List of common evolutionary sequences
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In late 2016, user simeks determined the most common evolutionary sequences using 8×8 random soups.[1]
To qualify on the list, a pattern must initially have 12 or fewer cells and reach 20, staying above 12 for at least four generations, at some point in its evolution. For this reason, the traffic light does not qualify. The interchange and Z-hexomino sequences qualify based on the stated criteria, but they are not on the list.
| Sequence | Lifespan[note 1] | Occurrences | Relative frequency |
|---|---|---|---|
| Honey farm | 17 | 617733 | 1.000 |
| R-pentomino | 1103 | 531779 | 0.861 |
| Pi-heptomino | 173 | 471544 | 0.763 |
| Lumps of muck | 63 | 471544 | 0.502 |
| Century | 103 | 266004 | 0.430 |
| B-heptomino | 148 | 244984 | 0.397 |
| Dove | 104 | 133659 | 0.216 |
| Herschel with block | 128 | 121316 | 0.196 |
| Teardrop | 20 | 64485 | 0.104 |
| I-heptomino | 247 | 53177 | 0.086 |
| Two-glider octomino | 385 | 50178 | 0.081 |
| Generates a bi-block and another block | 53 | 48239 | 0.078 |
| Procrestinator (name unofficial[2]) | 73 | 46879 | 0.076 |
| Blonk-tie | 552 | 38554 | 0.062 |
| Unnamed (ob3o$2o!) | 238 | 37747 | 0.061 |
| U-turner (name unofficial[3]) | 163 | 29273 | 0.047 |
| B-heptomino generation 42 | 106 | 29196 | 0.047 |
| Unnamed (2b2o$4bo$o2bo$3o!) | 268 | 471544 | 0.046 |
| Original diehard | 130 | 27077 | 0.044 |
| Object hassled in Jason's p22 | 65 | 25303 | 0.041 |
| Traffic light hits block (2o$2o4bo$5b3o!) | 47 | 24725 | 0.040 |
| Dove | 200 | 23603 | 0.038 |
| Unnamed (o2bo$bob2o$bo3b2o$4bo!) | 47 | 22654 | 0.0367 |
| Herschel (by itself) | 128 | 21929 | 0.0355 |
| Butterfly | 33 | 18593 | 0.0301 |
| Octomino II | 116 | 18507 | 0.300 |
Of the top 96, the E-heptomino ranks 53rd, the queen bee ranks 81st, and the pulsar ranks 86th. The F-heptomino and switch engine do not make the top 96.
See also
Notes
- ↑ Lifespan is measured from its canonical initial form, not from the form in the generated list.
References
- ↑ simeks (December 28, 2016). Census of small evolving patterns (discussion thread) at the ConwayLife.com forums
- ↑ MathAndCode (November 1, 2020). Small predecessors of common objects and evolutionary sequences (discussion thread) at the ConwayLife.com forums
- ↑ MathAndCode (May 4, 2021). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums