Difference between revisions of "List of common oscillators"
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|- | |- | ||
! rowspan="2" | 36 | ! rowspan="2" | 36 | ||
| [[ | | [[Block on griddle]] | ||
| 2 | | 2 | ||
| 6 | | 6 | ||
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! rowspan="2" | 40 | ! rowspan="2" | 40 | ||
| [[Trans-block | | [[Trans-block on long hook eating tub]] | ||
| 3 | | 3 | ||
| 6 | | 6 | ||
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| 2.40×10<sup>-10</sup> | | 2.40×10<sup>-10</sup> | ||
|- | |- | ||
| [[ | | [[Beehive on griddle]] | ||
| 2 | | 2 | ||
| 6 | | 6 | ||
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| 1.20×10<sup>-10</sup> | | 1.20×10<sup>-10</sup> | ||
|- | |- | ||
| [[Beehive | | [[Beehive on long hook eating tub]] | ||
| 3 | | 3 | ||
| 6 | | 6 | ||
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| 1.20×10<sup>-10</sup> | | 1.20×10<sup>-10</sup> | ||
|- | |- | ||
| [[Cis-boat | | [[Cis-boat on long hook eating tub]] | ||
| 3 | | 3 | ||
| 6 | | 6 | ||
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| 1.20×10<sup>-10</sup> | | 1.20×10<sup>-10</sup> | ||
|- | |- | ||
| [[ | | [[Boat on griddle]] | ||
| 2 | | 2 | ||
| 6 | | 6 | ||
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| 1.20×10<sup>-10</sup> | | 1.20×10<sup>-10</sup> | ||
|- | |- | ||
| [[Trans-beacon | | [[Trans-beacon on cap]] | ||
| 2 | | 2 | ||
| 2 | | 2 |
Revision as of 19:47, 21 December 2018
This is a list of the most common oscillators in the Game of Life. The patterns in this table beyond about row 10 are only approximately ranked, as they all occur very infrequently so it is difficult to generate accurate estimates of their occurrence. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type, as computed in Achim Flammenkamp's census.
Rank | Pattern | Period | Heat | Minimum # of cells | Approximate relative frequency (out of 1.00) |
---|---|---|---|---|---|
1 | Blinker | 2 | 4 | 3 | 0.989 |
2 | Toad | 2 | 8 | 6 | 0.00804 |
3 | Beacon | 2 | 2 | 6 | 0.00246 |
4 | Pulsar | 3 | 42.7 | 48 | 1.53×10-4 |
5 | Pentadecathlon | 15 | 22.4 | 12 | 1.84×10-6 |
6 | Clock | 2 | 8 | 6 | 1.78×10-6 |
7 | Bipole | 2 | 4 | 8 | 3.98×10-7 |
8 | Quadpole | 2 | 8 | 10 | 3.65×10-7 |
9 | Great on-off | 2 | 2 | 18 | 2.60×10-7 |
10 | Figure eight | 8 | 16.5 | 12 | 9.04×10-8 |
11 | Spark coil | 2 | 2 | 18 | 8.17×10-8 |
12 | Mold | 4 | 7 | 12 | 6.60×10-8 |
13 | Quadpole on ship | 2 | 8 | 16 | 2.74×10-8 |
14 | Tripole | 2 | 6 | 9 | 1.43×10-8 |
15 | Mazing | 4 | 14 | 12 | 1.34×10-8 |
16 | Blocker | 8 | 9 | 15 | 8.21×10-9 |
17 | Jam | 3 | 14.3 | 13 | 7.37×10-9 |
18 | Cis-queen bee shuttle | 30 | 17.9 | 20 | 5.27×10-9 |
Trans-queen bee shuttle | 30 | 17.9 | 20 | 5.27×10-9 | |
20 | Cis-beacon on dock | 2 | 2 | 16 | 4.31×10-9 |
21 | Cis-beacon on table | 2 | 2 | 12 | 3.36×10-9 |
22 | Trans-beacon on table | 2 | 2 | 12 | 3.24×10-9 |
23 | Achim's p4 | 4 | 4 | 40 | 3.00×10-9 |
24 | Cis-beacon on anvil | 2 | 2 | 19 | 2.70×10-9 |
25 | Test tube baby | 2 | 2 | 14 | 2.34×10-9 |
26 | Octagon 2 | 5 | 16 | 16 | 1.80×10-9 |
Unix | 6 | 11.3 | 16 | 1.80×10-9 | |
28 | Tumbler | 14 | 10.3 | 16 | 1.32×10-9 |
29 | Tub test tube baby | 2 | 2 | 16 | 1.26×10-9 |
30 | Trans-beacon on dock | 2 | 2 | 16 | 1.20×10-9 |
31 | Cis-beacon up on long hook | 2 | 2 | 14 | 1.02×10-9 |
32 | 1 beacon | 2 | 2 | 18 | 8.99×10-10 |
Cis-beacon on cap | 2 | 2 | 14 | 8.99×10-10 | |
34 | 20P2 | 2 | 2 | 21 | 8.39×10-10 |
35 | Cis-beacon down on long hook | 2 | 2 | 14 | 7.79×10-10 |
36 | Block on griddle | 2 | 6 | 15 | 4.19×10-10 |
Boat on spark coil | 2 | 2 | 23 | 4.19×10-10 | |
38 | Fore and back | 2 | 4 | 24 | 3.60×10-10 |
21P2 | 2 | 2 | 16 | 3.60×10-10 | |
40 | Trans-block on long hook eating tub | 3 | 6 | 16 | 3.00×10-10 |
Trans-beacon down on long hook | 2 | 2 | 14 | 3.00×10-10 | |
42 | Caterer | 3 | 14.7 | 12 | 2.40×10-10 |
Beehive on griddle | 2 | 6 | 17 | 2.40×10-10 | |
44 | Bipole on ship | 2 | 4 | 14 | 1.80×10-10 |
Boat on quadpole | 2 | 8 | 15 | 1.80×10-10 | |
Candlefrobra | 3 | 6 | 16 | 1.80×10-10 | |
Coe's p8 | 8 | 12.5 | 17 | 1.80×10-10 | |
22P2 | 2 | 2 | 20 | 1.80×10-10 | |
23P2 | 2 | 2 | 17 | 1.80×10-10 | |
50 | Beacon and two tails | 2 | 2 | 14 | 1.20×10-10 |
Beehive on long hook eating tub | 3 | 6 | 18 | 1.20×10-10 | |
Cis-boat on long hook eating tub | 3 | 6 | 17 | 1.20×10-10 | |
Eater plug | 2 | 2 | 14 | 1.20×10-10 | |
Boat on griddle | 2 | 6 | 16 | 1.20×10-10 | |
Odd test tube baby | 2 | 2 | 15 | 1.20×10-10 | |
Trans-beacon on cap | 2 | 2 | 14 | 1.20×10-10 | |
Trans-beacon up on long hook | 2 | 2 | 14 | 1.20×10-10 | |
24P2 | 2 | 2 | 18 | 1.20×10-10 | |
18P2.471 | 2 | 2 | 18 | 1.20×10-10 | |
26P2 | 2 | 2 | 20 | 1.20×10-10 |