LifeWiki:Object counts

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This table contains counts of strict still lifes, oscillators and spaceships with specific population. It is an expansion of [1], however whereas that includes lower bounds from the number of known examples, values are only included here when they have been proven.

The behaviour of all configurations of up to 10 cells has been classified.[2]

cells 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127
still lifes (A019473) 0 0 0 2 1 5 4 9 10 25 46 121 240 619 1353 3286 7773 19044 45759 112243 273188 672172 1646147 4051732 9971377 24619307 60823008 150613157 373188952 926068847 2299616637 5716948683 14223867298 35422864104
oscillators p2 (A056614) 0 0 1 0 0 3 0 1 1 1 1 6 3 20 29 98 199 484 1083 2722 6596
p3 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 7 8 39 66 216
p4 0 0 0 0 0 0 0 0 0 0 0 2
p5 0 0 0 0 0 0 0 0 0 0 0
p≥6 0 0 0 0 0 0 0 0 0 0
spaceships c/2[3] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 4 2 9 6 13 14 17 27 20 36 47 56 62 97 103 157 171 244 306 345 516 467 879 749 1334 1202 1816 1943 2511 3046 3835 4657 5726 6961 8576 10441 13116 16086 19755 24958 29547 37214 44477 55371 66544 82723 99474 123749 148721 184427 221313 273406 331180 408743 497303 615118 750032 917054 1127615 1370036
c/3[4] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 1 0 0 0 1 1 3 1 2 3 3 3 0 0 4 2 2 3 5 9
c/4[5] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
2c/4 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 5 0 9 2 7 2
c/4d 0 0 0 0 1 0 0 0 0 0
2c/5[6] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
other velocities 0 0 0 0 0 0 0 0 0 0

See also

References

  1. ↑ Life Object Counts at Mark D. Niemiec's Life Page
  2. ↑ Nick Gotts (November 28, 2018). Systematic survey of small patterns (discussion thread) at the ConwayLife.com forums
  3. ↑ Keith Amling (January 15, 2024). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
  4. ↑ Keith Amling (December 1, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
  5. ↑ Keith Amling (November 22, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
  6. ↑ Keith Amling (November 15, 2023). Re: LLSSS min pop search results spam (discussion thread) at the ConwayLife.com forums
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