Smallest Spaceships Supporting Specific Speeds (5s) Project

[AforAmpere]

Based on the structure of known B1e ships it seems unlikely for any non-orthogonal ships, I don't think any diagonal ships have been found right?

[praosylen]

I don't think any diagonal ships have been found right?

Until now:

Code: Select all

x = 4, y = 3, rule = B1e2c5/S3i4r567
obo$4o$4o!

[AforAmpere]

Did you just find that? How?

[praosylen]

Did you just find that? How?

It's not that hard to find these manually -- small mod-1 ships are relatively easy to construct by hand, if you don't choose which rule to use beforehand. Here's a slightly smaller one (possibly the smallest):

Code: Select all

x = 4, y = 3, rule = B1e2c7/S2a3r4ir5
obo$ob2o$4o!

[AforAmpere]

Do you think it is possible in Seeds, or a life-like rule? When I try to search Seeds with gfind-pt for high width for a p3 knightship, it instantly finishes.

[wildmyron]

Do you think it is possible in Seeds, or a life-like rule? When I try to search Seeds with gfind-pt for high width for a p3 knightship, it instantly finishes.

According to JLS, p3 knightships are impossible in B2/S, but not B2/S2. I can't imagine actually finding one though.

Here's a p5 photon (5c/5) from Eppstein's database:

Code: Select all

x = 7, y = 6, rule = B25/S
2bobo$o4bo$2bobobo$2bobobo$o4bo$2bobo!

[AforAmpere]

2c/23 diagonal:

Code: Select all

x = 5, y = 5, rule = B2n34cqz5ckny/S235ek
3bo$2b3o$bo2bo$2obo$b2o!

(2,1)c/11:

Code: Select all

x = 3, y = 3, rule = B3-y6ac/S23-ckq5cy
bo$b2o$2o!

4c/22 diagonal:

Code: Select all

x = 4, y = 3, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
o$3bo$2bo!

9c/33 orthogonal:

Code: Select all

x = 8, y = 15, rule = B2n34cqz5ckny/S235c
3o$bo3$4bo$2b2o2bo$2bo4bo$b3o3bo$2bo4bo$2b2o2bo$4bo3$bo$3o!

EDIT:
Better c/21 orthogonal:

Code: Select all

x = 2, y = 3, rule = B2e3-cjy4ai/S23cqr4
o$2o$o!

Better c/9 orthogonal:

Code: Select all

x = 2, y = 3, rule = B2ek3-cjy4ai/S23cqr4
o$2o$o!

(3,1)c/15

Code: Select all

x = 5, y = 7, rule = B2e3-cjy4aiq/S23aciqr4cejqt
bo$2b2o$4bo$4bo2$bo$o!

[muzik]

Will MAP rules and Generations rules be allowed in this collection?

[BlinkerSpawn]

Will MAP rules and Generations rules be allowed in this collection?

Pretty sure MAP rules would be a "no" considering you'd need a new one for each direction, but I don't see why Geenrations rules wouldn't be ok.

[muzik]

In which case, here are two 7-knightships:

c/17:

Code: Select all

x = 3, y = 4, rule = 2378/34578/4
2A$A.A$.BA$.2A!

c/66:

Code: Select all

x = 8, y = 9, rule = 23578/3568/4
6.2A$6.2A3$.2A.C$2ACA$AC.A$ABA$C2A!

[drc]

I'd say no on Generations, but it's getting harder and harder to motivate myself to update the collection. One day I'll get off my butt and do it, though.

[muzik]

Maybe you could use Generations as a sort of fallback option, os you can collect spaceships from it but only if there is no ship of that same speed and direction in a non-Generaions rule.

[muzik]

What about Larger than Life rules?

[toroidalet]

Of course, the problem is that then when one of those rules has a smaller ship, we end up using a suboptimal ship if the ships from one set of rules are prioritized over another set.
d4c54_2457

Code: Select all

x = 4, y = 3, rule = B2i36-k/S23
2b2o$o2bo$b3o!

dc22_1521

Code: Select all

x = 4, y = 3, rule = B2c3ajk4/S1c23
2obo$2bo$bo!

o12c36_25202w2

Code: Select all

x = 8, y = 3, rule = B2cek3-aij/S05e
bo$obobo2bo$bo!

[wwei23]

TINY c/2:

Code: Select all

x = 3, y = 2, rule = B2-a3/S2
bo$obo!

[drc]

TINY c/2:

Code: Select all

x = 3, y = 2, rule = B2-a3/S2
bo$obo!

...If you would have looked at the collection first, you would discover that there's a smaller average population c/2 there, pretty much the same thing but with one less cell in generation 1.

Code: Select all

x = 3, y = 2, rule = B2-ac3-a/S2
bo$obo!

PLEASE look at the collection.

[wwei23]

I was lucky enough to find a rule with TWO tiny spaceships of different speeds(B2-a3/S2a with 4c/12 flipper and c/4 not flipper).

[toroidalet]

I was lucky enough to find a rule with TWO tiny spaceships of different speeds(B2-a3/S2a with 4c/12 flipper and c/4 not flipper).

Most rules generally contain 1-2 natural ships or puffers that can be made into ships. I discovered many of them while trying to stabilize a rule or a puffer.
although, that 4c/12 is an improvement.

Code: Select all

x = 6, y = 4, rule = B2-a3/S2a
2bobo2$o4bo$4bo!

EDIT:
d2c50_86096y1e4

Code: Select all

x = 12, y = 4, rule = B34w/S2-n34i
3bo$bo2bo5bo$bo2bo5b2o$o2bo6bo!

[toroidalet]

bump+
o4c68_4ri1e4

Code: Select all

x = 6, y = 5, rule = B34ce5ny6n7e/S234ce
b3o$bo2bo$o4bo$bo2bo$b2o!

[toroidalet]

bump again
16c/40

Code: Select all

x = 16, y = 23, rule = B34t5c/S23-c
7bo$6bo$8bo$3b2o2b2o4b2o$3bo8bo2bo$3o4bo3b2ob2o$o5b2o5bo$o5bo$bo3bo$3b
2o4$3b2o$bo3bo$o5bo$o5b2o5bo$3o4bo3b2ob2o$3bo8bo2bo$3b2o2b2o4b2o$8bo$
6bo$7bo!

[AforAmpere]

I am working on compiling my own list, because this list is never updated

5 cell 3c/7:

Code: Select all

x = 3, y = 7, rule = B2-a3-i4jrt/S23-a
o$bo2$2bo2$bo$o!

9c/68 orthogonal:

Code: Select all

x = 13, y = 5, rule = B2ein3acein4einrz/S2-ci3-a4jqrtw5ijq
10bo$bo5b2o2bo$o6bo4bo$bo5b2o2bo$10bo!

22c/74 orthogonal:

Code: Select all

x = 35, y = 8, rule = B34n5y/S2-k34a
b3o16b3o$o2bo8b2o7b2o9bo$bo10b2o8b4obo4b2o$b3obo16bo2bo7b2o$b3obo16bo
2bo7b2o$bo10b2o8b4obo4b2o$o2bo8b2o7b2o9bo$b3o16b3o!

6c/18 orthgogonal:

Code: Select all

x = 7, y = 8, rule = B2ein3acein4einrz/S2-ck34qt
4bo$4b2o$5b2o3$o$2o$bo!

2c/13 diagonal:

Code: Select all

x = 5, y = 5, rule = B2ein3acein4r5i/S02-ck3
o$2bobo$b2o2$bo!

Better 2c/9 diagonal:

Code: Select all

x = 4, y = 4, rule = B2e3aein4einrz/S2-ci3-a4jknqr5ijq
3o$o2bo$obo$bo!

Best possible c/5 diagonal?

Code: Select all

x = 3, y = 3, rule = B2ein3acein4r5i/S02-ck3a
2bo2$obo!

2c/24 diagonal:

Code: Select all

x = 4, y = 4, rule = B2ein3acein4einrz/S2-ci3-a4jnqrtw5ijq
o$bo$ob2o$2bo!

C/46 diagonal:

Code: Select all

x = 6, y = 5, rule = B2-a3-i/S23-a4-aijqr
2bo$3bo$o4bo$5bo$3b2o!

EDIT, better C/10 diagonal, 4 cells:

Code: Select all

x = 5, y = 5, rule = B2-a/S03
2bo2$o$3bo$4bo!

[drc]

I am working on compiling my own list, because this list is never updated

If you would like to take over the project, you can post a download link and I'll put it in the topic. Currently I'm working on a different project, too.

[AforAmpere]

I'm working on compiling it now, is it okay if it is in text format, as a list though? I can attach text files of the spaceships to a post and update them occasionally. I do that because it is easier for me to list the specifics too, in this kind of format, with rule name and cell count:

Code: Select all

- 2c/13 diagonal, B2ein3acein4r5i/S02-ck3

x = 5, y = 5, rule = B2ein3acein4r5i/S02-ck3
o$2bobo$b2o2$bo!

6 cells

I will probably post here when I have finished putting several hundred speeds on it.

EDIT: Have any 5c/11 orthogonal ships been found?

[toroidalet]

I've given up the apgcode thing, no one really seems to be using it.
4c/17 orthogonal, 9 cells

Code: Select all

x = 4, y = 7, rule = B2i34n5r6i/S23
3bo$2b2o2$3o2$2b2o$3bo!

6c/39 diagonal, 7 cells

Code: Select all

x = 3, y = 3, rule = B3-y4ek5-eiy7e8/S23
3o$2o$o!

6c/12 orthogonal, 9 cells

Code: Select all

x = 6, y = 4, rule = B34k5-e/S234n
3b2o$2bo2bo$o4bo$3b3o!

2c/21 diagonal, 5 cells

Code: Select all

x = 3, y = 3, rule = B34e58/S234y
b2o$2o$o!

3c/22 orthogonal, 7 cells

Code: Select all

x = 4, y = 5, rule = B34ek5-ey7e8/S234z
o$3bo$2obo$3bo$o!

[AforAmpere]

Thanks, it will be a while before my list is complete enough to post here. I am making it in notepad, as a sort of list, with three sections, orthogonal, diagonal, and oblique. I think I have gotten all known non-B0 oblique ships, though. Tell me if I missed some. I'm not including stuff like Gemini or the Waterbear.