List of common evolutionary sequences: Difference between revisions

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! Sequence  !! Pattern !! Lifespan{{refn|group=note|Lifespan is measured from its canonical initial form, not from the form in the generated list.}} !! Occurrences !! [[Relative frequency]]
! Sequence  !! Pattern !! Lifespan{{refn|group=note|Lifespan is measured from its canonical initial form, not from the form in the generated list.}} !! Occurrences !! [[Relative frequency]]
|-
|-
| [[Honey farm]] predecessor{{br}}([[bun]] shown) ||{{EmbedViewer|pname = bun|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 17 || 617733{{refn|group=note|Another honey farm predecessor is listed separately with 7167 occurrences. If included, the total would be 624900.}} || 1.000
| [[Honey farm]] predecessor{{br}}([[bun]] shown) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:bun}}
}}|| 17 || 617733{{refn|group=note|Another honey farm predecessor is listed separately with 7167 occurrences. If included, the total would be 624900.}} || 1.000
|-
|-
| [[R-pentomino]] ||{{EmbedViewer|pname = rpentomino|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 1103 || 531779 || 0.861
| [[R-pentomino]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:rpentomino}}
}}|| 1103 || 531779 || 0.861
|-
|-
| [[Pi-heptomino]] ||{{EmbedViewer|pname = piheptomino|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 173 || 471544 || 0.763
| [[Pi-heptomino]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:piheptomino}}
}}|| 173 || 471544 || 0.763
|-
|-
| [[Lumps of muck]] ||{{EmbedViewer|pname = stairstephexomino|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 63 || 310237 || 0.502
| [[Lumps of muck]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:stairstephexomino}}
}}|| 63 || 310237 || 0.502
|-
|-
| [[Century]] ||{{EmbedViewer|pname = century|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 103 || 266004{{refn|group=note|A predecessor of a first cousin of the century is listed separately with 6060 occurrences. If included, the total would be 272064.}} || 0.430
| [[Century]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:century}}
}}|| 103 || 266004{{refn|group=note|A predecessor of a first cousin of the century is listed separately with 6060 occurrences. If included, the total would be 272064.}} || 0.430
|-
|-
| [[B-heptomino]] ||{{EmbedViewer|pname = bheptomino|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 148 || 244984{{refn|group=note|A Herschel and a block with the same relative position as from a B-heptomino are listed separately with 121316 occurrences. If included, the total would be 366300, which would put the B-heptomino in 5th place. In addition, a predecessor of a B-heptaplet (which is included in the B section in the RLE of two-glider collisions) is listed separately with 11287 occurrences. If also included, the total would be 377587 occurrences.}} || 0.397
| [[B-heptomino]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:bheptomino}}
}}|| 148 || 244984{{refn|group=note|A Herschel and a block with the same relative position as from a B-heptomino are listed separately with 121316 occurrences. If included, the total would be 366300, which would put the B-heptomino in 5th place. In addition, a predecessor of a B-heptaplet (which is included in the B section in the RLE of two-glider collisions) is listed separately with 11287 occurrences. If also included, the total would be 377587 occurrences.}} || 0.397
|-
|-
| [[Wing]] ||{{EmbedViewer|pname = wing|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 104 || 133659 || 0.216
| [[Wing]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:wing}}
}}|| 104 || 133659 || 0.216
|-
|-
| [[Herschel]] with block{{br}}([[B-heptomino]] descendant) ||{{EmbedViewer|pname = herschelwithblock|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 128 || 121316 || 0.196
| [[Herschel]] with block{{br}}([[B-heptomino]] descendant) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:herschelwithblock}}
}}|| 128 || 121316 || 0.196
|-
|-
| [[Teardrop]] ||{{EmbedViewer|pname = teardrop|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 20 || 64485 || 0.104
| [[Teardrop]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:teardrop}}
}}|| 20 || 64485 || 0.104
|-
|-
| [[I-heptomino]] ||{{EmbedViewer|pname = iheptomino|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 247 || 53177 || 0.086
| [[I-heptomino]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:iheptomino}}
}}|| 247 || 53177 || 0.086
|-
|-
| [[Two-glider octomino]] ||{{EmbedViewer|pname = 2glideroctomino|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 385 || 50178 || 0.081
| [[Two-glider octomino]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:2glideroctomino}}
}}|| 385 || 50178 || 0.081
|-
|-
| Long bun (object hassled in [[Jason's p33]]) ||{{EmbedViewer|pname = objecthasseledinjasonsp33|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 53 || 48239 || 0.078
| Long bun (object hassled in [[Jason's p33]]) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:objecthasseledinjasonsp33}}
}}|| 53 || 48239 || 0.078
|-
|-
| [[Procrastinator]] <ref>{{CiteLifeline|vol=4|pages=page 4}}</ref><ref name="post108791" /> ||{{EmbedViewer|pname = procrastinator|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 73 || 46879 || 0.076
| [[Procrastinator]] <ref>{{CiteLifeline|vol=4|pages=page 4}}</ref><ref name="post108791" /> ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:procrastinator}}
}}|| 73 || 46879 || 0.076
|-
|-
| [[Blonk-tie]] ||{{EmbedViewer|pname = blonktie|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 552 || 38554 || 0.062
| [[Blonk-tie]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:blonktie}}
}}|| 552 || 38554 || 0.062
|-
|-
| Unnamed{{br}}(active reaction from the beginning of [[Iwona]]) ||{{EmbedViewer|pname = iwonaactiveregion|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 238 || 37747 || 0.061
| Unnamed{{br}}(active reaction from the beginning of [[Iwona]]) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:iwonaactiveregion}}
}}|| 238 || 37747 || 0.061
|-
|-
| [[U-turner]]<ref name="post129564" /> ||{{EmbedViewer|pname = uturner|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 163 || 29273{{refn|group=note|Another predecessor is listed separately later in this list with 12200 occurrences. If included, the total would be 41473, putting it in 14th place. In addition, the object with 16361 occurrences creates a temporary one before quickly crashing into a beehive.}} || 0.047
| [[U-turner]]<ref name="post129564" /> ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:uturner}}
}}|| 163 || 29273{{refn|group=note|Another predecessor is listed separately later in this list with 12200 occurrences. If included, the total would be 41473, putting it in 14th place. In addition, the object with 16361 occurrences creates a temporary one before quickly crashing into a beehive.}} || 0.047
|-
|-
| [[Herschel descendant]] hassled in [[period-184 glider gun]],{{br}}H' (without its [[first natural glider]]) ||{{EmbedViewer|pname = herschelprime |viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 106 || 29196 || 0.047
| [[Herschel descendant]] hassled in [[period-184 glider gun]],{{br}}H' (without its [[first natural glider]]) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:herschelprime}}
}}|| 106 || 29196 || 0.047
|-
|-
| R-turner (name unofficial<ref name="post132936" />) ||{{EmbedViewer|pname = rturner |viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 268 || 28314 || 0.046
| R-turner (name unofficial<ref name="post132936" />) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:rturner}}
}}|| 268 || 28314 || 0.046
|-
|-
| Original [[diehard]] ||{{EmbedViewer|pname = diehard|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 130 || 27077 || 0.044
| Original [[diehard]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:diehard}}
}}|| 130 || 27077 || 0.044
|-
|-
| Object hassled in [[Jason's p22]] ||{{EmbedViewer|pname = objecthasseledinjasonsp22|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 65 || 25303 || 0.041
| Object hassled in [[Jason's p22]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:objecthasseledinjasonsp22}}
}}|| 65 || 25303 || 0.041
|-
|-
| Traffic light hitting block{{br}}(creating block and blinker) ||{{EmbedViewer|pname = trafficlighthitsblock|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 47 || 24725 || 0.040
| Traffic light hitting block{{br}}(creating block and blinker) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:trafficlighthitsblock}}
}}|| 47 || 24725 || 0.040
|-
|-
| [[Dove]] ||{{EmbedViewer|pname = dove|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 200 || 23603 || 0.038
| [[Dove]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:dove}}
}}|| 200 || 23603 || 0.038
|-
|-
| Unnamed (soon evolves into a pi and loaf){{br}}(evolves from o3bo$ob3o$6bo) ||{{EmbedViewer|pname = objectevolvesintopiandloaf|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 354 || 22654 || 0.0367
| Unnamed (soon evolves into a pi and loaf){{br}}(evolves from {{headerlessRLE|o3bo$ob3o$6bo}}) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:objectevolvesintopiandloaf}}
}}|| 354 || 22654 || 0.0367
|-
|-
| [[Herschel]] (by itself) ||{{EmbedViewer|pname = herschel|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 128 || 21929{{refn|group=note|A descendant is listed separately with 7533 occurrences. If included, the total would be 29462, which would put the Herschel in 16th place.}} || 0.0355
| [[Herschel]] (by itself) ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:herschel}}
}}|| 128 || 21929{{refn|group=note|A descendant is listed separately with 7533 occurrences. If included, the total would be 29462, which would put the Herschel in 16th place.}} || 0.0355
|-
|-
| [[Butterfly]] ||{{EmbedViewer|pname = butterfly|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 33 || 18593 || 0.0301
| [[Butterfly]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:butterfly}}
}}|| 33 || 18593 || 0.0301
|-
|-
| [[Octomino II]] ||{{EmbedViewer|pname = octominoii|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 116 || 18507{{refn|group=note|A descendant is listed separately with 14689 occurrences. If included, the total would be 33196, which would put the Octomino II in 16th place.}} || 0.0300
| [[Octomino II]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:octominoii}}
}}|| 116 || 18507{{refn|group=note|A descendant is listed separately with 14689 occurrences. If included, the total would be 33196, which would put the Octomino II in 16th place.}} || 0.0300
|-
|-
| Traffic light hitting block, leaving single beehive ||{{EmbedViewer|pname = trafficlighthitsblock2|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 69 || 17795 || 0.0289
| Traffic light hitting block, leaving single beehive ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:trafficlighthitsblock2}}
}}|| 69 || 17795 || 0.0289
|-
|-
| Traffic light hitting block, leaving two blinkers ||{{EmbedViewer|pname = trafficlighthitsblock3|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 36 || 17656 || 0.0286
| Traffic light hitting block, leaving two blinkers ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:trafficlighthitsblock3}}
}}|| 36 || 17656 || 0.0286
|-
|-
| Object hassled in [[Karel's p177]] ||{{EmbedViewer|pname = objecthassledinkarelsp177|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 153 || 17620 || 0.0285
| Object hassled in [[Karel's p177]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:objecthassledinkarelsp177}}
}}|| 153 || 17620 || 0.0285
|-
|-
| Unnamed, dies out ||{{EmbedViewer|pname = commonsmallunnamedobjectdiesout1|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 18 || 17007 || 0.0275
| Unnamed, dies out ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commonsmallunnamedobjectdiesout1}}
}}|| 18 || 17007 || 0.0275
|-
|-
| Object hassled in [[Merzenich's p64]] ||{{EmbedViewer|pname = objecthassledinmerzenichsp64|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 34 || 16764 || 0.0271
| Object hassled in [[Merzenich's p64]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:objecthassledinmerzenichsp64}}
}}|| 34 || 16764 || 0.0271
|-
|-
| Unnamed, evolves to 7 blinkers ||{{EmbedViewer|pname = sevenblinkers|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 45 || 16695 || 0.0270
| Unnamed, evolves to 7 blinkers ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:sevenblinkers}}
}}|| 45 || 16695 || 0.0270
|-
|-
| Traffic light hitting block ||{{EmbedViewer|pname = trafficlighthitsblock4|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 173 || 16414 || 0.0266
| Traffic light hitting block ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:trafficlighthitsblock4}}
}}|| 173 || 16414 || 0.0266
|-
|-
| A single unit in the [[3c/7 wave]], dies out{{br}}(evolves into [[U-turner]] descendent and a beehive)||{{EmbedViewer|pname = commonsmallunnamedobjectdiesout2|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 27 || 16361 || 0.0265
| A single unit in the [[3c/7 wave]], dies out{{br}}(evolves into [[U-turner]] descendent and a beehive)||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commonsmallunnamedobjectdiesout2}}
}}|| 27 || 16361 || 0.0265
|-
|-
| Traffic light hitting block ||{{EmbedViewer|pname = trafficlighthitsblock5|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 211 || 15854 || 0.0257
| Traffic light hitting block ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:trafficlighthitsblock5}}
}}|| 211 || 15854 || 0.0257
|-
|-
| Clean [[bi-block]] predecessor ||{{EmbedViewer|pname = commoncleanbiblockpredecessor|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 44 || 15621 || 0.0253
| Clean [[bi-block]] predecessor ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commoncleanbiblockpredecessor}}
}}|| 44 || 15621 || 0.0253
|-
|-
| Traffic light hitting block ||{{EmbedViewer|pname = trafficlighthitsblock6|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 22 || 15505 || 0.0251
| Traffic light hitting block ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:trafficlighthitsblock6}}
}}|| 22 || 15505 || 0.0251
|-
|-
| Lumps of muck hitting block ||{{EmbedViewer|pname = lumpsofmuckhitsblock|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 83 || 15475 || 0.0251
| Lumps of muck hitting block ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:lumpsofmuckhitsblock}}
}}|| 83 || 15475 || 0.0251
|-
|-
| Intermediate generation of [[octomino II]] ||{{EmbedViewer|pname = octominoiiintermidategeneration|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 94 || 14689 || 0.0251
| Intermediate generation of [[octomino II]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:octominoiiintermidategeneration}}
}}|| 94 || 14689 || 0.0251
|-
|-
| Unnamed six-cell pattern listed as 5.s.1<ref>{{CiteLifeline|vol=4|pages=page 10}}</ref> ||{{EmbedViewer|pname = commonsmallunnamedobject1|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 49 || 14585 || 0.0236
| Unnamed six-cell pattern listed as 5.s.1<ref>{{CiteLifeline|vol=4|pages=page 10}}</ref> ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commonsmallunnamedobject1}}
}}|| 49 || 14585 || 0.0236
|-
|-
| Unnamed beehive edge-shooter{{refn|group=note|This pattern is more common without the blinker, but such pattern doesn't get large enough to qualify for the list.}} ||{{EmbedViewer|pname = beehiveedgeshooter|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 61 || 14525 || 0.0235
| Unnamed beehive edge-shooter{{refn|group=note|This pattern is more common without the blinker, but such pattern doesn't get large enough to qualify for the list.}} ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:beehiveedgeshooter}}
}}|| 61 || 14525 || 0.0235
|-
|-
| Unnamed, dies out<!--mvr names it "flare"--> ||{{EmbedViewer|pname  = commonsmallunnamedobjectdiesout3|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 49 || 14509 || 0.0235
| Unnamed, dies out<!--mvr names it "flare"--> ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commonsmallunnamedobjectdiesout3}}
}}|| 49 || 14509 || 0.0235
|-
|-
| Unnamed<!--mvr names it "flop"--> ||{{EmbedViewer|pname = commonsmallunnamedobject2|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 17 || 13997 || 0.0227
| Unnamed<!--mvr names it "flop"--> ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commonsmallunnamedobject2}}
}}|| 17 || 13997 || 0.0227
|-
|-
| Unnamed methuselah making{{br}}procrastinator and beehive ||{{EmbedViewer|pname = commonsmallmethuselahmakesprocrastinatorandbeehive|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 1675 || 13661 || 0.0221
| Unnamed methuselah making{{br}}procrastinator and beehive ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
{{RLE:commonsmallmethuselahmakesprocrastinatorandbeehive}}
}}|| 1675 || 13661 || 0.0221
|-
|-
| Active reaction in [[cis-beacon on anvil]] predecessor ||{{EmbedViewer|rle = 3b2o$4bo$4bo$3bo$3o!
| Active reaction in [[cis-beacon on anvil]] predecessor ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 320 || 13484 || 0.0218
3b2o$4bo$4bo$3bo$3o!
}}|| 320 || 13484 || 0.0218
|-
|-
| Unnamed; pi-heptomino hitting boat{{refn|group=note|This can be turned into a glider almost immediately by placing a tub that interacts with the line of three in generation 2.}} ||{{EmbedViewer|rle = b3o$o2bo$o$o$bo!
| Unnamed; pi-heptomino hitting boat{{refn|group=note|This can be turned into a glider almost immediately by placing a tub that interacts with the line of three in generation 2.}} ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 124 || 12411 || 0.0201
b3o$o2bo$o$o$bo!
}}|| 124 || 12411 || 0.0201
|-
|-
| U-turner 30-generation predecessor ||{{EmbedViewer|rle = b3o2$4bo$o$b3o!
| U-turner 30-generation predecessor ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 193 || 12200 || 0.0197
b3o2$4bo$o$b3o!
}}|| 193 || 12200 || 0.0197
|-
|-
| Unnamed ||{{EmbedViewer|rle = bo$2ob2o$bo$2bobo$3bo!
| Unnamed ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 62 || 11929 || 0.0193
bo$2ob2o$bo$2bobo$3bo!
}}|| 62 || 11929 || 0.0193
|-
|-
| [[AK-47]] reaction ||{{EmbedViewer|rle = 2o$obo$obo$bo3b2o$5b2o!
| [[AK-47]] reaction ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 252 || 11426 || 0.0185
2o$obo$obo$bo3b2o$5b2o!
}}|| 252 || 11426 || 0.0185
|-
|-
| [[B-heptomino]] predecessor ||{{EmbedViewer|rle = 3o$o2bo$o3bo$bobo!
| [[B-heptomino]] predecessor ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 155 || 11287 || 0.0183
3o$o2bo$o3bo$bobo!
}}|| 155 || 11287 || 0.0183
|-
|-
| Late generation of original [[diehard]] ||{{EmbedViewer|rle = 3b2o$o$bo2bo$b3o!
| Late generation of original [[diehard]] ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 57 || 11197 || 0.0181
3b2o$o$bo2bo$b3o!
}}|| 57 || 11197 || 0.0181
|-
|-
| Pi + block{{refn|group=note|This pi + block is much more common than other pi + block combinations, but since it has several common predecssors, a single ancestor can't be chosen.}} ||{{EmbedViewer|rle = 4b3o$2o4bo$2o2b3o!
| Pi + block{{refn|group=note|This pi + block is much more common than other pi + block combinations, but since it has several common predecssors, a single ancestor can't be chosen.}} ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 1235 || 11054 || 0.0179
4b3o$2o4bo$2o2b3o!
}}|| 1235 || 11054 || 0.0179
|-
|-
| E-heptomino cousin{{refn|group=note|Most E-heptominoes don't form this way. In fact, the E-heptomino should be ranked much higher and is ranked 15th in the [[octo3obj database]]. In census.rle, there is another not-as-common cousin ranked #82 and a late-generation after-convergence entry ranked #141. Combining #53, #82, and #140 in census.rle gives 19,990 occurrences, ranking it 24th.}} ||{{EmbedViewer|rle = 3o$3bo$o2bo$2b2o!
| E-heptomino cousin{{refn|group=note|Most E-heptominoes don't form this way. In fact, the E-heptomino should be ranked much higher and is ranked 15th in the [[octo3obj database]]. In census.rle, there is another not-as-common cousin ranked #82 and a late-generation after-convergence entry ranked #141. Combining #53, #82, and #140 in census.rle gives 19,990 occurrences, ranking it 24th.}} ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 361 || 11035 || 0.0179
3o$3bo$o2bo$2b2o!
}}|| 361 || 11035 || 0.0179
|-
|-
| Honey farm + block ||{{EmbedViewer|rle = 2b3o$4bo$bob2o2$3o!
| Honey farm + block ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 36 || 10747 {{refn|group=note|This number includes all honey farm + block formations with this offset, regardless of what its predecessor was.}} || 0.0174
2b3o$4bo$bob2o2$3o!
}}|| 36 || 10747 {{refn|group=note|This number includes all honey farm + block formations with this offset, regardless of what its predecessor was.}} || 0.0174
|-
|-
| Unnamed ||{{EmbedViewer|rle = ob3o$bo2bo$b3o!
| Unnamed ||{{LV:Viewer|#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]]
|viewerconfig = #C [[ THUMBSIZE 4 ]]}}|| 26 || 10467 || 0.0169
ob3o$bo2bo$b3o!
}}|| 26 || 10467 || 0.0169
|}
|}



Revision as of 10:20, 12 March 2023

In late 2016, Simon Ekström determined the most common evolutionary sequences using 8 × 8 random soups.[1]

To qualify on the list, a pattern must initially have 12 or fewer cells and reach 20, staying above 12 for at least four generations with different population, at some point in its evolution. For this reason, the traffic light and interchange do not qualify.

Sequence Pattern Lifespan[note 1] Occurrences Relative frequency
Honey farm predecessor
(bun shown)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 3, rule = B3/S23 b2o$o2bo$b3o!
17 617733[note 2] 1.000
R-pentomino
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 3, y = 3, rule = B3/S23 b2o$2o$bo!
1103 531779 0.861
Pi-heptomino
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 3, y = 3, rule = B3/S23 3o$obo$obo!
173 471544 0.763
Lumps of muck
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 3, rule = B3/S23 2o$b2o$2b2o!
63 310237 0.502
Century
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 3, rule = B3/S23 2b2o$3o$bo!
103 266004[note 3] 0.430
B-heptomino
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 3, rule = B3/S23 ob2o$3o$bo!
148 244984[note 4] 0.397
Wing
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 b2o$o2bo$bobo$2b2o!
104 133659 0.216
Herschel with block
(B-heptomino descendant)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 14, y = 4, rule = B3/S23 o11b2o$3o9b2o$obo$2bo!
128 121316 0.196
Teardrop
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 b3o$o2bo$o2bo$b2o!
20 64485 0.104
I-heptomino
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 2o$bo$b2o$2b2o!
247 53177 0.086
Two-glider octomino
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 2b2o$2b2o$3o$bo!
385 50178 0.081
Long bun (object hassled in Jason's p33)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] [[:RLE:Objecthasseledinjasonsp33]]
53 48239 0.078
Procrastinator [2][3]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 o$3o$3bo$b3o!
73 46879 0.076
Blonk-tie
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 3, y = 5, rule = B3/S23 2o$2o$2bo$2bo$2bo!
552 38554 0.062
Unnamed
(active reaction from the beginning of Iwona)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 2, rule = B3/S23 ob3o$2o!
238 37747 0.061
U-turner[4]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 b3o$b3o$obo$2o!
163 29273[note 5] 0.047
Herschel descendant hassled in period-184 glider gun,
H' (without its first natural glider)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 4, rule = B3/S23 2o$o2b2o$bo2bo$b3o!
106 29196 0.047
R-turner (name unofficial[5])
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 4, rule = B3/S23 2b2o$4bo$o2bo$3o!
268 28314 0.046
Original diehard
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 8, y = 3, rule = B3/S23 6bo$2o$bo3b3o!
130 27077 0.044
Object hassled in Jason's p22
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 6, y = 5, rule = B3/S23 2b3o$bo3bo$o4bo$bob2o$2bo!
65 25303 0.041
Traffic light hitting block
(creating block and blinker)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 8, y = 3, rule = B3/S23 2o$2o4bo$5b3o!
47 24725 0.040
Dove
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b2o$bo2bo$o2bo$3o!
200 23603 0.038
Unnamed (soon evolves into a pi and loaf)
(evolves from o3bo$ob3o$6bo)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 3o$3bo$2obo$b2o!
354 22654 0.0367
Herschel (by itself)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 3, y = 4, rule = B3/S23 o$3o$obo$2bo!
128 21929[note 6] 0.0355
Butterfly
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 o$2o$obo$b3o!
33 18593 0.0301
Octomino II
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 bo$3o$ob2o$3bo!
116 18507[note 7] 0.0300
Traffic light hitting block, leaving single beehive
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 8, y = 3, rule = B3/S23 2o5bo$o4bobo$7bo!
69 17795 0.0289
Traffic light hitting block, leaving two blinkers
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 8, y = 4, rule = B3/S23 2o$2o$6bo$5b3o!
36 17656 0.0286
Object hassled in Karel's p177
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 3, rule = B3/S23 ob2o$bo2bo$2b3o!
153 17620 0.0285
Unnamed, dies out
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 b3o$o2bo$o2bo$2bo!
18 17007 0.0275
Object hassled in Merzenich's p64
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 4, rule = B3/S23 2o$obo$2b2o$4bo!
34 16764 0.0271
Unnamed, evolves to 7 blinkers
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 3, rule = B3/S23 o$obo$2ob2o!
45 16695 0.0270
Traffic light hitting block
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 7, y = 6, rule = B3/S23 bo$3o3$5b2o$5bo!
173 16414 0.0266
A single unit in the 3c/7 wave, dies out
(evolves into U-turner descendent and a beehive)
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 4, rule = B3/S23 2bo$bobo$2ob2o$o!
27 16361 0.0265
Traffic light hitting block
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 4b3o$2o3bo$2o!
211 15854 0.0257
Clean bi-block predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 3, rule = B3/S23 obo$2ob2o$2bo!
44 15621 0.0253
Traffic light hitting block
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 8, y = 4, rule = B3/S23 6b2o$o5b2o$2o$o!
22 15505 0.0251
Lumps of muck hitting block
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 4, rule = B3/S23 b3o$o3bo$o$o!
83 15475 0.0251
Intermediate generation of octomino II
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 7, y = 6, rule = B3/S23 2bo$bo$o4b2o$bo4bo$2b2o2bo$3b2o!
94 14689 0.0251
Unnamed six-cell pattern listed as 5.s.1[6]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 3, rule = B3/S23 3o$4bo$3b2o!
49 14585 0.0236
Unnamed beehive edge-shooter[note 8]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 6, y = 5, rule = B3/S23 2bo2bo$bo3bo$o4bo$o$b3o!
61 14525 0.0235
Unnamed, dies out
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 bo$2obo$bobo$2b2o!
49 14509 0.0235
Unnamed
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 4, y = 4, rule = B3/S23 b3o$o2bo$o2bo$obo!
17 13997 0.0227
Unnamed methuselah making
procrastinator and beehive
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 5, y = 3, rule = B3/S23 b2o$bobo$o2b2o!
1675 13661 0.0221
Active reaction in cis-beacon on anvil predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3b2o$4bo$4bo$3bo$3o!
320 13484 0.0218
Unnamed; pi-heptomino hitting boat[note 9]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] b3o$o2bo$o$o$bo!
124 12411 0.0201
U-turner 30-generation predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] b3o2$4bo$o$b3o!
193 12200 0.0197
Unnamed
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] bo$2ob2o$bo$2bobo$3bo!
62 11929 0.0193
AK-47 reaction
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2o$obo$obo$bo3b2o$5b2o!
252 11426 0.0185
B-heptomino predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3o$o2bo$o3bo$bobo!
155 11287 0.0183
Late generation of original diehard
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3b2o$o$bo2bo$b3o!
57 11197 0.0181
Pi + block[note 10]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 4b3o$2o4bo$2o2b3o!
1235 11054 0.0179
E-heptomino cousin[note 11]
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3o$3bo$o2bo$2b2o!
361 11035 0.0179
Honey farm + block
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b3o$4bo$bob2o2$3o!
36 10747 [note 12] 0.0174
Unnamed
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] ob3o$bo2bo$b3o!
26 10467 0.0169

Of the top 96, the queen bee ranks 81st (7910 occurrences), and the pulsar ranks 86th (7360 occurrences).[note 13] The F-heptomino (5154 occurences), thunderbird (6161 occurences), and switch engine (687 occurrences) do not make the top 96. The Z-hexomino ranks 146th (4675 occurrences). Other patterns of note that are more common than the switch engine include multum in parvo (3404), one of the less familiar fours, four blocks in a rectangle (1615), the sequence that forms from a row of 8 on cells (1434), the active reaction in the p130 shuttle (1126), a clean paperclip (1053), gliders by the dozen (855), and a clean bipond (830).

This census for small, common active reactions may provide insights into finding bottlenecks for new conduits.

Common enough but not large enough

This list is more subjective, since these objects do not qualify as large enough. The number of three glider collisions and the number of octohash collisions can provide a rough estimate. These are not guaranteed to be in order of frequency.

Sequence Pattern Lifespan
Traffic light via T-tetromino
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] x = 3, y = 2, rule = B3/S23 3o$bo!
9
Phi spark
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] b2o$o2bo$obo$2bo!
17
Interchange
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b2o$bo2bo$o4bo$b4o!
17
Two loaves
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] b3o$o3bo$2o$2b3o!
12
Two loaves
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2o$obo$obo$2b2o$b2o!
12
2G TL+G
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b2o$bobo$2obo$3o!
34
Unnamed spark
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2b2o$bo$3o$bo!
17
Traffic light via longer sequence
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2o$obo$3b2o!
27
Traffic light via longer sequence
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 4b2o$4o!
28
Fleet
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3bo$b2o$obo$2o!
13
Angel predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2o2bo$obobo$3bo!
14
Tub predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2o$obo2$3o!
13
Tub predecessor
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 3o$obo$3bo$2b2o!
14
Line-of-six spark
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 4o$o2bo!
15
Bakery
#C [[ THUMBNAIL THUMBLAUNCH THUMBSIZE 4 THEME 6 GRID GRIDMAJOR 0 ]] 2bo$3bo$bo2bo$3o$bo!
8

See also

Notes

  1. ↑ Lifespan is measured from its canonical initial form, not from the form in the generated list.
  2. ↑ Another honey farm predecessor is listed separately with 7167 occurrences. If included, the total would be 624900.
  3. ↑ A predecessor of a first cousin of the century is listed separately with 6060 occurrences. If included, the total would be 272064.
  4. ↑ A Herschel and a block with the same relative position as from a B-heptomino are listed separately with 121316 occurrences. If included, the total would be 366300, which would put the B-heptomino in 5th place. In addition, a predecessor of a B-heptaplet (which is included in the B section in the RLE of two-glider collisions) is listed separately with 11287 occurrences. If also included, the total would be 377587 occurrences.
  5. ↑ Another predecessor is listed separately later in this list with 12200 occurrences. If included, the total would be 41473, putting it in 14th place. In addition, the object with 16361 occurrences creates a temporary one before quickly crashing into a beehive.
  6. ↑ A descendant is listed separately with 7533 occurrences. If included, the total would be 29462, which would put the Herschel in 16th place.
  7. ↑ A descendant is listed separately with 14689 occurrences. If included, the total would be 33196, which would put the Octomino II in 16th place.
  8. ↑ This pattern is more common without the blinker, but such pattern doesn't get large enough to qualify for the list.
  9. ↑ This can be turned into a glider almost immediately by placing a tub that interacts with the line of three in generation 2.
  10. ↑ This pi + block is much more common than other pi + block combinations, but since it has several common predecssors, a single ancestor can't be chosen.
  11. ↑ Most E-heptominoes don't form this way. In fact, the E-heptomino should be ranked much higher and is ranked 15th in the octo3obj database. In census.rle, there is another not-as-common cousin ranked #82 and a late-generation after-convergence entry ranked #141. Combining #53, #82, and #140 in census.rle gives 19,990 occurrences, ranking it 24th.
  12. ↑ This number includes all honey farm + block formations with this offset, regardless of what its predecessor was.
  13. ↑ Another pulsar predecessor is listed separately with 5420 occurrences. If combined, the total would be 12780, which would put the pulsar in 46th place. However, the frequency of the pulsar overall may be overstated, as the soups used to make this list were 8×8, and pulsars are more frequent in smaller soups.

References

  1. ↑ simeks (December 28, 2016). Census of small evolving patterns (discussion thread) at the ConwayLife.com forums
  2. ↑ Robert Wainwright (December 1971). Lifeline, vol 4, page 4.
  3. ↑ MathAndCode (November 1, 2020). Small predecessors of common objects and evolutionary sequences (discussion thread) at the ConwayLife.com forums
  4. ↑ MathAndCode (May 4, 2021). Re: Thread for basic questions (discussion thread) at the ConwayLife.com forums
  5. ↑ David Raucci (July 2, 2021). Re: Thread For Your Naming Proposals of Unnamed Patterns (discussion thread) at the ConwayLife.com forums
  6. ↑ Robert Wainwright (December 1971). Lifeline, vol 4, page 10.