Difference between revisions of "List of common oscillators"

From LifeWiki
Jump to navigation Jump to search
(Updating)
(updated synthesis costs)
(32 intermediate revisions by 3 users not shown)
Line 1: Line 1:
{{outdated}}
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 April 2020, 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.
This is a '''list of the most [[common]] [[oscillator]]s''' in the [[Conway's Game of Life|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 [[Catalogue]].


{| class="wikitable"
{| class="wikitable"
Line 9: 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]]
| [[:Category:Oscillators with period 2|2]]
| {{period|2|brief}}
| 4
| [[:Category:Oscillators with heat 4|4]]
| 3
| [[:Category:Oscillators with 3 cells|3]]
| {{gliders|2|brief}}
| 0.990
| 0.990
|-
|-
Line 21: Line 22:
| [[Toad]]
| [[Toad]]
| 2
| 2
| 8
| [[:Category:Oscillators with heat 8|8]]
| 6
| [[:Category:Oscillators with 6 cells|6]]
| {{gliders|3|brief}}
| 0.00755
| 0.00755
|-
|-
Line 28: Line 30:
| [[Beacon]]
| [[Beacon]]
| 2
| 2
| 2
| [[:Category:Oscillators with heat 2|2]]
| 6
| 6
| 3
| 0.00236
| 0.00236
|-
|-
! 4
! 4
| [[Pulsar]]
| [[Pulsar]]
| [[:Category:Oscillators with period 3|3]]
| {{period|3|brief}}
| 42.7
| [[:Category:Oscillators with heat 42|42.7]]
| 48
| [[:Category:Oscillators with 48 cells|48]]
| 3
| 0.000243
| 0.000243
|-
|-
! 5
! 5
| [[Pentadecathlon]]
| [[Pentadecathlon]]
| [[:Category:Oscillators with period 15|15]]
| {{period|15|brief}}
| 22.4
| [[:Category:Oscillators with heat 22|22.4]]
| 12
| [[:Category:Oscillators with 12 cells|12]]
| 3
| 0.00000262
| 0.00000262
|-
|-
Line 51: Line 56:
| 8
| 8
| 6
| 6
| {{gliders|4|brief}}
| 0.00000153
| 0.00000153
|-
|-
Line 57: Line 63:
| 2
| 2
| 4
| 4
| 8
| [[:Category:Oscillators with 8 cells|8]]
| {{gliders|5|brief}}
| 3.194&times;10<sup>-7</sup>
| 3.194&times;10<sup>-7</sup>
|-
|-
Line 64: Line 71:
| 2
| 2
| 8
| 8
| 10
| [[:Category:Oscillators with 10 cells|10]]
| 2.86&times;10<sup>-7</sup>
| 5
| 2.857&times;10<sup>-7</sup>
|-
|-
! 9
! 9
Line 71: Line 79:
| 2
| 2
| 2
| 2
| 18
| [[:Category:Oscillators with 18 cells|18]]
| 1.97&times;10<sup>-7</sup>
| 5
| 1.968&times;10<sup>-7</sup>
|-
|-
! 10
! 10
| [[Figure eight]]
| [[Figure eight]]
| [[:Category:Oscillators with period 8|8]]
| {{period|8|brief}}
| 16.5
| [[:Category:Oscillators with heat 16|16.5]]
| 12
| [[:Category:Oscillators with 12 cells|12]]
| 9.38&times;10<sup>-8</sup>
| 4
| 9.380&times;10<sup>-8</sup>
|-
|-
! 11
! 11
Line 86: Line 96:
| 2
| 2
| 18
| 18
| 6.44&times;10<sup>-8</sup>
| 4
| 6.438&times;10<sup>-8</sup>
|-
|-
! 12
! 12
| [[Mold]]
| [[Mold]]
| [[:Category:Oscillators with period 4|4]]
| {{period|4|brief}}
| 7
| [[:Category:Oscillators with heat 7|7]]
| 12
| 12
| 5
| 5.368&times;10<sup>-8</sup>
| 5.368&times;10<sup>-8</sup>
|-
|-
Line 99: Line 111:
| 2
| 2
| 8
| 8
| 16
| [[:Category:Oscillators with 16 cells|16]]
| {{gliders|7|brief}}
| 2.206&times;10<sup>-8</sup>
| 2.206&times;10<sup>-8</sup>
|-
|-
Line 105: Line 118:
| [[Tripole]]
| [[Tripole]]
| 2
| 2
| 6
| [[:Category:Oscillators with heat 6|6]]
| 9
| [[:Category:Oscillators with 9 cells|9]]
| {{gliders|6|brief}}
| 1.085&times;10<sup>-8</sup>
| 1.085&times;10<sup>-8</sup>
|-
|-
Line 112: Line 126:
| [[Mazing]]
| [[Mazing]]
| 4
| 4
| 14
| [[:Category:Oscillators with heat 14|14]]
| 12
| 12
| 5
| 1.022&times;10<sup>-8</sup>
| 1.022&times;10<sup>-8</sup>
|-
|-
Line 119: Line 134:
| [[Blocker]]
| [[Blocker]]
| 8
| 8
| 9
| [[:Category:Oscillators with heat 9|9]]
| 15
| [[:Category:Oscillators with 15 cells|15]]
| 5
| 7.125&times;10<sup>-9</sup>
| 7.125&times;10<sup>-9</sup>
|-
|-
Line 127: Line 143:
| 3
| 3
| 14.3
| 14.3
| 13
| [[:Category:Oscillators with 13 cells|13]]
| 6
| 5.391&times;10<sup>-9</sup>
| 5.391&times;10<sup>-9</sup>
|-
|-
! 18
! 18
| [[Trans-queen bee shuttle]]
| [[Trans-queen bee shuttle]]
| [[:Category:Oscillators with period 30|30]]
| {{period|30|brief}}
| 17.9
| [[:Category:Oscillators with heat 17|17.9]]
| 20
| [[:Category:Oscillators with 20 cells|20]]
| 6
| 3.089&times;10<sup>-9</sup>
| 3.089&times;10<sup>-9</sup>
|-
|-
Line 142: Line 160:
| 17.9
| 17.9
| 20
| 20
| 6
| 3.027&times;10<sup>-9</sup>
| 3.027&times;10<sup>-9</sup>
|-
|-
Line 149: Line 168:
| 2
| 2
| 12
| 12
| 5
| 2.562&times;10<sup>-9</sup>
| 2.562&times;10<sup>-9</sup>
|-
|-
Line 156: Line 176:
| 2
| 2
| 12
| 12
| 6
| 2.519&times;10<sup>-9</sup>
| 2.519&times;10<sup>-9</sup>
|-
|-
Line 163: Line 184:
| 2
| 2
| 16
| 16
| 4
| 2.398&times;10<sup>-9</sup>
| 2.398&times;10<sup>-9</sup>
|-
|-
Line 169: Line 191:
| 4
| 4
| 4
| 4
| 40
| [[:Category:Oscillators with 40 cells|40]]
| 6
| 1.936&times;10<sup>-9</sup>
| 1.936&times;10<sup>-9</sup>
|-
|-
Line 176: Line 199:
| 2
| 2
| 2
| 2
| 14
| [[:Category:Oscillators with 14 cells|14]]
| 2&times;10<sup>-9</sup>
| 6
| 2.000&times;10<sup>-9</sup>
|-
|-
! 25
! 25
Line 183: Line 207:
| 2
| 2
| 2
| 2
| 19
| [[:Category:Oscillators with 19 cells|19]]
| 6
| 1.868&times;10<sup>-9</sup>
| 1.868&times;10<sup>-9</sup>
|-
|-
! 26
! 26
| [[Octagon 2]]
| [[Octagon 2]]
| [[:Category:Oscillators with period 5|5]]
| {{period|5|brief}}
| 16
| 16
| 16
| 16
| 6
| 1.609&times;10<sup>-9</sup>
| 1.609&times;10<sup>-9</sup>
|-
|-
! 27
! 27
| [[Unix]]
| [[Unix]]
| [[:Category:Oscillators with period 6|6]]
| {{period|6|brief}}
| 11.3
| [[:Category:Oscillators with heat 11|11.3]]
| 16
| 16
| 5
| 1.589&times;10<sup>-9</sup>
| 1.589&times;10<sup>-9</sup>
|-
|-
! 28
! 28
| [[1 beacon]]
| 2
| 2
| 18
| 7
| 1.554&times;10<sup>-9</sup>
|-
! 29
| [[Tub test tube baby]]
| [[Tub test tube baby]]
| 2
| 2
| 2
| 2
| 16
| 16
| 6
| 1.457&times;10<sup>-9</sup>
| 1.457&times;10<sup>-9</sup>
|-
|-
! 29
! 30
| [[Trans-beacon on dock]]
| [[Trans-beacon on dock]]
| 2
| 2
| 2
| 2
| 16
| 16
| 5
| 1.101&times;10<sup>-9</sup>
| 1.101&times;10<sup>-9</sup>
|-
|-
! 30
! 31
| [[Tumbler]]
| [[Tumbler]]
| [[:Category:Oscillators with period 14|14]]
| {{period|14|brief}}
| 10.3
| [[:Category:Oscillators with heat 10|10.3]]
| 16
| 16
| 5
| 1.052&times;10<sup>-9</sup>
| 1.052&times;10<sup>-9</sup>
|-
|-
! 31
! 32
| [[Block on griddle]]
| 2
| 6
| 15
| 6
| 9.899&times;10<sup>-10</sup>
|-
! 33
| [[Fore and back]]
| 2
| 4
| [[:Category:Oscillators with 24 cells|24]]
| 6
| 6.752&times;10<sup>-10</sup>
|-
! 34
| [[Cis-beacon up on long hook]]
| [[Cis-beacon up on long hook]]
| 2
| 2
| 2
| 2
| 14
| 14
| 1.02&times;10<sup>-9</sup>
| 6
| 6.449&times;10<sup>-10</sup>
|-
|-
! rowspan="2" | 32
! 35
| [[1 beacon]]
| [[Cis-beacon on cap]]
| 2
| 2
| 2
| 2
| 18
| 14
| 8.99&times;10<sup>-10</sup>
| 6
| 5.965&times;10<sup>-10</sup>
|-
|-
| [[Cis-beacon on cap]]
! 36
| [[Cis-beacon down on long hook]]
| 2
| 2
| 2
| 2
| 14
| 14
| 8.99&times;10<sup>-10</sup>
| 6
| 5.341&times;10<sup>-10</sup>
|-
|-
! 34
! 37
| [[Trans-block on long hook eating tub]]
| 3
| 6
| 16
| {{gliders|9|brief}}
| 5.341&times;10<sup>-10</sup>
|-
! 38
| [[20P2]]
| [[20P2]]
| 2
| 2
| 2
| 2
| 21
| [[:Category:Oscillators with 21 cells|21]]
| 8.39&times;10<sup>-10</sup>
| 6
| 4.333&times;10<sup>-10</sup>
|-
|-
! 35
! 39
| [[Cis-beacon down on long hook]]
| [[Trans-beacon down on long hook]]
| 2
| 2
| 2
| 2
| 14
| 14
| 7.79&times;10<sup>-10</sup>
| 6
| 2.644&times;10<sup>-10</sup>
|-
|-
! rowspan="2" | 36
! 40
| [[Block on griddle]]
| [[Caterer]]
| 3
| 14.7
| 12
| 7
| 2.503&times;10<sup>-10</sup>
|-
! 41
| [[Coe's p8]]
| 8
| [[:Category:Oscillators with heat 12|12.5]]
| [[:Category:Oscillators with 17 cells|17]]
| 5
| 2.327&times;10<sup>-10</sup>
|-
! 42
| [[Trans-beacon on cap]]
| 2
| 2
| 2
| 6
| 14
| 15
| {{gliders|8|brief}}
| 4.19&times;10<sup>-10</sup>
| 2.037&times;10<sup>-10</sup>
|-
|-
| [[Boat on spark coil]]
! 43
| [[21P2]]
| 2
| 2
| 2
| 2
| 23
| 16
| 4.19&times;10<sup>-10</sup>
| 8
| 1.772&times;10<sup>-10</sup>
|-
|-
! rowspan="2" | 38
! 44
| [[Fore and back]]
| [[Beehive on griddle]]
| 2
| 2
| 4
| 6
| 24
| 17
| 3.60&times;10<sup>-10</sup>
| 8
| 1.760&times;10<sup>-10</sup>
|-
|-
| [[21P2]]
! 45
| [[Boat on spark coil]]
| 2
| 2
| 2
| 2
| 16
| [[:Category:Oscillators with 23 cells|23]]
| 3.60&times;10<sup>-10</sup>
| 5
| 1.719&times;10<sup>-10</sup>
|-
|-
! rowspan="2" | 40
! 46
| [[Trans-block on long hook eating tub]]
| [[Candlefrobra]]
| 3
| 3
| 6
| 6
| 16
| 16
| 3.00&times;10<sup>-10</sup>
| 7
| 1.678&times;10<sup>-10</sup>
|-
|-
| [[Trans-beacon down on long hook]]
! 47
| [[22P2]]
| 2
| 2
| 2
| 2
| 14
| 20
| 3.00&times;10<sup>-10</sup>
| 5
| 1.651&times;10<sup>-10</sup>
|-
|-
! rowspan="2" | 42
! 48
| [[Caterer]]
| [[Trans-beacon up on long hook]]
| 3
| 2
| 14.7
| 12
| 2.40&times;10<sup>-10</sup>
|-
| [[Beehive on griddle]]
| 2
| 2
| 14
| 6
| 6
| 17
| 1.592&times;10<sup>-10</sup>
| 2.40&times;10<sup>-10</sup>
|-
|-
! rowspan="6" | 44
! 49
| [[Bipole on ship]]
| [[Bipole on ship]]
| 2
| 2
| 4
| 4
| 14
| 14
| 1.80&times;10<sup>-10</sup>
| 8
| 1.386&times;10<sup>-10</sup>
|-
|-
! 50
| [[Bipole on boat]]
| 2
| 4
| 13
| 8
| 1.265&times;10<sup>-10</sup>
|-
! 51
| [[Boat on griddle]]
| 2
| 6
| 16
| 9
| 9.114&times;10<sup>-11</sup>
|-
! 52
| [[Boat on quadpole]]
| [[Boat on quadpole]]
| 2
| 2
| 8
| 8
| 15
| 15
| 1.80&times;10<sup>-10</sup>
| 7
| 8.759&times;10<sup>-11</sup>
|-
|-
| [[Candlefrobra]]
! 53
| 3
| [[Four boats]]
| 2
| 4
| 16
| 6
| 8.731&times;10<sup>-11</sup>
|-
! 54
| {{LinkCatagolue|xp2_gbhewehrz01|patternname=Monotub spark coil|style=raw}}
| 2
| 2
| 19
| 6
| 6
| 16
| 6.595&times;10<sup>-11</sup>
| 1.80&times;10<sup>-10</sup>
|-
! 55
| {{LinkCatagolue|xp2_og2t1e8z6221|style=raw}}
| 2
| 2
| 18
| 7
| 6.473&times;10<sup>-11</sup>
|-
! 56
| [[xp2_caabaiczw32]]
| 2
| 2
| 18
| 9
| 6.073&times;10<sup>-11</sup>
|-
|-
| [[Coe's p8]]
! 57
| [[Eater plug]]
| 2
| 2
| 14
| 8
| 8
| 12.5
| 5.814&times;10<sup>-11</sup>
|-
! 58
| [[23P2]]
| 2
| 2
| 17
| 17
| 1.80&times;10<sup>-10</sup>
| {{gliders|10|brief}}
| 5.727&times;10<sup>-11</sup>
|-
|-
| [[22P2]]
! 59
| [[Odd test tube baby]]
| 2
| 2
| 15
| 7
| 5.648&times;10<sup>-11</sup>
|-
! 60
| {{LinkCatagolue|xp2_mlhewehrz1|patternname=G and spark coil|style=raw}}
| 2
| 2
| 21
| 9
| 5.061&times;10<sup>-11</sup>
|-
! 61
| [[26P2]]
| 2
| 2
| 2
| 2
| 20
| 20
| 1.80&times;10<sup>-10</sup>
| 9
| 4.651&times;10<sup>-11</sup>
|-
! 62
| [[Beehive on long hook eating tub]]
| 3
| 6
| 18
| 9
| 4.028&times;10<sup>-11</sup>
|-
|-
| [[23P2]]
! 63
| {{LinkCatagolue|xp2_33gv1og26|patternname=Z and cis-beacon and block|style=raw}}
| 2
| 2
| 2
| 2
| 17
| 17
| 1.80&times;10<sup>-10</sup>
| {{gliders|12|brief}}
| 3.837&times;10<sup>-11</sup>
|-
|-
! rowspan="11" | 50
! 64
| [[Beacon and two tails]]
| [[Beacon and two tails]]
| 2
| 2
| 2
| 2
| 14
| 14
| 1.20&times;10<sup>-10</sup>
| 9
| 3.475&times;10<sup>-11</sup>
|-
|-
| [[Beehive on long hook eating tub]]
! 65
| [[Blocks on griddle]]
| 2
| 6
| 19
| 5
| 2.762&times;10<sup>-11</sup>
|-
! 66
| {{LinkCatagolue|xp3_6a889b8ozx33|style=raw}}
| 3
| 3
| 6
| 2
| 18
| 18
| 1.20&times;10<sup>-10</sup>
| 7
| 2.676&times;10<sup>-11</sup>
|-
|-
! 67
| [[Cis-boat on long hook eating tub]]
| [[Cis-boat on long hook eating tub]]
| 3
| 3
| 6
| 6
| 17
| 17
| 1.20&times;10<sup>-10</sup>
| 9
| 2.400&times;10<sup>-11</sup>
|-
! 68
| [[24P2]]
| 2
| 2
| 18
| 12
| 2.375&times;10<sup>-11</sup>
|-
! 69
| {{LinkCatagolue|xp2_0318cz259d1d96|style=raw}}
| 2
| 2
| 22
| 6
| 2.368&times;10<sup>-11</sup>
|-
! 70
| {{LinkCatagolue|xp2_gk2t2sgzw23|style=raw}}
| 2
| [[:Category:Oscillators with heat 3|3]]
| 16
| 9
| 2.275&times;10<sup>-11</sup>
|-
! 71
| [[Griddle and table]]
| 2
| 6
| 17
| {{gliders|11|brief}}
| 2.264&times;10<sup>-11</sup>
|-
! 72
| [[Racetrack and ortho-beacon]]
| 2
| 2
| 18
| 9
| 2.201&times;10<sup>-11</sup>
|-
! 73
| {{LinkCatagolue|xp2_31agozca22ac|patternname=Cis-bipole and dock|style=raw}}
| 2
| 2
| 18
| 9
| 2.117&times;10<sup>-11</sup>
|-
! 74
| [[Fox]]
| 2
| [[:Category:Oscillators with heat 18|18]]
| 12
| 7
| 2.075&times;10<sup>-11</sup>
|-
! 75
| [[Fumarole]]
| 5
| 12.8
| 18
| 7
| 1.797&times;10<sup>-11</sup>
|-
! 76
| {{LinkCatagolue|xp2_0318cz69d552|style=raw}}
| 2
| 2
| 18
| 8
| 1.586&times;10<sup>-11</sup>
|-
! 77
| [[Beehive test tube baby]]
| 2
| 2
| 17
| 9
| 1.466&times;10<sup>-11</sup>
|-
! rowspan= "2"|78
| {{LinkCatagolue|xp2_gwci96zh15dz11|style=raw}}
| 2
| 2
| 19
|
| 1.421&times;10<sup>-11</sup>
|-
|-
| [[Eater plug]]
| {{LinkCatagolue|xp2_og2t1acz6221|style=raw}}
| 2
| 2
| 2
| 2
| 14
| 18
| 1.20&times;10<sup>-10</sup>
| 8
| 1.421&times;10<sup>-11</sup>
|-
! 80
| {{LinkCatagolue|xp3_2530fh884a4|patternname=Candlefrobra on cis-boat-up|style=raw}}
| 3
| 6
| 17
| 10
| 1.405&times;10<sup>-11</sup>
|-
! 81
| {{LinkCatagolue|xp2_04a96z31d153|patternname=Loaf on griddle|style=raw}}
| 2
| 3
| 18
| 9
| 1.323&times;10<sup>-11</sup>
|-
|-
| [[Boat on griddle]]
! 82
| {{LinkCatagolue|xp2_03lkmzojc0cjo|patternname=Lightbulb and cis-hook|style=raw}}
| 2
| 2
| 3
| 24
| 6
| 6
| 1.256&times;10<sup>-11</sup>
|-
! 83
| [[Boat test tube baby]]
| 2
| 2
| 16
| 16
| 1.20&times;10<sup>-10</sup>
| 9
| 1.239&times;10<sup>-11</sup>
|-
|-
| [[Odd test tube baby]]
! 84
| {{LinkCatagolue|xp2_06996z31d153|patternname=Griddle and pond|style=raw}}
| 2
| 3
| 19
| 9
| 1.185&times;10<sup>-11</sup>
|-
! 85
| {{LinkCatagolue|xp2_c813z3115a4|patternname=Tub with long leg and ?-beacon|style=raw}}
| 2
| 2
| 2
| 2
| 15
| 15
| 1.20&times;10<sup>-10</sup>
| 9
| 1.131&times;10<sup>-11</sup>
|-
|-
| [[Trans-beacon on cap]]
! 86
| {{LinkCatagolue|xp2_c813z311dic|patternname=Cis-beacon up and beehive fuse longhook|style=raw}}
| 2
| 2
| 17
| 9
| 1.042&times;10<sup>-11</sup>
|-
! 87
| {{LinkCatagolue|xp2_318c0s48gzw359611|patternname=R-loaf at R-loaf and beacon|style=raw}}
| 2
| 2
| 2
| 2
| 14
| 22
| 1.20&times;10<sup>-10</sup>
|
| 9.960&times;10<sup>-12</sup>
|-
! 88
| {{LinkCatagolue|xp15_4r4y14r4z4r4y14r4|patternname=Bi-pentadecathlon 1|style=raw}}
| 15
| [[:Category:Oscillators with heat 44|44.3]]
| 24
| 7
| 9.890&times;10<sup>-12</sup>
|-
! 89
| {{LinkCatagolue|xp2_c8b8acz3553|patternname=Griddle and cap|style=raw}}
| 2
| 3
| 19
| 11
| 9.811&times;10<sup>-12</sup>
|-
|-
| [[Trans-beacon up on long hook]]
! 90
| {{LinkCatagolue|xp2_ci9b8brzw103|style=raw}}
| 2
| 2
| 3
| 20
|
| 9.513&times;10<sup>-12</sup>
|-
! 91
| {{LinkCatagolue|xp2_ciab8brzw103|style=raw}}
| 2
| 2
| 14
| 3
| 1.20&times;10<sup>-10</sup>
| 20
|
| 9.474&times;10<sup>-12</sup>
|-
|-
| [[24P2]]
! 92
| {{LinkCatagolue|xp2_0318cz255d96|patternname=Racetrack and ?-beacon|style=raw}}
| 2
| 2
| 2
| 2
| 18
| 18
| 1.20&times;10<sup>-10</sup>
|
| 8.901&times;10<sup>-12</sup>
|-
! 93
| {{LinkCatagolue|xp2_c8b8q4oz33x1|style=raw}}
| 2
| 3
| 18
| 10
| 8.658&times;10<sup>-12</sup>
|-
|-
| [[18P2.471]]
! 94
| {{LinkCatagolue|xp2_xohf0318cz253|patternname=Long hook on boat and cis-beacon-up|style=raw}}
| 2
| 2
| 19
|
| 8.540&times;10<sup>-12</sup>
|-
! 95
| {{LinkCatagolue|xp3_g31u0oozd543|style=raw}}
| 3
| 2
| 20
| 10
| 8.430&times;10<sup>-12</sup>
|-
! 96
| [[Monoclaw test tube baby]]
| 2
| 2
| 17
| 8
| 8.273&times;10<sup>-12</sup>
|-
! 97
| {{LinkCatagolue|xp2_c813z39d1e8|style=raw}}
| 2
| 2
| 2
| 2
| 18
| 18
| 1.20&times;10<sup>-10</sup>
| 10
| 8.179&times;10<sup>-12</sup>
|-
! 98
| {{LinkCatagolue|xp2_c8b8acz0653|style=raw}}
| 2
| 3
| 17
| 9
| 8.147&times;10<sup>-12</sup>
|-
|-
| [[26P2]]
! 99
| {{LinkCatagolue|xp2_0mlhewehrz32|style=raw}}
| 2
| 2
| 2
| 2
| 20
| 23
| 1.20&times;10<sup>-10</sup>
|
| 8.100&times;10<sup>-12</sup>
|-
|}
|}


Line 417: Line 809:
*[[List of common still lifes]]
*[[List of common still lifes]]
*[[List of common spaceships]]
*[[List of common spaceships]]
*[[List of common oscillators in HighLife]]


[[Category:Lists of patterns]]
[[Category:Lists of patterns]]

Revision as of 14:20, 14 April 2020

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 April 2020, 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 5 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 4 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 5 1.101×10-9
31 Tumbler 14 10.3 16 5 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 6 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 9 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 8 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 8 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 6 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 7 9.890×10-12
89 Griddle and cap 2 3 19 11 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

See also