List of common oscillators

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This is a list of the most common oscillators in the Game of Life, specifically Catagolue's B3/S23/C1 census, as of February 28, 2022, comprising nearly 2 quadrillion object occurrences. Names for objects are taken from Catagolue where applicable; the apgcode of the object is substituted otherwise.

The relative frequency column gives an estimate of the fraction of all randomly-occurring oscillators that will be of the given type. However, the first three in the list comprise nearly 100% of all natural occurrences. The rest of the objects in the list are very uncommon. For this reason, the list only includes the first 86; after that, the frequency of each object is less than 1 in 100 billion of all oscillator occurrences and the numbers are too small for any order to be meaningful.

Note: a tilde (~) has been used in lieu of leaving a cell blank when it is useful for that cell to sort at the bottom of the collating sequence.

Pattern apgcode Period Heat Minimum
# of cells
Glider cost Relative frequency Rotor Bushing type
1 Blinker xp2_7 2 4 3 2 0.9898377 Pole 2 Dot
2 Toad xp2_7e 2 8 6 3 1 in 132.41 Toad Toad
3 Beacon xp2_318c 2 2 6 3 1 in 423.43 Diagonal on-off Beacon
4 Pulsar xp3_co9nas0san9oczgoldlo0oldlogz1047210127401 3 42.7 48 3 1 in 4109.8 Pulsar Pulsar
5 Pentadecathlon xp15_4r4z4r4 15 22.4 12 3 1 in 381776 Pentadecathlon -
6 Clock xp2_2a54 2 8 6 4 1 in 654985 Clock (rotor) Clock
7 Bipole xp2_31ago 2 4 8 4 1 in 3.130 million Pole 2 Bipole
8 Quadpole xp2_0g0k053z32 2 8 10 5 1 in 3.500 million Pole 4 Quadpole
9 Great on-off xp2_g8gid1e8z1226 2 2 18 5 1 in 5.081 million Diagonal on-off Cavity
10 Figure eight xp8_gk2gb3z11 8 16.5 12 4 1 in 10.66 million Figure eight -
11 Spark coil xp2_rhewehr 2 2 18 4 1 in 15.53 million Orthogonal on-off Spark coil
12 Mold xp4_37bkic 4 7 12 5 1 in 18.64 million Mold Loaf
13 Quadpole tie ship xp2_31a08zy0123cko 2 8 16 5 1 in 45.35 million Pole 4 Quadpole
14 Tripole xp2_g0k053z11 2 6 9 5 1 in 92.25 million Pole 3 Tripole
15 Mazing xp4_ssj3744zw3 4 14 12 5 1 in 97.85 million Mazing -
16 Blocker xp8_g3jgz1ut 8 9 15 5 1 in 140 million Blocker Blocker
17 Jam xp3_695qc8zx33 3 14.3 13 5 1 in 186 million Jam Loaf
18 Trans-queen bee shuttle xp30_w33z8kqrqk8zzzx33 30 17.9 20 6 1 in 324 million Queen bee Blocks
19 Cis-queen bee shuttle xp30_w33z8kqrqk8zzzw33 30 17.9 20 5 1 in 330 million Queen bee Blocks
20 Trans-beacon on table xp2_wbq23z32 2 2 12 5 1 in 390 million Diagonal on-off Beacon
21 Cis-beacon on table xp2_318c0f9 2 2 12 5 1 in 398 million Diagonal on-off Beacon
22 Cis-beacon on dock xp2_j1u062goz11 2 2 16 4 1 in 418 million Diagonal on-off Beacon
23 Test tube baby xp2_31egge13 2 2 14 5 1 in 499 million Orthogonal on-off Test tube baby
24 Achim's p4 xp4_8eh5e0e5he8z178a707a871 4 4 40 5 1 in 518 million 1-2-3-4 ?
25 Cis-beacon on anvil xp2_0c813z255d1e8 2 2 19 5 1 in 536 million Diagonal on-off Beacon
26 Octagon 2 xp5_idiidiz01w1 5 16 16 5 1 in 621 million Octagon 2 n/a
27 Unix xp6_ccb7w66z066 6 11.3 16 5 1 in 630 million Unix Unix
28 1 beacon xp2_ca9baiczw32 2 2 18 5 1 in 642 million Diagonal on-off 1 beacon
29 Tub test tube baby xp2_25a88gz8ka221 2 2 16 6 1 in 688 million Orthogonal on-off Test tube baby
30 Trans-beacon on dock xp2_03lk453z6401 2 2 16 5 1 in 907 million Diagonal on-off Beacon
31 Tumbler xp14_j9d0d9j 14 10.3 16 5 1 in 944 million Tumbler -
32 Block on griddle xp2_c8b8aczw33 2 6 15 5 1 in 1.01 billion Flutter Griddle
33 Fore and back xp2_ca1n0brz330321 2 4 24 5 1 in 1.48 billion Pole 2 Snake pit
34 Cis-beacon up on long bookend xp2_3hu0og26 2 2 14 5 1 in 1.56 billion Diagonal on-off Beacon
35 Cis-beacon on cap xp2_318c0f96 2 2 14 6 1 in 1.67 billion Diagonal on-off Beacon
36 Cis-beacon down on long bookend xp2_318c0fho 2 2 14 5 1 in 1.87 billion Diagonal on-off Beacon
37 Trans-block on candlefrobra xp3_025qzrq221 3 6 16 6 1 in 2.06 billion Candlefrobra Candlefrobra
38 Mango with beacon on dock xp2_wgj1u0og26z25421 2 2 21 5 1 in 2.30 billion Diagonal on-off Beacon
39 Trans-beacon down on long bookend xp2_w8o0uh3z32 2 2 14 5 1 in 3.77 billion Diagonal on-off Beacon
40 Caterer xp3_4hh186z07 3 14.7 12 5 1 in 3.97 billion Caterer n/a
41 Coe's p8 xp8_wgovnz234z33 8 12.5 17 5 1 in 4.27 billion Coe's p8 Coe's p8
42 Trans-beacon on cap xp2_318czw3553 2 2 14 5 1 in 4.95 billion Diagonal on-off Beacon
43 xp2_8e1t2gozw23 xp2_8e1t2gozw23 2 2 16 5 1 in 5.64 billion Diagonal on-off 1 Beacon
44 Beehive on griddle xp2_4k1v0ciczw11 2 6 17 7 1 in 5.67 billion Flutter Griddle
45 Boat tie spark coil xp2_xrhewehrz253 2 2 23 5 1 in 5.90 billion Orthogonal on-off Spark coil
46 Cis-block on candlefrobra xp3_025qz32qq1 3 6 16 5 1 in 5.94 billion Candlefrobra Candlefrobra
47 xp2_69b8baiczx32 xp2_69b8baiczx32 2 2 20 5 1 in 6.00 billion Diagonal on-off 1 beacon
48 Trans-beacon up on long bookend xp2_03lk46z6401 2 2 14 6 1 in 6.29 billion Diagonal on-off Beacon
49 Bipole tie ship xp2_xoga13z653 2 4 14 5 1 in 7.26 billion Pole 2 Bipole
50 Boat tie bipole xp2_xoga13z253 2 4 13 5 1 in 7.85 billion Pole 2 Bipole
51 Boat on griddle xp2_c8b8acz0253 2 6 16 6 1 in 10.9 billion Flutter Griddle
52 Four boats xp2_8ki1688gzx3421 2 4 16 6 1 in 11.3 billion ~ ~
53 Boat tie quadpole xp2_256o8gzy120ago 2 8 15 6 1 in 11.6 billion Pole 4 Quadpole
54 Monotub spark coil xp2_gbhewehrz01 2 2 19 6 1 in 15.1 billion Orthogonal on-off Spark coil
55 Unnamed xp2_og2t1e8z6221 2 2 18 7 1 in 15.3 billion Diagonal on-off 1 beacon
56 xp2_caabaiczw32 xp2_caabaiczw32 2 2 18 5 1 in 16.3 billion Diagonal on-off 1 beacon
57 Eater plug xp2_wo44871z6221 2 2 14 7 1 in 17.1 billion Diagonal on-off Cavity
58 Odd test tube baby xp2_03544oz4a511 2 2 15 6 1 in 17.3 billion Orthogonal on-off Test tube baby
59 Trans-beacon on bookend siamese table xp2_09v0c813z321 2 2 17 10 1 in 17.7 billion Diagonal on-off Beacon
60 G and spark coil xp2_mlhewehrz1 2 2 21 6 1 in 19.6 billion Orthogonal on-off Spark coil
61 xp2_69b8b9iczx32 xp2_69b8b9iczx32 2 2 20 9 1 in 21.5 billion Diagonal on-off 1 beacon
62 Cis-beehive on candlefrobra xp3_4a422hu0696 3 6 18 7 1 in 24.9 billion Candlefrobra Candlefrobra
63 xp2_33gv1og26 xp2_33gv1og26 2 2 17 8 1 in 27.8 billion Diagonal on-off Beacon
64 Beacon on cover xp2_wbq2sgz32 2 2 14 8 1 in 28.4 billion Diagonal on-off Beacon
65 Blocks on griddle xp2_rb88brz0103 2 6 19 5 1 in 36.1 billion Flutter Griddle
66 Unnamed xp3_6a889b8ozx33 3 2 18 7 1 in 37.3 billion Cuphook Cuphook
67 Cis-boat down on candlefrobra xp3_4a422hu06a4 3 6 17 5 1 in 41.5 billion Candlefrobra Candlefrobra
68 xp2_6a88baiczx32 xp2_6a88baiczx32 2 2 18 5 1 in 41.8 billion Diagonal on-off 1 beacon
69 Beacon on inflected clip xp2_0318cz259d1d96 2 2 22 6 1 in 42.0 billion Diagonal on-off Beacon
70 xp2_gk2t2sgzw23 xp2_gk2t2sgzw23 2 3 16 7 1 in 44 billion Flutter Griddle
71 Griddle and table xp2_4k1v0f9zw11 2 6 17 8 1 in 44 billion Flutter Griddle
72 Racetrack and ortho-beacon xp2_04aab96zc813 2 2 18 8 1 in 46 billion Diagonal on-off Beacon
73 Fox xp2_g45h1sz03 2 18 12 7 1 in 47 billion ~ ~
74 Cis-bipole and dock xp2_31agozca22ac 2 2 18 5 1 in 47 billion Pole 2 Bipole
75 Fumarole xp5_3pmwmp3zx11 5 12.8 18 7 1 in 56 billion ~ ~
76 Beacon on racetrack xp2_0318cz69d552 2 2 18 7 1 in 63 billion Diagonal on-off Beacon
77 Beehive test tube baby xp2_03544ozcid11 2 2 17 8 1 in 69 billion Orthogonal on-off Test tube baby
78 Cis-beacon down on trans-mango-with-long-leg xp2_gwci96zh15dz11 2 2 19 7 1 in 69 billion Diagonal on-off Beacon
79 Unnamed xp2_og2t1acz6221 2 2 18 8 1 in 62 billion Diagonal on-off 1 beacon
80 Cis-boat up on candlefrobra xp3_2530fh884a4 3 6 17 7 1 in 73 billion Candlefrobra Candlefrobra
81 Loaf on griddle xp2_04a96z31d153 2 3 18 5 1 in 76 billion Flutter Griddle
82 Lightbulb and cis-hook xp2_03lkmzojc0cjo 2 3 24 6 1 in 79 billion V triplet Lightbulb
83 Trans-boat test tube baby xp2_03544ozca511 2 2 16 8 1 in 82 billion Orthogonal on-off Test tube baby
84 Pond on griddle xp2_06996z31d153 2 3 19 8 1 in 84 billion Flutter Griddle
85 Cis-beacon up on tub-with-long-leg xp2_c813z3115a4 2 2 15 8 1 in 88 billion Diagonal on-off Beacon
86 Cis-beacon up on beehive-with-long-leg xp2_c813z311dic 2 2 17 8 1 in 97 billion Diagonal on-off Beacon