
| [[Carrier siamese carrier]]
| 10
| 10
Line 641: Line 719:
| 5.832&times;10<sup>-8
| 5.832&times;10<sup>-8
|-
|-
! 106
! 119
| [[Very long shillelagh]]
| [[Very long shillelagh]]
| 10
| 10
Line 647: Line 725:
| 5.771&times;10<sup>-8
| 5.771&times;10<sup>-8
|-
|-
! 107
! 120
| [[Pond and cap]]
| 16
| 4
| 5.769&times;10<sup>-8
|-
! 121
| [[House siamese shillelagh]]
| [[House siamese shillelagh]]
| 13
| 13
Line 653: Line 737:
| 5.731&times;10<sup>-8
| 5.731&times;10<sup>-8
|-
|-
! 108
! 122
| [[Long hook with tail]]
| [[Long hook with tail]]
| 9
| 9
Line 659: Line 743:
| 5.706&times;10<sup>-8
| 5.706&times;10<sup>-8
|-
|-
! 109
! 123
| [[Snake with feather]]
| [[Snake with feather]]
| 11
| 11
Line 665: Line 749:
| 5.676&times;10<sup>-8
| 5.676&times;10<sup>-8
|-
|-
! 110
! 124
| [[Trans-hook and R-loaf]]
| 15
| 4
| 5.528&times;10<sup>-8
|-
! 125
| [[Aircraft carrier with feather]]
| [[Aircraft carrier with feather]]
| 11
| 11
Line 671: Line 761:
| 5.433&times;10<sup>-8
| 5.433&times;10<sup>-8
|-
|-
! 111
! 126
| [[Carrier siamese dock]]
| [[Carrier siamese dock]]
| 14
| 14
Line 677: Line 767:
| 5.350&times;10<sup>-8
| 5.350&times;10<sup>-8
|-
|-
! 112
! 127
| [[Cis-mirrored offset hooks]]
| [[Cis-mirrored offset hooks]]
| 14
| 14
Line 683: Line 773:
| 5.332&times;10<sup>-8
| 5.332&times;10<sup>-8
|-
|-
! 113
! 128
| [[Long^3 boat]]
| [[Long^3 boat]]
| 11
| 11
Line 689: Line 779:
| 5.324&times;10<sup>-8
| 5.324&times;10<sup>-8
|-
|-
! 114
! 129
| [[Cis-beehive and longhook]]
| [[Cis-beehive and longhook]]
| 14
| 14
Line 695: Line 785:
| 5.104&times;10<sup>-8
| 5.104&times;10<sup>-8
|-
|-
! 115
! 130
| [[xs14_g8id96z121]]
| [[xs14_g8id96z121]]
| 14
| 14
Line 701: Line 791:
| 4.814&times;10<sup>-8
| 4.814&times;10<sup>-8
|-
|-
! 116
! 131
| [[Cis-barge with tail]]
| [[Cis-barge with tail]]
| 10
| 10
Line 707: Line 797:
| 4.704&times;10<sup>-8
| 4.704&times;10<sup>-8
|-
|-
! 117
! 132
| [[Krake]]
| [[Krake]]
| 13
| 13
Line 713: Line 803:
| 4.509&times;10<sup>-8
| 4.509&times;10<sup>-8
|-
|-
! 118
! 133
| [[Ship tie snake]]
| [[Ship tie snake]]
| 12
| 12
Line 719: Line 809:
| 4.506&times;10<sup>-8
| 4.506&times;10<sup>-8
|-
|-
! 119
! 134
| [[?14-beehive with long bend tail]]
| [[?14-beehive with long bend tail]]
| 14
| 14
Line 725: Line 815:
| 4.495&times;10<sup>-8
| 4.495&times;10<sup>-8
|-
|-
! 120
! 135
| [[12-loop]]
| [[12-loop]]
| 12
| 12
Line 731: Line 821:
| 4.217&times;10<sup>-8
| 4.217&times;10<sup>-8
|-
|-
! 121
! 136
| [[xs13_354mp3]]
| [[xs13_354mp3]]
| 13
| 13
Line 737: Line 827:
| 4.137&times;10<sup>-8
| 4.137&times;10<sup>-8
|-
|-
! 122
! 137
| [[Sidewalk]]
| [[Sidewalk]]
| 14
| 14
Line 743: Line 833:
| 3.986&times;10<sup>-8
| 3.986&times;10<sup>-8
|-
|-
! 123
! 138
| [[xs14_2egu156]]
| [[xs14_2egu156]]
| 14
| 14
Line 749: Line 839:
| 3.857&times;10<sup>-8
| 3.857&times;10<sup>-8
|-
|-
! 124
! 139
| [[xs13_08ka96z321]]
| [[xs13_08ka96z321]]
| 13
| 13
| 5
| 5
| 3.788&times;10<sup>-8
| 3.788&times;10<sup>-8
|-
! 140
| [[Para-hook and R-havoc]]
| 16
| 4
| 3.707&times;10<sup>-8
|-
|-
|}
|}

Revision as of 18:37, 6 July 2019

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 Trans-R-bee and R-loaf 15 4 3.489×10-7
66 Long integral 10 4 3.356×10-7
67 Tub with long tail 9 4 3.340×10-7
68 Cis-hook and R-bee 14 4 3.336×10-7
69 Hook with tail 8 4 3.328×10-7
70 Loaf siamese loaf 11 4 3.260×10-7
71 Long canoe 9 4 2.674×10-7
72 11 loop 11 4 2.633×10-7
73 Ortho-loaf on table 13 4 2.625×10-7
74 Cis-loaf with tail 11 4 2.614×10-7
75 Symmetric scorpion 16 4 2.612×10-7
76 Claw with tail 10 4 2.508×10-7
77 Bee hat 15 4 2.380×10-7
78 Trans-rotated R-bee 14 4 2.335×10-7
79 Up wing on wing 16 4 2.284×10-7
80 R-bee and snake 13 4 2.090×10-7
81 Boat tie eater tail 12 4 1.966×10-7
82 Snorkel loop 12 4 1.880×10-7
83 Beehive on table 12 4 1.859×10-7
84 Cis-boat on table 11 4 1.812×10-7
85 Trans barge with tail 10 4 1.685×10-7
86 Trans-boat on dock 15 4 1.580×10-7
87 Beehive on cap 14 4 1.561×10-7
88 Beehive at beehive 12 4 1.558×10-7
89 Ship on long boat 13 5 1.548×10-7
90 Cis-boat and cap 13 4 1.494×10-7
91 Beehive bend tail 12 4 1.488×10-7
92 Trans-boat with nine 11 4 1.450×10-7
93 15-bent-paperclip 15 4 1.417×10-7
94 Beehive with nine 12 4 1.259×10-7
95 Very long barge 10 5 1.221×10-7
96 Trans-long boat with tail 11 4 1.181×10-7
97 Cis-R-bee and R-loaf 15 4 1.101×10-7
98 Hungry hat 11 4 1.051×10-7
99 Trans-boat on table 11 4 1.015×10-7
100 Cis-boat with nine 11 5 1.010×10-7
101 xs13_321fgkc 13 4 9.659×10-8
102 Loaf back tie loaf 14 4 9.069×10-8
103 Trans-R-bee and R-mango 16 4 8.256×10-8
104 Boat tie long boat 12 4 7.985×10-8
105 Cis-mirrored longhook 16 4 7.914×10-8
106 Trans-ship and dock 16 4 7.532×10-8
107 Trans-mango with tail 12 4 7.376×10-8
108 13-boat wrap eater 13 4 7.193×10-8
109 Bi-loaf 2 14 4 7.080×10-8
110 Para-R-bee on loaf 14 4 6.964×10-8
111 Inverted double claw 12 5 6.933×10-8
112 Big S with tub 15 4 6.859×10-8
113 ?13-head 13 4 6.632×10-8
114 R-bee on beehive 13 4 6.327×10-8
115 Cis-hook and R-loaf 15 4 6.250×10-8
116 Boat with hooked tail 11 4 5.985×10-8
117 Pond on R-loaf 16 4 5.844×10-8
118 Carrier siamese carrier 10 4 5.832×10-8
119 Very long shillelagh 10 4 5.771×10-8
120 Pond and cap 16 4 5.769×10-8
121 House siamese shillelagh 13 5 5.731×10-8
122 Long hook with tail 9 5 5.706×10-8
123 Snake with feather 11 4 5.676×10-8
124 Trans-hook and R-loaf 15 4 5.528×10-8
125 Aircraft carrier with feather 11 4 5.433×10-8
126 Carrier siamese dock 14 4 5.350×10-8
127 Cis-mirrored offset hooks 14 4 5.332×10-8
128 Long^3 boat 11 4 5.324×10-8
129 Cis-beehive and longhook 14 4 5.104×10-8
130 xs14_g8id96z121 14 5 4.814×10-8
131 Cis-barge with tail 10 4 4.704×10-8
132 Krake 13 4 4.509×10-8
133 Ship tie snake 12 5 4.506×10-8
134 ?14-beehive with long bend tail 14 4 4.495×10-8
135 12-loop 12 4 4.217×10-8
136 xs13_354mp3 13 4 4.137×10-8
137 Sidewalk 14 4 3.986×10-8
138 xs14_2egu156 14 5 3.857×10-8
139 xs13_08ka96z321 13 5 3.788×10-8
140 Para-hook and R-havoc 16 4 3.707×10-8

See also