Highest volatility period-8 oscillators

From LifeWiki
Revision as of 20:00, 18 February 2023 by DroneBetter (talk | contribs) (Create, perhaps do not create images yet until notability better established (table of 68 enumerated by my program, then pruned to 28 by me (all with oscillators only producing sparks and not nontrivially hassling or rephasing each other are excluded), also it will be easier now that my program generates tables directly))
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

All known period-8 oscillators with volatility of at least 0.8.

Rank Name Image Rotor Size Volatility Strict volatility
1 Figure eight Figureeight.png 96 1.00 1.00
2 Kok's galaxy Koksgalaxy.png 96 1.00 1.00
3 Smiley Smiley.png 96 1.00 1.00
4 figure eights shifting toad
(occurred in tetramer)
Xp8 xooow80e704wssszeee111y9777.png 34 1.00 0.96
5 wriggly thing Xp8 y9mm1ozya3c6wgzgw8808og137y1233xggo0ooz0330311xoo8y1sog132022w1zy61wc6ozy93gdd.png 96 1.00 0.96
6 cis- and trans-figure eights hassling toad Xp8 wooo777zw191zw23b1zgggeeez333.png 96 1.00 0.96
7 figure eights hassling blinker
(occurred in tetramer)
Xp8 0gk2gb3zg11z3y0eeegggzy4333.png 96 0.98 0.92
8 wriggly spark-coil-like beehive hassler Xp8 xjdcdjzoe7jxj7eozg9fpxpf9gz17esxse71zxcb3bc.png 96 0.97 0.95
9 circle of Coe's p8s Xp8 ggwo46awjjgz1pg81g1x20436zw12iiwkp87w33zy011.png 96 0.97 0.94
10 Coe's p8 on figure eight
(occurred in dimer)
Xp8 ybkp87w33zy6g0oozy4cd042za8963z66.png 96 0.97 0.97
11 four Coe's p8s hassling loaves Xp8 y6jjgzy620436z33w78pkxog26cxkc8gzy8h1gy1203w33zy813445zyb33.png 96 0.95 0.95
12 four Coe's p8s hassling beacons Xp8 c813w78pkwggza2icoy4126zy0c8gy43698azy211w5j2swog26.png 96 0.95 0.95
13 odd- and even-symmetry two Coe's p8s Xp8 33w78pkzy65j2swoo.png 96 0.94 0.94
14 blocktopus[note 1] Xp8 y7jjgxgjjzy66oq03030qo6z66wegl166k430111034k661lgew66zoows2a0oob8gy1g8boo0a2swoozy211wo6n0h1h0n6ow11zy7ii21012iizy711y111.png 96 0.94 0.92
15 cis- and trans-figure eights
hassling long barge
Xp8 3bg2kgzxgh1zw125a6x3bg2kgzya11.png 96 0.93 0.93
16 two Coe's p8s with blocks
interacting with each other's
Xp8 33w78pkwggzy5sv30ggzy9291ewcc.png 96 0.93 0.93
17 far and near two Coe's p8s with blocks
interacting with single one
(that becomes loaf)
Xp8 yfj3zyb2c523zy766w33zggwgkp62033z11.png 96 0.92 0.90
18 trans- and cis-Coe's p8s hassling beacon Xp8 y2ggwkp87w33zy0621za8963z66.png 96 0.92 0.92
19 D8_1 ship and near and far block hassler Xp8 y831y313zy76552630362556zc4xciew84a5y35a48weicx4czy1arhyfhraz64x69ew24aky3ka42we96x46zy7ckk8co0oc8kkczy8ogy3go.png 96 0.92 0.92
20 fourfold T-nosed p8 hassling interior ships Xp8 y1g9b8889b9888b9gz640u1wggcgc0cgcggw1u046ze40vxaahy1haaxv04ezc40fgw11616061611wgf04czy11iq222iqi222qi1.png 96 0.92 0.34
21 unnamed Xp8 y38211ewe1128zg8040co972y2279oc0408gz1iiiyeiii1z34080c64ogy2go46c08043zy35hwswswh5zy511y011.png 96 0.90 0.84
22 Coe's p8 Coesp8.png 96 0.90 0.90
23 Achim's p8 Achimsp8.png 96 0.90 0.70
24 Blocker Blocker.png 96 0.89 0.89
25 fourfold T-nosed p8 with beacons inside Xp8 y1g9b8889b9888b9gz640u1w8408o0o8048w1u046ze40vy0ray1ary0v04ezc40fgw24023032042wgf04czy11iq222iqi222qi1.png 96 0.87 0.15
26 two blockers hassling pond Xp8 y36664abw66z0ssw6996z4616z033.png 96 0.86 0.86
27 fourfold T-nosed p8 with four mutually stabilising butterflies inside Xp8 y1g9b8889b9888b9gz640u1w8408o0o8048w1u046ze40vy0raah0haary0v04ezc40fgw24023032042wgf04czy11iq222iqi222qi1.png 96 0.85 0.15
28 eaters eating Kok's galaxy Xp8 8oy8ca23z0123w8m46042skzy2aeg80o8q4wggzxggkcy61074zx1.png 96 0.84 0.84

Extensible oscillators and infinite sets are noted as such but only listed as their first term, to prevent arbitrarily large ones approaching volatility 1.

Notes

  1. It contains both phases of an ephemeral scrubber in its centre

See also