User:ColorfulGalaxy/List of polyominoes by apgcode
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A polyomino is a finite collection of orthogonally connected cells.
This article lists polyominoes with up to 8 bits by apgcode.
Patterns
Haplominoes
There is only one haplomino, and by itself it dies after one generation. Several objects, such as the middleweight spaceship, produce dot sparks.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life | F/L in Conway's Life | Envelope size in Conway's Life |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠁ | xp0_1 | o! | Dot | D8_1 | 4 | 1×1 | 4 | 4 | 1 | 1 | 0 | 0 | 1 |
Dominoes
There is also only one domino and by itself it too dies after one generation.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life | F/L in Conway's Life | Envelope size in Conway's Life |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠆ | xp0_3 | 2o! | Domino | D4_+2 | 6 | 1×2 | 6 | 6 | 2 | 1 | 0 | 0 | 2 |
Triominoes
There are exactly two distinct triominoes. Both of them have perimeter 8.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull [note 1] | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life | F/L in Conway's Life | Envelope size in Conway's Life |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠲ | xp0_13 | 2o$o! | Pre-block | D2_x | 8 | 2×2 | 6 +1√2 | 7.414213 | 3.5 | 1 | 4 | 4 | 4 |
| ⠇ | xp2_7 | 3o! | Blinker | D4_+1 | 8 | 1×3 | 8 | 8 | 3 | 0 | 3 | 8 | 5 |
Tetrominoes
There are five distinct tetrominoes.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life | F/L in Conway's Life | Envelope size in Conway's Life |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠹ | xp0_17 | 3o$o! | Tail | C1 | 10 | 2×3 | 7 +1√5 | 9.236067 | 5 | 3 | 6 | 2 | 8 |
| ⠺ | xp0_27 | 3o$bo! | T-tetromino | D2_+1 | 10 | 2×3 | 6 +2√2 | 8.828427 | 5 | 9 | 12 | 1.333 | 37 |
| ⠶ | xs4_33 | 2o$2o! | Block | D8_4 | 8 | 2×2 | 8 | 8.000000 | 4 | 0 | 4 | 8 | 4 |
| ⠳ | xp0_36 | 2o$b2o! | Z-tetromino | C2_2 | 10 | 2×3 | 6 +2√2 | 8.828427 | 5 | 2 | 6 | 3 | 8 |
| ⡇ | xp0_f | 4o! | I-tetromino | D4_+2△ | 10 | 1×4 | 10 | 10.000000 | 4 | 2 | 6 | 3 | 8 |
Pentominoes
There are 12 distinct pentominoes. John Conway assigned them all letters in the range O to Z, loosely based on their shapes, and they are all shown below in order.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life | F/L in Conway's Life | Envelope size in Conway's Life [note 2] |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠉⠇ | xp0_117 | 3o$o$o! | V-pentomino | D2_x | 12 | 3×3 | 8 +2√2 | 10.828427 | 7 | 3 | 7 | 2.333 | 10 |
| ⠙⠆ | xp0_136 | b2o$2o$o! | W-pentomino | D2_x | 12 | 3×3 | 6 +3√2 | 10.242640 | 6.5 | 2 | 7 | 3.5 | 10 |
| ⠹⠁ | xp0_171 | o$3o$o! | T-pentomino | D2_+1 | 12 | 3×3 | 6 +2√5 | 10.472135 | 7 | 10 | 12 | 1.2 | 37 |
| ⠹⠂ | xp0_172 | o$3o$bo! | R-pentomino | C1 | 12 | 3×3 | 5 +2√2 +1√5 | 10.064495 | 7 | 1103 | 116 | 0.105 | |
| ⠹⠄ | xp0_174 | o$3o$2bo! | Z-pentomino | C2_1 | 12 | 3×3 | 6 +2√5 | 10.472135 | 7 | 3 | 0 | 0 | 7 |
| ⢹ | xp0_1f | 4o$o! | Q-pentomino | C1 | 12 | 2×4 | 8 +1√10 | 11.162277 | 6.5 | 9 | 12 | 1.333 | 37 |
| ⠺⠂ | xp0_272 | bo$3o$bo! | X-pentomino | D8_1 | 12 | 3×3 | 4 +4√2 | 9.656854 | 7 | 6 | 12 | 2 | 37 |
| ⢺ | xp0_2f | 4o$bo! | Y-pentomino | C1 | 12 | 2×4 | 7 +1√2 +1√5 | 10.650281 | 6.5 | 3 | 0 | 0 | 10 |
| ⠻ | xp0_37 | 3o$2o! | P-pentomino | C1 | 10 | 2×3 | 8 +1√2 | 9.414213 | 5.5 | 4 | 0 | 0 | 7 |
| ⢳ | xp0_3e | b3o$2o! | S-pentomino | C1 | 12 | 2×4 | 7 +1√2 +1√5 | 10.650281 | 6.5 | 5 | 0 | 0 | 9 |
| ⠽ | xp0_57 | 3o$obo! | U-pentomino | D2_+1 | 12 | 2×3 | 10 | 10.000000 | 6 | 4 | 0 | 0 | 6 |
| ..... | xp0_v | 5o! | O-pentomino | D4_+1 | 12 | 1×5 | 12 | 12.000000 | 5 | 6 | 12 | 2 | 37 |
Hexominoes
There are 35 distinct hexominoes, the majority of which behave uninterestingly. The most interesting and well-known examples are century, stairstep hexomino, table, toad and Z-hexomino.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life | F/L in Conway's Life | Envelope size in Conway's Life [note 2] |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠉⡇ | xp0_11f | 4o$o$o! | C1 | 14 | 3×4 | 9 +1√13 | 12.605551 | 9 | 4 | 4 | 1 | 12 | |
| ⠙⠇ | xp0_137 | 3o$2o$o! | D2_x | 12 | 3×3 | 8 +2√2 | 10.828427 | 7 | 1 | 7 | 7 | 10 | |
| ⠙⡆ | xp0_13e | b3o$2o$o! | (Lumps of muck) | C1 | 14 | 3×4 | 7 +1√2 +1√13 | 12.019764 | 8.5 | 67 | 16 | 0.239 | 282 |
| ⠩⠇ | xp0_157 | 3o$o$2o! | (Unknown reaction) | C1 | 14 | 3×3 | 9 +1√5 | 11.236067 | 8 | 1102 | 116 | 0.105 | |
| ⠹⠃ | xp0_173 | 2o$3o$o! | C1 | 12 | 3×3 | 7 +1√2 | 10.650281 | 7.5 | 4 | 0 | 0 | 8 | |
| ⠹⠅ | xp0_175 | 2o$bo$3o! | C1 | 14 | 3×3 | 9 +1√5 | 11.236067 | 8 | 9 | 0 | 0 | 14 | |
| ⠹⠆ | xp0_176 | b2o$3o$o! | (The difference between LWSS and HWSS) | C1 | 12 | 3×3 | 7 +1√2 +1√5 | 10.650281 | 7.5 | 4 | 0 | 0 | 9 |
| ⠹⡄ | xp0_17c | 2b2o$3o$o! | C1 | 14 | 3×4 | 6 +1√2 +2√5 | 11.886349 | 8.5 | 6 | 0 | 0 | 11 | |
| ⢹⠁ | xp0_1f1 | o$4o$o! | (Unknown reaction) | D2_+1 | 14 | 3×4 | 6 +2√10 | 12.324555 | 9 | 176 | 55 | 0.313 | 1159 |
| ⢹⠂ | xp0_1f2 | bo$4o$o! | C1 | 14 | 3×4 | 5 +1√2 +1√5 +1√10 | 11.812559 | 9 | 7 | 0 | 0 | 11 | |
| ⢹⠄ | xp0_1f4 | 2bo$4o$o! | C1 | 14 | 3×4 | 5 +1√2 +1√5 +1√10 | 11.812559 | 9 | 5 | 0 | 0 | 11 | |
| ⢹⡀ | xp0_1f8 | 3bo$4o$o! | Z-hexomino | C2_2 | 14 | 3×4 | 6 +2√10 | 12.324555 | 9 | 45 | 0 | 0 | 72 |
| :.... | xp0_1v | 5o$o! | (1/4 of a Kok's_galaxy predecessor) | C1 | 14 | 2×5 | 9 +1√17 | 13.123105 | 8 | 40 | 6 | 0.15 | 93 |
| ⠒⡇ | xp0_22f | 4o$bo$bo! | C1 | 14 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 9 | 5 | 0 | 0 | 9 | |
| ⠚⡆ | xp0_23e | b3o$2o$bo! | (Lumps of muck) | C1 | 14 | 3×4 | 6 +4√2 | 11.656854 | 9 | 67 | 16 | 0.239 | 282 |
| ⠺⠃ | xp0_273 | 2o$3o$bo! | (Predecessor of the pond) | D2_x | 12 | 3×3 | 6 +3√2 | 10.242640 | 7.5 | 3 | 8 | 2.667 | 13 |
| ⠺⠅ | xp0_275 | 2o$b2o$2o! | (Common parent of the Pi-heptomino) | D2_+1 | 14 | 3×3 | 8 +2√2 | 10.828427 | 8 | 174 | 55 | 0.316 | 1156 |
| ⠺⡄ | xp0_27c | 2o$b3o$2bo! | Century (Parent of the bookend) | C1 | 14 | 3×4 | 5 +3√2 +1√5 | 11.478708 | 8.5 | 103 | 15 | 0.146 | 321 |
| ⢲⠃ | xp0_2e3 | 2o$b3o$bo! | C1 | 14 | 3×4 | 5 +3√5 | 11.708203 | 9 | 3 | 0 | 0 | 7 | |
| ⢺⠂ | xp0_2f2 | bo$4o$bo! | D2_+1 | 14 | 3×4 | 4 +2√2 +2√5 | 11.300563 | 9 | 5 | 0 | 0 | 9 | |
| ⢺⠄ | xp0_2f4 | bo$4o$2bo! | (Parent of the Aircraft carrier) | C2_2 | 14 | 3×4 | 4 +2√2 +2√5 | 11.300563 | 9 | 1 | 6 | 6 | 8 |
| .:... | xp0_2v | 5o$bo! | C1 | 14 | 2×5 | 8 +1√2 +1√10 | 12.576491 | 8 | 4 | 4 | 1 | 14 | |
| ⠓⡆ | xp0_32e | 2o$bo$b3o! | Ghost Herschel | C1 | 14 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 9 | 6 | 0 | 0 | 11 |
| ⠳⡄ | xp0_36c | 2o$b2o$2b2o! | Stairstep hexomino | C2_2 | 14 | 3×4 | 6 +4√2 | 11.656854 | 8 | 63 | 16 | 0.254 | 282 |
| ⢻ | xp0_3f | 4o$2o! | C1 | 12 | 2×4 | 9 +1√5 | 11.236067 | 7 | 2 | 5 | 2.5 | 8 | |
| ⠚⠉⠁ | xp0_3u | b4o$2o! | C1 | 14 | 2×5 | 8 +1√2 +1√10 | 12.576491 | 8 | 4 | 0 | 0 | 10 | |
| ..:.. | xp0_4v | 5o$2bo! | D2_+1 | 14 | 2×5 | 8 +2√5 | 12.472135 | 8 | 9 | 12 | 1.333 | 37 | |
| ⢽ | xp0_5f | 4o$obo! | C1 | 14 | 2×4 | 10 +1√2 | 11.414213 | 7.5 | 4 | 4 | 1 | 12 | |
| ⢾ | xp0_6f | 4o$b2o! | D2_+2 | 12 | 2×4 | 8 +1√2 | 10.828427 | 7 | 3 | 4 | 1.333 | 10 | |
| ⠿ | xp0_77 | 3o$3o! | Pre-beehive | D4_+2 | 10 | 2×3 | 10 | 10.000000 | 6 | 1 | 6 | 6 | 8 |
| ⢯ | xp0_7d | 3o$ob2o! | C1 | 14 | 2×4 | 10 +1√2 | 11.414213 | 7.5 | 4 | 5 | 1.25 | 9 | |
| ⢷ | xp2_7e | 3o$b3o! | Toad | C2_4 | 12 | 2×4 | 8 +2√2 | 10.828427 | 7 | 0 | 6 | 8 | 10 |
| ⠒⠋⠁ | xp0_7s | 3o$2b3o! | (Lumps of muck) | C2_2 | 14 | 2×5 | 8 +2√5 | 12.472135 | 8 | 64 | 16 | 0.25 | 282 |
| ⣹ | xp0_9f | 4o$o2bo! | Table | D2_+2 | 14 | 2×4 | 12 | 12.000000 | 8 | 15 | 0 | 0 | 34 |
| …… | xp0_vz1 △ | 6o! | D4_+1 | 14 | 1×6 | 14 | 14.000000 | 6 | 12 | 0 | 0 | 34 |
Heptominoes
There are 108 distinct heptominoes.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life[note 3] | F/L in Conway's Life | Envelope size in Conway's Life |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠉⢹ | xp0_111f | 4o$o$o$o! | (Unknown reaction) | D2_x | 16 | 4×4 | 10 +3√2 | 14.242640 | 11.5 | 36 | 12 | 0.333 | 101 |
| ⠉⢳ | xp0_113e | b3o$2o$o$o! | (1/4 of a cross) | D2_x | 16 | 4×4 | 8 +4√2 | 13.656854 | 11 | 6 | 7 | 1.167 | 14 |
| ⠉⢧ | xp0_117c | 2b2o$3o$o$o! | C1 | 16 | 4×4 | 7 +3√2 +1√5 | 13.478708 | 10.5 | 18 | 24 | 1.333 | 93 | |
| ⠉⡏ | xp0_11f1 | o$4o$o$o! | (Predecessor of the dot) | C1 | 16 | 4×4 | 7 +1√10 +1√13 | 13.767828 | 11.5 | 4 | 0 | 0 | 12 |
| ⠉⡗ | xp0_11f2 | bo$4o$o$o! | (Predecessor of the MWSS spark) | C1 | 16 | 4×4 | 6 +1√2 +1√5 +1√13 | 13.255832 | 11.5 | 4 | 0 | 0 | 11 |
| ⠉⡧ | xp0_11f4 | 2bo$4o$o$o! | C1 | 16 | 4×4 | 6 +1√2 +1√5 +1√13 | 13.255832 | 11.5 | 76 | 6 | 0.079 | 146 | |
| ⠉⣇ | xp0_11f8 | 3bo$4o$o$o! | F-heptomino | C1 | 16 | 4×4 | 7 +1√10 +1√13 | 13.767828 | 11.5 | 437 | 61 | 0.14 | |
| ⠉⠉⠇ | xp0_11v | 5o$o$o! | ("7" in Life Digits) | C1 | 16 | 3×5 | 10 +2√5 | 14.472135 | 11 | 4 | 8 | 2 | 17 |
| ⠙⢦ | xp0_136c | o$2o$b2o$2b2o! | (A-heptomino / 2 blocks + 2 TL) | D2_x | 16 | 4×4 | 6 +5√2 | 13.071067 | 9.5 | 177 | 32 | 0.181 | 565 |
| ⠙⡖ | xp0_13e2 | bo$b3o$2o$o! | C1 | 16 | 4×4 | 5 +2√5 +1√13 | 13.077687 | 11 | 2 | 4 | 2 | 8 | |
| ⠙⡦ | xp0_13e4 | 2bo$b3o$2o$o! | (Unknown reaction) | C1 | 16 | 4×4 | 5 +3√2 +1√13 | 12.848191 | 10.5 | 34 | 12 | 0.353 | 99 |
| ⠙⣆ | xp0_13e8 | 3bo$b3o$2o$o! | I-heptomino | C1 | 16 | 4×4 | 6 +1√2 +1√5 +1√13 | 13.255832 | 10.5 | 247 | 39 | 0.158 | |
| ⠉⠻ | xp0_13f | 4o$2o$o! | (Unknown reaction) | C1 | 14 | 3×4 | 9 +1√13 | 12.605551 | 9 | 105 | 15 | 0.143 | 321 |
| ⠞⠉⠁ | xp0_13u | b4o$2o$o! | C1 | 16 | 3×5 | 8 +1√2 +2√5 | 13.886349 | 10.5 | 5 | 0 | 0 | 13 | |
| ⠩⡇ | xp0_15f | 4o$obo$o! | C1 | 16 | 3×4 | 9 +1√2 +1√5 | 12.650281 | 9.5 | 18 | 6 | 0.333 | 46 | |
| ⠹⢤ | xp0_174c | 2b2o$2bo$3o$o! | D2_x | 16 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 11 | 5 | 7 | 1.4 | 12 | |
| ⠹⠇ | xp0_177 | 3o$3o$o! | C1 | 12 | 3×3 | 9 +1√5 | 11.236067 | 8 | 7 | 0 | 0 | 11 | |
| ⠹⡤ | xp0_17c4 | 2bo$2b2o$3o$o! | H-heptomino | C1 | 16 | 4×4 | 5 +4√2 +1√5 | 12.892922 | 11 | 247 | 39 | 0.158 | |
| ⠹⡅ | xp0_17d | o$3o$ob2o! | C1 | 16 | 3×4 | 9 +1√2 +1√5 | 12.650281 | 9.5 | 10 | 0 | 0 | 21 | |
| ⠹⡆ | xp0_17e | b3o$3o$o! | (Unknown reaction) | C1 | 14 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 9 | 66 | 16 | 0.242 | 282 |
| ⠉⠓⠆ | xp0_17s | 2b3o$3o$o! | (Glider predecessor) | C1 | 16 | 3×5 | 7 +3√5 | 13.708203 | 10 | 4 | 5 | 1.25 | |
| ⢉⡇ | xp0_19f | 4o$o2bo$o! | C1 | 16 | 3×4 | 10 +1√10 | 13.162277 | 10.5 | 23 | 24 | 1.043 | 93 | |
| ⢙⢰ | xp0_1be | b3o$2obo$o! | C1 | 16 | 3×4 | 8 +1√2 +1√10 | 12.576491 | 10 | 7 | 7 | 1 | 18 | |
| ⢩⠇ | xp0_1d7 | 3o$ob2o$o! | C1 | 16 | 3×4 | 8 +1√2 +1√10 | 12.576491 | 10 | 10 | 0 | 0 | 27 | |
| ⢹⠒ | xp0_1f22 | bo$bo$4o$o! | C1 | 16 | 4×4 | 5 +2√2 +1√5 +1√10 | 13.226772 | 11.5 | 2 | 0 | 0 | 8 | |
| ⢹⠃ | xp0_1f3 | 2o$4o$o! | C1 | 14 | 3×4 | 7 +1√5 +1√10 | 12.398345 | 9.5 | 4 | 0 | 0 | 8 | |
| ⢹⠤ | xp0_1f44 | bo$bo$4o$3bo! | C1 | 16 | 4×4 | 5 +2√2 +1√5 +1√10 | 13.226772 | 11.5 | 2 | 4 | 2 | 10 | |
| ⢹⠅ | xp0_1f5 | obo$4o$o! | (Unknown reaction) | C1 | 16 | 3×4 | 8 +1√2 +1√10 | 12.576491 | 10 | 176 | 55 | 0.313 | 1159 |
| ⢹⠆ | xp0_1f6 | b2o$4o$o! | C1 | 14 | 3×4 | 6 +2√2 +1√10 | 11.990704 | 9.5 | 4 | 6 | 1.5 | 13 | |
| ⢹⡁ | xp0_1f9 | o2bo$4o$o! | C1 | 16 | 3×4 | 10 +1√10 | 13.162277 | 10.5 | 14 | 12 | 0.857 | 47 | |
| ⢹⡂ | xp0_1fa | bobo$4o$o! | C1 | 16 | 3×4 | 8 +1√2 +1√10 | 12.576491 | 10 | 9 | 0 | 0 | 17 | |
| ⢹⡄ | xp0_1fc | 2b2o$4o$o! | C1 | 14 | 3×4 | 7 +1√5 +1√10 | 12.398345 | 9.5 | 5 | 6 | 1.2 | 10 | |
| ⠙⠒⠆ | xp0_1fo | o$4o$3b2o! | (Unknown reaction) | C1 | 16 | 3×5 | 6 +1√2 +2√10 | 13.738768 | 10.5 | 1108 | 116 | 0.105 | |
| ⠗⠒⠂ | xp0_1v1 | o$5o$o! | (Unknown reaction) | D2_+1 | 16 | 3×5 | 6 +2√17 | 14.246211 | 11 | 176 | 55 | 0.313 | 1160 |
| ⠞⠒⠂ | xp0_1v2 | bo$5o$o! | C1 | 16 | 3×5 | 5 +1√2 +1√10 +1√17 | 13.699596 | 11 | 7 | 0 | 0 | 14 | |
| ⠖⠓⠂ | xp0_1v4 | 2bo$5o$o! | C1 | 16 | 3×5 | 5 +2√5 +1√17 | 13.595241 | 11 | 5 | 0 | 0 | 12 | |
| ⠖⠚⠂ | xp0_1v8 | 3bo$5o$o! | C1 | 16 | 3×5 | 5 +1√2 +1√10 +1√17 | 13.699596 | 11 | 5 | 6 | 1.2 | 16 | |
| ⠖⠒⠃ | xp0_1vg | 4bo$5o$o! | C2_1 | 16 | 3×5 | 6 +2√17 | 14.246211 | 11 | 2 | 6 | 3 | 15 | |
| ⠒⡗ | xp0_22f2 | bo$4o$bo$bo! | Untileable heptomino | D2_x | 16 | 4×4 | 4 +3√2 +2√5 | 12.714776 | 11.5 | 2 | 4 | 2 | 8 |
| ⠒⡧ | xp0_22f4 | 2bo$4o$bo$bo! | Untileable heptomino | C1 | 16 | 4×4 | 4 +3√2 +2√5 | 12.714776 | 11.5 | 2 | 4 | 2 | 8 |
| ⠹⠉⠁ | xp0_22v | 5o$bo$bo! | C1 | 16 | 3×5 | 8 +1√5 +1√13 | 13.841619 | 11 | 7 | 6 | 0.857 | 20 | |
| ⠚⡦ | xp0_23e4 | bo$2o$b3o$2bo! | (Butterfly) | D2_x | 16 | 4×4 | 4 +6√2 | 12.485281 | 11 | 34 | 12 | 0.353 | 99 |
| ⠚⡇ | xp0_23f | 4o$2o$bo! | C1 | 14 | 3×4 | 8 +3√2 | 12.242640 | 9.5 | 4 | 4 | 1 | 10 | |
| ⠺⠉⠁ | xp0_23u | b4o$2o$bo! | C1 | 16 | 3×5 | 7 +2√2 +1√13 | 13.433978 | 11 | 5 | 0 | 0 | 13 | |
| ⠲⡇ | xp0_26f | 4o$b2o$bo! | (Unknown reaction) | C1 | 14 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 9 | 19 | 24 | 1.263 | 93 |
| ⠺⠇ | xp0_277 | 2o$3o$2o! | Bullet heptomino | D2_+1 | 12 | 3×3 | 8 +2√2 | 10.828427 | 8 | 8 | 12 | 1.5 | 37 |
| ⠺⡅ | xp0_27d | ob2o$3o$bo! | B-heptomino | C1 | 16 | 3×4 | 8 +3√2 | 12.242640 | 9.5 | 148 | 28 | 0.189 | |
| ⠺⢰ | xp0_27e | b3o$3o$bo! | C-heptomino | C1 | 14 | 3×4 | 7 +4√2 | 12.656854 | 9 | 148 | 28 | 0.189 | |
| ⠲⠋⠁ | xp0_27s | 2b3o$3o$bo! | C1 | 16 | 3×5 | 6 +1√2 +1√5 +1√13 | 13.255832 | 10.5 | 15 | 3 | 0.2 | 37 | |
| ⢒⡇ | xp0_2af | 4o$obo$2bo! | (Glider predecessor) | C1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 4 | 5 | 1.25 | |
| ⢚⢰ | xp0_2be | b3o$2obo$bo! | C1 | 16 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 10 | 16 | 24 | 1.5 | 93 | |
| ⢲⠇ | xp0_2e7 | 3o$b3o$bo! | C1 | 14 | 3×4 | 6 +1√2 +2√5 | 11.886349 | 9.5 | 3 | 0 | 0 | 9 | |
| ⢲⡃ | xp0_2eb | 2obo$b3o$bo! | C1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 4 | 0 | 0 | 9 | |
| ⢺⠃ | xp0_2f3 | 2o$4o$bo! | C1 | 14 | 3×4 | 6 +1√2 +2√5 | 11.886349 | 9.5 | 3 | 0 | 0 | 8 | |
| ⢺⠅ | xp0_2f5 | obo$4o$bo! | C1 | 16 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 10 | 15 | 14 | 0.933 | 42 | |
| ⢺⠆ | xp0_2f6 | b2o$4o$bo! | C1 | 14 | 3×4 | 5 +3√2 +1√5 | 11.478708 | 9.5 | 7 | 0 | 0 | 13 | |
| ⢺⡁ | xp0_2f9 | o2bo$4o$bo! | C1 | 16 | 3×4 | 9 +1√2 +1√5 | 12.650281 | 10.5 | 7 | 0 | 0 | 11 | |
| ⢺⡂ | xp0_2fa | bobo$4o$bo! | C1 | 16 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 10 | 9 | 0 | 0 | 15 | |
| ⢺⡄ | xp0_2fc | 2o$4o$2bo! | C1 | 14 | 3×4 | 6 +1√2 +2√5 | 11.886349 | 9.5 | 6 | 0 | 0 | 10 | |
| ⠲⠚⠁ | xp0_2fo | 2o$b4o$3bo! | Procrastinator | C1 | 16 | 3×5 | 5 +2√2 +1√5 +1√10 | 13.226772 | 10.5 | 76 | 6 | 0.079 | 146 |
| ⠹⠒⠂ | xp0_2u3 | 2o$b4o$bo! | C1 | 16 | 3×5 | 5 +1√5 +2√10 | 13.560623 | 11 | 8 | 12 | 1.5 | 37 | |
| ⠺⠒⠂ | xp0_2v2 | bo$5o$bo! | (xs8_33x33) | D2_+1 | 16 | 3×5 | 4 +2√2 +2√10 | 13.152982 | 11 | 10 | 8 | 0.8 | 30 |
| ⠲⠓⠂ | xp0_2v4 | 2bo$5o$bo! | (Unknown reaction) | C1 | 16 | 3×5 | 4 +1√2 +2√5 +1√10 | 13.048627 | 11 | 177 | 55 | 0.311 | 1157 |
| ⠲⠚⠂ | xp0_2v8 | 3bo$5o$bo! | C2_1 | 16 | 3×5 | 4 +2√2 +2√10 | 13.152982 | 11 | 3 | 0 | 0 | 13 | |
| ⠋⡇ | xp0_31f | 4o$o$2o! | C1 | 16 | 3×4 | 10 +2√2 | 12.828427 | 10 | 5 | 6 | 1.2 | 14 | |
| ⠓⡇ | xp0_32f | 4o$bo$2o! | C1 | 16 | 3×4 | 10 +2√2 | 12.828427 | 10 | 5 | 0 | 0 | 11 | |
| ⠼⠉⠁ | xp0_32u | b4o$bo$2o! | C1 | 16 | 3×5 | 8 +1√5 +1√13 | 13.841619 | 11 | 5 | 6 | 1.2 | ||
| ⠛⡆ | xp0_33e | b3o$2o$2o! | C1 | 14 | 3×4 | 8 +3√2 | 12.242640 | 9.5 | 11 | 12 | 1.091 | ||
| ⠫⠇ | xp0_357 | 3o$obo$2o! | Untileable heptomino | D2_x | 16 | 3×3 | 10 +1√2 | 11.414213 | 8.5 | 1 | 7 | 7 | |
| ⠞⠇ | xp0_367 | 3o$2o$b2o! | (T1 of Q-pentomino) | C1 | 14 | 3×3 | 10 +1√2 | 11.414213 | 8.5 | 8 | 12 | 1.5 | |
| ⠳⡆ | xp0_36e | 2o$b2o$b3o! | (Unknown reaction) | C1 | 14 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 9 | 66 | 16 | 0.242 | |
| ⠴⠋⠁ | xp0_36s | 2o$b2o$2b3o! | (Predecessor of the Procrastinator) | C1 | 16 | 3×5 | 7 +2√2 +1√13 | 13.433978 | 10 | 74 | 6 | 0.081 | |
| ⠾⠃ | xp0_376 | 2o$3o$b2o! | (T1 of Y-pentomino) | D4_x1 | 12 | 3×3 | 8 +2√2 | 10.828427 | 8 | 2 | 0 | 0 | |
| ⡼⠃ | xp0_37c | 2o$3o$2b2o! | C1 | 14 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 9 | 4 | 4 | 1 | ||
| ⣖⠃ | xp0_3ae | 2o$bobo$b3o! | C1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 66 | 16 | 0.242 | ||
| ⢳⠃ | xp0_3e3 | 2o$b3o$2o! | D2_+1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 2 | 0 | 0 | ||
| ⢳⠆ | xp0_3e6 | b2o$b3o$2o! | C1 | 14 | 3×4 | 6 +1√2 +2√5 | 11.886349 | 9.5 | 4 | 0 | 0 | ||
| ⣲⠃ | xp0_3ea | bobo$b3o$2o! | C1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 4 | 0 | 0 | ||
| ⠴⠚⠁ | xp0_3eo | 3b2o$b3o$2o! | (HF) | C2_1 | 16 | 3×5 | 6 +2√2 +2√5 | 13.300563 | 10 | 18 | 24 | 1.333 | |
| ⠙⠖⠂ | xp0_3u4 | 2o$b4o$2bo! | (HF) | C1 | 16 | 3×5 | 5 +2√2 +1√5 +1√10 | 13.226772 | 10.5 | 19 | 24 | 1.263 | |
| ::... | xp0_3v | 5o$2o! | (Alien RRO) | C1 | 14 | 2×5 | 10 +1√10 | 13.162277 | 8.5 | 17 | 24 | 1.412 | |
| ⠉⠏⠁ | xp0_44v | 5o$2bo$2bo! | D2_+1 | 16 | 3×5 | 8 +4√2 | 13.656854 | 11 | 2 | 6 | 3 | ||
| ⠒⠏⠁ | xp0_47s | 2b3o$3o$2bo! | C1 | 16 | 3×5 | 6 +2√2 +2√5 | 13.300563 | 11 | 3 | 6 | 2 | ||
| ⠒⠗⠂ | xp0_4v4 | 2bo$5o$2bo! | D4_+1 | 16 | 3×5 | 4 +4√5 | 12.944271 | 11 | 2 | 0 | 0 | ||
| ⠭⠇ | xp0_557 | 3o$o$3o! | Pi-heptomino | D2_+1 | 16 | 3×3 | 12 | 12.000000 | 9 | 173 | 55 | 0.318 | |
| ⠽⠅ | xp0_575 | 3o$bo$3o! | D4_+1 | 16 | 3×3 | 12 | 12.000000 | 9 | 6 | 0 | 0 | ||
| :.:.. | xp0_5v | 5o$obo! | (Glider predecessor) | C1 | 16 | 2×5 | 11 +1√5 | 13.236067 | 9 | 3 | 5 | 1.667 | |
| ⠖⡇ | xp0_62f | 4o$bo$b2o! | C1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 19 | 24 | 1.263 | ||
| ⠞⡆ | xp0_63e | b3o$2o$b2o! | E-heptomino | C1 | 16 | 3×4 | 7 +2√2 +1√5 | 12.064495 | 10 | 343 | 52 | 0.152 | |
| .::.. | xp0_6v | 5o$b2o! | C1 | 14 | 2×5 | 9 +1√2 +1√5 | 12.650281 | 8.5 | 176 | 55 | 0.313 | ||
| ⠹⠥ | xp0_72e | 3o$bo$b3o! | D-heptomino / Herschel | C1 | 16 | 3×4 | 8 +2√5 | 12.472135 | 10 | 128 | 24 | 0.188 | |
| ⠤⠏⠁ | xp0_74s | 3o$2bo$2b3o! | C2_1 | 16 | 3×5 | 8 +4√2 | 13.656854 | 11 | 18 | 24 | 1.333 | ||
| ⢿ | xp0_7f | 4o$3o! | C1 | 12 | 2×4 | 10 +1√2 | 11.414213 | 7.5 | 19 | 24 | 1.263 | ||
| ⠓⠋⠁ | xp0_7t | ob3o$3o! | (Angel / Alien 7P4H1V1 Predecessor) | C1 | 16 | 2×5 | 11 +1√5 | 13.236067 | 9 | 13 | 3 | 0.231 | |
| ⠚⠋⠁ | xp0_7u | b4o$3o! | C1 | 14 | 2×5 | 9 +1√2 +1√5 | 12.650281 | 8.5 | 6 | 4 | 0.667 | ||
| :..:. | xp0_9v | 5o$o2bo! | C1 | 16 | 2×5 | 12 +1√2 | 13.414213 | 9.5 | 6 | 6 | 1 | ||
| .:.:. | xp0_av | 5o$bobo! | D2_+1 | 16 | 2×5 | 10 +2√2 | 12.828427 | 9 | 4 | 6 | 1.5 | ||
| ⣻ | xp0_bf | 4o$2obo! | C1 | 14 | 2×4 | 12 | 12.000000 | 8 | 3 | 4 | 1.333 | ||
| ⠚⠙⠁ | xp0_bu | b4o$2obo! | C1 | 16 | 2×5 | 10 +2√2 | 12.828427 | 9 | 6 | 6 | 1 | ||
| ⠚⠙⠂ | xp0_er | 2ob2o$b3o! | (Predecessor of the house) | D2_+1 | 16 | 2×5 | 10 +2√2 | 12.828427 | 9 | 172 | 55 | 0.32 | |
| ⠋⠙⠂ | xp0_fp | 4o$o2b2o! | (Mathematician's boot) | C1 | 16 | 2×5 | 12 +1√2 | 13.414213 | 9.5 | 3 | 3 | 1 | |
| ⠚⠉⠉ | xp0_gvz1 △ | 2o$b5o! | C1 | 16 | 2×6 | 9 +1√2 +1√17 | 14.537319 | 9.5 | 4 | 4 | 1 | ||
| :...: | xp0_hv | 5o$o3bo! | Untileable heptomino | D2_+1 | 16 | 2×5 | 14 | 14.000000 | 10 | 32 | 58.666666 | 1.833 | |
| ⠒⠚⠉ | xp0_ofz1 △ | 3o$2b4o! | C1 | 16 | 2×6 | 9 +1√5 +1√10 | 14.398345 | 9.5 | 10 | 4 | 0.4 | ||
| :..... | xp0_v1z1 △ | 6o$o! | C1 | 16 | 2×6 | 10 +1√26 | 15.099019 | 9.5 | 13 | 7 | 0.538 | ||
| .:.... | xp0_v2z1 △ | 6o$bo! | C1 | 16 | 2×6 | 9 +1√2 +1√17 | 14.537319 | 9.5 | 5 | 7 | 1.4 | ||
| ..:... | xp0_v4z1 △ | 6o$2bo! | C1 | 16 | 2×6 | 9 +1√5 +1√10 | 14.398345 | 9.5 | 68 | 16 | 0.235 | ||
| ....... | xp0_vz3 △ | 7o! | (1x7 rectangle) | D4_+1 | 16 | 1×7 | 16 | 16.000000 | 7 | 14 | 24 | 1.714 |
Octominoes
There are 369 distinct octominoes.
| Pattern | Apgcode | RLE | Name | Symmetry | Perimeter | Bounding box | Perimeter of convex hull | Estimated perimeter of convex hull | Area of convex hull | Lifespan in Conway's Life | Final Population in Conway's Life[note 3] | F/L in Conway's Life | Envelope size in Conway's Life |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ⠓⠒⠲ | xp0_0v1z11 | 5bo$6o$o! | (Predecessor of the even-symmetric interchange) | C2_2 | 18 | 3×6 | 6 +2√26 | 16.198039 | 13 | 19 | 18 | 0.947 | |
| ⠚⠒⠲ | xp0_0v2z11 | 4bo$6o$o! | C1 | 18 | 3×6 | 5 +1√2 +1√17 +1√26 | 15.636338 | 13 | 3 | 3 | 1 | ||
| ⠒⠓⠲ | xp0_0v4z11 | 3bo$6o$o! | C1 | 18 | 3×6 | 5 +1√5 +1√10 +1√26 | 15.497365 | 13 | 5 | 6 | 1.2 | ||
| ⠒⠚⠲ | xp0_0v8z11 | 2bo$6o$o! | C1 | 18 | 3×6 | 5 +1√5 +1√10 +1√26 | 15.497365 | 13 | 7 | 4 | 0.571 | ||
| ⠒⠒⠳ | xp0_0vgz11 | bo$6o$o! | #36 (15621) on frequency list[2] | C1 | 18 | 3×6 | 5 +1√2 +1√17 +1√26 | 15.636338 | 13 | 50 | 8 | 0.16 | |
| ⠒⠒⠺ | xp0_0vz111 | o$6o$o! | (2 blinkers and 2 loaves) | D2_+1 | 18 | 3×6 | 6 +2√26 | 16.198039 | 13 | 37 | 20 | 0.541 | |
| ⡏⠉⠁ | xp0_111v | 5o$o$o$o! | C1 | 18 | 4×5 | 16 [note 4] | 16.000000 | 14 | 23 | 4 | 0.174 | ||
| ⠉⢻ | xp0_113f | 4o$2o$o$o! | (Predecessor of the long ship) | D2_x | 16 | 4×4 | 10 +3√2 | 14.242640 | 11.5 | 2 | 8 | 4 | |
| ⡞⠉⠁ | xp0_113u | b4o$2o$o$o! | C1 | 18 | 4×5 | 14 +1√2 [note 4] | 15.414213 | 13.5 | 4 | 0 | 0 | ||
| ⠉⢽ | xp0_115f | 4o$o$2o$o! | C1 | 18 | 4×4 | 10 +3√2 | 14.242640 | 11.5 | 13 | 0 | 0 | ||
| ⠉⢯ | xp0_117d | 4o$bo$2o$o! | (Predecessor of the Procrastinator) | C1 | 18 | 4×4 | 10 +3√2 | 14.242640 | 11.5 | 76 | 6 | 0.079 | |
| ⠉⢷ | xp0_117e | b3o$3o$o$o! | (Predecessor of the Procrastinator) | C1 | 16 | 4×4 | 8 +4√2 | 13.656854 | 11 | 76 | 6 | 0.079 | |
| ⡖⠋⠁ | xp0_117s | 2b3o$3o$o$o! | C1 | 18 | 4×5 | 13 +1√5 [note 4] | 15.236067 | 13 | 15 | 0 | 0 | ||
| ⠉⣹ | xp0_119f | 4o$o$o$2o! | (Predecessor of the Teardrop) | C1 | 18 | 4×4 | 11 +1√13 | 14.605551 | 13 | 29 | 12 | 0.414 | |
| ⠉⣳ | xp0_11be | b3o$2o$o$2o! | (Predecessor of the B-heptaplet) | C1 | 18 | 4×4 | 9 +1√2 +1√13 | 14.019764 | 12.5 | 152 | 28 | 0.184 | |
| ⠉⡽ | xp0_11d7 | 4o$o$2o$bo! | (4 blocks, 1 blinker, 1 boat, 1 beehive) (#64 (9208) on frequency list[2]) | C1 | 18 | 4×4 | 9 +1√2 +1√13 | 14.019764 | 12.5 | 269 | 30 | 0.112 | |
| ⠉⡟ | xp0_11f3 | 2o$4o$o$o! | C1 | 16 | 4×4 | 8 +1√5 +1√13 | 13.841619 | 12 | 5 | 6 | 1.2 | ||
| ⠉⡯ | xp0_11f5 | obo$4o$o$o! | C1 | 18 | 4×4 | 9 +1√2 +1√13 | 14.019764 | 12.5 | 3 | 0 | 0 | ||
| ⠉⡷ | xp0_11f6 | b2o$4o$o$o! | C1 | 16 | 4×4 | 7 +2√2 +1√13 | 13.433978 | 12 | 5 | 3 | 0.6 | ||
| ⠉⣏ | xp0_11f9 | o2bo$4o$o$o! | (Unknown reaction) | C1 | 18 | 4×4 | 11 +1√13 | 14.605551 | 13 | 99 | 16 | 0.162 | |
| ⠉⣗ | xp0_11fa | bobo$4o$o$o! | C1 | 18 | 4×4 | 9 +1√2 +1√13 | 14.019764 | 12.5 | 6 | 6 | Expression error: Unrecognized punctuation character "[". | ||
| ⠉⣧ | xp0_11fc | 2b2o$4o$o$o! | (Unknown reaction) | C1 | 16 | 4×4 | 8 +1√5 +1√13 | 13.841619 | 12 | 105 | 15 | 0.143 | |
| ⡖⠚⠁ | xp0_11fo | 3b2o$4o$o$o! | C1 | 18 | 4×5 | 7 +1√2 +1√10 +1√13 | 15.182042 | 13 | 5 | 4 | 0.8 | ||
| ⡗⠒⠂ | xp0_11v1 | o$5o$o$o! | C1 | 18 | 4×5 | 7 +2√5 +1√17 | 15.595241 | 14 | 5 | 0 | 0 | ||
| ⡞⠒⠂ | xp0_11v2 | bo$5o$o$o! | C1 | 18 | 4×5 | 6 +1√2 +2√5 +1√10 | 15.048627 | 14 | 4 | 0 | 0 | ||
| ⡖⠓⠂ | xp0_11v4 | 2bo$5o$o$o! | (Predecessor of the Procrastinator) | C1 | 18 | 4×5 | 6 +4√5 | 14.944271 | 14 | 76 | 6 | 0.079 | |
| ⡖⠚⠂ | xp0_11v8 | 3bo$5o$o$o! | C1 | 18 | 4×5 | 6 +1√2 +2√5 +1√10 | 15.048627 | 14 | 3 | 5 | 1.667 | ||
| ⡖⠒⠃ | xp0_11vg | 4bo$5o$o$o! | (xp2_33x7) | C1 | 18 | 4×5 | 7 +2√5 +1√17 | 15.595241 | 14 | 4 | 7 | 1.75 | |
| ⡼⠉⠁ | xp0_132u | b4o$bo$2o$o! | (Unknown reaction) | C1 | 18 | 4×5 | 13 +1√5 [note 4] | 15.236067 | 13 | 121 | 15 | 0.124 | |
| ⠙⢶ | xp0_136e | b3o$b2o$2o$o! | (Predecessor of the long boat) | C1 | 16 | 4×4 | 7 +3√2 +1√5 | 13.478708 | 10.5 | 4 | 7 | 1.75 | |
| ⡴⠋⠁ | xp0_136s | 2b3o$b2o$2o$o! | (Herschel without FNG) | C1 | 18 | 4×5 | 12 +2√2 [note 4] | 14.828427 | 12 | 115 | 19 | 0.165 | |
| ⠙⣲ | xp0_13ae | 2b2o$3o$o$2o! | (Predecessor of the O-pentomino) | C1 | 18 | 4×4 | 8 +1√5 +1√13 | 13.841619 | 12 | 11 | 12 | 1.091 | |
| ⠙⡞ | xp0_13e3 | 2o$b3o$2o$o! | C1 | 18 | 4×4 | 8 +1√5 +1√13 | 13.841619 | 12 | 3 | 6 | 2 | ||
| ⠙⡶ | xp0_13e6 | b2o$b3o$2o$o! | C1 | 16 | 4×4 | 6 +1√2 +1√5 +1√13 | 13.255832 | 11.5 | 4 | 5 | 1.25 | ||
| ⠙⣖ | xp0_13ea | 2b2o$3o$bo$2o! | C1 | 18 | 4×4 | 8 +1√5 +1√13 | 13.841619 | 12 | 4 | 5 | 1.25 | ||
| ⠙⣦ | xp0_13ec | 2b2o$b3o$2o$o! | (Alternative Two-glider octomino) | C1 | 16 | 4×4 | 7 +2√2 +1√13 | 13.433978 | 11 | 386 | 48 | 0.124 | |
| ⡴⠚⠁ | xp0_13eo | 3b2o$b3o$2o$o! | C1 | 18 | 4×5 | 6 +2√2 +1√5 +1√13 | 14.670046 | 12 | 6 | 0 | 0 | ||
| ⠙⡏ | xp0_13f1 | o$2o$4o$o! | (Predecessor of the Phi spark) | C1 | 16 | 4×4 | 7 +1√10 +1√13 | 13.767828 | 11.5 | 16 | 0 | 0 | |
| ⠙⡗ | xp0_13f2 | bo$4o$2o$o! | C1 | 16 | 4×4 | 6 +1√2 +1√5 +1√13 | 13.255832 | 11.5 | 2 | 3 | 1.5 | ||
| ⠙⡧ | xp0_13f4 | 2bo$4o$2o$o! | C1 | 16 | 4×4 | 6 +1√2 +1√5 +1√13 | 13.255832 | 11.5 | 11 | 0 | 0 | ||
| ⠙⣇ | xp0_13f8 | 3bo$4o$2o$o! | (Predecessor of the Barge) | C1 | 16 | 4×4 | 7 +1√10 +1√13 | 13.767828 | 11.5 | 3 | 6 | 2 | |
| ⡼⠒⠂ | xp0_13u2 | bo$b4o$2o$o! | C1 | 18 | 4×5 | 5 +3√5 +1√10 | 14.870481 | 13.5 | 8 | 0 | 0 | ||
| ⡴⠓⠂ | xp0_13u4 | 2bo$b4o$2o$o! | (Wing) | C1 | 18 | 4×5 | 5 +2√2 +3√5 | 14.536631 | 13 | 105 | 9 | 0.086 | |
| ⡴⠚⠂ | xp0_13u8 | 3bo$b4o$2o$o! | C1 | 18 | 4×5 | 5 +2√2 +3√5 | 14.536631 | 13 | 24 | 0 | 0 | ||
| ⡴⠒⠃ | xp0_13ug | 4bo$b4o$2o$o! | (Unknown reaction / Not a predecessor of the R-pentomino) | C1 | 18 | 4×5 | 6 +1√2 +2√5 +1√10 | 15.048627 | 13 | 1108 | 116 | 0.105 | |
| ⠟⠉⠁ | xp0_13v | 5o$2o$o! | (Predecessor of the Duoplet) | C1 | 16 | 3×5 | 10 +2√5 | 14.472135 | 11 | 10 | 0 | 0 | |
| ⠹⢲ | xp0_157c | b3o$bo$3o$o! | (Unknown reaction) | C1 | 18 | 4×4 | 7 +3√5 | 13.708203 | 12 | 176 | 55 | 0.313 | |
| ⠩⡏ | xp0_15f1 | o$4o$obo$o! | C1 | 18 | 4×4 | 7 +1√2 +1√5 +1√10 | 13.812559 | 12 | 5 | 3 | 0.6 | ||
| ⠩⡗ | xp0_15f2 | bo$4o$obo$o! | (R + Hive reaction / Blinker, block, boat, beehive, pond) | C1 | 18 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 12 | 172 | 26 | 0.151 | |
| ⠩⡧ | xp0_15f4 | 2bo$4o$obo$o! | C1 | 18 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 12 | 40 | 3 | 0.075 | ||
| ⠩⣇ | xp0_15f8 | 3bo$4o$obo$o! | C1 | 18 | 4×4 | 7 +1√2 +1√5 +1√10 | 13.812559 | 12 | 10 | 0 | 0 | ||
| ⠏⠋⠁ | xp0_15v | 5o$obo$o! | C1 | 18 | 3×5 | 10 +2√5 | 14.472135 | 11 | 14 | 6 | 0.429 | ||
| ⠹⢴ | xp0_174e | b3o$2bo$3o$o! | (Block and tub) (#48 (11929) on frequency list[2]) | C1 | 18 | 4×4 | 7 +3√5 | 13.708203 | 12 | 63 | 8 | 0.127 | |
| ⡤⠏⠁ | xp0_174s | 2b3o$2bo$3o$o! | (Unknown reaction) | C1 | 18 | 4×5 | 7 +4√2 +1√5 | 14.892922 | 13 | 1105 | 116 | 0.105 | |
| ⠹⢦ | xp0_176c | 2b2o$b2o$3o$o! | D2_x | 16 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 11 | 7 | 0 | 0 | ||
| ⠹⡴ | xp0_17c6 | b2o$2b2o$3o$o! | Two-glider octomino | C1 | 18 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 12 | 384 | 48 | 0.125 | |
| ⠹⣤ | xp0_17cc | 3bo$b3o$2o$2o! | C1 | 16 | 4×4 | 7 +3√2 +1√5 | 13.478708 | 11.5 | 2 | 3 | 1.5 | ||
| ⡤⠞⠁ | xp0_17co | 3b2o$2b2o$3o$o! | C1 | 18 | 4×5 | 6 +2√2 +1√5 +1√13 | 14.670046 | 12 | 55 | 7 | Expression error: Unrecognized punctuation character "[". | ||
| ⠹⡍ | xp0_17d1 | o$3o$ob2o$o! | C1 | 18 | 4×4 | 7 +1√2 +1√5 +1√10 | 13.812559 | 12 | 14 | 14 | Expression error: Unrecognized punctuation character "[". | ||
| ⠹⡥ | xp0_17d4 | 2bo$ob2o$3o$o! | (A block and a glider — not the block and glider | C1 | 18 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 12 | 41 | 9 | 0.22 | |
| ⠹⣅ | xp0_17d8 | 3bo$ob2o$3o$o! | C1 | 18 | 4×4 | 7 +1√2 +1√5 +1√10 | 13.812559 | 12 | 7 | 0 | 0 | ||
| ⠹⡖ | xp0_17e2 | bo$b3o$3o$o! | (Predecessor of the dot) | C1 | 16 | 4×4 | 5 +1√2 +3√5 | 13.122417 | 11.5 | 3 | 0 | 0 | |
| ⠹⡦ | xp0_17e4 | 2bo$b3o$3o$o! | (xp0_199e) | C1 | 16 | 4×4 | 5 +4√2 +1√5 | 12.892922 | 11 | 1279 | 175 | 0.137 | |
| ⠹⣆ | xp0_17e8 | 3bo$b3o$3o$o! | C2_4 | 16 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 11 | 10 | 0 | 0 | ||
| ⠹⡇ | xp0_17f | 4o$3o$o! | (Also jokingly known as xp0_1337) | C1 | 14 | 3×4 | 9 +1√2 +1√5 | 12.650281 | 9.5 | 27 | 12 | 0.444 | |
| ⡤⠗⠂ | xp0_17s4 | 2bo$2b3o$3o$o! | C1 | 18 | 4×5 | 5 +2√2 +3√5 | 14.536631 | 13 | 2 | 3 | 1.5 | ||
| ⡤⠞⠂ | xp0_17s8 | 3bo$2b3o$3o$o! | (Honey farm) | C1 | 18 | 4×5 | 5 +1√2 +2√5 +1√13 | 14.491900 | 12.5 | 24 | 24 | 1 | |
| ⡤⠖⠃ | xp0_17sg | 4bo$2b3o$3o$o! | (Oblique domino wick predecessor) | C2_2 | 18 | 4×5 | 6 +4√5 | 14.944271 | 12 | 4 | 0 | 0 | |
| ⠗⠋⠁ | xp0_17t | ob3o$3o$o! | (Berger's p30 reaction) | C1 | 18 | 3×5 | 10 +2√5 | 14.472135 | 11 | 17 | 0 | 0 | |
| ⠞⠋⠁ | xp0_17u | b4o$3o$o! | C1 | 16 | 3×5 | 8 +1√2 +2√5 | 13.886349 | 10.5 | 5 | 7 | Expression error: Unrecognized punctuation character "[". | ||
| ⢉⡏ | xp0_19f1 | o$4o$ob2o$o! | (Unknown reaction) | C1 | 18 | 4×4 | 8 +2√10 | 14.324555 | 13 | 99 | 16 | 0.162 | |
| ⢉⡗ | xp0_19f2 | bo$4o$ob2o$o! | (Predecessor of the MWSS spark) | C1 | 18 | 4×4 | 7 +1√2 +1√5 +1√10 | 13.812559 | 13 | 4 | 0 | 0 | |
| ⢉⡧ | xp0_19f4 | 2bo$4o$ob2o$o! | (Clean tub predecessor) | C1 | 18 | 4×4 | 7 +1√2 +1√5 +1√10 | 13.812559 | 13 | 11 | 4 | 0.364 | |
| ⢉⣇ | xp0_19f8 | 3bo$4o$ob2o$o! | C1 | 18 | 4×4 | 8 +2√10 | 14.324555 | 13 | 8 | 0 | 0 | ||
| ⠏⠙⠁ | xp0_19v | 5o$o2bo$o! | C1 | 18 | 3×5 | 10 +1√2 +1√10 | 14.576491 | 12 | 4 | 4 | 1 | ||
| ⢙⡖ | xp0_1be2 | bo$b3o$2obo$o! | C1 | 18 | 4×4 | 6 +2√5 +1√10 | 13.634413 | 12.5 | 6 | 0 | 0 | ||
| ⢙⡦ | xp0_1be4 | 2b2o$b2o$2o$b2o! | Octomino II | C1 | 18 | 4×4 | 6 +3√2 +1√10 | 13.404918 | 12 | 116 | 20 | 0.172 | |
| ⢙⡇ | xp0_1bf | 4o$2obo$o! | Iwona active region | C1 | 16 | 3×4 | 10 +1√10 | 13.162277 | 10.5 | 237 | 33 | 0.139 | |
| ⠞⠙⠁ | xp0_1bu | b4o$2obo$o! | C1 | 18 | 3×5 | 8 +2√2 +1√10 | 13.990704 | 11.5 | 6 | 3 | 0.5 | ||
| ⢩⠗ | xp0_1d72 | bo$3o$ob2o$o! | C1 | 18 | 4×4 | 6 +3√2 +1√10 | 13.404918 | 12 | 30 | 4 | 0.133 | ||
| ⢩⠧ | xp0_1d74 | 2bo$3o$ob2o$o! | C1 | 18 | 4×4 | 6 +2√5 +1√10 | 13.634413 | 12.5 | 6 | 5 | Expression error: Unrecognized punctuation character "[". | ||
| ⢩⡇ | xp0_1df | 4o$ob2o$o! | (xp0_4abo) | C1 | 16 | 3×4 | 10 +1√10 | 13.162277 | 10.5 | 330 | 49 | 0.148 | |
| ⣗⠒ | xp0_1f13 | 2o$o$4o$o! | C1 | 18 | 4×4 | 8 +2√2 +1√10 | 13.990704 | 12.5 | 6 | 0 | 0 | ||
| ⣳⠒ | xp0_1f23 | 2o$bo$4o$o! | (Predecessor of the dot) | C1 | 18 | 4×4 | 8 +2√2 +1√10 | 13.990704 | 12.5 | 3 | 0 | 0 | |
| ⢹⠲ | xp0_1f26 | b2o$bo$4o$o! | C1 | 18 | 4×4 | 6 +2√5 +1√10 | 13.634413 | 12.5 | 4 | 4 | 1 | ||
| ⢹⠓ | xp0_1f32 | bo$2o$4o$o! | C1 | 16 | 4×4 | 6 +3√2 +1√10 | 13.404918 | 12 | 5 | 6 | 1.2 | ||
| ⢹⠴ | xp0_1f46 | b2o$2bo$4o$o! | C1 | 18 | 4×4 | 6 +2√5 +1√10 | 13.634413 | 12.5 | 8 | 4 | 0.5 | ||
| ⢹⠥ | xp0_1f54 | 2bo$obo$4o$o! | C1 | 18 | 4×4 | 6 +2√5 +1√10 | 13.634413 | 12.5 | 6 | 0 | 0 | ||
| ⢹⠖ | xp0_1f62 | bo$b2o$4o$o! | (Predecessor of the phi spark) | C1 | 16 | 4×4 | 5 +2√2 +1√5 +1√10 | 13.226772 | 11.5 | 16 | 0 | 0 | |
| ⢹⠦ | xp0_1f64 | 2bo$b2o$4o$o! | C1 | 16 | 4×4 | 5 +2√2 +1√5 +1√10 | 13.226772 | 11.5 | 8 | 0 | 0 | ||
| ⢹⠇ | xp0_1f7 | 3o$4o$o! | C1 | 14 | 3×4 | 8 +1√2 +1√10 | 12.576491 | 10 | 6 | 6 | 1 | ||
| ⢹⣠ | xp0_1f8c | 2o$o$4o$3bo! | C1 | 18 | 4×4 | 8 +2√2 +1√10 | 13.990704 | 12.5 | 9 | 0 | 0 | ||
| ⠹⠤⡄ | xp0_1f8o | 3b2o$3bo$4o$o! | C1 | 18 | 4×5 | 6 +1√5 +1√10 +1√13 | 15.003896 | 13.5 | 37 | 0 | 0 | ||
| ⢹⡒ | xp0_1fa2 | bo$bobo$4o$o! | C1 | 18 | 4×4 | 6 +2√5 +1√10 | 13.634413 | 12.5 | 6 | 0 | 0 | ||
| ⢹⡃ | xp0_1fb | 2obo$4o$o! | (Predecessor of the O-pentomino) | C1 | 16 | 3×4 | 10 +1√10 | 13.162277 | 10.5 | 8 | 12 | 1.5 | |
| ⢹⡤ | xp0_1fc4 | 2bo$2b2o$4o$o! | C1 | 16 | 4×4 | 6 +3√2 +1√10 | 13.404918 | 12 | 4 | 0 | 0 | ||
| ⢹⡅ | xp0_1fd | ob2o$4o$o! | (Predecessor of the xp0_4bhe) | C1 | 16 | 3×4 | 10 +1√10 | 13.162277 | 10.5 | 54 | 12 | 0.222 | |
| ⢹⡆ | xp0_1fe | b3o$4o$o! | (Honey farm) | C1 | 14 | 3×4 | 8 +1√2 +1√10 | 12.576491 | 10 | 18 | 24 | Expression error: Unrecognized punctuation character "[". | |
| ⠺⠤⡄ | xp0_1fo8 | 3bo$3b2o$4o$o! | (R / Not a predecessor of the R-pentomino) | C1 | 18 | 4×5 | 5 +2√2 +1√10 +1√13 | 14.596256 | 13.5 | 1108 | 116 | 0.105 | |
| ⠗⠚⠁ | xp0_1fp | o2b2o$4o$o! | C1 | 18 | 3×5 | 10 +1√2 +1√10 | 14.576491 | 12 | 12 | 0 | 0 | ||
| ⠞⠚⠁ | xp0_1fq | bob2o$4o$o! | (Traffic light) | C1 | 18 | 3×5 | 8 +2√2 +1√10 | 13.990704 | 11.5 | 15 | 12 | 0.8 | |
| ⠖⠛⠁ | xp0_1fs | 2b3o$4o$o! | C1 | 16 | 3×5 | 7 +1√2 +1√5 +1√10 | 13.812559 | 11 | 7 | 0 | 0 | ||
| ⠏⠉⠃ | xp0_1hv | 5o$o3bo$o! | (xp0_27x33 reaction) | C1 | 18 | 3×5 | 11 +1√17 | 15.123105 | 13 | 20 | 10 | 0.5 | |
| ⠞⠉⠃ | xp0_1ju | b4o$2o2bo$o! | C1 | 18 | 3×5 | 9 +1√2 +1√17 | 14.537319 | 12.5 | 5 | 3 | 0.6 | ||
| ⠖⠋⠃ | xp0_1ns | 2b3o$3obo$o! | C1 | 18 | 3×5 | 8 +1√5 +1√17 | 14.359173 | 12 | 7 | 0 | 0 | ||
| ⠏⠙⠂ | xp0_1pf | 4o$o2b2o$o! | C1 | 18 | 3×5 | 9 +1√2 +1√17 | 14.537319 | 12.5 | 4 | 4 | 1 | ||
| ⠞⠙⠂ | xp0_1re | b3o$2ob2o$o! | (Predecessor of the wing) | C1 | 18 | 3×5 | 7 +2√2 +1√17 | 13.951532 | 12 | 113 | 9 | 0.08 | |
| ⠏⠓⠂ | xp0_1t7 | 3o$ob3o$o! | (TL, 6 blocks, 2 hives, boat, loaf) ( #134 (4958) on frequency list[2]) | C1 | 18 | 3×5 | 8 +1√5 +1√17 | 14.359173 | 12 | 673 | 60 | 0.089 | |
| ⢳⠒⠂ | xp0_1v22 | bo$bo$5o$o! | C1 | 18 | 4×5 | 5 +1√5 +1√13 +1√17 | 14.964724 | 14 | 5 | 0 | 0 | ||
| ⠷⠒⠂ | xp0_1v3 | 2o$5o$o! | (Predecessor of the phi spark) | C1 | 16 | 3×5 | 7 +1√10 +1√17 | 14.285383 | 11.5 | 19 | 0 | 0 | 32 |
| ⠓⡖⠂ | xp0_1v44 | 2bo$2bo$5o$o! | C1 | 18 | 4×5 | 5 +4√2 +1√17 | 14.779959 | 14 | 2 | 4 | 2 | 10 | |
| ⠗⠖⠂ | xp0_1v5 | obo$5o$o! | (Pi) | C1 | 18 | 3×5 | 8 +1√5 +1√17 | 14.359173 | 12 | 176 | 55 | 0.313 | |
| ⠳⠖⠂ | xp0_1v6 | b2o$5o$o! | (Angel predecessor) | C1 | 16 | 3×5 | 6 +1√2 +1√5 +1√17 | 13.773387 | 11.5 | 12 | 3 | 0.25 | 26 |
| ⠓⢲⠂ | xp0_1v88 | 4bo$5o$bo$bo! | C1 | 18 | 4×5 | 5 +1√5 +1√13 +1√17 | 14.964724 | 14 | 5 | 6 | 1.2 | ||
| ⠗⠲⠂ | xp0_1v9 | o2bo$5o$o! | (2 blocks) | C1 | 18 | 3×5 | 9 +1√2 +1√17 | 14.537319 | 12.5 | 38 | 8 | 0.211 | |
| ⠳⠲⠂ | xp0_1va | bobo$5o$o! | C1 | 18 | 3×5 | 7 +2√2 +1√17 | 13.951532 | 12 | 12 | 0 | 0 | ||
| ⠓⠶⠂ | xp0_1vc | 2b2o$5o$o! | C1 | 16 | 3×5 | 6 +1√2 +1√5 +1√17 | 13.773387 | 11.5 | 4 | 0 | 0 | ||
| ⠗⠒⠆ | xp0_1vh | o3bo$5o$o! | C1 | 18 | 3×5 | 11 +1√17 | 15.123105 | 13 | 78 | 3 | 0.038 | ||
| ⠳⠒⠆ | xp0_1vi | bo2bo$5o$o! | (Wing) | C1 | 18 | 3×5 | 9 +1√2 +1√17 | 14.537319 | 12.5 | 108 | 9 | 0.083 | |
| ⠓⠖⠆ | xp0_1vk | 2bobo$5o$o! | C1 | 18 | 3×5 | 8 +1√5 +1√17 | 14.359173 | 12 | 5 | 6 | 1.2 | 13 | |
| ⠓⠲⠆ | xp0_1vo | 2o$5o$4bo! | C1 | 16 | 3×5 | 7 +1√10 +1√17 | 14.285383 | 11.5 | 6 | 4 | 0.667 | 20 | |
| ⠓⠒⠚ | xp0_1vz11 | 6o$o4bo! | (Interchange) | D2_+2 | 18 | 2×6 | 16 | 16.000000 | 12 | 19 | 18 | 0.947 | |
| ⠒⠒⠗ | xp0_222272 | bo$6o$bo! | (Pulsar) | D2_+1 | 18 | 3×6 | 4 +2√2 +2√17 | 15.074638 | 13 | 28 | 58.666666 | 2.095 | |
| ⠒⠚⠖ | xp0_222362 | 2bo$6o$bo! | (Pulsar) | C1 | 18 | 3×6 | 4 +1√2 +1√5 +1√10 +1√17 | 14.935664 | 13 | 34 | 58.666666 | 1.725 | |
| ⠒⠗⠒ | xp0_222722 | 2bo$6o$2bo! | (Traffic light) | D2_+1 | 18 | 3×6 | 4 +2√5 +2√10 | 14.796691 | 13 | 12 | 12 | 1 | |
| ⢹⠉⠁ | xp0_222v | 5o$bo$bo$bo! | (bi-block and tub) | C1 | 18 | 4×5 | 8 +3√2 +1√10 | 15.404918 | 14 | 67 | 12 | 0.179 | |
| ⠒⠓⠖ | xp0_223262 | 3bo$6o$bo! | C1 | 18 | 3×6 | 4 +1√2 +1√5 +1√10 +1√17 | 14.935664 | 13 | 3 | 0 | 0 | 14 | |
| ⠒⠳⠒ | xp0_223622 | 3bo$6o$2bo! | C2_2 | 18 | 3×6 | 4 +2√5 +2√10 | 14.796691 | 13 | 4 | 0 | 0 | 12 | |
| ⢺⠉⠁ | xp0_223u | b4o$2o$bo$bo! | (Traffic light via xp0_e17 sequence) | C1 | 18 | 4×5 | 7 +4√2 +1√5 | 14.892922 | 14 | 28 | 12 | 0.429 | |
| ⢲⠋⠁ | xp0_227s | 2b3o$3o$bo$bo! | C1 | 18 | 4×5 | 6 +3√2 +2√5 | 14.714776 | 13.5 | 2 | 4 | 2 | 10 | |
| ⠒⣳ | xp0_22be | 2o$o$4o$bo! | (R) | C1 | 18 | 4×4 | 7 +3√2 +1√5 | 13.478708 | 12.5 | 1105 | 116 | 0.105 | |
| ⠒⡟ | xp0_22f3 | 2o$4o$bo$bo! | (Parent of the dot) | D2_x | 16 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 12 | 2 | 0 | 0 | 8 |
| ⠒⡯ | xp0_22f5 | 2o$b3o$2o$bo! | C1 | 18 | 4×4 | 7 +3√2 +1√5 | 13.478708 | 12.5 | 3 | 6 | 2 | 12 | |
| ⠒⡷ | xp0_22f6 | bo$4o$2o$bo! | C1 | 16 | 4×4 | 5 +4√2 +1√5 | 12.892922 | 12 | 2 | 0 | 0 | 10 | |
| ⠒⣏ | xp0_22f9 | 2o$b3o$bo$2o! | C1 | 18 | 4×4 | 9 +2√2 +1√5 | 14.064495 | 13 | 2 | 0 | 0 | 8 | |
| ⠒⣗ | xp0_22fa | 2o$bo$4o$bo! | C1 | 18 | 4×4 | 7 +3√2 +1√5 | 13.478708 | 12.5 | 3 | 6 | 2 | 11 | |
| ⠒⣧ | xp0_22fc | 2o$2o$b3o$bo! | C1 | 16 | 4×4 | 6 +2√2 +2√5 | 13.300563 | 12 | 2 | 0 | 0 | 8 | |
| ⢲⠚⠁ | xp0_22fo | 3b2o$4o$bo$bo! | C1 | 18 | 4×5 | 5 +3√2 +1√5 +1√10 | 14.640986 | 13 | 2 | 8 | 4 | 11 | |
| ⢺⠒⠂ | xp0_22v2 | bo$5o$bo$bo! | C1 | 18 | 4×5 | 4 +1√2 +1√5 +1√10 +1√13 | 14.418110 | 14 | 12 | 3 | 0.25 | 27 | |
| ⢲⠓⠂ | xp0_22v4 | 2bo$5o$bo$bo! | C1 | 18 | 4×5 | 4 +3√5 +1√13 | 14.313755 | 14 | 3 | 0 | 0 | 9 | |
| ⢲⠚⠂ | xp0_22v8 | 3bo$5o$bo$bo! | (Predecessor of the Procrastinator) | C1 | 18 | 4×5 | 4 +1√2 +1√5 +1√10 +1√13 | 14.418110 | 14 | 76 | 6 | 0.079 | |
| ⠚⠒⠖ | xp0_232262 | 4bo$6o$bo! | C2_2 | 18 | 3×6 | 4 +2√2 +2√17 | 15.074638 | 13 | 3 | 0 | 0 | 16 | |
| ⢼⠉⠁ | xp0_232u | b4o$bo$2o$bo! | C1 | 18 | 4×5 | 7 +4√2 +1√5 | 14.892922 | 14 | 34 | 4 | 0.118 |
Patterns Gallery
| Synthesis of polyominoes in Sticky, ordered by apgcode. (work in progress) (click above to open LifeViewer) |
(work in progress)
(click above to open LifeViewer)
| Synthesis of polyominoes in FreeElectronicsX, ordered by apgcode. (work in progress) (click above to open LifeViewer) |
| work in progress (click above to open LifeViewer) |
Notes
- ↑ The perimeter and area are calculated in Euclidean Geometry, where Euclidean distance is used. If you consider Manhattan distance instead of Euclidean distance, then the perimeter of the convex hull of the Herschel for example, would be 14 rather than 8+2*sqrt(5). (citation needed)[1]
- ↑ 2.0 2.1 Crossed-out numbers means that the envelope size is actually infinity. The number itself stands for the envelope size at the tick when the pattern stabilizes.
- ↑ 3.0 3.1 The arithmetic mean is taken if the pattern is unstable.
- ↑ 4.0 4.1 4.2 4.3 4.4 Note that 3²+4²=5²
References
- ↑ How to calculate Euclidean and Manhattan distance by hand
- ↑ 2.0 2.1 2.2 2.3
- Frequency list (discussion thread) at the ConwayLife.com forums
External Links
- Polyominoes beyond CA (discussion thread) at the ConwayLife.com forums
- Polyominoes Tiling (discussion thread) at the ConwayLife.com forums