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

  1. Lifespan is measured from its canonical initial form, not from the form in the generated list.

References

  1. simeks (December 28, 2016). Census of small evolving patterns (discussion thread) at the ConwayLife.com forums
  2. MathAndCode (November 1, 2020). Small predecessors of common objects and evolutionary sequences (discussion thread) at the ConwayLife.com forums
  3. MathAndCode (May 4, 2021). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums