List of integer constructions: Difference between revisions

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| [[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]] || 141207310 || xs16_g88m996z1221
| [[File:bipond.png|48px]] [[bi-pond]] || 141207310 || {{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:xs16_3hu0uh3.png|48px]] {{LinkCatagolue|code=xs16_3hu0uh3|style=raw|patternname=cis-mirrored longhook}} || 113183 || {{LinkCatagolue|code=xs16_3hu0uh3|style=raw}}
| [[File:xs16_3hu0uh3.png|48px]] {{LinkCatagolue|code=xs16_3hu0uh3|style=raw|patternname=cis-mirrored longhook}} || 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:xs16_259e0e952.png|48px]] {{LinkCatagolue|code=xs16_259e0e952|style=raw|patternname=up wing on wing}} || 410813883110 || {{LinkCatagolue|code=xs16_259e0e952|style=raw}}
| [[File:xs16_259e0e952.png|48px]] {{LinkCatagolue|code=xs16_259e0e952|style=raw|patternname=up wing on 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:xs18_j1u0uh3z11.png|48px]] {{LinkCatagolue|code=xs18_j1u0uh3z11|style=raw|patternname=dock and long hook}} || 122915233114 || {{LinkCatagolue|code=xs18_j1u0uh3z11|style=raw}}
| [[File:xs18_j1u0uh3z11.png|48px]] {{LinkCatagolue|code=xs18_j1u0uh3z11|style=raw|patternname=dock and long hook}} || 122915233114 || {{LinkCatagolue|code=xs18_j1u0uh3z11|style=raw}}
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| [[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}}
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| [[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 || xs16_0ggydgj3zop1yd11
| [[File:Half-blockade.png|48px]] [[half-blockade]] || 7 || {{LinkCatagolue|code=xs16_0ggydgj3zop1yd11|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]] two [[beehive]]s || 47 || {{LinkCatagolue|xs12_2552zzy7696|style=raw}}
| [[File:xs12_2552zzy7696.png|48px]] two [[beehive]]s || 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}}
|}
|}


Revision as of 01:02, 20 February 2023

This is a list of integer constructions for some small still lifes, oscillators, and spaceships.[1]

Still lifes

still life integer construction apgcode
block 70, 75 xs4_33
tub 3906 xs4_252
boat 24 xs5_253
beehive 163 xs6_696
ship 516 xs6_356
barge 243 xs6_25a4
aircraft carrier 186176 xs6_39c
snake 341957652114 xs6_bd
loaf 60, 72 xs7_2596
long boat 587 xs7_25ac
eater 1 1084557
1415073111111103975114		 xs7_178c
long snake 6065270247413614 xs7_3lo
pond 36 xs8_6996
mango 857 xs8_69ic
long barge 127515 xs8_25ak8
long ship 154235114 xs8_35ac
tub with tail 2557376 xs8_178k8
canoe 52104106503114 xs8_312ko
shillelagh 157796 xs8_3pm
hook with tail 112108350204 xs8_32qk
long shillelagh 8330423935 xs9_312453
very long boat 4476 xs9_25ako
hat 249681 xs9_4aar
trans-boat with tail 18019138 xs9_178ko
cis-boat with tail 19333076503 xs9_178kc
tub with long tail 1599435990114 xs9_25a84c
integral sign 1135274716 xs9_31ego
tub with nine 187597582 xs10_g0s252z11
very long ship 31808650070114 xs10_35ako
boat tie 7200647110228 xs10_g8o652z01
block on table 41275676414 xs10_32qr
beehive with tail 10846421 xs10_178kk8
trans-barge with tail 55540559353 xs10_ggka52z1
cis-barge with tail 1552921912246414 xs10_178ka4
claw with tail 91254643267 xs10_1784ko
cis shillelagh 111410294065111068 xs10_358gkc
loop 3317286570681 xs10_69ar
eleven loop 761314714 xs11_178jd
elevener 1858705011164 xs11_g0s453z11
eater with cape 21590971031 xs11_31e853
eater tail siamese snake 147432532023 xs11_32132ac
trans loaf with tail 149059473114 xs11_ggm952z1
trans-long boat with tail 6733116821185776 xs11_ggka53z1
boat tie ship 1125100561957 xs11_g8o652z11
cis-boat on table 18710583610 xs11_2530f9
mirrored table 33108318 xs12_raar
ship tie 141225452 xs12_g8o653z11
block on cover 11317113569 xs12_178br
eater head siamese eater tail 410754245114 xs12_178c453
cis-block on long bookend 1006382171456 xs12_3hu066
gull with tub 127745053 xs12_0ggs252z32
beehive with hooked tail 7961412233308125408 xs12_2egm96
snorkel loop 16635966646711066148 xs12_2egm93
tapeworm 38923541681 xs13_321fgkc
beehive at loaf 277305174681 xs13_g88m96z121
half bakery 76109 xs14_g88m952z121
bi-loaf 2 189422808541 xs14_4a9m88gzx121
paper clip 324637 xs14_69bqic
big S 14172002 xs14_g88b96z123
hat cis-siamese hat 1130132 xs14_4aaraa4
xs14_4a9raa4 22798258254132 xs14_4a9raa4
fourteener 23144355435681 xs14_69bo8a6
cis-mirrored bun 380718 xs14_6970796
trans-rotated bun 4104645072 xs14_g8o0e96z121
cis-rotated bun 7621392111674 xs14_6970sic
cis-mirrored bookend 18030383 xs14_39e0e93
cis-bookend and bun 113021797020694 xs14_39e0e96
pond on table 604123154231147 xs14_69960ui
block on dock 141247457341871 xs14_j1u066z11
beehive on cap 410173645421961 xs14_6960uic
carrier siamese dock 14644309288681 xs14_j1u413z11
teardrop at beehive 13673415404000183 xs14_g8id96z121
cis-boat on dock 6581004399314 xs15_j1u06a4z11
bi-pond 141207310 xs16_g88m996z1221
moose antlers 7686328 xs15_354cgc453
File:Xs16 3hu0uh3.png cis-mirrored longhook 113183 xs16_3hu0uh3
beehive on dock 340412204591456712 xs16_j1u0696z11
File:Xs16 259e0e952.png up wing on wing 410813883110 xs16_259e0e952
scorpion 1803712066986301 xs16_69egmiczx1
twin hat 66695034197110359 xs17_2ege1ege2
xs18_8ehlmzw12452 1893303515 xs18_8ehlmzw12452
cis-mirrored dove 4110080033111 xs18_69is0si96
trans-mirrored dove 669019610699 xs18_259aczw359a4
dead spark coil 4108303132 xs18_rhe0ehr
rotated house 6587961971 xs18_c4o0ehrz321
para-dove on house 13554271714 xs18_259aczx65156
pond on dock 182530867166 xs18_3lk453z3443
File:Xs18 j1u0uh3z11.png dock and long hook 122915233114 xs18_j1u0uh3z11
xs19_69b8brz033 7161006176 xs19_69b8brz033
mirrored dock 25410808131018 xs20_3lkkl3z32w23
xs21_0mmgu156z346 46725681 xs21_0mmgu156z346
two blocks on hungry worm 13801006728751 xs21_69b88a6z033033
cis-mirrored worm 6308383830114 xs22_69b88cz69d113
mirrored very long house 630800000080010 xs24_39u0u93z3210123
xs26_39u0u93z6430346 180303033818720 xs26_39u0u93z6430346
mirrored long^4 house 180010010081 xs28_3hu0uh3zc87078c
symmetrical synapse 70310003114 xs38_69ab8ba96z695d1d596
two boats 2, 5 xs10_65208kc
bi-block 80 xs8_rr
two blocks 69 xs8_33y966
two blocks 96 xs8_33zy5cc
half-blockade 7 xs16_0ggydgj3zop1yd11
three blocks 66, 99 xs12_33zy2oozybcc
two beehives 25, 52 xs12_696z696
two beehives 47 xs12_2552zzy7696
two beehives 55 xs12_696y5cic
blockade 67 xs16_0ggydgj3zop1yd11
honey farm 78 xs24_y1696z2552wgw2552zy1343
fleet 7108 xs24_g8o653wggz11wokc321
bakery 1672 xs28_g88m952g8gz1218kid221
land of lakes 1635661 xs32_g88m996z1221y2o44ozy3699611
four eaters 11300 xs28_8e13y331e8zz2egoy3oge2

Oscillators

oscillator integer construction apgcode
blinker 29, 37, 56, 62, 74, 95 xp2_7
two blinkers 4, 44 xp2_111zy2s
two blinkers 30 xp2_7y37
two blinkers 111 xp2_7ze
toad 8696 xp2_7e
beacon 3671 xp2_318c
bipole 7020200455 xp2_31ago
traffic light 1, 33, 68, 89, 94 xp2_s01110szw222
pulsar 0 xp3_co9nas0san9oczgoldlo0oldlogz1047210127401
pentadecathlon 1445481003304129144171771 xp15_4r4z4r4
trans-queen bee shuttle 1983263225470666662666647618 xp30_w33z8kqrqk8zzzx33
3-block twin bees shuttle 397301133310 xp46_033y133zzzckgsxsgkczz0cc
4-block twin bees shuttle 331101301133310 xp46_033y133zzzckgsxsgkczz0ccy1cc

Spaceships

spaceship integer construction apgcode
glider 90 (NW) xq4_153
LWSS 3207 (S)
4119477425114, 41114247464050171114 (W)
4111947115561341114, 4111310416535461114, 41115533188115764251114 (E)		 xq4_6frc
MWSS 94174 (W)
4111472975751114, 41112534474376661 (E)		 xq4_27dee6
HWSS 185598100297311043114 (N) xq4_27deee6

References

  1. ↑ "Dean Hickerson's Life Page: Digits in Life".
Retrieved from "https://conwaylife.com/w/index.php?title=List_of_integer_constructions&oldid=125424"