Principally, patterns have either 0, 1, or 2 spatial rank, depending on whether or not they connect in space to other wrapped copies of themselves. "Connect" here meaning tracing connections between cells forward and backward in time for cells that either (a) birth more cells or (b) work together to suppress a could-have-been birth by "overpopulation" (4 or more neighbors of dead cell).

Rank 0 either has a movement or doesn't making it accordingly a "spaceship" or not, and then if not either has a non-1 period or not making it accordingly what a human might call an "oscillator" or "still life".

Rank 1 either has a movement perpendicular to its spatial dimension or not. Such movement would make it a "wave", otherwise a "wick", further categorized by period and by whether or not it repeats shifted before repeating unshifted (this I would call a "jump wick" maybe).

Rank 2 breaks down in similar fashion, "still life agar" for period 1, "jump agar" for repeating shifted before unshifted, and "agar" otherwise.

My guess is no one cares about any kind of still life or any kind of agar. For the others not as sure.

For "spaceship" I found only the glider and the LWSS.

For "oscillator" I found only a few p2 results which I assume are all known/uncared.

For "wave" there's a bunch of lightspeed "strings" which I think are generally known/uncared. There's also a few waves that are definitely known (like the very small c/2 one, one I would call (1, 1)c/2, etc), a few waves that are probably known (e.g. some c/3 small stuff), and this one (I would call c4/d) which I didn't immediately find anywhere in collections I have:

Code: Select all

```
x = 47, y = 44, rule = B3/S23
o4b2o$3obo$4bobo$6bo$4bo4b2o$4b3obo$8bobo$10bo$8bo4b2o$8b3obo$12bobo$
14bo$12bo4b2o$12b3obo$16bobo$18bo$16bo4b2o$16b3obo$20bobo$22bo$20bo4b
2o$20b3obo$24bobo$26bo$24bo4b2o$24b3obo$28bobo$30bo$28bo4b2o$28b3obo$
32bobo$34bo$32bo4b2o$32b3obo$36bobo$38bo$36bo4b2o$36b3obo$40bobo$42bo$
40bo4b2o$40b3obo$44bobo$46bo!
```

Code: Select all

```
x = 52, y = 22, rule = B3/S23
42bo2bo3bobo$40bobo3bo2bo$38bo2bo3bobo$36bobo3bo2bo$34bo2bo3bobo$32bob
o3bo2bo$30bo2bo3bobo$28bobo3bo2bo$26bo2bo3bobo$24bobo3bo2bo$22bo2bo3bo
bo$20bobo3bo2bo$18bo2bo3bobo$16bobo3bo2bo$14bo2bo3bobo$12bobo3bo2bo$
10bo2bo3bobo$8bobo3bo2bo$6bo2bo3bobo$4bobo3bo2bo$2bo2bo3bobo$obo3bo2bo
!
```

Code: Select all

```
x = 41, y = 33, rule = B3/S23
38bobo$31bob2o$30bo3b2o2bo$35bobo$28bob2o$27bo3b2o2bo$32bobo$25bob2o$
24bo3b2o2bo$29bobo$22bob2o$21bo3b2o2bo$26bobo$19bob2o$18bo3b2o2bo$23bo
bo$16bob2o$15bo3b2o2bo$20bobo$13bob2o$12bo3b2o2bo$17bobo$10bob2o$9bo3b
2o2bo$14bobo$7bob2o$6bo3b2o2bo$11bobo$4bob2o$3bo3b2o2bo$8bobo$bob2o$o
3b2o2bo!
```

Code: Select all

```
x = 203, y = 145, rule = B3/S23
66bo2bo$66bo$65bo$63bo$61bobo$60bo$60bo2bo$60bo$59bo$57bo$55bobo$54bo$
54bo2bo$54bo$53bo$51bo$49bobo$48bo94b2o3bo$48bo2bo86b2obo2bob2o$48bo
88bo3b2o$47bo92b2o3bo$45bo89b2obo2bob2o$43bobo88bo3b2o$42bo94b2o3bo$
42bo2bo86b2obo2bob2o$42bo88bo3b2o$41bo92b2o3bo$39bo89b2obo2bob2o$37bob
o88bo3b2o$36bo94b2o3bo$36bo2bo86b2obo2bob2o$36bo88bo3b2o$35bo92b2o3bo$
33bo89b2obo2bob2o$31bobo88bo3b2o$30bo94b2o3bo$30bo2bo86b2obo2bob2o$30b
o88bo3b2o$29bo92b2o3bo$27bo89b2obo2bob2o$25bobo88bo3b2o$24bo94b2o3bo$
24bo2bo86b2obo2bob2o$24bo88bo3b2o$23bo92b2o3bo$21bo89b2obo2bob2o$19bob
o88bo3b2o$18bo94b2o3bo$18bo2bo86b2obo2bob2o$18bo88bo3b2o$17bo$15bo$13b
obo$12bo$12bo2bo$12bo$11bo$9bo$7bobo$6bo$6bo2bo$6bo$5bo$3bo$bobo$o20$
192bo$190bo$181b2o2bob3o$185bo$183bo$174b2o2bob3o$65bo6b2o104bo$63bo2b
o3bo105bo$63b2obo100b2o2bob3o$61bo6b2o101bo$59bo2bo3bo102bo$59b2obo97b
2o2bob3o$57bo6b2o98bo$55bo2bo3bo99bo$55b2obo94b2o2bob3o$53bo6b2o95bo$
51bo2bo3bo96bo$51b2obo91b2o2bob3o$49bo6b2o92bo$47bo2bo3bo93bo$47b2obo
88b2o2bob3o$45bo6b2o89bo$43bo2bo3bo90bo$43b2obo85b2o2bob3o$41bo6b2o86b
o$39bo2bo3bo87bo$39b2obo82b2o2bob3o$37bo6b2o83bo$35bo2bo3bo84bo$35b2ob
o79b2o2bob3o$33bo6b2o80bo$31bo2bo3bo81bo$31b2obo76b2o2bob3o$29bo6b2o$
27bo2bo3bo$27b2obo$25bo6b2o$23bo2bo3bo$23b2obo11$179b3o2bo4bobo9b2o$
172b3o2bo4bobo9b2o$165b3o2bo4bobo9b2o$158b3o2bo4bobo9b2o$151b3o2bo4bob
o9b2o$144b3o2bo4bobo9b2o$137b3o2bo4bobo9b2o$130b3o2bo4bobo9b2o$123b3o
2bo4bobo9b2o$116b3o2bo4bobo9b2o$109b3o2bo4bobo9b2o!
```

Code: Select all

```
x = 56, y = 22, rule = B3/S23
43bo2b2o3bo2b2o$40b2o2b2o2b3o$39bo2b2o3bo2b2o$36b2o2b2o2b3o$35bo2b2o3b
o2b2o$32b2o2b2o2b3o$31bo2b2o3bo2b2o$28b2o2b2o2b3o$27bo2b2o3bo2b2o$24b
2o2b2o2b3o$23bo2b2o3bo2b2o$20b2o2b2o2b3o$19bo2b2o3bo2b2o$16b2o2b2o2b3o
$15bo2b2o3bo2b2o$12b2o2b2o2b3o$11bo2b2o3bo2b2o$8b2o2b2o2b3o$7bo2b2o3bo
2b2o$4b2o2b2o2b3o$3bo2b2o3bo2b2o$2o2b2o2b3o!
```

Code: Select all

```
x = 57, y = 48, rule = B3/S23
46b2o2b2o2bobo$40b2ob2o3b2o2bo$42b2o2b2o2bobo$36b2ob2o3b2o2bo$38b2o2b
2o2bobo$32b2ob2o3b2o2bo$34b2o2b2o2bobo$28b2ob2o3b2o2bo$30b2o2b2o2bobo$
24b2ob2o3b2o2bo$26b2o2b2o2bobo$20b2ob2o3b2o2bo$22b2o2b2o2bobo$16b2ob2o
3b2o2bo$18b2o2b2o2bobo$12b2ob2o3b2o2bo$14b2o2b2o2bobo$8b2ob2o3b2o2bo$
10b2o2b2o2bobo$4b2ob2o3b2o2bo$6b2o2b2o2bobo$2ob2o3b2o2bo5$45b3o2b2o2bo
bo$40b2o2bo3b2o2bo$41b3o2b2o2bobo$36b2o2bo3b2o2bo$37b3o2b2o2bobo$32b2o
2bo3b2o2bo$33b3o2b2o2bobo$28b2o2bo3b2o2bo$29b3o2b2o2bobo$24b2o2bo3b2o
2bo$25b3o2b2o2bobo$20b2o2bo3b2o2bo$21b3o2b2o2bobo$16b2o2bo3b2o2bo$17b
3o2b2o2bobo$12b2o2bo3b2o2bo$13b3o2b2o2bobo$8b2o2bo3b2o2bo$9b3o2b2o2bob
o$4b2o2bo3b2o2bo$5b3o2b2o2bobo$2o2bo3b2o2bo!
```

Code: Select all

```
x = 42, y = 33, rule = B3/S23
37bo2b2o$32bob4obo$30b2o2bo$34bo2b2o$29bob4obo$27b2o2bo$31bo2b2o$26bob
4obo$24b2o2bo$28bo2b2o$23bob4obo$21b2o2bo$25bo2b2o$20bob4obo$18b2o2bo$
22bo2b2o$17bob4obo$15b2o2bo$19bo2b2o$14bob4obo$12b2o2bo$16bo2b2o$11bob
4obo$9b2o2bo$13bo2b2o$8bob4obo$6b2o2bo$10bo2b2o$5bob4obo$3b2o2bo$7bo2b
2o$2bob4obo$2o2bo!
```

Code: Select all

```
x = 43, y = 33, rule = B3/S23
36bo4b2o$31bo5b3o$30b2o5bo$33bo4b2o$28bo5b3o$27b2o5bo$30bo4b2o$25bo5b
3o$24b2o5bo$27bo4b2o$22bo5b3o$21b2o5bo$24bo4b2o$19bo5b3o$18b2o5bo$21bo
4b2o$16bo5b3o$15b2o5bo$18bo4b2o$13bo5b3o$12b2o5bo$15bo4b2o$10bo5b3o$9b
2o5bo$12bo4b2o$7bo5b3o$6b2o5bo$9bo4b2o$4bo5b3o$3b2o5bo$6bo4b2o$bo5b3o$
2o5bo!
```

Code: Select all

```
x = 60, y = 55, rule = B3/S23
54bo2b3o$53b3obo$53bo$53bo$50bo$49bo2b3o$48b3obo$48bo$48bo$45bo$44bo2b
3o$43b3obo$43bo$43bo$40bo$39bo2b3o$38b3obo$38bo$38bo$35bo$34bo2b3o$33b
3obo$33bo$33bo$30bo$29bo2b3o$28b3obo$28bo$28bo$25bo$24bo2b3o$23b3obo$
23bo$23bo$20bo$19bo2b3o$18b3obo$18bo$18bo$15bo$14bo2b3o$13b3obo$13bo$
13bo$10bo$9bo2b3o$8b3obo$8bo$8bo$5bo$4bo2b3o$3b3obo$3bo$3bo$o!
```

Code: Select all

```
x = 33, y = 9, rule = B3/S23
2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o2$33o
4$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o!
```

Code: Select all

```
x = 119, y = 22, rule = B3/S23
88bo18bo9b2o$80bo17b3o7b2obo$80bo18bo9b2o$72bo17b3o7b2obo$72bo18bo9b2o
$64bo17b3o7b2obo$64bo18bo9b2o$56bo17b3o7b2obo$56bo18bo9b2o$48bo17b3o7b
2obo$48bo18bo9b2o$40bo17b3o7b2obo$40bo18bo9b2o$32bo17b3o7b2obo$32bo18b
o9b2o$24bo17b3o7b2obo$24bo18bo9b2o$16bo17b3o7b2obo$16bo18bo9b2o$8bo17b
3o7b2obo$8bo18bo9b2o$o17b3o7b2obo!
```