List of common still lifes
Jump to navigation
Jump to 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 | Half-bakery | 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 |