I've been looking at c/2 spaceships in this rule recently. First of all, there are no period 2 spaceships with a width less than or equal to 18. I've gone a little ways through the period 2 spaceships with width 19:
Code: Select all
x = 199, y = 20, rule = B3/S234
163bobo16b2o10b2o$127b2ob2o31bobo17b3o6b3o$164bo18b2obob2obob2o$124b2o
2bobo2b2o29bo18b5o2b5o$127b2ob2o29b2ob2o20b2o2b2o$124bo9bo24bo4b4o$
125b2o5b2o25b2o2bo2bo21b2o$97bobo26bo5bo24b4ob5o21bo$97b3o57b3o4b2o$
42bo23bo5bo25bo27bo5bo25bo27bo5bo$6bobobobo23bobobobo23bobobobo23bobob
obo23bobobobo23bobobobo23bobobobo$4bobobobobobo19bobobobobobo19bobobob
obobo19bobobobobobo19bobobobobobo19bobobobobobo19bobobobobobo$6bob3obo
23bob3obo23bob3obo23bob3obo23bob3obo23bob3obo23bob3obo$2obobo7bobob2o
11b2obobo7bobob2o11b2obobo7bobob2o11b2obobo7bobob2o11b2obobo7bobob2o
11b2obobo7bobob2o11b2obobo7bobob2o$4bo9bo19bo9bo19bo9bo19bo9bo19bo9bo
19bo9bo19bo9bo$o3bo2bo3bo2bo3bo11bo3bo2bo3bo2bo3bo11bo3bo2bo3bo2bo3bo
11bo3bo2bo3bo2bo3bo11bo3bo2bo3bo2bo3bo11bo3bo2bo3bo2bo3bo11bo3bo2bo3bo
2bo3bo$b4obo5bob4o13b4obo5bob4o13b4obo5bob4o13b4obo5bob4o13b4obo5bob4o
13b4obo5bob4o13b4obo5bob4o$2b2o2bobobobo2b2o15b2o2bobobobo2b2o15b2o2bo
bobobo2b2o15b2o2bobobobo2b2o15b2o2bobobobo2b2o15b2o2bobobobo2b2o15b2o
2bobobobo2b2o$6b3ob3o23b3ob3o23b3ob3o23b3ob3o23b3ob3o23b3ob3o23b3ob3o$
7bo3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo!
Here are some p2 spaceships with even bilateral symmetry:
Code: Select all
x = 60, y = 13, rule = B3/S234
45bo2bo$2b3o16b3o10b2o8bo4bo8b2o$11bo2bo22bo3bo2bob2obo2bo3bo$5o2bo2bo
4bo2bo2b5o8bo3bo3bobo4bobo3bo3bo$b3o2bo3bob2obo3bo2b3o10b2o3bobob2o2b
2obobo3b2o$b2obobobobo4bobobobob2o11bob5o3b2o3b5obo$2bobobob4o2b4obobo
bo15bob2o8b2obo$4bobobo2b4o2bobobo19bo10bo$bo2bob2o10b2obo2bo13bo2bo
10bo2bo$bo2b3o12b3o2bo13bo2bobobo2bobobo2bo$2bo2bo14bo2bo15bo2b4o2b4o
2bo$2b4o14b4o15b4o2b4o2b4o$3b2o16b2o17b2o10b2o!
Here are three bilaterally-symmetric, width-19 spaceships which can support various tagalongs:
Code: Select all
x = 71, y = 134, rule = B3/S234
2o5bo3bo5b2o$b3o4bobo4b3o$b2obobobobobobob2o$b8ob8o$4b2ob2ob2ob2o2$6b
3ob3o2$4b5ob5o$5b3o3b3o$5b2obobob2o$6bobobobo$8bobo$4b3obobob3o$8bobo$
2b5obobob5o$3b3o2bobo2b3o$3b2obob3obob2o$4bobo5bobo$6bo5bo$2obobo7bobo
b2o$4bo9bo$o3bo2bo3bo2bo3bo$b4obo5bob4o$2b2o2bobobobo2b2o$6b3ob3o$7bo
3bo12$29b2o9b2o$2o15b2o11b3o5b3o$b3o4bobo4b3o12b2obobobob2o$b2obobobob
obobob2o12b5ob5o$b5o2bobo2b5o15b2ob2o$4b2o2bobo2b2o20bo$8bobo$6b2o3b2o
21bobo$6bo5bo22bo$34b3o2$4b3o5b3o17b3ob3o2$4b5ob5o15b5ob5o$5b3o3b3o17b
3o3b3o$5b2obobob2o17b2obobob2o$6bobobobo19bobobobo$8bobo23bobo$4b3obob
ob3o15b3obobob3o$8bobo23bobo$2b5obobob5o11b5obobob5o$3b3o2bobo2b3o13b
3o2bobo2b3o$3b2obob3obob2o13b2obob3obob2o$4bobo5bobo15bobo5bobo$6bo5bo
19bo5bo$2obobo7bobob2o7b2obobo7bobob2o$4bo9bo15bo9bo$o3bo2bo3bo2bo3bo
7bo3bo2bo3bo2bo3bo$b4obo5bob4o9b4obo5bob4o$2b2o2bobobobo2b2o11b2o2bobo
bobo2b2o$6b3ob3o19b3ob3o$7bo3bo21bo3bo10$8bobo$6bobobobo$6bobobobo21bo
bo25bobo$7b2ob2o23bo27bo$6bo5bo21b3o25b3o2$4b3o5b3o17b3ob3o17b3ob3ob3o
2$4b5ob5o15b5ob5o15b5ob5o$5b3o3b3o17b3o3b3o17b3o3b3o$5b2obobob2o17b2ob
obob2o17b2obobob2o$6bobobobo19bobobobo19bobobobo$8bobo23bobo23bobo$4b
3obobob3o15b3obobob3o15b3obobob3o$8bobo23bobo23bobo$2b5obobob5o11b5obo
bob5o11b5obobob5o$3b3o2bobo2b3o13b3o2bobo2b3o13b3o2bobo2b3o$3b2obob3ob
ob2o13b2obob3obob2o13b2obob3obob2o$4bobo5bobo15bobo5bobo15bobo5bobo$6b
o5bo19bo5bo19bo5bo$2obobo7bobob2o7b2obobo7bobob2o7b2obobo7bobob2o$4bo
9bo15bo9bo15bo9bo$o3bo2bo3bo2bo3bo7bo3bo2bo3bo2bo3bo7bo3bo2bo3bo2bo3bo
$b4obo5bob4o9b4obo5bob4o9b4obo5bob4o$2b2o2bobobobo2b2o11b2o2bobobobo2b
2o11b2o2bobobobo2b2o$6b3ob3o19b3ob3o19b3ob3o$7bo3bo21bo3bo21bo3bo8$4b
3o5b3o17b3ob3o17b3ob3ob3o2$4b5ob5o15b5ob5o15b5ob5o$5b3o3b3o17b3o3b3o
17b3o3b3o$5b2obobob2o17b2obobob2o17b2obobob2o$6bobobobo19bobobobo19bob
obobo$8bobo23bobo23bobo$4b3obobob3o15b3obobob3o15b3obobob3o$8bobo23bob
o23bobo$2b5obobob5o11b5obobob5o11b5obobob5o$3b3o2bobo2b3o13b3o2bobo2b
3o13b3o2bobo2b3o$3b2obob3obob2o13b2obob3obob2o13b2obob3obob2o$4bobo5bo
bo15bobo5bobo15bobo5bobo$6bo5bo19bo5bo19bo5bo$2obobo7bobob2o7b2obobo7b
obob2o7b2obobo7bobob2o$4bo9bo15bo9bo15bo9bo$o3bo2bo3bo2bo3bo7bo3bo2bo
3bo2bo3bo7bo3bo2bo3bo2bo3bo$b4obo5bob4o9b4obo5bob4o9b4obo5bob4o$2b2o2b
obobobo2b2o11b2o2bobobobo2b2o11b2o2bobobobo2b2o$6b3ob3o19b3ob3o19b3ob
3o$7bo3bo21bo3bo21bo3bo!
Finally, although no p2 spaceships exist with a width of 18 cells, I have found several p4 c/2 spaceships with a width of 18:
Code: Select all
x = 138, y = 62, rule = B3/S234
94bobo4bobo21bo6bo$95bo6bo22bo6bo$93bobobo2bobobo18bobobo2bobobo$92bob
4o2b4obo16bob4o2b4obo$93b2o2b4o2b2o18b2o2b4o2b2o$92b2o10b2o16b2o10b2o
2$67bo2bo26bo2bo26bo2bo$60b3o3bo4bo3b3o12b3o3bo4bo3b3o12b3o3bo4bo3b3o$
66bob2obo24bob2obo24bob2obo$36bob2obo18b5obo4bob5o12b5obo4bob5o12b5obo
4bob5o$35bo6bo18b3o2b2o2b2o2b3o14b3o2b2o2b2o2b3o14b3o2b2o2b2o2b3o$4b3o
b2ob3o47b2obob2o2b2obob2o14b2obob2o2b2obob2o14b2obob2o2b2obob2o$4b4o2b
4o20b2ob4ob2o18bobo8bobo16bobo8bobo16bobo8bobo$3b2o8b2o19bo2b4o2bo20b
2o6b2o20b2o6b2o20b2o6b2o$4b2o6b2o20b10o19b2ob6ob2o18b2ob6ob2o18b2ob6ob
2o$4b2o6b2o21bobo2bobo22b3o2b3o22b3o2b3o22b3o2b3o$6b2o2b2o24b2o2b2o20b
3o3b2o3b3o16b3o3b2o3b3o16b3o3b2o3b3o$62b6o2b6o16b6o2b6o16b6o2b6o$8b2o
52bo2bobo2bobo2bo16bo2bobo2bobo2bo16bo2bobo2bobo2bo$5bob4obo22bob4obo
19b6o2b6o16b6o2b6o16b6o2b6o$5bo6bo22b2ob2ob2o20b4o4b4o18b4o4b4o18b4o4b
4o$7b4o25b2o2b2o22bob6obo20bob6obo20bob6obo$5b2o4b2o22b2o4b2o22b2o4b2o
22b2o4b2o22b2o4b2o$6bo4bo24bo4bo24bo4bo24bo4bo24bo4bo$6b6o23bo6bo23b6o
24b6o24b6o$3o5b2o5b3o12b2o5b4o5b2o12b3o5b2o5b3o12b3o5b2o5b3o12b3o5b2o
5b3o$31b2obo8bob2o$o4b8o4bo12b4o3b4o3b4o12bo4b8o4bo12bo4b8o4bo12bo4b8o
4bo$5bobo2bobo18bob3obo2bob3obo18bobo2bobo22bobo2bobo22bobo2bobo$2obob
ob4obobob2o12b4obob4obob4o12b2obobob4obobob2o12b2obobob4obobob2o12b2ob
obob4obobob2o$3bobobo2bobobo18bobobo2bobobo18bobobo2bobobo18bobobo2bob
obo18bobobo2bobobo$2o3bob4obo3b2o12b2o3bob4obo3b2o12b2o3bob4obo3b2o12b
2o3bob4obo3b2o12b2o3bob4obo3b2o$bobobobo2bobobobo14bobobobo2bobobobo
14bobobobo2bobobobo14bobobobo2bobobobo14bobobobo2bobobobo$b2ob2ob4ob2o
b2o14b2ob2ob4ob2ob2o14b2ob2ob4ob2ob2o14b2ob2ob4ob2ob2o14b2ob2ob4ob2ob
2o$2bo4bo2bo4bo16bo4bo2bo4bo16bo4bo2bo4bo16bo4bo2bo4bo16bo4bo2bo4bo$b
3obo6bob3o14b3obo6bob3o14b3obo6bob3o14b3obo6bob3o14b3obo6bob3o$b3obo6b
ob3o14b3obo6bob3o14b3obo6bob3o14b3obo6bob3o14b3obo6bob3o$2bobobo4bobob
o16bobobo4bobobo16bobobo4bobobo16bobobo4bobobo16bobobo4bobobo$b2ob2o6b
2ob2o14b2ob2o6b2ob2o14b2ob2o6b2ob2o14b2ob2o6b2ob2o14b2ob2o6b2ob2o$2bob
o3b2o3bobo16bobo3b2o3bobo16bobo3b2o3bobo16bobo3b2o3bobo16bobo3b2o3bobo
$b2ob4o2b4ob2o14b2ob4o2b4ob2o14b2ob4o2b4ob2o14b2ob4o2b4ob2o14b2ob4o2b
4ob2o$2bobo2bo2bo2bobo16bobo2bo2bo2bobo16bobo2bo2bo2bobo16bobo2bo2bo2b
obo16bobo2bo2bo2bobo$b2o3b2o2b2o3b2o14b2o3b2o2b2o3b2o14b2o3b2o2b2o3b2o
14b2o3b2o2b2o3b2o14b2o3b2o2b2o3b2o$2bobo8bobo16bobo8bobo16bobo8bobo16b
obo8bobo16bobo8bobo$b2obo8bob2o14b2obo8bob2o14b2obo8bob2o14b2obo8bob2o
14b2obo8bob2o$2bobo8bobo16bobo8bobo16bobo8bobo16bobo8bobo16bobo8bobo$b
2obo2bo2bo2bob2o14b2obo2bo2bo2bob2o14b2obo2bo2bo2bob2o14b2obo2bo2bo2bo
b2o14b2obo2bo2bo2bob2o$2bobobo4bobobo16bobobo4bobobo16bobobo4bobobo16b
obobo4bobobo16bobobo4bobobo$b2obobob2obobob2o14b2obobob2obobob2o14b2ob
obob2obobob2o14b2obobob2obobob2o14b2obobob2obobob2o$2bobobo4bobobo16bo
bobo4bobobo16bobobo4bobobo16bobobo4bobobo16bobobo4bobobo$b2obob2o2b2ob
ob2o14b2obob2o2b2obob2o14b2obob2o2b2obob2o14b2obob2o2b2obob2o14b2obob
2o2b2obob2o$2bobobo4bobobo16bobobo4bobobo16bobobo4bobobo16bobobo4bobob
o16bobobo4bobobo$b2ob2o6b2ob2o14b2ob2o6b2ob2o14b2ob2o6b2ob2o14b2ob2o6b
2ob2o14b2ob2o6b2ob2o$2bobo8bobo16bobo8bobo16bobo8bobo16bobo8bobo16bobo
8bobo$b2ob4o2b4ob2o14b2ob4o2b4ob2o14b2ob4o2b4ob2o14b2ob4o2b4ob2o14b2ob
4o2b4ob2o$2bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4b
o3bo$b2obob2o2b2obob2o14b2obob2o2b2obob2o14b2obob2o2b2obob2o14b2obob2o
2b2obob2o14b2obob2o2b2obob2o$2bo3b2o2b2o3bo16bo3b2o2b2o3bo16bo3b2o2b2o
3bo16bo3b2o2b2o3bo16bo3b2o2b2o3bo$2bo4bo2bo4bo16bo4bo2bo4bo16bo4bo2bo
4bo16bo4bo2bo4bo16bo4bo2bo4bo$3b2ob2o2b2ob2o18b2ob2o2b2ob2o18b2ob2o2b
2ob2o18b2ob2o2b2ob2o18b2ob2o2b2ob2o$5bo6bo22bo6bo22bo6bo22bo6bo22bo6bo
!
Here's an extensible p2 component with a p4 tail:
Code: Select all
x = 42, y = 93, rule = B3/S234
17bobo2bobo$17bobo2bobo$14b4ob4ob4o2$13bo14bo2$12b2ob2o8b2ob2o2$13bo2b
o8bo2bo$13b2obo8bob2o$16bob2o2b2obo$15b2o8b2o$16bobo4bobo$14bobob2o2b
2obobo$14bobo3b2o3bobo$15b2o8b2o$14bo12bo2$12b3o12b3o2$12b5o8b5o$13b3o
10b3o$13b2obo8bob2o$14bobo8bobo$15b2ob2o2b2ob2o$16bob2o2b2obo$16bob6ob
o$14bobo2b4o2bobo$14b3o8b3o$15bo10bo$14bo12bo$13bo14bo2$12b2ob2o8b2ob
2o2$13bo2bo8bo2bo$13b2obo8bob2o$15b2ob2o2b2ob2o$16bo8bo$16bobo4bobo$
14bobob2o2b2obobo$14bobo3b2o3bobo$15b2o8b2o$14bo12bo2$12b3o12b3o2$12b
5o8b5o$13b3o10b3o$13b2obo8bob2o$14b3o8b3o$16bob2o2b2obo$16bob2o2b2obo$
16bob6obo$14bobo2b4o2bobo$14b3o8b3o$15bo10bo$14bo12bo$13bo14bo2$12b2ob
2o8b2ob2o2$13bo2bo8bo2bo$13b2obo8bob2o$16bob2o2b2obo$15b2o8b2o$16bobo
4bobo$14bobob2o2b2obobo$14bobo3b2o3bobo$15b2o8b2o$14bo12bo2$4b3ob3ob3o
12b3ob3ob3o2$4b5ob5o12b5ob5o$5b3o3b3o14b3o3b3o$5b2obobob2o14b2obobob2o
$6bobobobo16bobobobo$8bobo20bobo$4b3obobob3o12b3obobob3o$8bobo20bobo$
2b5obobob5o8b5obobob5o$3b3o2bobo2b3o10b3o2bobo2b3o$3b2obob3obob2o10b2o
bob3obob2o$4bobo5bobo12bobo5bobo$6bo5bo16bo5bo$2obobo7bobob2o4b2obobo
7bobob2o$4bo9bo12bo9bo$o3bo2bo3bo2bo3bo4bo3bo2bo3bo2bo3bo$b4obo5bob4o
6b4obo5bob4o$2b2o2bobobobo2b2o8b2o2bobobobo2b2o$6b3ob3o16b3ob3o$7bo3bo
18bo3bo!
Here's a small p4 tail that can be attached to the small p2 spaceship:
Code: Select all
x = 31, y = 28, rule = B3/S234
6$15b2ob2o$16b2o$16b3o$17bo$13bobobobo$11bobobobobobo$13bob3obo$7b2obo
bo7bobob2o$11bo9bo$7bo3bo2bo3bo2bo3bo$8b4obo5bob4o$9b2o2bobobobo2b2o$
13b3ob3o$14bo3bo!
More small p4 spaceships:
Code: Select all
x = 67, y = 19, rule = B3/S234
31bo3bo15bo11bo$27b2o9b2o11bo11bo$6bobobobo14b2o3bobo3b2o$8bobo14b3ob
4ob4ob3o8b2ob2o5b2ob2o$ob2obo2bobo2bob2obo7b2obo2bobo2bob2o$3b4obobob
4o10bo4bo3bo4bo10bo2bo5bo2bo$2ob6ob6ob2o8b2o2bo3bo2b2o11b2obo5bob2o$bo
b2o9b2obo10b3o5b3o14b2obobob2o$obo13bobo11bo5bo17bobobobo$2o15b2o11bob
obobo17bob3obo$bo15bo10bobobobobobo13bobo5bobo$2o5bo3bo5b2o11bob3obo
17bo5bo$bobo3bo3bo3bobo6b2obobo7bobob2o5b2obobo7bobob2o$2ob4o5b4ob2o9b
o9bo13bo9bo$bobo2bo5bo2bobo6bo3bo2bo3bo2bo3bo5bo3bo2bo3bo2bo3bo$bob2ob
obobobob2obo7b4obo5bob4o7b4obo5bob4o$2b5ob3ob5o9b2o2bobobobo2b2o9b2o2b
obobobo2b2o$3b3o3bo3b3o14b3ob3o17b3ob3o$31bo3bo19bo3bo!
I have not yet found any higher-period c/2 spaceships