Difference between revisions of "List of common oscillators"
Jump to navigation
Jump to search
(Removed duplicate entry) |
(Added glider costs) |
||
Line 1: | Line 1: | ||
This is a '''list of the most [[common]] [[oscillator]]s''' in the [[Conway's Game of Life|Game of Life]], specifically [[Catagolue]]'s B3/S23/[[symmetry|C1]] census. The '''approximate relative frequency''' column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type. Proper names for objects are taken from Catagolue where applicable; the [[apgcode]] of the object is substituted otherwise. | This is a '''list of the most [[common]] [[oscillator]]s''' in the [[Conway's Game of Life|Game of Life]], specifically [[Catagolue]]'s B3/S23/[[symmetry|C1]] census. The minimum known [[glider synthesis]], as of July 2019, of each oscillator is also displayed. The '''approximate relative frequency''' column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type. Proper names for objects are taken from Catagolue where applicable; the [[apgcode]] of the object is substituted otherwise. | ||
{| class="wikitable" | {| class="wikitable" | ||
Line 8: | Line 8: | ||
! [[Heat]] | ! [[Heat]] | ||
! Minimum # of [[cell]]s | ! Minimum # of [[cell]]s | ||
! [[Glider synthesis|Glider cost]] | |||
! Approximate relative frequency (out of 1.00) | ! Approximate relative frequency (out of 1.00) | ||
|- | |- | ||
! 1 | ! 1 | ||
| [[Blinker]] | | [[Blinker]] | ||
| | | {{period|2|brief}} | ||
| [[:Category:Oscillators with heat 4|4]] | | [[:Category:Oscillators with heat 4|4]] | ||
| [[:Category:Oscillators with 3 cells|3]] | | [[:Category:Oscillators with 3 cells|3]] | ||
| {{gliders|2|brief}} | |||
| 0.990 | | 0.990 | ||
|- | |- | ||
Line 22: | Line 24: | ||
| [[:Category:Oscillators with heat 8|8]] | | [[:Category:Oscillators with heat 8|8]] | ||
| [[:Category:Oscillators with 6 cells|6]] | | [[:Category:Oscillators with 6 cells|6]] | ||
| {{gliders|3|brief}} | |||
| 0.00755 | | 0.00755 | ||
|- | |- | ||
Line 29: | Line 32: | ||
| [[:Category:Oscillators with heat 2|2]] | | [[:Category:Oscillators with heat 2|2]] | ||
| 6 | | 6 | ||
| 3 | |||
| 0.00236 | | 0.00236 | ||
|- | |- | ||
! 4 | ! 4 | ||
| [[Pulsar]] | | [[Pulsar]] | ||
| | | {{period|3|brief}} | ||
| [[:Category:Oscillators with heat 42|42.7]] | | [[:Category:Oscillators with heat 42|42.7]] | ||
| [[:Category:Oscillators with 48 cells|48]] | | [[:Category:Oscillators with 48 cells|48]] | ||
| 3 | |||
| 0.000243 | | 0.000243 | ||
|- | |- | ||
! 5 | ! 5 | ||
| [[Pentadecathlon]] | | [[Pentadecathlon]] | ||
| | | {{period|15|brief}} | ||
| [[:Category:Oscillators with heat 22|22.4]] | | [[:Category:Oscillators with heat 22|22.4]] | ||
| [[:Category:Oscillators with 12 cells|12]] | | [[:Category:Oscillators with 12 cells|12]] | ||
| 3 | |||
| 0.00000262 | | 0.00000262 | ||
|- | |- | ||
Line 50: | Line 56: | ||
| 8 | | 8 | ||
| 6 | | 6 | ||
| {{gliders|4|brief}} | |||
| 0.00000153 | | 0.00000153 | ||
|- | |- | ||
Line 57: | Line 64: | ||
| 4 | | 4 | ||
| [[:Category:Oscillators with 8 cells|8]] | | [[:Category:Oscillators with 8 cells|8]] | ||
| {{gliders|5|brief}} | |||
| 3.194×10<sup>-7</sup> | | 3.194×10<sup>-7</sup> | ||
|- | |- | ||
Line 64: | Line 72: | ||
| 8 | | 8 | ||
| [[:Category:Oscillators with 10 cells|10]] | | [[:Category:Oscillators with 10 cells|10]] | ||
| 5 | |||
| 2.857×10<sup>-7</sup> | | 2.857×10<sup>-7</sup> | ||
|- | |- | ||
Line 71: | Line 80: | ||
| 2 | | 2 | ||
| [[:Category:Oscillators with 18 cells|18]] | | [[:Category:Oscillators with 18 cells|18]] | ||
| 5 | |||
| 1.968×10<sup>-7</sup> | | 1.968×10<sup>-7</sup> | ||
|- | |- | ||
! 10 | ! 10 | ||
| [[Figure eight]] | | [[Figure eight]] | ||
| | | {{period|8|brief}} | ||
| [[:Category:Oscillators with heat 16|16.5]] | | [[:Category:Oscillators with heat 16|16.5]] | ||
| [[:Category:Oscillators with 12 cells|12]] | | [[:Category:Oscillators with 12 cells|12]] | ||
| 4 | |||
| 9.380×10<sup>-8</sup> | | 9.380×10<sup>-8</sup> | ||
|- | |- | ||
Line 85: | Line 96: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 4 | |||
| 6.438×10<sup>-8</sup> | | 6.438×10<sup>-8</sup> | ||
|- | |- | ||
! 12 | ! 12 | ||
| [[Mold]] | | [[Mold]] | ||
| | | {{period|4|brief}} | ||
| [[:Category:Oscillators with heat 7|7]] | | [[:Category:Oscillators with heat 7|7]] | ||
| 12 | | 12 | ||
| 5 | |||
| 5.368×10<sup>-8</sup> | | 5.368×10<sup>-8</sup> | ||
|- | |- | ||
Line 99: | Line 112: | ||
| 8 | | 8 | ||
| [[:Category:Oscillators with 16 cells|16]] | | [[:Category:Oscillators with 16 cells|16]] | ||
| {{gliders|7|brief}} | |||
| 2.206×10<sup>-8</sup> | | 2.206×10<sup>-8</sup> | ||
|- | |- | ||
Line 106: | Line 120: | ||
| [[:Category:Oscillators with heat 6|6]] | | [[:Category:Oscillators with heat 6|6]] | ||
| [[:Category:Oscillators with 9 cells|9]] | | [[:Category:Oscillators with 9 cells|9]] | ||
| {{gliders|6|brief}} | |||
| 1.085×10<sup>-8</sup> | | 1.085×10<sup>-8</sup> | ||
|- | |- | ||
Line 113: | Line 128: | ||
| [[:Category:Oscillators with heat 14|14]] | | [[:Category:Oscillators with heat 14|14]] | ||
| 12 | | 12 | ||
| 5 | |||
| 1.022×10<sup>-8</sup> | | 1.022×10<sup>-8</sup> | ||
|- | |- | ||
Line 120: | Line 136: | ||
| [[:Category:Oscillators with heat 9|9]] | | [[:Category:Oscillators with heat 9|9]] | ||
| [[:Category:Oscillators with 15 cells|15]] | | [[:Category:Oscillators with 15 cells|15]] | ||
| 5 | |||
| 7.125×10<sup>-9</sup> | | 7.125×10<sup>-9</sup> | ||
|- | |- | ||
Line 127: | Line 144: | ||
| 14.3 | | 14.3 | ||
| [[:Category:Oscillators with 13 cells|13]] | | [[:Category:Oscillators with 13 cells|13]] | ||
| 6 | |||
| 5.391×10<sup>-9</sup> | | 5.391×10<sup>-9</sup> | ||
|- | |- | ||
! 18 | ! 18 | ||
| [[Trans-queen bee shuttle]] | | [[Trans-queen bee shuttle]] | ||
| | | {{period|30|brief}} | ||
| [[:Category:Oscillators with heat 17|17.9]] | | [[:Category:Oscillators with heat 17|17.9]] | ||
| [[:Category:Oscillators with 20 cells|20]] | | [[:Category:Oscillators with 20 cells|20]] | ||
| 6 | |||
| 3.089×10<sup>-9</sup> | | 3.089×10<sup>-9</sup> | ||
|- | |- | ||
Line 141: | Line 160: | ||
| 17.9 | | 17.9 | ||
| 20 | | 20 | ||
| 6 | |||
| 3.027×10<sup>-9</sup> | | 3.027×10<sup>-9</sup> | ||
|- | |- | ||
Line 148: | Line 168: | ||
| 2 | | 2 | ||
| 12 | | 12 | ||
| 6 | |||
| 2.562×10<sup>-9</sup> | | 2.562×10<sup>-9</sup> | ||
|- | |- | ||
Line 155: | Line 176: | ||
| 2 | | 2 | ||
| 12 | | 12 | ||
| 6 | |||
| 2.519×10<sup>-9</sup> | | 2.519×10<sup>-9</sup> | ||
|- | |- | ||
Line 162: | Line 184: | ||
| 2 | | 2 | ||
| 16 | | 16 | ||
| 7 | |||
| 2.398×10<sup>-9</sup> | | 2.398×10<sup>-9</sup> | ||
|- | |- | ||
Line 169: | Line 192: | ||
| 4 | | 4 | ||
| [[:Category:Oscillators with 40 cells|40]] | | [[:Category:Oscillators with 40 cells|40]] | ||
| 6 | |||
| 1.936×10<sup>-9</sup> | | 1.936×10<sup>-9</sup> | ||
|- | |- | ||
Line 176: | Line 200: | ||
| 2 | | 2 | ||
| [[:Category:Oscillators with 14 cells|14]] | | [[:Category:Oscillators with 14 cells|14]] | ||
| 6 | |||
| 2.000×10<sup>-9</sup> | | 2.000×10<sup>-9</sup> | ||
|- | |- | ||
Line 183: | Line 208: | ||
| 2 | | 2 | ||
| [[:Category:Oscillators with 19 cells|19]] | | [[:Category:Oscillators with 19 cells|19]] | ||
| 6 | |||
| 1.868×10<sup>-9</sup> | | 1.868×10<sup>-9</sup> | ||
|- | |- | ||
! 26 | ! 26 | ||
| [[Octagon 2]] | | [[Octagon 2]] | ||
| | | {{period|5|brief}} | ||
| 16 | | 16 | ||
| 16 | | 16 | ||
| 6 | |||
| 1.609×10<sup>-9</sup> | | 1.609×10<sup>-9</sup> | ||
|- | |- | ||
! 27 | ! 27 | ||
| [[Unix]] | | [[Unix]] | ||
| | | {{period|6|brief}} | ||
| [[:Category:Oscillators with heat 11|11.3]] | | [[:Category:Oscillators with heat 11|11.3]] | ||
| 16 | | 16 | ||
| 5 | |||
| 1.589×10<sup>-9</sup> | | 1.589×10<sup>-9</sup> | ||
|- | |- | ||
Line 204: | Line 232: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 7 | |||
| 1.554×10<sup>-9</sup> | | 1.554×10<sup>-9</sup> | ||
|- | |- | ||
Line 211: | Line 240: | ||
| 2 | | 2 | ||
| 16 | | 16 | ||
| 6 | |||
| 1.457×10<sup>-9</sup> | | 1.457×10<sup>-9</sup> | ||
|- | |- | ||
Line 218: | Line 248: | ||
| 2 | | 2 | ||
| 16 | | 16 | ||
| 7 | |||
| 1.101×10<sup>-9</sup> | | 1.101×10<sup>-9</sup> | ||
|- | |- | ||
! 31 | ! 31 | ||
| [[Tumbler]] | | [[Tumbler]] | ||
| | | {{period|14|brief}} | ||
| [[:Category:Oscillators with heat 10|10.3]] | | [[:Category:Oscillators with heat 10|10.3]] | ||
| 16 | | 16 | ||
| 6 | |||
| 1.052×10<sup>-9</sup> | | 1.052×10<sup>-9</sup> | ||
|- | |- | ||
Line 232: | Line 264: | ||
| 6 | | 6 | ||
| 15 | | 15 | ||
| 6 | |||
| 9.899×10<sup>-10</sup> | | 9.899×10<sup>-10</sup> | ||
|- | |- | ||
Line 239: | Line 272: | ||
| 4 | | 4 | ||
| [[:Category:Oscillators with 24 cells|24]] | | [[:Category:Oscillators with 24 cells|24]] | ||
| 6 | |||
| 6.752×10<sup>-10</sup> | | 6.752×10<sup>-10</sup> | ||
|- | |- | ||
Line 246: | Line 280: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 6 | |||
| 6.449×10<sup>-10</sup> | | 6.449×10<sup>-10</sup> | ||
|- | |- | ||
Line 253: | Line 288: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 6 | |||
| 5.965×10<sup>-10</sup> | | 5.965×10<sup>-10</sup> | ||
|- | |- | ||
Line 260: | Line 296: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 6 | |||
| 5.341×10<sup>-10</sup> | | 5.341×10<sup>-10</sup> | ||
|- | |- | ||
Line 267: | Line 304: | ||
| 6 | | 6 | ||
| 16 | | 16 | ||
| {{gliders|9|brief}} | |||
| 5.341×10<sup>-10</sup> | | 5.341×10<sup>-10</sup> | ||
|- | |- | ||
Line 274: | Line 312: | ||
| 2 | | 2 | ||
| [[:Category:Oscillators with 21 cells|21]] | | [[:Category:Oscillators with 21 cells|21]] | ||
| 6 | |||
| 4.333×10<sup>-10</sup> | | 4.333×10<sup>-10</sup> | ||
|- | |- | ||
Line 281: | Line 320: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 6 | |||
| 2.644×10<sup>-10</sup> | | 2.644×10<sup>-10</sup> | ||
|- | |- | ||
Line 288: | Line 328: | ||
| 14.7 | | 14.7 | ||
| 12 | | 12 | ||
| 7 | |||
| 2.503×10<sup>-10</sup> | | 2.503×10<sup>-10</sup> | ||
|- | |- | ||
Line 295: | Line 336: | ||
| [[:Category:Oscillators with heat 12|12.5]] | | [[:Category:Oscillators with heat 12|12.5]] | ||
| [[:Category:Oscillators with 17 cells|17]] | | [[:Category:Oscillators with 17 cells|17]] | ||
| 5 | |||
| 2.327×10<sup>-10</sup> | | 2.327×10<sup>-10</sup> | ||
|- | |- | ||
Line 302: | Line 344: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| {{gliders|8|brief}} | |||
| 2.037×10<sup>-10</sup> | | 2.037×10<sup>-10</sup> | ||
|- | |- | ||
Line 309: | Line 352: | ||
| 2 | | 2 | ||
| 16 | | 16 | ||
| 8 | |||
| 1.772×10<sup>-10</sup> | | 1.772×10<sup>-10</sup> | ||
|- | |- | ||
Line 316: | Line 360: | ||
| 6 | | 6 | ||
| 17 | | 17 | ||
| 8 | |||
| 1.760×10<sup>-10</sup> | | 1.760×10<sup>-10</sup> | ||
|- | |- | ||
Line 323: | Line 368: | ||
| 2 | | 2 | ||
| [[:Category:Oscillators with 23 cells|23]] | | [[:Category:Oscillators with 23 cells|23]] | ||
| 5 | |||
| 1.719×10<sup>-10</sup> | | 1.719×10<sup>-10</sup> | ||
|- | |- | ||
Line 330: | Line 376: | ||
| 6 | | 6 | ||
| 16 | | 16 | ||
| 7 | |||
| 1.678×10<sup>-10</sup> | | 1.678×10<sup>-10</sup> | ||
|- | |- | ||
Line 337: | Line 384: | ||
| 2 | | 2 | ||
| 20 | | 20 | ||
| 5 | |||
| 1.651×10<sup>-10</sup> | | 1.651×10<sup>-10</sup> | ||
|- | |- | ||
Line 344: | Line 392: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 6 | |||
| 1.592×10<sup>-10</sup> | | 1.592×10<sup>-10</sup> | ||
|- | |- | ||
Line 351: | Line 400: | ||
| 4 | | 4 | ||
| 14 | | 14 | ||
| 8 | |||
| 1.386×10<sup>-10</sup> | | 1.386×10<sup>-10</sup> | ||
|- | |- | ||
Line 358: | Line 408: | ||
| 4 | | 4 | ||
| 13 | | 13 | ||
| 8 | |||
| 1.265×10<sup>-10</sup> | | 1.265×10<sup>-10</sup> | ||
|- | |- | ||
Line 365: | Line 416: | ||
| 6 | | 6 | ||
| 16 | | 16 | ||
| 9 | |||
| 9.114×10<sup>-11</sup> | | 9.114×10<sup>-11</sup> | ||
|- | |- | ||
Line 372: | Line 424: | ||
| 8 | | 8 | ||
| 15 | | 15 | ||
| 7 | |||
| 8.759×10<sup>-11</sup> | | 8.759×10<sup>-11</sup> | ||
|- | |- | ||
Line 379: | Line 432: | ||
| 4 | | 4 | ||
| 16 | | 16 | ||
| 6 | |||
| 8.731×10<sup>-11</sup> | | 8.731×10<sup>-11</sup> | ||
|- | |- | ||
Line 386: | Line 440: | ||
| 2 | | 2 | ||
| 19 | | 19 | ||
| 6 | |||
| 6.595×10<sup>-11</sup> | | 6.595×10<sup>-11</sup> | ||
|- | |- | ||
Line 393: | Line 448: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 7 | |||
| 6.473×10<sup>-11</sup> | | 6.473×10<sup>-11</sup> | ||
|- | |- | ||
Line 400: | Line 456: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 9 | |||
| 6.073×10<sup>-11</sup> | | 6.073×10<sup>-11</sup> | ||
|- | |- | ||
Line 407: | Line 464: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 8 | |||
| 5.814×10<sup>-11</sup> | | 5.814×10<sup>-11</sup> | ||
|- | |- | ||
Line 414: | Line 472: | ||
| 2 | | 2 | ||
| 17 | | 17 | ||
| {{gliders|10|brief}} | |||
| 5.727×10<sup>-11</sup> | | 5.727×10<sup>-11</sup> | ||
|- | |- | ||
Line 421: | Line 480: | ||
| 2 | | 2 | ||
| 15 | | 15 | ||
| 7 | |||
| 5.648×10<sup>-11</sup> | | 5.648×10<sup>-11</sup> | ||
|- | |- | ||
Line 428: | Line 488: | ||
| 2 | | 2 | ||
| 21 | | 21 | ||
| 9 | |||
| 5.061×10<sup>-11</sup> | | 5.061×10<sup>-11</sup> | ||
|- | |- | ||
Line 435: | Line 496: | ||
| 2 | | 2 | ||
| 20 | | 20 | ||
| 9 | |||
| 4.651×10<sup>-11</sup> | | 4.651×10<sup>-11</sup> | ||
|- | |- | ||
Line 442: | Line 504: | ||
| 6 | | 6 | ||
| 18 | | 18 | ||
| 9 | |||
| 4.028×10<sup>-11</sup> | | 4.028×10<sup>-11</sup> | ||
|- | |- | ||
Line 449: | Line 512: | ||
| 2 | | 2 | ||
| 17 | | 17 | ||
| {{gliders|12|brief}} | |||
| 3.837×10<sup>-11</sup> | | 3.837×10<sup>-11</sup> | ||
|- | |- | ||
Line 456: | Line 520: | ||
| 2 | | 2 | ||
| 14 | | 14 | ||
| 9 | |||
| 3.475×10<sup>-11</sup> | | 3.475×10<sup>-11</sup> | ||
|- | |- | ||
Line 463: | Line 528: | ||
| 6 | | 6 | ||
| 19 | | 19 | ||
| 5 | |||
| 2.762×10<sup>-11</sup> | | 2.762×10<sup>-11</sup> | ||
|- | |- | ||
Line 470: | Line 536: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 7 | |||
| 2.676×10<sup>-11</sup> | | 2.676×10<sup>-11</sup> | ||
|- | |- | ||
Line 477: | Line 544: | ||
| 6 | | 6 | ||
| 17 | | 17 | ||
| 9 | |||
| 2.400×10<sup>-11</sup> | | 2.400×10<sup>-11</sup> | ||
|- | |- | ||
Line 484: | Line 552: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 12 | |||
| 2.375×10<sup>-11</sup> | | 2.375×10<sup>-11</sup> | ||
|- | |- | ||
Line 491: | Line 560: | ||
| 2 | | 2 | ||
| 22 | | 22 | ||
| | |||
| 2.368×10<sup>-11</sup> | | 2.368×10<sup>-11</sup> | ||
|- | |- | ||
Line 498: | Line 568: | ||
| [[:Category:Oscillators with heat 3|3]] | | [[:Category:Oscillators with heat 3|3]] | ||
| 16 | | 16 | ||
| 9 | |||
| 2.275×10<sup>-11</sup> | | 2.275×10<sup>-11</sup> | ||
|- | |- | ||
Line 505: | Line 576: | ||
| 6 | | 6 | ||
| 17 | | 17 | ||
| {{gliders|11|brief}} | |||
| 2.264×10<sup>-11</sup> | | 2.264×10<sup>-11</sup> | ||
|- | |- | ||
Line 512: | Line 584: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 11 | |||
| 2.201×10<sup>-11</sup> | | 2.201×10<sup>-11</sup> | ||
|- | |- | ||
Line 519: | Line 592: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 9 | |||
| 2.117×10<sup>-11</sup> | | 2.117×10<sup>-11</sup> | ||
|- | |- | ||
Line 526: | Line 600: | ||
| [[:Category:Oscillators with heat 18|18]] | | [[:Category:Oscillators with heat 18|18]] | ||
| 12 | | 12 | ||
| 7 | |||
| 2.075×10<sup>-11</sup> | | 2.075×10<sup>-11</sup> | ||
|- | |- | ||
Line 533: | Line 608: | ||
| 12.8 | | 12.8 | ||
| 18 | | 18 | ||
| 7 | |||
| 1.797×10<sup>-11</sup> | | 1.797×10<sup>-11</sup> | ||
|- | |- | ||
Line 540: | Line 616: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| | |||
| 1.586×10<sup>-11</sup> | | 1.586×10<sup>-11</sup> | ||
|- | |- | ||
Line 547: | Line 624: | ||
| 2 | | 2 | ||
| 17 | | 17 | ||
| 9 | |||
| 1.466×10<sup>-11</sup> | | 1.466×10<sup>-11</sup> | ||
|- | |- | ||
Line 554: | Line 632: | ||
| 2 | | 2 | ||
| 19 | | 19 | ||
| | |||
| 1.421×10<sup>-11</sup> | | 1.421×10<sup>-11</sup> | ||
|- | |- | ||
Line 560: | Line 639: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| | |||
| 1.421×10<sup>-11</sup> | | 1.421×10<sup>-11</sup> | ||
|- | |- | ||
Line 567: | Line 647: | ||
| 6 | | 6 | ||
| 17 | | 17 | ||
| 10 | |||
| 1.405×10<sup>-11</sup> | | 1.405×10<sup>-11</sup> | ||
|- | |- | ||
Line 574: | Line 655: | ||
| 3 | | 3 | ||
| 18 | | 18 | ||
| 9 | |||
| 1.323×10<sup>-11</sup> | | 1.323×10<sup>-11</sup> | ||
|- | |- | ||
Line 581: | Line 663: | ||
| 3 | | 3 | ||
| 24 | | 24 | ||
| {{gliders|16|brief}} | |||
| 1.256×10<sup>-11</sup> | | 1.256×10<sup>-11</sup> | ||
|- | |- | ||
Line 588: | Line 671: | ||
| 2 | | 2 | ||
| 16 | | 16 | ||
| 9 | |||
| 1.239×10<sup>-11</sup> | | 1.239×10<sup>-11</sup> | ||
|- | |- | ||
Line 595: | Line 679: | ||
| 3 | | 3 | ||
| 19 | | 19 | ||
| 9 | |||
| 1.185×10<sup>-11</sup> | | 1.185×10<sup>-11</sup> | ||
|- | |- | ||
Line 602: | Line 687: | ||
| 2 | | 2 | ||
| 15 | | 15 | ||
| 9 | |||
| 1.131×10<sup>-11</sup> | | 1.131×10<sup>-11</sup> | ||
|- | |- | ||
Line 609: | Line 695: | ||
| 2 | | 2 | ||
| 17 | | 17 | ||
| 9 | |||
| 1.042×10<sup>-11</sup> | | 1.042×10<sup>-11</sup> | ||
|- | |- | ||
Line 616: | Line 703: | ||
| 2 | | 2 | ||
| 22 | | 22 | ||
| | |||
| 9.960×10<sup>-12</sup> | | 9.960×10<sup>-12</sup> | ||
|- | |- | ||
Line 623: | Line 711: | ||
| [[:Category:Oscillators with heat 44|44.3]] | | [[:Category:Oscillators with heat 44|44.3]] | ||
| 24 | | 24 | ||
| | |||
| 9.890×10<sup>-12</sup> | | 9.890×10<sup>-12</sup> | ||
|- | |- | ||
Line 630: | Line 719: | ||
| 3 | | 3 | ||
| 19 | | 19 | ||
| | |||
| 9.811×10<sup>-12</sup> | | 9.811×10<sup>-12</sup> | ||
|- | |- | ||
Line 637: | Line 727: | ||
| 3 | | 3 | ||
| 20 | | 20 | ||
| | |||
| 9.513×10<sup>-12</sup> | | 9.513×10<sup>-12</sup> | ||
|- | |- | ||
Line 644: | Line 735: | ||
| 3 | | 3 | ||
| 20 | | 20 | ||
| | |||
| 9.474×10<sup>-12</sup> | | 9.474×10<sup>-12</sup> | ||
|- | |- | ||
Line 651: | Line 743: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| | |||
| 8.901×10<sup>-12</sup> | | 8.901×10<sup>-12</sup> | ||
|- | |- | ||
Line 658: | Line 751: | ||
| 3 | | 3 | ||
| 18 | | 18 | ||
| 10 | |||
| 8.658×10<sup>-12</sup> | | 8.658×10<sup>-12</sup> | ||
|- | |- | ||
Line 665: | Line 759: | ||
| 2 | | 2 | ||
| 19 | | 19 | ||
| | |||
| 8.540×10<sup>-12</sup> | | 8.540×10<sup>-12</sup> | ||
|- | |- | ||
Line 672: | Line 767: | ||
| 2 | | 2 | ||
| 20 | | 20 | ||
| 10 | |||
| 8.430×10<sup>-12</sup> | | 8.430×10<sup>-12</sup> | ||
|- | |- | ||
Line 679: | Line 775: | ||
| 2 | | 2 | ||
| 17 | | 17 | ||
| 8 | |||
| 8.273×10<sup>-12</sup> | | 8.273×10<sup>-12</sup> | ||
|- | |- | ||
Line 686: | Line 783: | ||
| 2 | | 2 | ||
| 18 | | 18 | ||
| 10 | |||
| 8.179×10<sup>-12</sup> | | 8.179×10<sup>-12</sup> | ||
|- | |- | ||
Line 693: | Line 791: | ||
| 3 | | 3 | ||
| 17 | | 17 | ||
| 9 | |||
| 8.147×10<sup>-12</sup> | | 8.147×10<sup>-12</sup> | ||
|- | |- | ||
Line 700: | Line 799: | ||
| 2 | | 2 | ||
| 23 | | 23 | ||
| | |||
| 8.100×10<sup>-12</sup> | | 8.100×10<sup>-12</sup> | ||
|- | |- |
Revision as of 17:09, 9 July 2019
This is a list of the most common oscillators in the Game of Life, specifically Catagolue's B3/S23/C1 census. The minimum known glider synthesis, as of July 2019, of each oscillator is also displayed. The approximate relative frequency column gives an estimate of the proportion of all randomly-occurring oscillators that will be of the given type. Proper names for objects are taken from Catagolue where applicable; the apgcode of the object is substituted otherwise.
Rank | Pattern | Period | Heat | Minimum # of cells | Glider cost | Approximate relative frequency (out of 1.00) |
---|---|---|---|---|---|---|
1 | Blinker | 2 | 4 | 3 | 2 | 0.990 |
2 | Toad | 2 | 8 | 6 | 3 | 0.00755 |
3 | Beacon | 2 | 2 | 6 | 3 | 0.00236 |
4 | Pulsar | 3 | 42.7 | 48 | 3 | 0.000243 |
5 | Pentadecathlon | 15 | 22.4 | 12 | 3 | 0.00000262 |
6 | Clock | 2 | 8 | 6 | 4 | 0.00000153 |
7 | Bipole | 2 | 4 | 8 | 5 | 3.194×10-7 |
8 | Quadpole | 2 | 8 | 10 | 5 | 2.857×10-7 |
9 | Great on-off | 2 | 2 | 18 | 5 | 1.968×10-7 |
10 | Figure eight | 8 | 16.5 | 12 | 4 | 9.380×10-8 |
11 | Spark coil | 2 | 2 | 18 | 4 | 6.438×10-8 |
12 | Mold | 4 | 7 | 12 | 5 | 5.368×10-8 |
13 | Quadpole on ship | 2 | 8 | 16 | 7 | 2.206×10-8 |
14 | Tripole | 2 | 6 | 9 | 6 | 1.085×10-8 |
15 | Mazing | 4 | 14 | 12 | 5 | 1.022×10-8 |
16 | Blocker | 8 | 9 | 15 | 5 | 7.125×10-9 |
17 | Jam | 3 | 14.3 | 13 | 6 | 5.391×10-9 |
18 | Trans-queen bee shuttle | 30 | 17.9 | 20 | 6 | 3.089×10-9 |
19 | Cis-queen bee shuttle | 30 | 17.9 | 20 | 6 | 3.027×10-9 |
20 | Trans-beacon on table | 2 | 2 | 12 | 6 | 2.562×10-9 |
21 | Cis-beacon on table | 2 | 2 | 12 | 6 | 2.519×10-9 |
22 | Cis-beacon on dock | 2 | 2 | 16 | 7 | 2.398×10-9 |
23 | Achim's p4 | 4 | 4 | 40 | 6 | 1.936×10-9 |
24 | Test tube baby | 2 | 2 | 14 | 6 | 2.000×10-9 |
25 | Cis-beacon on anvil | 2 | 2 | 19 | 6 | 1.868×10-9 |
26 | Octagon 2 | 5 | 16 | 16 | 6 | 1.609×10-9 |
27 | Unix | 6 | 11.3 | 16 | 5 | 1.589×10-9 |
28 | 1 beacon | 2 | 2 | 18 | 7 | 1.554×10-9 |
29 | Tub test tube baby | 2 | 2 | 16 | 6 | 1.457×10-9 |
30 | Trans-beacon on dock | 2 | 2 | 16 | 7 | 1.101×10-9 |
31 | Tumbler | 14 | 10.3 | 16 | 6 | 1.052×10-9 |
32 | Block on griddle | 2 | 6 | 15 | 6 | 9.899×10-10 |
33 | Fore and back | 2 | 4 | 24 | 6 | 6.752×10-10 |
34 | Cis-beacon up on long hook | 2 | 2 | 14 | 6 | 6.449×10-10 |
35 | Cis-beacon on cap | 2 | 2 | 14 | 6 | 5.965×10-10 |
36 | Cis-beacon down on long hook | 2 | 2 | 14 | 6 | 5.341×10-10 |
37 | Trans-block on long hook eating tub | 3 | 6 | 16 | 9 | 5.341×10-10 |
38 | 20P2 | 2 | 2 | 21 | 6 | 4.333×10-10 |
39 | Trans-beacon down on long hook | 2 | 2 | 14 | 6 | 2.644×10-10 |
40 | Caterer | 3 | 14.7 | 12 | 7 | 2.503×10-10 |
41 | Coe's p8 | 8 | 12.5 | 17 | 5 | 2.327×10-10 |
42 | Trans-beacon on cap | 2 | 2 | 14 | 8 | 2.037×10-10 |
43 | 21P2 | 2 | 2 | 16 | 8 | 1.772×10-10 |
44 | Beehive on griddle | 2 | 6 | 17 | 8 | 1.760×10-10 |
45 | Boat on spark coil | 2 | 2 | 23 | 5 | 1.719×10-10 |
46 | Candlefrobra | 3 | 6 | 16 | 7 | 1.678×10-10 |
47 | 22P2 | 2 | 2 | 20 | 5 | 1.651×10-10 |
48 | Trans-beacon up on long hook | 2 | 2 | 14 | 6 | 1.592×10-10 |
49 | Bipole on ship | 2 | 4 | 14 | 8 | 1.386×10-10 |
50 | Bipole on boat | 2 | 4 | 13 | 8 | 1.265×10-10 |
51 | Boat on griddle | 2 | 6 | 16 | 9 | 9.114×10-11 |
52 | Boat on quadpole | 2 | 8 | 15 | 7 | 8.759×10-11 |
53 | Four boats | 2 | 4 | 16 | 6 | 8.731×10-11 |
54 | Monotub spark coil | 2 | 2 | 19 | 6 | 6.595×10-11 |
55 | xp2_og2t1e8z6221 | 2 | 2 | 18 | 7 | 6.473×10-11 |
56 | xp2_caabaiczw32 | 2 | 2 | 18 | 9 | 6.073×10-11 |
57 | Eater plug | 2 | 2 | 14 | 8 | 5.814×10-11 |
58 | 23P2 | 2 | 2 | 17 | 10 | 5.727×10-11 |
59 | Odd test tube baby | 2 | 2 | 15 | 7 | 5.648×10-11 |
60 | G and spark coil | 2 | 2 | 21 | 9 | 5.061×10-11 |
61 | 26P2 | 2 | 2 | 20 | 9 | 4.651×10-11 |
62 | Beehive on long hook eating tub | 3 | 6 | 18 | 9 | 4.028×10-11 |
63 | Z and cis-beacon and block | 2 | 2 | 17 | 12 | 3.837×10-11 |
64 | Beacon and two tails | 2 | 2 | 14 | 9 | 3.475×10-11 |
65 | Blocks on griddle | 2 | 6 | 19 | 5 | 2.762×10-11 |
66 | xp3_6a889b8ozx33 | 3 | 2 | 18 | 7 | 2.676×10-11 |
67 | Cis-boat on long hook eating tub | 3 | 6 | 17 | 9 | 2.400×10-11 |
68 | 24P2 | 2 | 2 | 18 | 12 | 2.375×10-11 |
69 | xp2_0318cz259d1d96 | 2 | 2 | 22 | 2.368×10-11 | |
70 | xp2_gk2t2sgzw23 | 2 | 3 | 16 | 9 | 2.275×10-11 |
71 | Griddle and table | 2 | 6 | 17 | 11 | 2.264×10-11 |
72 | Racetrack and ortho-beacon | 2 | 2 | 18 | 11 | 2.201×10-11 |
73 | Cis-bipole and dock | 2 | 2 | 18 | 9 | 2.117×10-11 |
74 | Fox | 2 | 18 | 12 | 7 | 2.075×10-11 |
75 | Fumarole | 5 | 12.8 | 18 | 7 | 1.797×10-11 |
76 | xp2_0318cz69d552 | 2 | 2 | 18 | 1.586×10-11 | |
77 | Beehive test tube baby | 2 | 2 | 17 | 9 | 1.466×10-11 |
78 | xp2_gwci96zh15dz11 | 2 | 2 | 19 | 1.421×10-11 | |
xp2_og2t1acz6221 | 2 | 2 | 18 | 1.421×10-11 | ||
80 | Candlefrobra on cis-boat-up | 3 | 6 | 17 | 10 | 1.405×10-11 |
81 | Loaf on griddle | 2 | 3 | 18 | 9 | 1.323×10-11 |
82 | Lightbulb and cis-hook | 2 | 3 | 24 | 16 | 1.256×10-11 |
83 | Boat test tube baby | 2 | 2 | 16 | 9 | 1.239×10-11 |
84 | Griddle and pond | 2 | 3 | 19 | 9 | 1.185×10-11 |
85 | Tub with long leg and ?-beacon | 2 | 2 | 15 | 9 | 1.131×10-11 |
86 | Cis-beacon up and beehive fuse longhook | 2 | 2 | 17 | 9 | 1.042×10-11 |
87 | R-loaf at R-loaf and beacon | 2 | 2 | 22 | 9.960×10-12 | |
88 | Bi-pentadecathlon 1 | 15 | 44.3 | 24 | 9.890×10-12 | |
89 | Griddle and cap | 2 | 3 | 19 | 9.811×10-12 | |
90 | xp2_ci9b8brzw103 | 2 | 3 | 20 | 9.513×10-12 | |
91 | xp2_ciab8brzw103 | 2 | 3 | 20 | 9.474×10-12 | |
92 | Racetrack and ?-beacon | 2 | 2 | 18 | 8.901×10-12 | |
93 | xp2_c8b8q4oz33x1 | 2 | 3 | 18 | 10 | 8.658×10-12 |
94 | Long hook on boat and cis-beacon-up | 2 | 2 | 19 | 8.540×10-12 | |
95 | xp3_g31u0oozd543 | 3 | 2 | 20 | 10 | 8.430×10-12 |
96 | Monoclaw test tube baby | 2 | 2 | 17 | 8 | 8.273×10-12 |
97 | xp2_c813z39d1e8 | 2 | 2 | 18 | 10 | 8.179×10-12 |
98 | xp2_c8b8acz0653 | 2 | 3 | 17 | 9 | 8.147×10-12 |
99 | xp2_0mlhewehrz32 | 2 | 2 | 23 | 8.100×10-12 |