Difference between revisions of "List of common still lifes"
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(Note that glider costs are as of July 2019) |
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| [[Trans barge with tail]] | | [[Trans-barge with tail]] | ||
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| | | {{LinkCatagolue|xs13_321fgkc|style=raw}} | ||
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| | | {{LinkCatagolue|xs19_69icw8ozxdd11|patternname=Mango with block on dock|style=raw}} | ||
| {{slcells|19}} | | {{slcells|19}} | ||
| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs16_0ca952z2553|patternname=Trans-R-bee and R-mango|style=raw}} | ||
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| | | {{LinkCatagolue|xs16_3hu0uh3|patternname=Cis-mirrored longhook|style=raw}} | ||
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| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs19_69bo7pic|style=raw}} | ||
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| | | {{LinkCatagolue|xs16_3lk453z321|patternname=Trans-ship and dock|style=raw}} | ||
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| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs13_31egma4|patternname=13-boat wrap eater|style=raw}} | ||
| 13 | | 13 | ||
| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs14_g8o69a4z121|patternname=Para-R-bee on loaf|style=raw}} | ||
| 14 | | 14 | ||
| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs15_0gilicz346|patternname=Big S with tub|style=raw}} | ||
| 15 | | 15 | ||
| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs17_2ege1t6zx11|style=raw}} | ||
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| 4 | | 4 | ||
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| | | {{LinkCatagolue|xs13_32qb96|patternname=?13-head|style=raw}} | ||
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| 4 | | 4 | ||
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! 120 | ! 120 | ||
| | | {{LinkCatagolue|xs13_g8ge96z121|patternname=R-bee on beehive|style=raw}} | ||
| 13 | | 13 | ||
| 4 | | 4 | ||
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! 121 | ! 121 | ||
| | | {{LinkCatagolue|xs15_259e0e93|patternname=Cis-hook and R-loaf|style=raw}} | ||
| 15 | | 15 | ||
| 4 | | 4 | ||
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! 124 | ! 124 | ||
| | | {{LinkCatagolue|xs16_0ggca96z3443|patternname=Pond on R-loaf|style=raw}} | ||
| 16 | | 16 | ||
| 5 | | 5 | ||
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| | | {{LinkCatagolue|xs16_69960uic|patternname=Pond and cap|style=raw}} | ||
| 16 | | 16 | ||
| 4 | | 4 | ||
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! 128 | ! 128 | ||
| | | {{LinkCatagolue|xs13_354djo|patternname=House siamese shillelagh|style=raw}} | ||
| 13 | | 13 | ||
| 5 | | 5 | ||
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! 130 | ! 130 | ||
| | | {{LinkCatagolue|xs18_0mmge96z1221|style=raw}} | ||
| 18 | | 18 | ||
| {{gliders| | | {{gliders|6|brief}} | ||
| 5.678×10<sup>-8 | | 5.678×10<sup>-8 | ||
|- | |- | ||
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! 132 | ! 132 | ||
| | | {{LinkCatagolue|xs15_259e0eio|patternname=Trans-hook and R-loaf|style=raw}} | ||
| 15 | | 15 | ||
| 4 | | 4 | ||
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! 134 | ! 134 | ||
| [[Barge siamese loaf]] | |||
| 10 | |||
| 5 | |||
| 5.372×10<sup>-8 | |||
|- | |||
! 135 | |||
| [[Carrier siamese dock]] | | [[Carrier siamese dock]] | ||
| 14 | | 14 | ||
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| 5.350×10<sup>-8 | | 5.350×10<sup>-8 | ||
|- | |- | ||
! | ! 136 | ||
| | | {{LinkCatagolue|xs14_g4s079cz11|patternname=Cis-mirrored offset hooks|style=raw}} | ||
| 14 | | 14 | ||
| 4 | | 4 | ||
| 5.332×10<sup>-8 | | 5.332×10<sup>-8 | ||
|- | |- | ||
! | ! 137 | ||
| [[Long^3 boat]] | | [[Long^3 boat]] | ||
| 11 | | 11 | ||
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| 5.324×10<sup>-8 | | 5.324×10<sup>-8 | ||
|- | |- | ||
! | ! 138 | ||
| [[Cis-mirrored worm]] | | [[Cis-mirrored worm]] | ||
| {{slcells|22}} | | {{slcells|22}} | ||
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| 5.252×10<sup>-8 | | 5.252×10<sup>-8 | ||
|- | |- | ||
! | ! 139 | ||
| | | {{LinkCatagolue|xs14_3hu0696|patternname=Cis-beehive and longhook|style=raw}} | ||
| 14 | | 14 | ||
| 4 | | 4 | ||
| 5.104×10<sup>-8 | | 5.104×10<sup>-8 | ||
|- | |- | ||
! | ! 140 | ||
| | | {{LinkCatagolue|xs14_g8id96z121|style=raw}} | ||
| 14 | | 14 | ||
| 5 | | 5 | ||
| 4.814×10<sup>-8 | | 4.814×10<sup>-8 | ||
|- | |- | ||
! | ! 141 | ||
| | | {{LinkCatagolue|xs22_08o0u93zoif032|patternname=?22-trans-mirrored long|style=raw}} | ||
| 22 | | 22 | ||
| 6 | |||
| 4.772×10<sup>-8 | | 4.772×10<sup>-8 | ||
|- | |- | ||
! | ! 142 | ||
| [[Cis-barge with tail]] | | [[Cis-barge with tail]] | ||
| 10 | | 10 | ||
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| 4.704×10<sup>-8 | | 4.704×10<sup>-8 | ||
|- | |- | ||
! | ! 143 | ||
| | | {{LinkCatagolue|xs13_31ege13|patternname=Krake|style=raw}} | ||
| 13 | | 13 | ||
| 4 | | 4 | ||
| 4.509×10<sup>-8 | | 4.509×10<sup>-8 | ||
|- | |- | ||
! | ! 144 | ||
| [[Ship tie snake]] | | [[Ship tie snake]] | ||
| 12 | | 12 | ||
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| 4.506×10<sup>-8 | | 4.506×10<sup>-8 | ||
|- | |- | ||
! | ! 145 | ||
| | | {{LinkCatagolue|xs14_31egm96|patternname=?14-beehive with long bend tail|style=raw}} | ||
| 14 | | 14 | ||
| 4 | | 4 | ||
| 4.495×10<sup>-8 | | 4.495×10<sup>-8 | ||
|- | |- | ||
! | ! 146 | ||
| [[Pond on dock]] | | [[Pond on dock]] | ||
| 18 | | 18 | ||
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| 4.285×10<sup>-8 | | 4.285×10<sup>-8 | ||
|- | |- | ||
! | ! 147 | ||
| [[12-loop]] | | [[12-loop]] | ||
| 12 | | 12 | ||
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| 4.217×10<sup>-8 | | 4.217×10<sup>-8 | ||
|- | |- | ||
! | ! 148 | ||
| | | {{LinkCatagolue|xs13_354mp3|style=raw}} | ||
| 13 | | 13 | ||
| 4 | | 4 | ||
| 4.137×10<sup>-8 | | 4.137×10<sup>-8 | ||
|- | |- | ||
! | ! 149 | ||
| [[O quad-loaf]] | | [[O quad-loaf]] | ||
| {{slcells|28}} | | {{slcells|28}} | ||
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| 4.003×10<sup>-8 | | 4.003×10<sup>-8 | ||
|- | |- | ||
! | ! 150 | ||
| [[Sidewalk]] | | [[Sidewalk]] | ||
| 14 | | 14 | ||
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| 3.986×10<sup>-8 | | 3.986×10<sup>-8 | ||
|- | |- | ||
! | ! 151 | ||
| | | {{LinkCatagolue|xs14_2egu156|style=raw}} | ||
| 14 | | 14 | ||
| 5 | | 5 | ||
| 3.857×10<sup>-8 | | 3.857×10<sup>-8 | ||
|- | |- | ||
! | ! 152 | ||
| | | {{LinkCatagolue|xs13_08ka96z321|style=raw}} | ||
| 13 | | 13 | ||
| 5 | | 5 | ||
| 3.788×10<sup>-8 | | 3.788×10<sup>-8 | ||
|- | |- | ||
! | ! 153 | ||
| | | {{LinkCatagolue|xs16_259aczx6513|patternname=Para-hook and R-havoc|style=raw}} | ||
| 16 | | 16 | ||
| 4 | | 4 | ||
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*[[List of common oscillators]] | *[[List of common oscillators]] | ||
*[[List of common spaceships]] | *[[List of common spaceships]] | ||
*[[List of common still lifes in HighLife]] | |||
[[Category:Lists of patterns]] | [[Category:Lists of patterns]] |
Revision as of 15:49, 16 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 minimum known glider synthesis, as of July 2019, of each still life is also displayed. 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 | 8 | 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 | Up dove on dove | 18 | 4 | 2.342×10-7 |
79 | Trans-rotated R-bee | 14 | 4 | 2.335×10-7 |
80 | Up wing on wing | 16 | 4 | 2.284×10-7 |
81 | R-bee and snake | 13 | 4 | 2.090×10-7 |
82 | Boat tie eater tail | 12 | 4 | 1.966×10-7 |
83 | Snorkel loop | 12 | 4 | 1.880×10-7 |
84 | Beehive on table | 12 | 4 | 1.859×10-7 |
85 | Cis-boat on table | 11 | 4 | 1.812×10-7 |
86 | Trans-barge with tail | 10 | 4 | 1.685×10-7 |
87 | Trans-boat on dock | 15 | 4 | 1.580×10-7 |
88 | Beehive on cap | 14 | 4 | 1.561×10-7 |
89 | Beehive at beehive | 12 | 4 | 1.558×10-7 |
90 | Ship on long boat | 13 | 5 | 1.548×10-7 |
91 | Cis-boat and cap | 13 | 4 | 1.494×10-7 |
92 | Beehive bend tail | 12 | 4 | 1.488×10-7 |
93 | Trans-boat with nine | 11 | 4 | 1.450×10-7 |
94 | 15-bent-paperclip | 15 | 4 | 1.417×10-7 |
95 | Beehive with nine | 12 | 4 | 1.259×10-7 |
96 | Very long barge | 10 | 5 | 1.221×10-7 |
97 | Trans-long boat with tail | 11 | 4 | 1.181×10-7 |
98 | Cis-R-bee and R-loaf | 15 | 4 | 1.101×10-7 |
99 | Hungry hat | 11 | 4 | 1.051×10-7 |
100 | Trans-boat on table | 11 | 4 | 1.015×10-7 |
101 | Cis-boat with nine | 11 | 5 | 1.010×10-7 |
102 | xs13_321fgkc | 13 | 4 | 9.659×10-8 |
103 | Loaf back tie loaf | 14 | 4 | 9.069×10-8 |
104 | Loaf tie eater with tail | 18 | 4 | 8.909×10-8 |
105 | Mango with block on dock | 19 | 4 | 8.579×10-8 |
106 | Trans-R-bee and R-mango | 16 | 4 | 8.256×10-8 |
107 | Rotated C | 18 | 4 | 8.005×10-8 |
108 | Boat tie long boat | 12 | 4 | 7.985×10-8 |
109 | Cis-mirrored longhook | 16 | 4 | 7.914×10-8 |
110 | xs19_69bo7pic | 19 | 4 | 7.615×10-8 |
111 | Trans-ship and dock | 16 | 4 | 7.532×10-8 |
112 | Trans-mango with tail | 12 | 4 | 7.376×10-8 |
113 | 13-boat wrap eater | 13 | 4 | 7.193×10-8 |
114 | Bi-loaf 2 | 14 | 4 | 7.080×10-8 |
115 | Para-R-bee on loaf | 14 | 4 | 6.964×10-8 |
116 | Inverted double claw | 12 | 5 | 6.933×10-8 |
117 | Big S with tub | 15 | 4 | 6.859×10-8 |
118 | xs17_2ege1t6zx11 | 17 | 4 | 6.634×10-8 |
119 | ?13-head | 13 | 4 | 6.632×10-8 |
120 | R-bee on beehive | 13 | 4 | 6.327×10-8 |
121 | Cis-hook and R-loaf | 15 | 4 | 6.250×10-8 |
122 | Boat with hooked tail | 11 | 4 | 5.985×10-8 |
123 | Longhook and dock | 18 | 5 | 5.904×10-8 |
124 | Pond on R-loaf | 16 | 5 | 5.844×10-8 |
125 | Carrier siamese carrier | 10 | 4 | 5.832×10-8 |
126 | Very long shillelagh | 10 | 4 | 5.771×10-8 |
127 | Pond and cap | 16 | 4 | 5.769×10-8 |
128 | House siamese shillelagh | 13 | 5 | 5.731×10-8 |
129 | Long hook with tail | 9 | 5 | 5.706×10-8 |
130 | xs18_0mmge96z1221 | 18 | 6 | 5.678×10-8 |
131 | Snake with feather | 11 | 4 | 5.676×10-8 |
132 | Trans-hook and R-loaf | 15 | 4 | 5.528×10-8 |
133 | Carrier with feather | 11 | 4 | 5.433×10-8 |
134 | Barge siamese loaf | 10 | 5 | 5.372×10-8 |
135 | Carrier siamese dock | 14 | 4 | 5.350×10-8 |
136 | Cis-mirrored offset hooks | 14 | 4 | 5.332×10-8 |
137 | Long^3 boat | 11 | 4 | 5.324×10-8 |
138 | Cis-mirrored worm | 22 | 4 | 5.252×10-8 |
139 | Cis-beehive and longhook | 14 | 4 | 5.104×10-8 |
140 | xs14_g8id96z121 | 14 | 5 | 4.814×10-8 |
141 | ?22-trans-mirrored long | 22 | 6 | 4.772×10-8 |
142 | Cis-barge with tail | 10 | 4 | 4.704×10-8 |
143 | Krake | 13 | 4 | 4.509×10-8 |
144 | Ship tie snake | 12 | 5 | 4.506×10-8 |
145 | ?14-beehive with long bend tail | 14 | 4 | 4.495×10-8 |
146 | Pond on dock | 18 | 4 | 4.285×10-8 |
147 | 12-loop | 12 | 4 | 4.217×10-8 |
148 | xs13_354mp3 | 13 | 4 | 4.137×10-8 |
149 | O quad-loaf | 28 | 6 | 4.003×10-8 |
150 | Sidewalk | 14 | 4 | 3.986×10-8 |
151 | xs14_2egu156 | 14 | 5 | 3.857×10-8 |
152 | xs13_08ka96z321 | 13 | 5 | 3.788×10-8 |
153 | Para-hook and R-havoc | 16 | 4 | 3.707×10-8 |