Reporting minimum width results for c/2 orthogonal:
Minimum asymmetric width is w20a. Minimum odd-symmetric width is w29o. Minimum even-symmetric width is w34e.
Code: Select all
x = 87, y = 38, rule = B36/S125
9bo9bo23bo8bo23bo$7bobobob3obobobo19bobobo4bobobo19bobobo$6bo6b3o6bo
17bo5bo2bo5bo17bo5bo$5b2o2bo3bobo3bo2b2o17bob2o6b2obo19bob2o2bo$4b2ob
4o3bo3b4ob2o14bobo2b2ob2ob2o2bobo15bobo2b2o$4b2o4bo2b3o2bo4b2o13b2o4bo
6bo4b2o12bobo4bob3o$3bo2b2ob2o2bobo2b2ob2o2bo11bob3obo8bob3obo10b2o2bo
bo2b2ob2o$2b3o2bo3b7o3bo2b3o9b3ob2ob2o6b2ob2ob3o9bobobo3bobo2bobo$2b2o
bobo5bobo5bobob2o9bobo2b4o6b4o2bobo12bo5bo2bo3bo$3bo3bob2ob2ob2ob2obo
3bo13bobobo2bo2bo2bobobo13b3obob2o4bobo$3b7ob2obob2ob7o8bobo2bo6bo2bo
6bo2bobo8bo3bobo3bo2bo$2bobo3b2o2b5o2b2o3bobo4b4o2b4o3bob4obo3b4o2b4o
4bo2b2ob2o3b3obo$bo2b2o2b2obo2bo2bob2o2b2o2bo7bo3b2o3bo2b2o2bo3b2o3bo
7bo3bo2bobo3bob2o$o4bob3o9b3obo4bo2bo6bo2bo3bo4bo3bo2bo6bo4b2o2b3obo4b
2obo$2bo9b2ob2o9bo6bobo5bob2o6b2obo5bobo4bo3b5obo3b6o$bob4o3bo2bobo2bo
3b4obo10bobo5bo2bo5bobo9b2obo2bo2bo8bo$10b2o5b2o17b4obo2bob4obo2bob4o
8bobo5b3obobo$bo4bo2bo2bo3bo2bo2bo4bo7b2ob3o3b2ob2ob2o3b3ob2o8b4o3b2ob
2o2bo$9b4o3b4o15bo3b2ob2o8b2ob2o3bo9bob3obo2b2obo$9bo2bo3bo2bo18b2o2bo
2bob2obo2bo2b2o12b3o9bo$10b2o5b2o15b3o3b3o3bo2bo3b3o3b3o9b3o2bo$9b2o7b
2o14bo2bo5bo2b4o2bo5bo2bo7b2obob2obo3bobo$7b2ob2ob3ob2ob2o13bo4bo14bo
4bo11bobo9bo$10b2ob3ob2o23b2o2b4o2b2o17bo2bo2bo3b2o$8bo5bo5bo17b2o5b2o
2b2o5b2o11bobo2bo5bo2bo$8bo11bo19bo14bo12bobo8b2o4bo$10bo7bo20bo2b2o2b
o2bo2b2o2bo16b2o4b3o3b2o$9b2o7b2o21bo2b8o2bo14bo3b2o3bo3b3obo$10b2o2bo
2b2o25bo2b2o2bo16b3ob2o3bo5bo$10b4ob4o50bobob2o5b2o$12bo3bo54bobob2obo
4bo$10bo3bo3bo49bo2b2o3bo4b2obo$68bobobob3o3bo4bo$70bo4bo5b2obo$74bobo
2bo3bo$70bo6bo2b4o$74bo3bo$76bo!
EDIT: Screwing around with JLS and 17c/34 domino puffer?!!!!!!!!!!!!!!! (Edit 2: Put in the correct rule)
Code: Select all
x = 20, y = 68, rule = B36/S125
9bo$7bobobo$6bo5bo$7bob2o2bo$5bobo2b2o$3bobo4bob3o$2b2o2bobo2b2ob2o$2b
obobo3bobo2bobo$5bo5bo2bo3bo$3b3obob2o4bobo$3bo3bobo3bo2bo$2bo2b2ob2o
3b3obo$bo3bo2bobo3bob2o$2b2o2b3obo4b2obo$o3b5obo3b6o$2obo2bo2bo8bo$bob
o5b3obobo$2b4o3b2ob2o2bo$3bob3obo2b2obo$3b3o9bo$4b3o2bo$2b2obob2obo3bo
bo$5bobo9bo$4bo2bo2bo3b2o$2bobo2bo5bo2bo$bobo9bo4bo$6b2o4b3o3b2o$2bo3b
2o3b7obo$b3ob2o3bo2bob2o$2bobob2o$5b3ob2o$6b2obo$8b2o$8bo$7bo$6b3o$4bo
bo$4b3o$5b2o$3b2o$3bob2o$4b4o$9bo$6bo2b2o$6b3obo$7bo2$7bo$6bobo$7bo$5b
o3bo$6bobo$7bo$5b2obo$5bo4bo$5b2obo$4bo3bobo$3b2o4bo$3bob4o$5b3o2$3bo
3b2o$5b4o2$7bo$6b3o$5b5o$5b2ob2o!
Edit 3: Reporting w20a as the min asymmetric width for 2c/4 orthogonal. JLS says no for w19a, and fiddling around with JLS found two small P4 tagalongs as well as a domino puffer.
Code: Select all
x = 80, y = 52, rule = B36/S125
9bo29bo29bo$7bobobo25bobobo25bobobo$6bo5bo23bo5bo23bo5bo$7bob2o2bo23bo
b2o2bo23bob2o2bo$5bobo2b2o23bobo2b2o23bobo2b2o$3bobo4bob3o18bobo4bob3o
18bobo4bob3o$2b2o2bobo2b2ob2o16b2o2bobo2b2ob2o16b2o2bobo2b2ob2o$2bobob
o3bobo2bobo14bobobo3bobo2bobo14bobobo3bobo2bobo$5bo5bo2bo3bo16bo5bo2bo
3bo16bo5bo2bo3bo$3b3obob2o4bobo15b3obob2o4bobo15b3obob2o4bobo$3bo3bobo
3bo2bo16bo3bobo3bo2bo16bo3bobo3bo2bo$2bo2b2ob2o3b3obo14bo2b2ob2o3b3obo
14bo2b2ob2o3b3obo$bo3bo2bobo3bob2o13bo3bo2bobo3bob2o13bo3bo2bobo3bob2o
$2b2o2b3obo4b2obo13b2o2b3obo4b2obo13b2o2b3obo4b2obo$o3b5obo3b6o10bo3b
5obo3b6o10bo3b5obo3b6o$2obo2bo2bo8bo11b2obo2bo2bo8bo11b2obo2bo2bo8bo$b
obo5b3obobo15bobo5b3obobo15bobo5b3obobo$2b4o3b2ob2o2bo15b4o3b2ob2o2bo
15b4o3b2ob2o2bo$3bob3obo2b2obo17bob3obo2b2obo17bob3obo2b2obo$3b3o9bo
17b3o9bo17b3o9bo$4b3o2bo24b3o2bo24b3o2bo$2b2obob2obo3bobo15b2obob2obo
3bobo15b2obob2obo3bobo$5bobo9bo17bobo9bo17bobo9bo$4bo2bo2bo3b2o18bo2bo
2bo3b2o18bo2bo2bo3b2o$2bobo2bo5bo2bo15bobo2bo5bo2bo15bobo2bo5bo2bo$bob
o9bo4bo12bobo9bo4bo12bobo9bo4bo$6b2o4b3o3b2o16b2o4b3o3b2o16b2o4b3o3b2o
$2bo3b2o3b7obo12bo3b2o3b7obo12bo3b2o3b7obo$b3ob2o3bo2bob2o14b3ob2o3bo
2bob2o14b3ob2o3bo2bob2o$2bobob2o24bobob2o24bobob2o$5b3ob2o24b3ob2o24b
3ob2o$6b2obo26b2obo26b2obo$8b2o28b2o28b2o$8bo29bo29bo$7bo29bo29bo$6b3o
27b3o27b2obo$4bobo27bobo30b3o$4b3o27b3o30b2o2bo$5b2o28b2o33bo$3b2o28b
2o35bo$3bob2o26bob2o$4b4o26b4o31bobo$9bo29bo29b3o$6bo2b2o25bo2b2o25bo
2b2o$6b3obo25b3obo24b2obo$7bo29bo27bob2o$37b3o29bo$7bo28bo2bo28b3o$7bo
29b4o25b2o$6bo2bo29bo26bo$69b2o$7bobo!
Additionally, I found a 3c/6 ship at w20a, but it will be much harder to prove or disprove minimality of width.
Code: Select all
x = 20, y = 87, rule = B36/S125
9bo$7bobobo$6bo5bo$7bob2o2bo$5bobo2b2o$3bobo4bob3o$2b2o2bobo2b2ob2o$2b
obobo3bobo2bobo$5bo5bo2bo3bo$3b3obob2o4bobo$3bo3bobo3bo2bo$2bo2b2ob2o
3b3obo$bo3bo2bobo3bob2o$2b2o2b3obo4b2obo$o3b5obo3b6o$2obo2bo2bo8bo$bob
o5b3obobo$2b4o3b2ob2o2bo$3bob3obo2b2obo$3b3o9bo$4b3o2bo$2b2obob2obo3bo
bo$5bobo9bo$4bo2bo2bo3b2o$2bobo2bo5bo2bo$bobo9bo4bo$6b2o4b3o3b2o$2bo3b
2o3b7obo$b3ob2o3bo2bob2o$2bobob2o$5b3ob2o$6b2obo$8b2o$8bo$7bo$6b3o$6b
2o$7bo$7b2o2$7bo$5bobo$4b2o2bo$4bob3o$9bo$8b3o$6b2ob2o$9bo$5bo4bo$2b4o
4bo$5b2o$2bob2ob3o$5bo2bobo$5b4obo$3bo3bo$4bo4bo2$3bobo$3b3o$4b2o2bo$
6bob2o$6b2obo$5bo$5bob2o$8bo2$7b2o$8bo$5b5o$9bo2$8bo$8bo$6b2o$7bo$7bob
o$9bo$6bo$6b4o$7bo2bo$8bo3bo$8bo$9bo$8b2o2bo$7bo2bo$10bo$8b2o!
Edit 4: w27o is sufficient and necessary for 2c/4 orthogonal.
Code: Select all
x = 27, y = 89, rule = B36/S125
8bo9bo$6bobobob3obobobo$5bo6b3o6bo$4b2o2bo3bobo3bo2b2o$3b2ob4obo3bob4o
b2o$3b2o5bobobobo5b2o$2bo3b2ob2o5b2ob2o3bo$3bo4b4obob4o4bo$2o2b2o2b2ob
obobob2o2b2o2b2o$o2bobo6b3o6bobo2bo$7bo5bo5bo$b2o2bo15bo2b2o$o4bo2bo4b
o4bo2bo4bo$bo6b2o2bobo2b2o6bo$2b2obo3bob5obo3bob2o$4b3o5bobo5b3o$3b2o
17b2o$b2obo3bo9bo3bob2o$b2obo4b3o3b3o4bob2o$4bobobo3bobo3bobobo$13bo$
5bobo4bobo4bobo$4bo3b3o5b3o3bo$6b2obo7bob2o$5bo6bobo6bo$6b2ob2obobob2o
b2o$4bo3bo2bobobo2bo3bo$5bo3b2o5b2o3bo$5bo2b11o2bo$7bo11bo$11bo3bo$5bo
bobob5obobobo$4bobo13bobo$4bobob3o5b3obobo$8bobo2bo2bobo$8bo2bobobo2bo
$8bob2o3b2obo$8bo2b5o2bo$7b2o3b3o3b2o$6b3o9b3o$5bo5bo3bo5bo$10b7o$5b2o
bo9bob2o$3bo3bo2bob3obo2bo3bo$3bob2o3bo5bo3b2obo$2b2o6b2o3b2o6b2o$3b4o
13b4o$5b2o3bo5bo3b2o$7bo2b2o3b2o2bo$7b2o2bo3bo2b2o$8bo4bo4bo$9bo3bo3bo
$8b2o7b2o$7b3o7b3o$6bob3o2bo2b3obo$7b5o3b5o$7bo3bo3bo3bo$8b3o5b3o$5bo
3bob2ob2obo3bo$7b3o2bobo2b3o$6b3o9b3o$10b3ob3o$5b2o13b2o$4bob3o2b2ob2o
2b3obo$4bobo3bo5bo3bobo$3bo6bo5bo6bo$4bo4b2ob3ob2o4bo$7b2o4bo4b2o$3bo
5b2o5b2o5bo$2b3obobo4bo4bobob3o$3bobobo3bo3bo3bobobo$3bo3b2ob2o3b2ob2o
3bo$9bob2ob2obo$7bo3b2ob2o3bo$3bo2bobob2o3b2obobo2bo$5bobobo7bobobo$6b
o3b2o3b2o3bo$4bo2b3o7b3o2bo$6bob2o7b2obo$3b2o2bo3bo3bo3bo2b2o$3b5o3bo
3bo3b5o$7b3o7b3o$4bobobobo5bobobobo$7b2o9b2o$8bo9bo$5bob2o9b2obo$8bo9b
o$8bobo5bobo$9bo7bo!
Edit 5: It is known that there's no c/3d spaceships at w9.5s but there is a wickstretcher at that width:
Code: Select all
x = 23, y = 23, rule = B36/S125
6b4o$4bob2o2bo$3b2o2bobobo$2bobo3bo$b3o6bo$10b3o$2o8b2o$3o5bo4bo$o2bo
3bo5bo$obo9bob4o$bo2b3o4b3ob3o$2bo2b2o3b2o4bo$5bo3b2o5bo$7b2obo7bobo$
9bo7b2o$9b2o7bo$9b4o5bo$9b2o3bo3b2obo$13b5o4bo$17bo$13bo$17bo$18bo!
Edit 6: Minimum asymmetric width for c/3d is w9.5a.
Code: Select all
x = 46, y = 47, rule = B36/S125
8b2o$5b3o2bo$4b5o$3b3obo2bobo$2b2o$b3o6b2o$b2o6bo2b2o$b3o5b4obo$obo6bo
3b2o$o5b3o3bobob2o$bobobobo4bo$5bobo3bo4bo$3bo2b2ob2o6bobo$6bobo8bo$7b
3o8bo$17bo$9bobo6b3o$9bo2b2ob5o3b2o$13bob4ob2o3bo$13bob2o3bo4bo$13b2o
4b5o$13b2o7b2o$20bo2bo$23bobobo$24bobo2b2o$29bo$29b2obo$28bo$31bo$29bo
bo2bo$33b2o$31bo3bo$31bo$33bobo$32bo$32bo2bo2$33b2ob3o$33b2o3bo$33bo$
33bo4b2ob2o$35bo2bobo2bo$43bo$40bo2bo$42b2o$42b4o$42b2o!
Edit 7:
Reporting negative for c/4d w8.5s; the known w9.5s ship is minimal width.
Reporting negative for c/4d w7.5a.
Edit 8: c/4d w8a positive!!!
Code: Select all
x = 26, y = 25, rule = B36/S125
b3o$b3o$bob3ob2o$8bo$bobo2bo2bo$2o2bob2o$b3o2bo2b2o$b2ob2o3b2o$4b2o2b
2o$4bo3bobo2b3o$4b3o8bo2bo$7bo2bo4b2obo$8bo2bobo3bo$9bo2b4obobo$7bobo
2b3obob2o$13bo2b3o$17b3obo$14bo3b2o2b2o$20bo2b2o$21bobo$18b3obo$22b2o$
18bo3b4o$19bo2b4o$20bo!
Edit 9: 2c/5 w13a negative.
Edit 10: (2,1)c/5 w12 negative, but I did grab a partial.
Code: Select all
x = 14, y = 15, rule = B36/S125
5b2o$3bobobo$2b2o4b2o$b2o2bo3bo$2bob2o4bo$3o3b4obo$2o2b2o4bobo$3bobo2b
o2b2o$7bo2b2o$3bobo2bo2b3o$3bo6bo$2bo2b3o2b2o$2b3ob2o$2b4o$5bo!
I'm measuring width using the metric at
viewtopic.php?f=12&t=5730&p=184941#p184941; be careful about fencepost errors.
Edit 11: (2,1)c/5 w13.2 negative.
Edit 12: c/5d w7.5s negative.
Edit 13: c/5d w8.5s negative.
Edit 14: c/5d w9.5s positive!
Code: Select all
x = 41, y = 41, rule = B36/S125
4bo$2bo2bo$b2o2b3o$5b2ob2o$o5b4o$b3o$2b3o$2bobo4b2o$3b2o8bobo$3b2o2bo
3bo4b2o$7bo2b2o3bo2bo$9b3o4bo$14b5o$8bo6b4o$12bo6b2o$8bobob2o3b2ob2o$
9bob3o6b2o$9bo2b2obo4b2ob2o$10bob2obo5b3o$14bo6bobo$14b4o5b3o$15b5obo
2b2o$18bo5b2o$17b4o2b2o$17bo2b4o$20b3o4b2o$26bo$25bo4b4o$25bo4bobobo$
29bo2bo3bo$27b2o9b2o$27bo4b2o2b3obo$27b3obo5b2obo$27bo3bo5b3o$28bo2$
29bobo$31b3o$30b4o$30bo2bo$31b2o!
Edit 15: c/5d w5.5a negative.
Edit 16: c/5d w6a negative.
Edit 17: c/5d w6.5a negative, but partials:
Code: Select all
x = 154, y = 54, rule = B36/S125
2bob2o46bo49bobo$2b2o2bo44b3ob2o46bo$2ob2ob2o42b5o3bo41bobob2ob2o$4bob
o47b3o2bo41bobobob2o$3b2obobo43bo4bobo40bobo2bob2o$4b2obo2bo41bo3b2o2b
o41b3o2b2o$8bob3o43bo4bo46b2o$9b4o42bo2bo2bo40b4o3b2o$58b2o42b5obo2bo$
10b2o5bo40bo47b2o3bo$11bobo2bo40b3obo4bo40bo2b2o2bo$12bobobobo39bob2o
2bo2bo40b3o2bobo$10bobob3o42b2o2b2o4bo45b3o$10bo5bo43bob4o45bobo3bo$
15b3obo39bobo2b2o2b2o40bob2o$15b3obo42bo51bobo$16bob2o46bo5bo38bobo2bo
$20bo2b2o40b2o3bobo$16b2ob3o2b2o39bo2b2obo40bo2bobo$20bo2b3o44bo46b2o
2bo$24bo45b4o43bob4o$21bobobo42bo6bo42bo3bo$24bobo44bo2bobo41bob2obo$
22b2o3bo2bo39bo3b2obo41bo4bo$22b4o2b2o49bo44bo$22bo48bo2bo3bo42bo$31b
2obo37bo2bo2bo2b3o37b2obob3o$26b4o48bo4bo38b2obo3bo$25bo4bo2b2o39bo3bo
3bo45bo$26b3o2bo2b2o41b2obobo43bobo$31bo2bo45bobo2b2o$28bo4bobo45b3o2b
o40bo3bo$30b2o3bo42bo9bo40bob2o2b3o$32b2o3bo41bo2b2o2b3o39bobo7bo$81b
2ob2o2b2o38b2o3b2o3b2o$32bob2obo44b2ob3o2bo43bobo3bo$33bobo2b3o40bo2b
2ob3o40bo3bobo2bo$34bo4bobobobo37bo7bobo39bo6bobo$36bob3o2bo40bobobo4b
o43bo5bo$35bo3bo4bo41b2o4bo42b2o2bo2bobo$42b3o40bo3bo46bo3bo$41bo45bo
53bobo$39b2o95b2o2b2o3bobo$143bobo$40b3o97bobobobobo$42bo96bo5bo3bo$
142b2o2bo$143bo2bo2bo$143bob2obob2o$144b2ob2o$144bob2o3bo$147b2ob2obo$
153bo$149b2o2bo!
