Code: Select all
#C [[ ARROWTRACK 3/1275 12/1275 ARROW 143.5 24.5 111.5 16.5 3.2 ]]
#C [[ ARROWTRACK 3/1275 12/1275 ARROW 111.5 16.5 82.5 16.5 3.2 ]]
#C [[ ARROWTRACK 3/1275 12/1275 ARROW 82.5 16.5 49.5 16.5 3.2 ]]
#C [[ ARROWTRACK 3/1275 12/1275 ARROW 49.5 16.5 16.5 19.5 3.2 ]]
#C [[ LABELTRACK 3/1275 12/1275 LABEL 165 0 3.2 "(3,12)c/1275" ]]
#C [[ LABELTRACK 3/1275 12/1275 LABEL 127.5 0 3.2 "(-32,8,-65)" ]]
#C [[ LABELTRACK 3/1275 12/1275 LABEL 97 0 3.2 "(-29,0,-41)" ]]
#C [[ LABELTRACK 3/1275 12/1275 LABEL 66 0 3.2 "(-33,0,-12)" ]]
#C [[ LABELTRACK 3/1275 12/1275 LABEL 33 0 3.2 "(-33,-3,-41)" ]]
#C [[ ARROWTRACK 3/1035 12/1035 ARROW 143.5 84.5 111.5 79.5 3.2 ]]
#C [[ ARROWTRACK 3/1035 12/1035 ARROW 111.5 79.5 79.5 79.5 3.2 ]]
#C [[ ARROWTRACK 3/1035 12/1035 ARROW 79.5 79.5 46.5 79.5 3.2 ]]
#C [[ LABELTRACK 3/1035 12/1035 LABEL 165 60 3.2 "(3,12)c/1035" ]]
#C [[ LABELTRACK 3/1035 12/1035 LABEL 127.5 60 3.2 "(-32,5,-61)" ]]
#C [[ LABELTRACK 3/1035 12/1035 LABEL 95.5 60 3.2 "(-32,0,-19)" ]]
#C [[ LABELTRACK 3/1035 12/1035 LABEL 63 60 3.2 "(-33,0,-19)" ]]
x = 186, y = 111, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7cSuper
44.B9.B22.B9.B18.B9.B$43.3B5.B.3B.BM17.3B5.B.3B.2B13.3B5.B.3B.2B$39.
2B.5B3.6B.2MB12.2B.5B3.6B.3B8.2B.5B3.6B.3B$11.B9.B16.9B2.6B2M5B9.9B2.
13B5.9B2.13B$10.3B5.B.3B.2B11.10B2.6BMBM5B7.10B2.14B3.2BM7B2.14B$6.2B
.5B3.6B.3B9.10B2.16B5.10B2.16B.2B3M5B2.16B$5.9B2.13B7.19BM4BM4B4.30B
2MB2M23B$4.10B2.14B5.20BMBM3BM3B3.31BM2B2M23B$3.10B2.16B3.22B2M2B2MBM
3.30B2M4B2M21B12.B9.B$3.29B2.24B6MB2.20B2M9B3MBMBM22B10.3B5.B.3B.2B$
2.30B4.23B2M5B3.18B2MBM6B.BM2B3M23B5.2B.5B3.6B.3B$.30B3.22BM2BM25B3M
2B2M37B3.9B2.13B$.31B.23B3M26BM2B3M37B3.10B2.14B$3.30B.23BM3B.3B2.18B
3MBM4B2.27B.3B3.10B2.16B$.33B.26B7.26B3.26B7.29B$33B.28B5.27BM.28B5.
30B$.27B.3B3.14B2D13B4.14B2D5B2M20B2D13B2.30B$2.26B8.13B2D14B4.13B2D
4B2MB2M18B2D14B.31B4.B9.B$.20BM7B9.28B5.18B2M8B.28B2.30B2.3B5.B.3B.2B
$2.14B2D2B3M8B8.26B7.18BM7B3.26B.38B3.6B.3B$3.13B2DB2M2BM8B3.3B.27B2.
3B.28B.65B2.13B$5.15B4M9B.121B.10B2.14B$6.10B2MBMB2M9B.95B.36B2.16B$
2.3B.8B5M14B.30B3.59B2.56B$.13BM19B.31B2.60B.14B2D39B$15BM2BM14B3.30B
3.59B2.13B2D38B$.14BMBM13B4.30B3.59B5.52B$2.14BM4BM2BM8B2.29B4.58B7.
52B$3.18BM2BM8B3.16B2.10B5.16B2.10B.16B2.10B3.3B.53B$2.18B2M2BM7B5.
14B2.10B7.14B2.10B3.14B2.10B3.8BM48B$2.19BMBM7B7.13B2.9B9.13B2.9B5.
13B2.9B3.8B3M42B.3B$3.16B2.3M7B9.3B.6B3.5B.2B12.3B.6B3.5B.2B8.3B.6B3.
5B.2B5.6B2M44B$4.14B2.10B11.2B.3B.B5.3B17.2B.3B.B5.3B13.2B.3B.B5.3B
10.6BM45B$5.13B2.9B16.B9.B22.B9.B18.B9.B12.3M3BM3BM42B$7.3B.6B3.5B.2B
62.2M37.M2BM3B2M46B$8.2B.3B.B5.3B65.3M37.M5BMB2M46B$12.B9.B67.2M38.3B
2M11B2.24B3M9B$131.3B3MBM6B2.10B.14BMBM10B$132.2B2MB2M6B2.25BMB3M9B$
134.B2M.6B3.21BM4BMB2M8B$135.2B.3B.B5.3B2.14B3M2B2M9B$139.B9.B4.12B2M
BM3B3M9B$155.13BM5BM10B$154.14BM15B$154.29B$155.15BM2.10B$156.14B2.
10B$157.13B2.9B$159.3B.6B3.5B.2B$160.2B.3B.B5.3B$164.B9.B13$41.B9.B
22.B9.B21.B9.B$40.3B5.B.3B.2B17.3B5.M.3B.2B16.3B5.B.3B.2B$36.2B.5B3.
6B.3B12.2B.5B3.BM4B.3B11.MB.5B3.6B.3B$35.9B2.13B9.9B2.B2M10B8.B2M6B2.
13B$34.10B2.14B7.10B2.2M12B6.2MB2M5B2.14B$33.10B2.16B5.10B2.B2M13B4.B
4M5B2.16B12.B9.B$33.29B4.29B3.MBM26B10.3B5.B.3B.2B$32.30B3.30B2.3BM
26B6.2B.5B3.6B.3B$31.30B3.30B2.B3MBM2B3M19B6.9B2.13B$31.23B3M6B.15BM
15B.BMBM2B2M2BM20B4.10B2.14B$33.14B2M8B2M5B2.11BMBM16B2.M3BMB3M21B2.
10B2.16B$31.15BMB2M8BM10B2M6BM20B2M2B3M24B.29B$30.15B2MB2M4B5M10BM4B
5M23B3M23B.30B$31.15B3M7BMB.3B2.5B3MB4MBMB2M9B.4B.26B.3B.30B$32.15BMB
M8B7.11B2MB3M9B6.26B5.31B4.B9.B$31.19BMBM6B5.8B2M3B3M12B4.28B6.30B2.
3B5.B.3B.2B$32.14B2DB2M2BM7B4.13BM2D13B3.14B2D13B2.38B3.6B.3B$33.13B
2DB2M3BM7B4.12BM2D14B3.13B2D53B2.13B$35.15BMB2M9B5.28B4.55B.10B2.14B$
36.14B2M10B7.26B6.26B2.36B2.16B$32.3B.27B2.3B.27B.3B.83B$31.112B2D39B
$30.98B2.13B2D38B$31.30B3.30B2.30B6.52B$32.31B2.31B.31B5.52B$33.30B3.
30B2.30B.3B.53B$32.30B3.30B2.30B.8BM48B$32.29B4.29B3.29B.8B3M42B.3B$
33.16B2.10B5.16B2.10B4.16B2.10B2.6B2M44B$34.14B2.10B7.14B2.10B6.14B2.
10B4.6BM45B$35.13B2.9B9.13B2.9B8.13B2.9B6.3M3BM3BM42B$37.3B.6B3.5B.2B
12.3B.6B3.5B.B2M10.3B.6B3.5B.2B6.M2BM3B2M46B$38.2B.3B.B5.3B17.2B.3B.B
5.3B2.3M11.2B.3B.B5.3B10.M5BMB2M46B$42.B9.B22.B9.B4.2M15.B9.B12.3B2M
11B2.24B3M9B$131.3B3MBM6B2.10B.14BMBM10B$132.2B2MB2M6B2.25BMB3M9B$
134.B2M.6B3.21BM4BMB2M8B$135.2B.3B.B5.3B2.14B3M2B2M9B$139.B9.B4.12B2M
BM3B3M9B$155.13BM5BM10B$154.14BM15B$154.29B$155.15BM2.10B$156.14B2.
10B$157.13B2.9B$159.3B.6B3.5B.2B$160.2B.3B.B5.3B$164.B9.B!
The two spaceships shown above have the same terminals for westbound T-ship, which gives two constraints:
ΣΔy = 5
2ΣΔx - ΣΔt = -95
With generous assistance from FWCamelship in private correspondence, an affirmative answer can be given to the question "Are there 4-in-a-row spaceships?". FWCamelship (EDIT: corrected attribution) found these 16 new spaceships:
Code: Select all
#C [[ TRACK 3/795 12/795 ]]
x = 955, y = 60, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
949bo$348bo119bo359bo119b3o$39bo67bo51bo67bo51bo67b3o50bo66b3o237bo
119b3o117bob2o$40b2o64b3o49bobo65b3o51b2o64b2o2bo48bobo64b2o2bo235b3o
117b2o2bo116b2o2bo$41bo65b3o50b2o65b3o51bo69bo49b2o68bo48b2o63bo54b2o
65b3o50b2o69bo48b2o70b2o$38bo2bo64b2ob2o47b3o65b2ob2o47bo2bo69b2o46b3o
69b2o48b2o61b3o54b2o63b2ob2o50b2o68b2o48b2o70b2o$7bo30b2ob2o63b2obo17b
o31bo66b2obo17bo30b2ob2o67b2o15bo32bo69b2o15bo30b2obo61b2obo20bo30b2ob
o64b2obo17bo30b2obo68b2o15bo30b2obo70b2o$6b3o30b5o36bo26bo18b3o32b3o
36bo26bo18b3o30b5o82b3o33b3o81b3o29bo4bo59bo22b3o29bo4bo36bo26bo18b3o
29bo4bo82b3o29bo4bo68bo$5b2o31b2o4bo80b2o31b4o2bo80b2o31b2o4bo80b2o32b
4o2bo79b2o31bo4bo59bo21b2o31bo4bo81b2o31bo4bo81b2o31bo4bo$6bo29b2o2b2o
2b2o80bo30bo2bo3bo81bo29b2o2b2o2b2o80bo31bo2bo3bo80bo31bo5b2o30bobo25b
2o20bo31bo5b2o80bo31bo5b2o80bo31bo5b2o34b3o3bo$b3o3bo28bo6b2o18bo15bo
3bo37b3o3bo28b2o5b2o18bo15bo3bo37b3o3bo28bo6b2o34b3o2b2o35b3o3bo29b2o
5b2o33b3o2b2o35b3o3bo28b2o2bo4bo16b2o12b4o41b3o3bo28b2o2bo4bo17bo15bo
3bo37b3o3bo28b2o2bo4bo33b3o2b2o35b3o3bo28b2o2bo4bo34bobo3b2o$o2bo3bob
2o25b3o35bo4b2o2b2o35bo2bo3bob2o26b2o35bo4b2o2b2o35bo2bo3bob2o25b3o40b
obo3b2o33bo2bo3bob2o27b2o39bobo3b2o33bo2bo3bob2o24b2o6b3o15bobo15b2o
25bo13bo2bo3bob2o24b2o6b3o28bo4b2o2b2o35bo2bo3bob2o24b2o6b3o33bobo3b2o
33bo2bo3bob2o24b2o6b3o34bobo4b2o$o61b2o8b2obo3bob3o36bo61b2o8b2obo3bob
3o36bo77bobobo2bo34bo77bobobo2bo34bo35b2o23bo10b3o2bobo22bo17bo35b2o
24b2o8b2obo3bob3o36bo35b2o40bobobo2bo34bo35b2o41bobobo2b2o$4b2o2bo53bo
9b2ob2o5bo41b2o2bo53bo9b2ob2o5bo41b2o2bo66bo3bo2b3o39b2o2bo66bo3bo2b3o
39b2o2bo28bo23b2o9bo5bo27bo17b2o2bo28bo24bo9b2ob2o5bo41b2o2bo28bo37bo
3bo2b3o39b2o2bo28bo42bo2bobo$5b2o65b2o3b2o46b2o65b2o3b2o46b2o69bo6bo
41b2o69bo6bo41b2o65bo2bo25bo2b3o18b2o65b2o3b2o46b2o69bo6bo41b2o72bo2b
4o$74bo3bo115bo3bo116b3o2bo114b3o2bo112b3o38bo79bo3bo116b3o2bo117bo3bo
bo$12bo62bo2bo53bo62bo2bo53bo63bo2b2o51bo63bo2b2o51bo119bo62bo2bo53bo
63bo2b2o51bo$75b3o117b3o118bobo117bobo155b2o79b3o118bobo117bo2bo$316b
3o117b3o156bo200b3o117bo2bo$917b3o21$760b2o120bo66bo$39bo119b2o120bo
66bo51bo67bo169b3o121bo65bo54b2o63b3o$39b2o66bo53bo65bo52bobo64b3o51b
2o64b3o170bo66bo51bo2bo64b3o54bo62bob2o$37b2ob2o64b3o49bo2bo64b3o53b2o
62b2o2bo51bo63b2o2bo45b3o117b2ob2o65b3o51b3o63b2o2bo50bo2bo62b2o2bo$
39b2o66b3o49b3o65b3o50b3o68bo47bo2bo68bo44bobo66bo50b2o69b3o121bo49b2o
b2o66b2o$35bo70b2ob2o115b2ob2o50bo69b2o46b2ob2o67b2o41bo2b2o65b3o49b2o
68b2ob2o53bo66b2o49b5o66b2o$7bo98b2obo17bo35bo62b2obo17bo35b3o64b2o15b
o32b5o65b2o15bo26bob2o2bo62b2obo20bo34b2o62b2obo17bo32b2ob3o64b2o15bo
33b2o4bo64b2o$6b3o31bob3o35bo26bo18b3o30b2ob3o35bo26bo18b3o31b4o2bo79b
3o30b2o4bo80b3o27bob3o62bo22b3o30b3ob2o35bo26bo18b3o30bo2bo2b2o79b3o
30b2o2b2o2b2o63bo$5b2o32b3o2bo80b2o31bo2bo2b2o79b2o32bo2bo3bo78b2o30b
2o2b2o2b2o78b2o27b2o3bo63bo21b2o32bo3bo81b2o32bo5bo79b2o32bo6b2o$6bo
31b2o2b3o81bo31bo5bo81bo31b2o5b2o79bo30bo6b2o80bo69bobo25b2o20bo32b4o
83bo32b2o85bo32b3o38b3o3bo$b3o3bo31bob2o20bo15bo3bo37b3o3bo30b2o23bo
15bo3bo37b3o3bo31b2o38b3o2b2o35b3o3bo29b3o39b3o2b2o35b3o3bo54b2o12b4o
41b3o3bo33bo21bo15bo3bo37b3o3bo71b3o2b2o35b3o3bo72bobo3b2o$o2bo3bob2o
30b2o31bo4b2o2b2o35bo2bo3bob2o63bo4b2o2b2o35bo2bo3bob2o68bobo3b2o33bo
2bo3bob2o68bobo3b2o33bo2bo3bob2o50bobo15b2o25bo13bo2bo3bob2o63bo4b2o2b
2o35bo2bo3bob2o68bobo3b2o33bo2bo3bob2o69bobo4b2o$o61b2o8b2obo3bob3o36b
o61b2o8b2obo3bob3o36bo77bobobo2bo34bo77bobobo2bo34bo60bo10b3o2bobo22bo
17bo61b2o8b2obo3bob3o36bo77bobobo2bo34bo78bobobo2b2o$4b2o2bo53bo9b2ob
2o5bo41b2o2bo53bo9b2ob2o5bo41b2o2bo66bo3bo2b3o39b2o2bo66bo3bo2b3o39b2o
2bo52b2o9bo5bo27bo17b2o2bo53bo9b2ob2o5bo41b2o2bo66bo3bo2b3o39b2o2bo71b
o2bobo$5b2o65b2o3b2o46b2o65b2o3b2o46b2o69bo6bo41b2o69bo6bo41b2o65bo2bo
25bo2b3o18b2o65b2o3b2o46b2o69bo6bo41b2o72bo2b4o$74bo3bo115bo3bo116b3o
2bo114b3o2bo112b3o38bo79bo3bo116b3o2bo117bo3bobo$12bo62bo2bo53bo62bo2b
o53bo63bo2b2o51bo63bo2b2o51bo119bo62bo2bo53bo63bo2b2o51bo$75b3o117b3o
118bobo117bobo155b2o79b3o118bobo117bo2bo$316b3o117b3o156bo200b3o117bo
2bo$917b3o!
First row
[(-32, 2, -14), (-31, 3, -17)] - xq795_y9o88gyzy827erb2zos0ogy3g04u38s6k8y98c350156ogie4z2731y4131yl12bf1
[(-32, 2, -15), (-31, 3, -16)] - xq795_8sogy4gogykgg9e4z37031y3104fo27c52ya7okcqgc319ezy93221yzy88serq8
[(-33, 2, -16), (-31, 3, -17)] - xq795_2bre72yzy8ggc4szym4eigo651053c8yb63qggg4y4go8zyp1fb21ym3631y2124c62
[(-32, 2, -17), (-32, 3, -16)] - xq795_2bre72yzy8ggc4szyoeigo61b653syb63qggg4y4go8zyr4ei11yk3631y2124c62
[(-30, 1, -9), (-31, 4, -18)] - xq795_yzytogndrgsydgogzg88oyz8qres8yk1yg46502naz3620kgke4zy11
[(-32, 1, -13), (-31, 4, -18)] - xq795_21i7is8zw31yveqi8oykgzyy274111yiejh3y9gogzyzylg40ggqy7an20564
[(-33, 1, -15), (-31, 4, -18)] - xq795_3ogh97yzy9gc6c8zyl8smxc84026yd7dqhooy5o88zyo1togyl1107553y1112c8a6
[(-34, 1, -17), (-31, 4, -18)] - xq795_yi9y2475hezzzzgo4mcyz0sii6xgyce2mcq36z0pg9q44r17yw1w5c531yd111zx101
Second row with the vectors in reversed order
[(-31, 3, -17), (-32, 2, -14)] - xq795_y4gs6rmozgo8y1323011yo7i4s8yee2mcq36z0tmj570c28yq12131yi111zy42447
[(-31, 3, -16), (-32, 2, -15)] - xq795_o422eyzyk4e9ggz11022ypo8oyoe913cgqcko7ylo31hiszyn2c89ru3c01zys1263
[(-31, 3, -17), (-33, 2, -16)] - xq795_go42364yzyj4e9ggz011ysocogyne913cgqcko7ym8qres8zypcob1114zys11647
[(-32, 3, -16), (-32, 2, -17)] - xq795_y4gs6rmoyzy7oazgo8y1323011yo2npcksyfehgo7z0tmj570c28ys3022zy42447
[(-31, 4, -18), (-30, 1, -9)] - xq795_21t9ey462icwsigcyaosi72zya4c72ye25c65e897yhgg862ez02w2yzyi346
[(-31, 4, -18), (-32, 1, -13)] - xq795_y4gs6rmozgo8y1323011yn9hhieyfe2mcq36z0tmj570c28yo433ym111zy42447
[(-31, 4, -18), (-33, 1, -15)] - xq795_y4gs6rmoyzy7oazgo8y1323011yn9hhieyhehgo7z0tmj570c28yo433zy42447
[(-31, 4, -18), (-34, 1, -17)] - xq795_y4gs6rmoyzy8s026zgo8y1323011yn9hhieyi1eaa6z0tmj570c28yo433zy42447
In summary, a simple modelling aids spaceship building effectively.
This post is dedicated to a senior electrical engineer with profound foresight into Chinese IT industry.