List of integer constructions

From LifeWiki
Revision as of 23:40, 5 July 2026 by C R 116 (talk | contribs) (Should point out this pulsar-constructing example (143))
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

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 791703 xs6_bd
loaf 60, 72 xs7_2596
long boat 587 xs7_25ac
eater 1 689703
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 751153 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 736313 xs16_g88m996z1221
moose antlers 7686328 xs15_354cgc453
cis-mirrored long bookend 113183 xs16_3hu0uh3
beehive on dock 340412204591456712 xs16_j1u0696z11
cis-mirrored 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
meta-dock and long bookend 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 xs8_33w66
three blocks 66, 99 xs12_33zy2oozybcc
two beehives 25, 52 xs12_696z696
butterfly 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[notes 1] 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, 143 xp3_co9nas0san9oczgoldlo0oldlogz1047210127401
pentadecathlon 777071 xp15_4r4z4r4
tumbler 101008103088 xp14_j9d0d9j
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), 416 (NE) xq4_153
LWSS 3207 (S)
4119477425114, 41114247464050171114 (W)
4111947115561341114, 4111310416535461114, 41115533188115764251114 (E)		 xq4_6frc
MWSS 94174 (W)
4111472975751114, 41112534474376661 (E)		 xq4_27dee6
HWSS 653209 (W), 747007 (S) xq4_27deee6

Notes

  1. ↑ for n>2, two blinkers horizontally spaced 2n-1 cells apart are produce by an integer of n 1s

References

  1. ↑ "Dean Hickerson's Life Page: Digits in Life".
Retrieved from "https://conwaylife.com/w/index.php?title=List_of_integer_constructions&oldid=173893"