B34/S2, B34/S26, and related rules

[bismarckisbestgirl]

B34/S2 is an interesting rule... and one with a lot of oscillators.

Most initial patterns die out quickly. The most common object by far is the blinker, with the runner-ups being the beehive and some oscillators. The oscillator xp2_2f4, known as the "weird toad", and the oscillator xp4_6f are notable. xp2_2f4 and the beehive are about forty times less common than the blinker. Large soups often produce interesting oscillators that don't work in any other rule. Spaceships are rare in this rule, and the smallest known one is a c/3 orthogonal glider.

Patterns that work in B3/S23 and B34/S2 include the toad, the clock, and the beehive.

c/3 orthogonal glider:

Code: Select all

x = 7, y = 4, rule = B34/S2
o2b4o$ob2o2bo$2obo2bo$4b2o!

There's also a double-ended wickstretcher.

[bismarckisbestgirl]

Spaceship partials:

Code: Select all

x = 11, y = 13, rule = B34/S2
5b2o$3bo4bo$9bo$3bobo4bo$5bo4bo$5b6o$3o$5b6o$5bo4bo$3bobo4bo$9bo$3bo4b
o$5b2o!

Code: Select all

x = 8, y = 6, rule = B34/S2
2b2o$o4bo$6bo$2bo4bo$2bo4bo$2b6o!

[bismarckisbestgirl]

Other people's elementary spaceships:

Code: Select all

x = 10, y = 55, rule = B34/S2
2.A$2.A.A$2.2A.2A$2.A3.A$4.A2.3A$8.A$4.A$3.A2.A$6.2A$2.A$2.A.2A3.A$.3A2.A$2.2A2.A.A$2.A.3A$5.A$.A2.A$.A$3.A$3A.A$2A3.2A$.A3.A2.A$2.2A$8.A$6.3A$5.A.A$6.A$5.3A$7.A$7.A$5.A$5.A$4.3A$4.A$3.2A$2.3A$2.A3.2A.A$.2A3.4A$2.A$2.2A$2.5A$3.A2.A$.3A2.A$.A3.A$.A3.A$2.A$3.2A2$5.2A$4.A.A$9.A$3.A5.A$.A3.A2.A$3.A.3A$.A.A.A$3.A!

Code: Select all

x = 8, y = 9, rule = B34/S2
3A2.3A2$3.2A$2.A2.A$.A4.A$A6.A$A6.A$A6.A$2.4A!

Code: Select all

x = 18, y = 18, rule = B34/S2
9.2A$7.3A$8.2A$8.A$7.A$7.A$5.3A.3A$3.2A4.A3.A2.2A$4.A10.2A$.3A6.A4.2A$3A3.2A3.2A.2A$A2.A.A$4.A5.A$.3A4.A.A$7.A$5A2.A$.2A2.3A$2.A!

Edit: Matthias Merzenich discovered those last two.

[yujh]

please, edit your posts. (and this rule isn't threadworthy anyways)

[LaundryPizza03]

Other people's elementary spaceships:

Code: Select all

x = 10, y = 55, rule = B34/S2
2.A$2.A.A$2.2A.2A$2.A3.A$4.A2.3A$8.A$4.A$3.A2.A$6.2A$2.A$2.A.2A3.A$.3A2.A$2.2A2.A.A$2.A.3A$5.A$.A2.A$.A$3.A$3A.A$2A3.2A$.A3.A2.A$2.2A$8.A$6.3A$5.A.A$6.A$5.3A$7.A$7.A$5.A$5.A$4.3A$4.A$3.2A$2.3A$2.A3.2A.A$.2A3.4A$2.A$2.2A$2.5A$3.A2.A$.3A2.A$.A3.A$.A3.A$2.A$3.2A2$5.2A$4.A.A$9.A$3.A5.A$.A3.A2.A$3.A.3A$.A.A.A$3.A!

Code: Select all

x = 8, y = 9, rule = B34/S2
3A2.3A2$3.2A$2.A2.A$.A4.A$A6.A$A6.A$A6.A$2.4A!

Code: Select all

x = 18, y = 18, rule = B34/S2
9.2A$7.3A$8.2A$8.A$7.A$7.A$5.3A.3A$3.2A4.A3.A2.2A$4.A10.2A$.3A6.A4.2A$3A3.2A3.2A.2A$A2.A.A$4.A5.A$.3A4.A.A$7.A$5A2.A$.2A2.3A$2.A!

Those are all the currently known spaceships.

Spaceship partials

Code: Select all

x = 11, y = 13, rule = B34/S2
5b2o$3bo4bo$9bo$3bobo4bo$5bo4bo$5b6o$3o$5b6o$5bo4bo$3bobo4bo$9bo$3bo4b
o$5b2o!

Code: Select all

x = 8, y = 6, rule = B34/S2
2b2o$o4bo$6bo$2bo4bo$2bo4bo$2b6o!

c/9o... Have you tried ntzfind or qfind to get a better c/9o partial? Here are two partials I got for bilateral symmetry at width 11 and 12:

Code: Select all

x = 26, y = 16, rule = B34/S2
19b2o$2bo5bo6b3o4b3o$2o3bo3b2o$bo3bo3bo6bobo2bobo2$3b2ob2o8bo6bo$15b2o
6b2o$2bo5bo5bo2bo4bo2bo$2b7o5bo10bo$3b5o$3bobobo6b3o6b3o$b3o3b3o6b3o2b
3o$17bo4bo$5bo13b2o$5bo10bobo2bobo$5bo11bob2obo!

I'd also recommend ikpx2 for c/5d or c/6d or c/6o. You can upload ikpx2 partials to Catagolue, since patterns tend to settle down quickly into small objects.

Code: Select all

x = 86, y = 55, rule = B34/S2
3o2b3ob5o2bo2b2obo3bobob2o4b2o2bo2bobo2bo5bo4b3o5bo2bobo3b5obo$b5o3bob
obob2o2bo3b2o2bobo5bo2b2ob3o2bobo2b2obo2b2o3b3o7b2ob7o$bobo2bo2b2obobo
bob3ob2ob2obo4b2o4bobo4b2obo3bo2b3o2bobo5bobo4b4ob5o$ob2ob2o3b3obo2bob
ob4obo4bobobobo4bobobob4obobo5bobobobo2bobo3b2obo2bobo$ob7o2b3o4bo8b3o
2bo2bobob3o6b3obo3b2o3bob6o3bo2b5o$9bobobo2b3o5b2obob2obo2b2ob2o2b2ob
3o2bobobo3bo5b2ob2obob2o3b4obob2o$2o4bo4b6o2b3obobobo2b2obo4bo4bo2bobo
b2o4bo6bo2bo4bo2bob4o4b2o$11b4o3b2ob3obob4o2b4ob2ob2obo3b2ob4ob3o3b4o
3b2o2bo2bobo4bobo$o2bo2bo2bobo5b6obobob2ob3obob7o2bob5ob4ob2obob4ob3o
4b3o2b3o$b2obobo4bobo2bo3bo2bo4bo2b2ob2o4b2obo4b7o3bob2ob2o5b2ob2obo3b
3ob2o$3b3o2b2obo4b2obob2o3bo2bob2obobob2o2bobob3obob6o5b2obobob2obo2b
2obo3b3o$obo2b2obo4b2o7bo5b3ob5o2b4ob4ob2ob3o2b11obobo4bobobob4o$b6o2b
obobobob3o7bobob3o4b2o3b3ob3o2bo2b3o4b2o2b2o3b10o3b2o$9bo2bo2bo2bobo3b
o3bobo4bobo2b3ob2obo3bob2o5b2obo2b2obo2b5obo$2o2bob2o5b4ob3o2b2o2bobob
o4bo2b3ob3o2bo3bob2o3bobobo2b2o8bobo3b3o$bob3o4bo2b4o2b2obobob4obobob
3o3bobob3obobo2bob4o2b3o2bobob2obobo6bobo$obob4o4b7o5bo2bobob5ob2ob2o
2b5ob2o2b2ob2obo2b2o3b2obob3o3b3ob3o$o2b5obobo2bo3bobob2o2bo4b3o2b2o3b
4obo2bobobob2o5bo2b4ob2ob5obobob2o$2b6o2bobob3o9bo2b2obo2b2obobob2obob
o5b2ob2obo2bo3b2obo6bob3o2bo$3b4o2bobob7ob3o2bob5o2bob2obo2b2obo2bobo
4bobo3b2o2b3o2b2o2b3o2bo4bo$bobobob2o2bo6b3ob2o3bobob2o2b4ob7o3bobo6bo
b2obo2b3o4b3ob2o2b2o$b3o2b4o3b2o2b2o2bob2obobobobob2o2bo2bo2b3ob2obobo
2bobob2obob2o2bob3o2b2o4b4o$b6o2b2o2b3o2b2o3b7o6b3obobo2bob2o2bo2bob2o
2bobobob2o2bo2bobobo3bobo$2o3bobobo2b2o3b3obo3b2ob2o4bob3obo4b4o2bo3bo
2bo3b4ob3ob3o3b2o4b2o$3obob3obo3b2o6b4o2bobob2o3b3o2bobob4o4bob2obob3o
b4o3bob4o2bo2bobo$2obob5obo2b4ob2o4b3ob2o3bo2b3ob2ob5o4b3obobo2b2o2b4o
bo2b3o3b2obobo$2o5b2o3b2o2bo2b3ob2ob10o4bobob2o5bo2bo6bob2o9bo2bobob5o
$bo2b2ob3o6bo2bo2b2ob4obob2o2b2obo2bo3bobo2b2o3bo3b3obob2ob2o5b5o4bo$o
b3o7b2obo3bo2bo6b5o2bo6bo2bo2bobo3b7obob3ob4o6b4o2bo$o2b7ob2ob3ob6ob4o
2bo2b3obob2obobo2bob3o5b2o9b2o2bob5o4bo$2b2ob2o2bob3o2bob3obobo2bob2o
4b2o2b3ob3o3bo2bo2bobobo7b3ob2obo3b3o4bo$2bob4o4bo2b7obo3b2ob2ob3ob6ob
2obo2b2o3b2ob5obob4obo2bo5bobo2bo$b3ob10ob8obo2bo2b4o2bob3obobo3bobob
2ob2o3b3obo2bobo2bo3bo3bobo$2b2o3b3o6bo2bo5bob2ob2o3b2ob7obob3obob2obo
b2o2bobo3bo5b3ob2o2bobo$ob4o3bob3o2b2obob2ob2o5bo2bo2bo3b3ob2obo3b2o3b
10o5bo3b2obo4bo$5b2ob8o2b2ob2o2bob2o2b3o2bo5b3ob2obob4obo3bob3obobo2b
2o3bob2obo2b2o$bob4obo5bo3bo4bobo2b4o3b2o5b3ob2obo5bo4b2o4bob2o3bo2bo
2bo5bo$bobob2o2bob3ob4o5b2o2bo3bob5o3b2o2b4o2bobobo3bo2b3obobob2ob3obo
bo4bo$o4bo2bo2bob3obobob3o5b3o2bo5b3o3b2obo6b2o3b4o2bo2b10ob2o2bo$b5ob
2obo4bobo2b3o6bo4b3ob2ob6o3bobob2o3b3o2bob10o5b2obo$2o2bo3b3o2b4obob2o
3b2obo2b2o3b5o5bobob2o2bo3bo2b4ob3o3b3o2b4obobo$b2obob4o5bobo2bo3b2ob
4o3b2obob3o4bo2b4obo3b2ob2o4bobobob8obo2bo$2obobo3bob2obob7obo2b4o2b3o
3b6o6b2o2b2o2b4ob3o4b7ob3obo$b3o2b3ob5o2b2o3b3obob5o6b2o2bob4o2bo3bobo
bobo6b2o3b2o2bo4b3o$b6o3bo4bo2bobobobobo4b2ob2o2b2o2b2o2b5obo2b2obobo
2b2ob8obobob5o$3o2b3o3b2o2bo2bobobo4bo2bobo3b3ob3o4bob2o2bob2o2b3o2bo
3bo2bobo3bobo3bo$2bobob4ob2o5bo2b2obo2bo4bo2b2obobo5b4o2b2ob2obo4b2o2b
o4bo5b2obo3bo$b5o3bob3o2bobobo2b4obo2bo6bobob2obobobo2b2o2b5ob2o2b2o2b
o2bo2bo2bo2bob2o$bo2bo2bob2obobo2bo4bo3b2obo3b3o5b3ob2ob2obo3bobo2b2o
2b8ob2obob2obob3o$obobo2b2ob2o4b4o2bobobob5ob2obobobo4b2obo2bo2b2o4b5o
b4o3b2ob5ob2o$3bo7bo2b2o4bo4b3obo2b3o5bo7bo3b2o2bo2bobo2bo3bobo4b2ob2o
3bobo$ob3o3b3o2b6o3bobobo2bobo2bob2o2bobobo2b4ob2o2b4ob2o4b2ob6ob2ob5o
$2bo3bo6b2ob2o3bo7bob3o4bobob4obob2o4b3obobo4b2o6bo3b3o2bobo$2obobo2b
2o3b2o2bobo3bob3o2bobo2bo3bo3bob5o2bo2b2o3bobo4b2o2b2ob2ob2ob3o$3b2ob
2ob2ob4o4bobob3o3b2o3bo6b4ob2o2b2o3b2obobobobo4bo2b3obo5b2o!

[bismarckisbestgirl]

c/3 orthogonal tagalong partial found while searching in rlifesrc:

Code: Select all

x = 15, y = 31, rule = B34/S2
2b3o5b3o$2bo2bo3bo2bo$2bo2bo3bo2bo$2b3o5b3o$3bo7bo$4bo5bo$2b3o5b3o3$4b
2o3b2o$4bo5bo$5bo3bo$5bo3bo$4bob3obo$4b2o3b2o$3b3o3b3o$2bo3b3o3bo$2bo
4bo4bo$6b3o$4b7o$4bo5bo$3bo7bo$2bo9bo$2b5ob5o$2bo9bo2$6o3b6o$b3obo3bo
b3o$b3ob2ob2ob3o$3bobo3bobo$b2o3bobo3b2o!

edit: another partial tagalong

Code: Select all

x = 15, y = 31, rule = B34/S2
2b3o5b3o$2bo2bo3bo2bo$2bo2bo3bo2bo$2b3o5b3o$3bo7bo$4bo5bo$2b3o5b3o3$4b
2o3b2o$4bo5bo$5bo3bo$5bo3bo$4bob3obo$4b2o3b2o$3b3o3b3o$2bo3b3o3bo$2bo
4bo4bo$6b3o$4b7o$4bo5bo$3bo7bo$2bo9bo$2b5ob5o$2bo9bo2$6o3b6o$b3obo3bo
b3o$b3ob2ob2ob3o$3bobo3bobo$b2o3bobo3b2o![code]

[bismarckisbestgirl]

Dumping some partials I found while searching.

Code: Select all

x = 15, y = 20, rule = B34/S2
6b3o$4bobobobo$6bobo$4b2o3b2o$4bob3obo$6bobo$6bobo$6bobo$4b7o$2b2o2b3o
2b2o$bo11bo$bo4bobo4bo$5b5o$2bobo5bobo$2b2o7b2o$3b9o$2b3o5b3o$bobo7bo
bo$o3b7o3bo$7bo!

Code: Select all

x = 13, y = 20, rule = B34/S2
6bo$4b2ob2o$4bo3bo$3bob3obo$3bobobobo$3bo5bo$4bo3bo$4b2ob2o2$2b2o5b2o
$b4o3b4o$2o3bobo3b2o$4bo3bo2$b11o$4b5o$5b3o$4b5o$2obo5bob2o$6bo!

Code: Select all

x = 17, y = 18, rule = B34/S2
7b3o$6b5o$4bo7bo$7b3o$3b11o$3bo9bo$3b2o2b3o2b2o$3b4o3b4o$4b2o5b2o$5bo
5bo$3bo2bo3bo2bo$3b4o3b4o$b2ob3o3b3ob2o$2b2o3bobo3b2o$3bo9bo$4ob7ob4o
$4b3o3b3o$o4b2o3b2o4bo!

Code: Select all

x = 19, y = 24, rule = B34/S2
8b3o$6bobobobo$8bobo$6b2o3b2o$6bob3obo$8bobo$8bobo$8bobo$6b7o$4b2o2b3o
2b2o$2b2o11b2o$2bo5bobo5bo$2b2o2bobobobo2b2o$2bo2bobo3bobo2bo$2bo13bo
$3bo3bo3bo3bo$3bo2bo2bo2bo2bo$6bo5bo$2bo3bo5bo3bo$2ob3o7b3ob2o$o2bob2o
bobob2obo2bo$ob2ob4ob4ob2obo$3obo3bobo3bob3o$6b2o3b2o!

Code: Select all

x = 19, y = 23, rule = B34/S2
b5o7b5o$o5bo5bo5bo$7o5b7o2$2b3o9b3o$bo2bo9bo2bo$5bo7bo$2bobo9bobo$3b6o
b6o$6b2o3b2o$4bob7obo$3bo11bo$3bo4b3o4bo$4b2o7b2o$4bobo5bobo$6bo5bo$4b
ob2o3b2obo$5bob2ob2obo$3b3obo3bob3o$8bobo$4bo9bo$2b3obo5bob3o$7bo3bo!

Code: Select all

x = 21, y = 17, rule = B34/S2
5bo9bo$4b3o3bo3b3o$2bob2o2b2ob2o2b2obo$5bo2b2ob2o2bo$2bo4bo2bo2bo4bo$
3bo2b9o2bo$6b2o5b2o$4bo11bo$5bo2b2ob2o2bo$2b3ob4ob4ob3o$bo2bobo2bobo2b
obo2bo$5b2o7b2o$2o7b3o7b2o$2bo2b5ob5o2bo$b8o3b8o$b2o2b4o3b4o2b2o$o9bo
9bo!

[bismarckisbestgirl]

c/4 orthogonal spaceship:

Code: Select all

x = 24, y = 16, rule = B34/S2
6bobob4obobo$6b2obob2obob2o$6b2o8b2o$6b2o8b2o$6b5o2b5o$5bobo8bobo$7bo
8bo$8bo2b2o2bo$4b4o8b4o$2bobo3bo6bo3bobo$bo2bo3bo2b2o2bo3bo2bo$4bo4b2o
2b2o4bo$o2bo6b4o6bo2bo$2o4b2obo4bob2o4b2o$2bo5b2ob2ob2o5bo$8b2o4b2o!

Constructed from output from a 24x32 search grid for a c/4 orthogonal spaceship.

[bismarckisbestgirl]

Close c/6 orthogonal partial in B34/S26:

Code: Select all

x = 16, y = 31, rule = B34/S26
6bo2bo$6bo2bo$4b2ob2ob2o$4bobo2bobo$6bo2bo$6b4o$4b2o4b2o$5b2o2b2o$7b2o
$3bo8bo$b3o8b3o$obo10bobo$obo10bobo$bo5b2o5bo$3bobo4bobo$b2o3bo2bo3b2o
$obo2bo4bo2bobo$3o10b3o$2bo2b6o2bo$2b3ob4ob3o$4b3o2b3o$4bob4obo$4bobo
2bobo$3b4o2b4o$b14o$o2b10o2bo$3b2obo2bob2o$o2b2o6b2o2bo$2ob3o4b3ob2o$
bob2obo2bob2obo$o3b8o3bo!

[bismarckisbestgirl]

Partial 2c/6 ship in B3/S24:

Code: Select all

x = 16, y = 22, rule = B3/S24
5b6o$4b8o$3b10o$bobo8bobo$6b4o$3bob6obo$3b3o4b3o$4bo6bo$3b2o6b2o$4bo6b
o$3b2o6b2o$bobob6obobo$2o3bob2obo3b2o$3bo8bo$4bo6bo$5bo4bo$5b6o$4b2o4b
2o$3b2o6b2o$5bo4bo$ob3o2b2o2b3obo$o3b2o4b2o3bo!

Partial 2c/6 ship, a tagalong to two gliders, in B346/S2:

Code: Select all

x = 16, y = 22, rule = B346/S2
2bo10bo$ob2o8b2obo$2b3o6b3o2$3o10b3o$2bo10bo$2bo10bo$2bo10bo3$3b3o4b3o
$2bo2bo4bo2bo$2bo2bob2obo2bo$3b10o$4bo2b2o2bo$4bobo2bobo$3b10o$bobobo
4bobobo$5bo4bo$b14o$2o12b2o$4b3o2b3o!

[LaundryPizza03]

Close c/6 orthogonal partial in B34/S26:

Code: Select all

x = 16, y = 31, rule = B34/S26
6bo2bo$6bo2bo$4b2ob2ob2o$4bobo2bobo$6bo2bo$6b4o$4b2o4b2o$5b2o2b2o$7b2o
$3bo8bo$b3o8b3o$obo10bobo$obo10bobo$bo5b2o5bo$3bobo4bobo$b2o3bo2bo3b2o
$obo2bo4bo2bobo$3o10b3o$2bo2b6o2bo$2b3ob4ob3o$4b3o2b3o$4bob4obo$4bobo
2bobo$3b4o2b4o$b14o$o2b10o2bo$3b2obo2bob2o$o2b2o6b2o2bo$2ob3o4b3ob2o$
bob2obo2bob2obo$o3b8o3bo!

I had actually found one a few days ago, but didn't publish it:

Code: Select all

x = 15, y = 55, rule = B34/S26
6bobo$3bo3bo3bo$2bo3bobo3bo$bo2b2obob2o2bo$2bo2bo3bo2bo$3bo2b3o2bo$3bo
bo3bobo$3bobo3bobo$3bo3bo3bo$7bo$4b7o6$5b5o$5b5o$5bo3bo$b2o2b2ob2o2b2o
$obo9bobo$ob2obo3bob2obo$bobo7bobo$3bobo3bobo2$4bo5bo$4bo2bo2bo$6b3o$
5b5o$5bobobo$4b7o$4bo5bo$4bobobobo$3bo3bo3bo$4bo5bo$bobo7bobo$o3b2o3b
2o3bo$2obobo3bobob2o$2b2ob2ob2ob2o$6bobo$4bobobobo2$6bobo$7bo$6b3o$4bo
5bo$2b3o5b3o2$3b9o$7bo2$4bo2bo2bo$5b5o$6b3o$7bo!

I also found c/5o, c/4d, and c/7o:

Code: Select all

x = 12, y = 11, rule = B34/S26
bo8bo$bo8bo$obo6bobo$bob2o2b2obo$bobo4bobo$ob2ob2ob2obo$3bo4bo2$4b4o$
3bo4bo$4bo2bo!

Code: Select all

x = 20, y = 20, rule = B34/S26
8bo$9bobo3bo$6bobo2bo4b2o$5bo2bo3b2o2b2o$4b2o2bo6b2o$5bo2bo$7bo8b2o$3b
2o11bobo$2bo$2bo11bobo2bo$19bo$bo2bo8bo3bo$b3o9bobobo$13bo2bo$b3o3bo4b
ob2o$2b2o4bo2bobo$o3b2o3bob2o$o3b3obo$o3b4o$b2o!

Code: Select all

x = 18, y = 16, rule = B34/S26
b3o10b3o2$2b3o8b3o$5bo6bo$2bo2bo6bo2bo$3b2o8b2o$4b3o4b3o2$8b2o$bob2o2b
4o2b2obo$o2b4o4b4o2bo$ob2ob2o4b2ob2obo$bo3b8o3bo$6bo4bo$4b2o2b2o2b2o$
6b2o2b2o!

Several 2c/7o partials, at the probable maximum width I can handle with qfind:

Code: Select all

x = 51, y = 35, rule = B34/S26
b4o2bo2bo2b4o$b2o2b2o4b2o2b2o$3b2o8b2o6b3o3b3o3b3o$bo14bo5b2obo5bob2o$
b2o2bo2b2o2bo2b2o6bo9bo$3bobo2b2o2bobo8b2ob5ob2o$2bo2bo6bo2bo7b4obob4o
$2bo4bo2bo4bo8b2o5b2o$3bob2o4b2obo9b9o$4b2o6b2o7bo2bob2ob2obo2bo$5bo6b
o8bo2bo2b3o2bo2bo$o2b4o4b4o2bo3bo3b3ob3o3bo$obob10obobo7bobobobo$2b2o
3bo2bo3b2o5bobo9bobo$bobo2b2o2b2o2bobo6b3o5b3o$5b8o13b5o$b3o4b2o4b3o7b
2ob3ob2o8bo2bob2o$3bob2o4b2obo11b2ob2o10bo3bob3o$3o3b2o2b2o3b3o8bobobo
11b3ob3o$8b2o18bo14b7o$bo3b2o4b2o3bo28bob2o$2bo12bo7b4obob4o11bo2bo$3b
2o8b2o7bo4b3o4bo7b2o4bo$3b2ob6ob2o7bo2b2o3b2o2bo7bo$4b2o2b2o2b2o8b2o2b
2ob2o2b2o6bo2b2obo$22b2o9b2o7b2o$4bo3b2o3bo11b7o11b2o4bo$4b2o2b2o2b2o
7bo3bo5bo3bo7bo2b3o$4b2obo2bob2o9bo9bo12b2o$6b2o2b2o10bo11bo9bob4o$6b
2o2b2o9bo13bo8b3ob2o$4bob2o2b2obo7bo3bo5bo3bo10b3o$4b10o6b5o7b5o9bo3bo
$6b2o2b2o9b3o9b3o10bo3bo$8b2o12bo11bo12b3o!

I've found several new c/4d and c/5o ships in closely related OT rules; I'll publish them once I'm done.

Partial 2c/6 ship in B3/S24:

Code: Select all

x = 16, y = 22, rule = B3/S24
5b6o$4b8o$3b10o$bobo8bobo$6b4o$3bob6obo$3b3o4b3o$4bo6bo$3b2o6b2o$4bo6b
o$3b2o6b2o$bobob6obobo$2o3bob2obo3b2o$3bo8bo$4bo6bo$5bo4bo$5b6o$4b2o4b
2o$3b2o6b2o$5bo4bo$ob3o2b2o2b3obo$o3b2o4b2o3bo!

This rule is not closely related to the others in the presumed scope of this thread. You can share it somewhere else on this forum, likely Miscellaneous Discoveries in Other Cellular Automata, but note that 2c/6o aready exists in this rule:

Code: Select all

#C David Eppstein, c. 2000 (I don't know how to confirm the exact year)
x = 6, y = 5, rule = B3/S24
2b2o$b4o$b4o$ob2obo$o4bo!

[bismarckisbestgirl]

I'm impressed with the c/4 diagonal spaceship. It is in fact a glider.

c/4 diagonal travel being possible in B34/S26 implies that c/2 orthogonal travel is perhaps possible, but my searches have been inconclusive so far.

Edit: Also, my apologies for posting a partial from an extraneous outer-totalistic rule.

[bismarckisbestgirl]

B34/S23ai is an interesting isotropic non-totalistic rule similar to this.

Hexadecathlon:

Code: Select all

x = 6, y = 1, rule = B34/S23ai
6o!

Small spaceship:

Code: Select all

x = 7, y = 10, rule = B34/S23ai
3bo$2b3o$b5o2$bobobo$7o$2b3o$2bobo$2o3b2o$2o3b2o!

Pulsating oscillator:

Code: Select all

x = 7, y = 7, rule = B34/S23ai
3bo$2b3o$b5o$3ob3o$b5o$2b3o$3bo!

Pulsars interacting:

Code: Select all

x = 51, y = 31, rule = B34/S23ai
5$14bo$14bo$14bo20bo$35bo$9bobo2bo2bobo15bo$8bo2bo2bo2bo2bo$10bo3bo3b
o11bobo2bo2bobo$8b2o9b2o8bo2bo2bo2bo2bo$31bo3bo3bo$13bobo13b2o9b2o$4b
3ob3o7b3obo2bo$13bobo7bo2bo7bobo$24bo2bob3o7b3ob3o$8b2o9b2o13bobo$10b
o3bo3bo$8bo2bo2bo2bo2bo8b2o9b2o$9bobo2bo2bobo11bo3bo3bo$29bo2bo2bo2bo
2bo$14bo15bobo2bo2bobo$14bo$14bo20bo$35bo$35bo!

Promising 2c/6 orthogonal partial:
x = 14, y = 22, rule = B34/S23ai

Code: Select all

5bo2bo$4bo4bo$3bo6bo$2bo2b4o2bo$4bo4bo$bo2bo4bo2bo2$o2b2o4b2o2bo$b12o
$14o$b2o3b2o3b2o$3o8b3o$4b6o$2o2bo4bo2b2o$4bo4bo$4bo4bo$2b10o$2b10o$4b
2o2b2o$b2ob2o2b2ob2o$o2b3o2b3o2bo$4bo4bo!

[squareroot12621]

Does this include B34/S34? If so, I've collected p1, p2, p3, p4, p6, and p20 oscillators.

Code: Select all

#C ### OSCILLATORS ###
x = 53, y = 14, rule = B34/S34
2o7bo8bo7bo7b3o14bo$2o5b2ob2o14bo7bobo6b2o4b2o$8bobo6b3o5b3o5bobo6b2o
6b3o$8b3o22b3o14bo3$10b2o2$9b4o15bo18b3o$bo5bobo2bobo5bo7b2o7bobo7bob
o$3o4bobo2bobo5b3o4b2obo7b2o7b3o$bo7b4o6bo9b3o6bobo9b3o$21bo7bo20bobo
$10b2o38b3o!
[[ GPS 8 ZOOM 11 ]]
[[ COLOR BACKGROUND 128 0 0 ]]
[[ COLOR ALIVE 0 255 255 ]]
[[ COLOR DEAD 170 0 0 ]]
[[ LABELT 0 0 0 LABEL 0.5 -3 6 "p1" ]]
[[ LABEL 9 -3 6 "p2" ]]
[[ LABEL 20 -3 6 "p2 …" ]]
[[ LABEL 1 16 6 "p3" ]]
[[ LABEL 10.5 16 6 "p4" ]]
[[ LABEL 20.5 16 6 "p4" ]]
[[ LABEL 29 16 6 "p6" ]]
[[ LABEL 38.5 16 6 "p6" ]]
[[ LABEL 49.5 16 6 "p20" ]]

EDIT: I found some more oscillators, but I haven't bothered to list them here because it is not important. However, I am naming the ones I already have. They are, in order,

• block,
• short angel (I found a larger one—it was more recent),
• shuttlecock,
• T,
• slanted eight,
• Z,
• clock,
• pulsar,
• square (not to be confused with block),
• alien (from Lifeline),
• R-dance,
• two tails, and
• double traffic light.

[LaundryPizza03]

All known speeds in B34/S26. From left to right: 2 c/3o's, c/4o, c/5o, c/6o, c/7o, c/8o, c/4d, and c/6d.

Code: Select all

x = 126, y = 19, rule = B34/S26
3b3o4b3o5bobo12b2o2b2o12bo9b6o8b3o16b2o3bo18b3o$2bo3bo3bo2bo3bo3b2o8b
2o2b2o2b2o9b3o9b4o9bobo19bob2o17bo2bo$b2o3bo3bo2bo3bo2bobo10bo4bo10b5o
8b4o8b5o13b2o3bob3o16bobo$b3o6b3o4b5obo4bo3b8o3bo4bo2bo2bo5b3o2b3o21b
6o2bobo21bo$3obo6bo8b3o4bob2ob2o4b2ob2obo14bo2bo2bo2bo17bo3bobo3bo2bo
22bobo$bobo8bo6bob3o3bo2b4o4b4o2bo4bo3bo4bo4b2o4bo15bobo11bo23bobo$b2o
7b3o9b2o4bob2o2b4o2b2obo5b2ob2o4bo3bo2bo3bo15bo2bo8bobo25bo$19bo4bo10b
2o12bob3o4b2obo4bob2o13b2ob3o8bobo23b3o$20bo2bo24b2o3bo4bobo6bobo12bob
obo10b3o$22bo8b3o4b3o7b5o29bo$22b2o6b2o8b2o6b3o$21bo2bo4bo2bo6bo2bo5bo
34bobo11b2o$19bobo10bo6bo43b2o12bo$19b2o2bo5b3o8b3o41bo11bo$19bo3bo59b
3o6b5o$21bo6b3o10b3o39bobo5b4o$85bo2bo2b4obo$85bo2b6o$84bo5b4o!

[Ohhhhhhhhh]

Does this include B34/S34? If so, I've collected p1, p2, p3, p4, p6, and p20 oscillators.

Code: Select all

#C ### OSCILLATORS ###
x = 53, y = 14, rule = B34/S34
2o7bo8bo7bo7b3o14bo$2o5b2ob2o14bo7bobo6b2o4b2o$8bobo6b3o5b3o5bobo6b2o
6b3o$8b3o22b3o14bo3$10b2o2$9b4o15bo18b3o$bo5bobo2bobo5bo7b2o7bobo7bob
o$3o4bobo2bobo5b3o4b2obo7b2o7b3o$bo7b4o6bo9b3o6bobo9b3o$21bo7bo20bobo
$10b2o38b3o!
[[ GPS 8 ZOOM 11 ]]
[[ COLOR BACKGROUND 128 0 0 ]]
[[ COLOR ALIVE 0 255 255 ]]
[[ COLOR DEAD 170 0 0 ]]
[[ LABELT 0 0 0 LABEL 0.5 -3 6 "p1" ]]
[[ LABEL 9 -3 6 "p2" ]]
[[ LABEL 20 -3 6 "p2 …" ]]
[[ LABEL 1 16 6 "p3" ]]
[[ LABEL 10.5 16 6 "p4" ]]
[[ LABEL 20.5 16 6 "p4" ]]
[[ LABEL 29 16 6 "p6" ]]
[[ LABEL 38.5 16 6 "p6" ]]
[[ LABEL 49.5 16 6 "p20" ]]

EDIT: I found some more oscillators, but I haven't bothered to list them here because it is not important. However, I am naming the ones I already have. They are, in order,

• block,
• short angel (I found a larger one—it was more recent),
• shuttlecock,
• T,
• slanted eight,
• Z,
• clock,
• pulsar,
• square (not to be confused with block),
• alien (from Lifeline),
• R-dance,
• two tails, and
• double traffic light.

A way too late no. There is this thread for B34/S34 that you can just search '34 life' and it should pop out.

[hibiscus]

All known speeds in B34/S26. From left to right: 2 c/3o's, c/4o, c/5o, c/6o, c/7o, c/8o, c/4d, and c/6d.

Code: Select all

x = 126, y = 19, rule = B34/S26
3b3o4b3o5bobo12b2o2b2o12bo9b6o8b3o16b2o3bo18b3o$2bo3bo3bo2bo3bo3b2o8b
2o2b2o2b2o9b3o9b4o9bobo19bob2o17bo2bo$b2o3bo3bo2bo3bo2bobo10bo4bo10b5o
8b4o8b5o13b2o3bob3o16bobo$b3o6b3o4b5obo4bo3b8o3bo4bo2bo2bo5b3o2b3o21b
6o2bobo21bo$3obo6bo8b3o4bob2ob2o4b2ob2obo14bo2bo2bo2bo17bo3bobo3bo2bo
22bobo$bobo8bo6bob3o3bo2b4o4b4o2bo4bo3bo4bo4b2o4bo15bobo11bo23bobo$b2o
7b3o9b2o4bob2o2b4o2b2obo5b2ob2o4bo3bo2bo3bo15bo2bo8bobo25bo$19bo4bo10b
2o12bob3o4b2obo4bob2o13b2ob3o8bobo23b3o$20bo2bo24b2o3bo4bobo6bobo12bob
obo10b3o$22bo8b3o4b3o7b5o29bo$22b2o6b2o8b2o6b3o$21bo2bo4bo2bo6bo2bo5bo
34bobo11b2o$19bobo10bo6bo43b2o12bo$19b2o2bo5b3o8b3o41bo11bo$19bo3bo59b
3o6b5o$21bo6b3o10b3o39bobo5b4o$85bo2bo2b4obo$85bo2b6o$84bo5b4o!

Let's add c/5 diagonal to that repertoire.

Code: Select all

x = 46, y = 46, rule = B34/S26
38b3o2b3o$37bo3bobobo$38b2ob2ob2o$34bo2bobo2b2o$34bo4bo3b2o$32bo2b3o7b
o$36bo4b3obo$28bobo2bo2bo6bobo$27bo2bo3b4o2bobobo$29bob2o4b4o$32bo4bo
2bo$32b3o2bo3b2o$27bo2b5o3bo$27bo3b6o3bo$25bo2b2ob3o2bo$25bo2bo4bo3b2o
$21bo2bobo4bo4bo$19b3o2bobobob2o6bo$21b2o3bo5b2o3bo$19bobo5b3o$19bobo
8b2o$24bo3b2o$20bo$17bo2b3o4bo$12bob2o2bo2b2o2b5o$11bo2b2o6b2o4bo$14b
obobo6b2obo$13bo2bo2bobo$8b2o2b3ob2o4bo$6bo2b3o2b6o$7bobobo3b2o3b2o$9b
obobo2b2ob3o$5bo3bobob2o2b2o$4bo4bo2bo4bo3bo$3b2o8b4o3bo$2b2o3b2obo5b
o$b6o5b6o$b2ob2o4bo6bo$o4b2o3bo4bo$3bo3bobo6bo$b4o2b3o3bo$3b3o2b2ob2o
$3b4o2b3o$5bo2b3o$5bo2b2o$7bo!