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 | 0.496 |
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 | 4 | 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 | Canoe | 8 | 4 | 0.00000540 |
32 | Cis-mirrored R-bee | 14 | 4 | 0.00000398 |
33 | Moose antlers | 15 | 4 | 0.00000358 |
34 | Beehive on dock | 16 | 4 | 0.00000292 |
35 | Block on table | 10 | 4 | 0.00000291 |
36 | Block on dock | 14 | 4 | 0.00000265 |
37 | Scorpion | 16 | 4 | 0.00000213 |
38 | Beehive with tail | 10 | 4 | 0.00000176 |
39 | Twin hat | 17 | 5 | 0.00000168 |
40 | Loop | 10 | 5 | 0.00000144 |
41 | Long snake | 7 | 4 | 0.00000142 |
42 | Fourteener | 14 | 4 | 0.00000140 |
43 | Cis-boat with tail | 9 | 4 | 9.225×10-7 |
44 | Cis-shilllelagh | 10 | 4 | 7.571×10-7 |
45 | Prodigal | 10 | 4 | 6.219×10-7 |
46 | Broken snake | 10 | 4 | 5.623×10-7 |
46 | Very long snake | 9 | 4 | 4.687×10-7 |
47 | Boat with long tail | 10 | 4 | 4.358×10-7 |
48 | Long shillelagh | 9 | 4 | 4.188×10-7 |