List of integer constructions: Difference between revisions
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Should point out this pulsar-constructing example (143) |
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| [[File:aircraftcarrier.png|48px]] [[aircraft carrier]] || 186176 || {{LinkCatagolue|code=xs6_39c|style=raw}} | | [[File:aircraftcarrier.png|48px]] [[aircraft carrier]] || 186176 || {{LinkCatagolue|code=xs6_39c|style=raw}} | ||
|- | |- | ||
| [[File:snake.png|48px]] [[snake]] || | | [[File:snake.png|48px]] [[snake]] || 791703 || {{LinkCatagolue|code=xs6_bd|style=raw}} | ||
|- | |- | ||
| [[File:loaf.png|48px]] [[loaf]] || 60, 72 || {{LinkCatagolue|code=xs7_2596|style=raw}} | | [[File:loaf.png|48px]] [[loaf]] || 60, 72 || {{LinkCatagolue|code=xs7_2596|style=raw}} | ||
| Line 26: | Line 26: | ||
| [[File:longboat.png|48px]] [[long boat]] || 587 || {{LinkCatagolue|code=xs7_25ac|style=raw}} | | [[File:longboat.png|48px]] [[long boat]] || 587 || {{LinkCatagolue|code=xs7_25ac|style=raw}} | ||
|- | |- | ||
| [[File:eater1.png|48px]] [[eater 1]] || 1084557{{br}}1415073111111103975114 || {{LinkCatagolue|code=xs7_178c|style=raw}} | | [[File:eater1.png|48px]] [[eater 1]] || 689703{{br}}1084557{{br}}1415073111111103975114 || {{LinkCatagolue|code=xs7_178c|style=raw}} | ||
|- | |- | ||
| [[File:longsnake.png|48px]] [[long snake]] || 6065270247413614 || {{LinkCatagolue|code=xs7_3lo|style=raw}} | | [[File:longsnake.png|48px]] [[long snake]] || 6065270247413614 || {{LinkCatagolue|code=xs7_3lo|style=raw}} | ||
| Line 76: | Line 76: | ||
| [[File:clawwithtail.png|48px]] [[claw with tail]] || 91254643267 || {{LinkCatagolue|code=xs10_1784ko|style=raw}} | | [[File:clawwithtail.png|48px]] [[claw with tail]] || 91254643267 || {{LinkCatagolue|code=xs10_1784ko|style=raw}} | ||
|- | |- | ||
| [[File:cisshillelagh.png|48px]] [[cis shillelagh]] || 111410294065111068 || {{LinkCatagolue|code=xs10_358gkc|style=raw}} | | [[File:cisshillelagh.png|48px]] [[cis-shillelagh]] || 111410294065111068 || {{LinkCatagolue|code=xs10_358gkc|style=raw}} | ||
|- | |- | ||
| [[File:loop.png|48px]] [[loop]] || 3317286570681 || {{LinkCatagolue|code=xs10_69ar|style=raw}} | | [[File:loop.png|48px]] [[loop]] || 3317286570681 || {{LinkCatagolue|code=xs10_69ar|style=raw}} | ||
| Line 122: | Line 122: | ||
| [[File:paperclip.png|48px]] [[paper clip]] || 324637 || {{LinkCatagolue|code=xs14_69bqic|style=raw}} | | [[File:paperclip.png|48px]] [[paper clip]] || 324637 || {{LinkCatagolue|code=xs14_69bqic|style=raw}} | ||
|- | |- | ||
| [[File:bigs.png|48px]] [[big S]] || | | [[File:bigs.png|48px]] [[big S]] || 751153 || {{LinkCatagolue|code=xs14_g88b96z123|style=raw}} | ||
|- | |- | ||
| [[File:hatcissiamesehat.png|48px]] [[hat cis-siamese hat]] || 1130132 || {{LinkCatagolue|code=xs14_4aaraa4|style=raw}} | | [[File:hatcissiamesehat.png|48px]] [[hat cis-siamese hat]] || 1130132 || {{LinkCatagolue|code=xs14_4aaraa4|style=raw}} | ||
| Line 150: | Line 150: | ||
| [[File:xs14_g8id96z121.png|48px]] {{LinkCatagolue|code=xs14_g8id96z121|style=raw|patternname=teardrop at beehive}} || 13673415404000183 || {{LinkCatagolue|code=xs14_g8id96z121|style=raw}} | | [[File:xs14_g8id96z121.png|48px]] {{LinkCatagolue|code=xs14_g8id96z121|style=raw|patternname=teardrop at beehive}} || 13673415404000183 || {{LinkCatagolue|code=xs14_g8id96z121|style=raw}} | ||
|- | |- | ||
| [[File:cisboatondock.png|48px]] [[cis-boat on dock]] || 6581004399314 || xs15_j1u06a4z11 | | [[File:cisboatondock.png|48px]] [[cis-boat on dock]] || 6581004399314 || {{LinkCatagolue|code=xs15_j1u06a4z11|style=raw}} | ||
|- | |- | ||
| [[File:bipond.png|48px]] [[bi-pond]] || | | [[File:bipond.png|48px]] [[bi-pond]] || 736313 || {{LinkCatagolue|code=xs16_g88m996z1221|style=raw}} | ||
|- | |- | ||
| [[File:mooseantlers.png|48px]] [[moose antlers]] || 7686328 || xs15_354cgc453 | | [[File:mooseantlers.png|48px]] [[moose antlers]] || 7686328 || {{LinkCatagolue|code=xs15_354cgc453|style=raw}} | ||
|- | |- | ||
| [[File: | | [[File:cismirroredlongbookend.png|48px]] [[cis-mirrored long bookend]] || 113183 || {{LinkCatagolue|code=xs16_3hu0uh3|style=raw}} | ||
|- | |- | ||
| [[File:beehiveondock.png|48px]] [[beehive on dock]] || 340412204591456712 || xs16_j1u0696z11 | | [[File:beehiveondock.png|48px]] [[beehive on dock]] || 340412204591456712 || {{LinkCatagolue|code=xs16_j1u0696z11|style=raw}} | ||
|- | |- | ||
| [[File: | | [[File:cismirroredwing.png|48px]] [[cis-mirrored wing]] || 410813883110 || {{LinkCatagolue|code=xs16_259e0e952|style=raw}} | ||
|- | |- | ||
| [[File:scorpion.png|48px]] [[scorpion]] || 1803712066986301 || xs16_69egmiczx1 | | [[File:scorpion.png|48px]] [[scorpion]] || 1803712066986301 || {{LinkCatagolue|code=xs16_69egmiczx1|style=raw}} | ||
|- | |- | ||
| [[File:twinhat.png|48px]] [[twin hat]] || 66695034197110359 || xs17_2ege1ege2 | | [[File:twinhat.png|48px]] [[twin hat]] || 66695034197110359 || {{LinkCatagolue|code=xs17_2ege1ege2|style=raw}} | ||
|- | |- | ||
| [[File:xs18_8ehlmzw12452.png|48px]] {{LinkCatagolue|code=xs18_8ehlmzw12452|style=raw|patternname=xs18_8ehlmzw12452}} || 1893303515 || {{LinkCatagolue|code=xs18_8ehlmzw12452|style=raw}} | | [[File:xs18_8ehlmzw12452.png|48px]] {{LinkCatagolue|code=xs18_8ehlmzw12452|style=raw|patternname=xs18_8ehlmzw12452}} || 1893303515 || {{LinkCatagolue|code=xs18_8ehlmzw12452|style=raw}} | ||
|- | |- | ||
| [[File:cismirroreddove.png|48px]] [[cis-mirrored dove]] || 4110080033111 || xs18_69is0si96 | | [[File:cismirroreddove.png|48px]] [[cis-mirrored dove]] || 4110080033111 || {{LinkCatagolue|code=xs18_69is0si96|style=raw}} | ||
|- | |- | ||
| [[File:transmirroreddove.png|48px]] [[trans-mirrored dove]] || 669019610699 || xs18_259aczw359a4 | | [[File:transmirroreddove.png|48px]] [[trans-mirrored dove]] || 669019610699 || {{LinkCatagolue|code=xs18_259aczw359a4|style=raw}} | ||
|- | |- | ||
| [[File:deadsparkcoil.png|48px]] [[dead spark coil]] || 4108303132 || xs18_rhe0ehr | | [[File:deadsparkcoil.png|48px]] [[dead spark coil]] || 4108303132 || {{LinkCatagolue|code=xs18_rhe0ehr|style=raw}} | ||
|- | |- | ||
| [[File:rotatedhouse.png|48px]] [[rotated house]] || 6587961971 || xs18_c4o0ehrz321 | | [[File:rotatedhouse.png|48px]] [[rotated house]] || 6587961971 || {{LinkCatagolue|code=xs18_c4o0ehrz321|style=raw}} | ||
|- | |- | ||
| [[File:xs18_259aczx65156.png|48px]] {{LinkCatagolue|code=xs18_259aczx65156|style=raw|patternname=para-dove on house}} || 13554271714 || {{LinkCatagolue|code=xs18_259aczx65156|style=raw}} | | [[File:xs18_259aczx65156.png|48px]] {{LinkCatagolue|code=xs18_259aczx65156|style=raw|patternname=para-dove on house}} || 13554271714 || {{LinkCatagolue|code=xs18_259aczx65156|style=raw}} | ||
|- | |- | ||
| [[File:pondondock.png|48px]] [[pond on dock]] || 182530867166 || xs18_3lk453z3443 | | [[File:pondondock.png|48px]] [[pond on dock]] || 182530867166 || {{LinkCatagolue|code=xs18_3lk453z3443|style=raw}} | ||
|- | |- | ||
| [[File: | | [[File:metadockandlongbookend.png|48px]] [[meta-dock and long bookend]] || 122915233114 || {{LinkCatagolue|code=xs18_j1u0uh3z11|style=raw}} | ||
|- | |- | ||
| [[File:xs19_69b8brz033.png|48px]] {{LinkCatagolue|code=xs19_69b8brz033|style=raw|patternname=xs19_69b8brz033}} || 7161006176 || {{LinkCatagolue|code=xs19_69b8brz033|style=raw}} | | [[File:xs19_69b8brz033.png|48px]] {{LinkCatagolue|code=xs19_69b8brz033|style=raw|patternname=xs19_69b8brz033}} || 7161006176 || {{LinkCatagolue|code=xs19_69b8brz033|style=raw}} | ||
|- | |- | ||
| [[File:mirroreddock.png|48px]] [[mirrored dock]] || 25410808131018 || xs20_3lkkl3z32w23 | | [[File:mirroreddock.png|48px]] [[mirrored dock]] || 25410808131018 || {{LinkCatagolue|code=xs20_3lkkl3z32w23|style=raw}} | ||
|- | |- | ||
| [[File:xs21_0mmgu156z346.png|48px]] {{LinkCatagolue|code=xs21_0mmgu156z346|style=raw|patternname=xs21_0mmgu156z346}} || 46725681 || {{LinkCatagolue|code=xs21_0mmgu156z346|style=raw}} | | [[File:xs21_0mmgu156z346.png|48px]] {{LinkCatagolue|code=xs21_0mmgu156z346|style=raw|patternname=xs21_0mmgu156z346}} || 46725681 || {{LinkCatagolue|code=xs21_0mmgu156z346|style=raw}} | ||
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| [[File:xs21_69b88a6z033033.png|48px]] {{LinkCatagolue|code=xs21_69b88a6z033033|style=raw|patternname=two blocks on hungry worm}} || 13801006728751 || {{LinkCatagolue|code=xs21_69b88a6z033033|style=raw}} | | [[File:xs21_69b88a6z033033.png|48px]] {{LinkCatagolue|code=xs21_69b88a6z033033|style=raw|patternname=two blocks on hungry worm}} || 13801006728751 || {{LinkCatagolue|code=xs21_69b88a6z033033|style=raw}} | ||
|- | |- | ||
| [[File:cismirroredworm.png|48px]] [[cis-mirrored worm]] || 6308383830114 || xs22_69b88cz69d113 | | [[File:cismirroredworm.png|48px]] [[cis-mirrored worm]] || 6308383830114 || {{LinkCatagolue|code=xs22_69b88cz69d113|style=raw}} | ||
|- | |- | ||
| [[File:xs24_39u0u93z3210123.png|48px]] {{LinkCatagolue|code=xs24_39u0u93z3210123|style=raw|patternname=mirrored very long house}} || 630800000080010 || {{LinkCatagolue|code=xs24_39u0u93z3210123|style=raw}} | | [[File:xs24_39u0u93z3210123.png|48px]] {{LinkCatagolue|code=xs24_39u0u93z3210123|style=raw|patternname=mirrored very long house}} || 630800000080010 || {{LinkCatagolue|code=xs24_39u0u93z3210123|style=raw}} | ||
| Line 198: | Line 198: | ||
| [[File:xs28_3hu0uh3zc87078c.png|48px]] {{LinkCatagolue|code=xs28_3hu0uh3zc87078c|style=raw|patternname=mirrored long^4 house}} || 180010010081 || {{LinkCatagolue|code=xs28_3hu0uh3zc87078c|style=raw}} | | [[File:xs28_3hu0uh3zc87078c.png|48px]] {{LinkCatagolue|code=xs28_3hu0uh3zc87078c|style=raw|patternname=mirrored long^4 house}} || 180010010081 || {{LinkCatagolue|code=xs28_3hu0uh3zc87078c|style=raw}} | ||
|- | |- | ||
| [[File:symmetricalsynapse.png|48px]] [[symmetrical synapse]] || 70310003114 || xs38_69ab8ba96z695d1d596 | | [[File:symmetricalsynapse.png|48px]] [[symmetrical synapse]] || 70310003114 || {{LinkCatagolue|code=xs38_69ab8ba96z695d1d596|style=raw}} | ||
|- | |- | ||
| [[File:xs10_65208kc.png|48px]] two [[boat]]s || 2, 5 || {{LinkCatagolue|xs10_65208kc|style=raw}} | | [[File:xs10_65208kc.png|48px]] two [[boat]]s || 2, 5 || {{LinkCatagolue|code=xs10_65208kc|style=raw}} | ||
|- | |- | ||
| [[File:biblock.png|48px]] [[bi-block]] || 80 || xs8_rr | | [[File:biblock.png|48px]] [[bi-block]] || 80 || {{LinkCatagolue|code=xs8_rr|style=raw}} | ||
|- | |- | ||
| [[File:xs8_33y966.png|48px]] two [[block]]s || 69 || {{LinkCatagolue|xs8_33y966|style=raw}} | | [[File:xs8_33y966.png|48px]] two [[block]]s || 69 || {{LinkCatagolue|xs8_33y966|style=raw}} | ||
| Line 208: | Line 208: | ||
| [[File:xs8_33zy5cc.png|48px]] two [[block]]s || 96 || {{LinkCatagolue|xs8_33zy5cc|style=raw}} | | [[File:xs8_33zy5cc.png|48px]] two [[block]]s || 96 || {{LinkCatagolue|xs8_33zy5cc|style=raw}} | ||
|- | |- | ||
| [[File:Half-blockade.png|48px]] [[half-blockade]] || 7 || | | [[File:Half-blockade.png|48px]] [[half-blockade]] || 7 || {{LinkCatagolue|code=xs8_33w66|style=raw}} | ||
|- | |- | ||
| [[File:xs12_33zy2oozybcc.png|48px]] three [[block]]s || 66, 99 || {{LinkCatagolue|xs12_33zy2oozybcc|style=raw}} | | [[File:xs12_33zy2oozybcc.png|48px]] three [[block]]s || 66, 99 || {{LinkCatagolue|code=xs12_33zy2oozybcc|style=raw}} | ||
|- | |- | ||
| [[File:twobeehivesoffset5,0.png|48px]] two [[beehive]]s || 25, 52 || {{LinkCatagolue|xs12_696z696|style=raw}} | | [[File:twobeehivesoffset5,0.png|48px]] two [[beehive]]s || 25, 52 || {{LinkCatagolue|code=xs12_696z696|style=raw}} | ||
|- | |- | ||
| [[File:xs12_2552zzy7696.png|48px]] | | [[File:xs12_2552zzy7696.png|48px]] [[butterfly]] || 47 || {{LinkCatagolue|code=xs12_2552zzy7696|style=raw}} | ||
|- | |- | ||
| [[File:xs12_696y5cic.png|48px]] two [[beehive]]s || 55 || {{LinkCatagolue|xs12_696y5cic|style=raw}} | | [[File:xs12_696y5cic.png|48px]] two [[beehive]]s || 55 || {{LinkCatagolue|code=xs12_696y5cic|style=raw}} | ||
|- | |- | ||
| [[File:blockade.png|48px]] [[blockade]] || 67 || xs16_0ggydgj3zop1yd11 | | [[File:blockade.png|48px]] [[blockade]] || 67 || {{LinkCatagolue|code=xs16_0ggydgj3zop1yd11|style=raw}} | ||
|- | |- | ||
| [[File:honeyfarm.png|48px]] [[honey farm]] || 78 || xs24_y1696z2552wgw2552zy1343 | | [[File:honeyfarm.png|48px]] [[honey farm]] || 78 || {{LinkCatagolue|code=xs24_y1696z2552wgw2552zy1343|style=raw}} | ||
|- | |- | ||
| [[File:fleet.png|48px]] [[fleet]] || 7108 || xs24_g8o653wggz11wokc321 | | [[File:fleet.png|48px]] [[fleet]] || 7108 || {{LinkCatagolue|code=xs24_g8o653wggz11wokc321|style=raw}} | ||
|- | |- | ||
| [[File:bakery.png|48px]] [[bakery]] || 1672 || xs28_g88m952g8gz1218kid221 | | [[File:bakery.png|48px]] [[bakery]] || 1672 || {{LinkCatagolue|code=xs28_g88m952g8gz1218kid221|style=raw}} | ||
|- | |- | ||
| [[File:landoflakes.png|48px]] [[land of lakes]] || 1635661 || xs32_g88m996z1221y2o44ozy3699611 | | [[File:landoflakes.png|48px]] [[land of lakes]] || 1635661 || {{LinkCatagolue|code=xs32_g88m996z1221y2o44ozy3699611|style=raw}} | ||
|- | |- | ||
| [[File:foureaters.png|48px]] [[four eaters]] || 11300 || xs28_8e13y331e8zz2egoy3oge2 | | [[File:foureaters.png|48px]] [[four eaters]] || 11300 || {{LinkCatagolue|code=xs28_8e13y331e8zz2egoy3oge2|style=raw}} | ||
|} | |} | ||
| Line 242: | Line 242: | ||
| [[File:xp2_7y37.png|48px]] two [[blinker]]s || 30 || {{LinkCatagolue|xp2_7y37|style=raw}} | | [[File:xp2_7y37.png|48px]] two [[blinker]]s || 30 || {{LinkCatagolue|xp2_7y37|style=raw}} | ||
|- | |- | ||
| [[File:xp2_7ze.png|48px]] two [[blinker]]s || 111 || {{LinkCatagolue|xp2_7ze|style=raw}} | | [[File:xp2_7ze.png|48px]] two [[blinker]]s || 111{{refn|group="notes"|for n>2, two blinkers horizontally spaced 2n-1 cells apart are produce by an integer of n 1s}} || {{LinkCatagolue|xp2_7ze|style=raw}} | ||
|- | |- | ||
| [[File:toad.png|48px]] [[toad]] || 8696 || {{LinkCatagolue|xp2_7e|style=raw}} | | [[File:toad.png|48px]] [[toad]] || 8696 || {{LinkCatagolue|xp2_7e|style=raw}} | ||
| Line 252: | Line 252: | ||
| [[File:trafficlight.png|48px]] [[traffic light]] || 1, 33, 68, 89, 94 || {{LinkCatagolue|xp2_s01110szw222|style=raw}} | | [[File:trafficlight.png|48px]] [[traffic light]] || 1, 33, 68, 89, 94 || {{LinkCatagolue|xp2_s01110szw222|style=raw}} | ||
|- | |- | ||
| [[File:pulsar.png|48px]] [[pulsar]] || 0 || {{LinkCatagolue|xp3_co9nas0san9oczgoldlo0oldlogz1047210127401|style=raw}} | | [[File:pulsar.png|48px]] [[pulsar]] || 0, 143 || {{LinkCatagolue|xp3_co9nas0san9oczgoldlo0oldlogz1047210127401|style=raw}} | ||
|- | |- | ||
| [[File:pentadecathlon.png|48px]] [[pentadecathlon]] || | | [[File:pentadecathlon.png|48px]] [[pentadecathlon]] || 777071 || {{LinkCatagolue|xp15_4r4z4r4|style=raw}} | ||
|- | |||
| [[File:Tumbler.png|48px]] [[tumbler]] || 101008103088 || {{LinkCatagolue|xp14_j9d0d9j|style=raw}} | |||
|- | |- | ||
| [[File:transqueenbeeshuttle.png|48px]] [[trans-queen bee shuttle]] || 1983263225470666662666647618 || {{LinkCatagolue|xp30_w33z8kqrqk8zzzx33|style=raw}} | | [[File:transqueenbeeshuttle.png|48px]] [[trans-queen bee shuttle]] || 1983263225470666662666647618 || {{LinkCatagolue|xp30_w33z8kqrqk8zzzx33|style=raw}} | ||
| Line 268: | Line 270: | ||
! spaceship !! integer construction !! apgcode | ! spaceship !! integer construction !! apgcode | ||
|- | |- | ||
| [[File:glider.png|48px]] [[glider]] || 90 (NW) || {{LinkCatagolue|code=xq4_153|style=raw}} | | [[File:glider.png|48px]] [[glider]] || 90 (NW), 416 (NE) || {{LinkCatagolue|code=xq4_153|style=raw}} | ||
|- | |- | ||
| [[File:lwss.png|48px]] [[LWSS]] || 3207 (S){{br}}4119477425114, 41114247464050171114 (W){{br}}4111947115561341114, 4111310416535461114, 41115533188115764251114 (E) || {{LinkCatagolue|code=xq4_6frc|style=raw}} | | [[File:lwss.png|48px]] [[LWSS]] || 3207 (S){{br}}4119477425114, 41114247464050171114 (W){{br}}4111947115561341114, 4111310416535461114, 41115533188115764251114 (E) || {{LinkCatagolue|code=xq4_6frc|style=raw}} | ||
| Line 274: | Line 276: | ||
| [[File:mwss.png|48px]] [[MWSS]] || 94174 (W){{br}}4111472975751114, 41112534474376661 (E) || {{LinkCatagolue|code=xq4_27dee6|style=raw}} | | [[File:mwss.png|48px]] [[MWSS]] || 94174 (W){{br}}4111472975751114, 41112534474376661 (E) || {{LinkCatagolue|code=xq4_27dee6|style=raw}} | ||
|- | |- | ||
| [[File:hwss.png|48px]] [[HWSS]] || | | [[File:hwss.png|48px]] [[HWSS]] || 653209 (W), 747007 (S) || {{LinkCatagolue|code=xq4_27deee6|style=raw}} | ||
|} | |} | ||
== Notes == | |||
<references group="notes" /> | |||
== References == | == References == | ||
<references /> | <references /> | ||
[[Category:Lists of patterns]] | [[Category:Lists of patterns]] | ||
Latest revision as of 23:40, 5 July 2026
This is a list of integer constructions for some small still lifes, oscillators, and spaceships.[1]
Still lifes
Oscillators
| oscillator | integer construction | apgcode |
|---|---|---|
| 29, 37, 56, 62, 74, 95 | xp2_7 | |
| 4, 44 | xp2_111zy2s | |
| 30 | xp2_7y37 | |
| 111[notes 1] | xp2_7ze | |
| 8696 | xp2_7e | |
| 3671 | xp2_318c | |
| 7020200455 | xp2_31ago | |
| 1, 33, 68, 89, 94 | xp2_s01110szw222 | |
| 0, 143 | xp3_co9nas0san9oczgoldlo0oldlogz1047210127401 | |
| 777071 | xp15_4r4z4r4 | |
| 101008103088 | xp14_j9d0d9j | |
| 1983263225470666662666647618 | xp30_w33z8kqrqk8zzzx33 | |
| 397301133310 | xp46_033y133zzzckgsxsgkczz0cc | |
| 331101301133310 | xp46_033y133zzzckgsxsgkczz0ccy1cc |
Spaceships
| spaceship | integer construction | apgcode |
|---|---|---|
| 90 (NW), 416 (NE) | xq4_153 | |
| 3207 (S) 4119477425114, 41114247464050171114 (W) 4111947115561341114, 4111310416535461114, 41115533188115764251114 (E) |
xq4_6frc | |
| 94174 (W) 4111472975751114, 41112534474376661 (E) |
xq4_27dee6 | |
| 653209 (W), 747007 (S) | xq4_27deee6 |
Notes
- ↑ for n>2, two blinkers horizontally spaced 2n-1 cells apart are produce by an integer of n 1s