Smallest Spaceships Supporting Specific Speeds (5s) Project

[AforAmpere]

I'd assume they'd just be links, listed below/to the right of all the periods.

Can you make a test page to demonstrate what you mean?

[muzik]

I'd assume they'd just be links, listed below/to the right of all the periods.

Can you make a test page to demonstrate what you mean?

You mean how the links would be listed?

[AforAmpere]

You mean how the links would be listed?

Yeah, that might be useful, and then we can add in the other slope pages as needed.

[muzik]

For now I've appended a bunch of (currently red) links at the bottom of the main 5s hub.

[muzik]

Dumped all orthogonal and diagonal speeds below period 160 onto their respective pages. I'll dump the rest later on.

[AforAmpere]

Dumped all orthogonal and diagonal speeds below period 160 onto their respective pages. I'll dump the rest later on.

Nice job, but I just made it a bit easier, by posting most of the up-to-date ships in the format that can be directly pasted into the wiki tables, check the Drive folder. Does anyone want to help transfer those over? It should be fairly quick split up.

EDIT, 10c/13, 5 cells:

Code: Select all

x = 2, y = 5, rule = B2ac3ekry4acjkntz5ciky6ack7e/S1c2aik3nq4-ijknw5ejk6aci
bo$bo$o$bo$bo!

EDIT 2, (5,3)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2ce3-aen4acqrw5ainry6cei78/S12ik3ajqry4ikqtw5-ajq6akn8
bo2$bo$o!

(5,4)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2aci3ary4eijnqwz5jkq6ein8/S1c2ae3jnqr4-acir5aekq6i78
o$bo2$bo!

(6,3)c/13, 3 cells:

Code: Select all

x = 3, y = 5, rule = B2-ek3acny4aeqw5-ceij6en8/S02a3ceijr4eikr5acinr6ci7c
o2$2bo2$2bo!

(6,4)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2-ek3acn4aciy5anr6aci7/S1c2ai3acijq4ijrty5ejkr6-n7
o$bo2$bo!

(6,5)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2aci3aq4cnqy5-kq6n7e/S1c2ae3-anqr4cijnry5cjknr6cn7
o$bo2$bo!

(7,1)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2aci3ac4jwyz5cjqr6ckn7c/S1c2aek3ikny4ajny5cinry6ai7c
o$bo2$bo!

[muzik]

Why, exactly, are only outer-totalistic and iso-non-totalistic rules allowed again?

[AforAmpere]

Why, exactly, are only outer-totalistic and iso-non-totalistic rules allowed again?

Consistency, and the easiest for most people to run. I really don't want to add MAP rules, as they only allow one direction of travel in most cases, and the bounds on speed are weird. I also don't think LTL is a good thing to add, though I already had posted a limited database of R2 LTL ships somewhere. If you want to work an an LTL addon, like how Majestas32 is doing the B0 addon, that is fine by me, but I'd like to keep it consistent with what already exists.

[Majestas32]

Oh right yeah that b0 thing

[muzik]

Why, exactly, are only outer-totalistic and iso-non-totalistic rules allowed again?

Consistency, and the easiest for most people to run. I really don't want to add MAP rules, as they only allow one direction of travel in most cases, and the bounds on speed are weird. I also don't think LTL is a good thing to add, though I already had posted a limited database of R2 LTL ships somewhere. If you want to work an an LTL addon, like how Majestas32 is doing the B0 addon, that is fine by me, but I'd like to keep it consistent with what already exists.

The only addon I'm really eyeballing is ships allowed by the whole "range-extended outer-totalistic rules" thing that Adam mentioned exactly six months ago, however it would be simulated.

[AforAmpere]

(7,2)c/13:

Code: Select all

x = 2, y = 4, rule = B2aci3acn4acnwyz5ejkq6cei7e8/S1c2ae3cjy4aeiqt5-eiry6-k
o$bo2$bo!

(7,3)c/13:

Code: Select all

x = 2, y = 4, rule = B2-ek3cekq4ijnqry5aeknr6eik7c8/S12ek3-aij4ai5cnq6k78
bo$o2$o!

EDIT, (7,4)c/13:

Code: Select all

x = 2, y = 4, rule = B2aci3jn4ijknqwy5-acij6-e7e8/S12ck3-ciq4ein5enr6ac7e8
o$bo2$bo!

(7,5)c/13:

Code: Select all

x = 2, y = 4, rule = B2-ek3a4inqtyz5cijqy6k78/S1c2ain3-acjq4einqrz5-ejkq6ak7c8
o$bo2$bo!

3-cell 9c/13:

Code: Select all

x = 3, y = 3, rule = B2aci3ajn4akr5ikny6n/S01e2ak3aey4ajrtz5-kqy6cn
2bo$o$2bo!

4-cell (7,6)c/13:

Code: Select all

x = 3, y = 4, rule = B2ac3aenqr4aenw5ekry6cek/S1e2ikn3-ckn4acert5acq6ace8
2bo2$2bo$obo!

3-cell 9c/19:

Code: Select all

x = 3, y = 3, rule = B2-ai3-eikq4nqrw5cnqy6a/S02an3aeikq4ajknrt5ikry6k7c
2bo$o$2bo!

3-cell 9c/20:

Code: Select all

x = 2, y = 3, rule = B2cek3cekry4acejnrt5eijkq6ain7e/S12-cn3acinq4-aintw5-cej6ac7
bo$o$bo!

3-cell 8c/17:

Code: Select all

x = 3, y = 3, rule = B2-ai3-eijr4aijtwyz5-eij6ae7e/S01e2aik3-aejn4acjntwz5jr6cin7c
2bo$o$2bo!

4-cell 9c/11:

Code: Select all

x = 2, y = 7, rule = B2ack3ak4acin5cir6ack/S01e2ae3k4aijkqwy5-ajkr6ace7c8
bo2$o2$o2$bo!

3-cell (8,1)c/11:

Code: Select all

x = 3, y = 5, rule = B2-ek3ac4ainrz5ijy6-en7c8/S1e2ci3aikr4akqrz5cjnqr6-ae8
o2$2bo2$2bo!

3-cell (8,2)c/11:

Code: Select all

x = 2, y = 4, rule = B2aci3acnr4-jknrw5aejky6-ac7c/S12ai3jkqy4inqy5-ekr6-en7c
o$bo2$bo!

[muzik]

What script are you using to find these extremely low period oblique ships and stuff, anyway?

[AforAmpere]

LLS, it is pretty useful for this.

[AforAmpere]

(10,2)c/12, 7 cells:

Code: Select all

x = 3, y = 6, rule = B2acn3kr4aqrwz5ajkny6n7c8/S12ik3ijqy4-anrwy5ckqy6-ik7e
2bo2$2bo2$b2o$3o!

Can anyone find a (10,1)c/12? I can't seem to.

[ygh]

(4,1)c/19, 5 cells

Code: Select all

x = 3, y = 4, rule = B2eik3iry4i/S1e2ace4k5ey
2bo$2bo$2bo$obo!

[AforAmpere]

(8,1)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2-ek3an4-aejt5-eijk/S1c2-ce3jq4-cjwyz5cijqr6-ae7c
bo2$bo$o!

(8,2)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2aci3akry4intw5ikry6en7e8/S1c2n3-cry4-aqrty5cikqy6-kn78
o$bo2$bo!

11c/13, 15 cells:

Code: Select all

x = 4, y = 11, rule = B2aci3ejry4-cjkrz5ceinq6-n7e/S12ei3jnr4-cntwy5cnry6cei7c8
3bo2$b3o$o2bo2$b3o2$o2bo$b3o2$3bo!

EDIT, down to 12:

Code: Select all

x = 3, y = 11, rule = B2aci3jkr4-kqtw5-jk6i8/S02ae3aejr4cyz5ci6cei7e
2bo$obo$bo$2bo2$b2o2$2bo$bo$obo$2bo!

EDIT 2, down to 11:

Code: Select all

x = 3, y = 11, rule = B2-ek3jr4cejkrwz5-aijr6ci7e/S02ae3aekr4cijqr5-eikn6cei7e
2bo$obo$2bo2$2bo$o$2bo2$2bo$obo$2bo!

(10,1)c/12, 8 cells:

Code: Select all

x = 3, y = 6, rule = B2aci3acjkr4ejnqrwz5jkqr6-ci7e/S2ain3ajr4ejknt5cijn6-ci7e
bo$bo$2bo$3o$bo$2bo!

(8,3)c/13, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2-ek3cj4-aknrz5-cjn6c78/S12cik3-aiqr4aeknqty5ceikr6cek78
o$bo2$bo!

(8,4)c/13, 3 cells:

Code: Select all

x = 3, y = 4, rule = B2ack3q4acinq5-k6ei7e/S1e2ikn3-ejry4aikqrtz5acjky6ac78
2bo2$2bo$o!

(8,5)c/13, 4 cells:

Code: Select all

x = 4, y = 3, rule = B2ac3anr4acy5cejky6akn7c/S1e2ik3-ejy4aeqrw5-ei6ek7c8
3bo2$ob2o!

(9,1)c/13:

Code: Select all

x = 2, y = 4, rule = B2aci3acy4knrtwyz5-ei6-e/S1c2aei3eq4-cjkq5-aekn6i7e
o$bo2$bo!

(9,2)c/13:

Code: Select all

x = 3, y = 5, rule = B2-ek3n4-eknw5nqr6-ac/S1e2ekn3eiky4aejrtwy5ijny6ci8
o2$2bo2$2bo!

(9,3)c/13:

Code: Select all

x = 3, y = 5, rule = B2-ek3-acik4cjqtyz5eijk6aek7e8/S12cen3ajkry4acjkqy5-aekn6eik
o2$2bo2$2bo!

(9,4)c/13, 4 cells:

Code: Select all

x = 3, y = 4, rule = B2ac3ajny4acitwz5eiy6-cn7e/S01e2i3-ainq4ejkqtz5ejkq6eik7c
2bo$2bo$2bo$o!

10c/13, 4 cells:

Code: Select all

x = 3, y = 3, rule = B2ac3-aiqy4-aijwy5cnqy6ace8/S12ek3cknr4ceiqtyz5cjkny6ei78
obo$2bo$2bo!

(10,1)c/13, 4 cells:

Code: Select all

x = 3, y = 4, rule = B2-ek3acjn4ckr5cekry6ack/S2aen3iqr4-ciky5-ijk6ekn8
2bo$2bo2$obo!

(10,2)c/13, 4 cells:

Code: Select all

x = 2, y = 4, rule = B2ace3ny4-cjknz5aejy6c78/S1e2cei3nqr4-aekqw5ekqry6ce7
bo$bo$bo$o!

(10,3)c/13, 5 cells:

Code: Select all

x = 2, y = 6, rule = B2ac3aqy4acikqw5-knqy6ckn7c8/S01e2ck3jkr4eijkrw5-aeq6ik7c8
bo2$bo2$2o$bo!

I know nobody looks at this now, so I just store stuff in this post.

[wwei23]

The other c/2 with average population 3.5:

Code: Select all

x = 2, y = 3, rule = B2c3ae/S1c3e
bo$o$bo!

Wait there’s a third:

Code: Select all

x=2, y=3, rule=B2a3e/S1c2c3e
bo$2o$bo!

[2718281828]

d4 1c/44:

Code: Select all

x = 5, y = 4, rule = B2ek3aikq4aci5ak/S02e3aikr
o3bo$2bo2$o!

with 4 cells being a 3 cells spaceship plus a 1 cell still life.

[wwei23]

Code: Select all

x = 5, y = 2, rule = B2ek3aikq4aci5ak/S02e3aikr
o3bo$2bo!

Nice find, 2147483648.

[wildmyron]

d4 1c/44:

Code: Select all

x = 5, y = 4, rule = B2ek3aikq4aci5ak/S02e3aikr
o3bo$2bo2$o!

with 4 cells being a 3 cells spaceship plus a 1 cell still life.

This is indeed a nice little spaceship, but it doesn't beat the record which is 3 cells

Code: Select all

x = 6, y = 6, rule = B2-ai3c5ck/S02e4ai5e
o3$3bo2$5bo!

The 5S collection hosted on my Google Drive is a little out of date now, but it's still the most comprehensive reference.

Just to give you an idea, it has minimum 3 cell diagonal ships for most speeds 1c/P for 2<=P<=100, the exceptions being c/2 (4 cells), c/83 (4 cells), c/97 (no ship), and c/99 (5 cells).

[AforAmpere]

Bumping an old topic to post these:

13c/13, 3 cells:

Code: Select all

x = 2, y = 3, rule = B2aei3ekqy4eijktwz5ac6kn8/S2c3ceinq4ceijk5cij6ae
o$bo$bo!

14c/14, 3 cells:

Code: Select all

x = 2, y = 3, rule = B2-ck3ceqy4eiknwyz5ij6k7e/S2cin3qy4eityz5cenqr6a
o$bo$bo!

(6,3)c/14, 3 cells:

Code: Select all

x = 4, y = 2, rule = B2-ek3cer4ejknqw5-ajry6-c7e/S1c2cik3cjky4intw5-acei6k
o$bobo!

[LaundryPizza03]

Bump agin: I found an old post from August featuring a 10-cell 49c/98 ship:

Code: Select all

x = 7, y = 3, rule = B3aijnr4cejy5cy6ck7/S2aei3-kqy4et5i6cei78
2bo2bo$ob5o$2bo2bo!

EDIT: Corrected orientation per guidelines.

[AforAmpere]

The Drive folder has been updated with all of the ships since February, including that 49c/98, which I was surprised to find that there had been no other ships of that speed found.

[2718281828]

Some diagonal xc/2y ships:

- 11c/26 diagonal, B2ain3a4ikry5-ejqy6a7c/S02ce3ijkr4aijnz5aceij6e7c

Code: Select all

x = 3, y = 3, rule = B2ain3a4ikry5-ejqy6a7c/S02ce3ijkr4aijnz5aceij6e7c
o2$3o!

4 cells

- 10c/26 diagonal, B2ai3acky4iqry5cnq6e8/S02kn3-enqy4ajkrw5-acij6cek7e

Code: Select all

x = 3, y = 3, rule = B2ai3acky4iqry5cnq6e8/S02kn3-enqy4ajkrw5-acij6cek7e
o2$3o!

4 cells

- 11c/28 diagonal, B2ain3aen4arz5-ejkn/S02ce3airy4aejr5aeikr6ak7c

Code: Select all

x = 3, y = 3, rule = B2ain3aen4arz5-ejkn/S02ce3airy4aejr5aeikr6ak7c
obo$2bo$2bo!

4 cells

- 11c/28 diagonal, B2ain3a4qrt5-ejkn6-in7e/S02cek3-acjn4atw5-knqy6ei7c

Code: Select all

x = 3, y = 3, rule = B2ain3a4qrt5-ejkn6-in7e/S02cek3-acjn4atw5-knqy6ei7c
o2$3o!

4 cells

- 10c/28 diagonal, B2ai3akn4irz5acjky6-cn7c8/S02ce3ainry4-cijr5aeqr6aek7e

Code: Select all

x = 3, y = 3, rule = B2ai3akn4irz5acjky6-cn7c8/S02ce3ainry4-cijr5aeqr6aek7e
o2$3o!

4 cells

- 9c/28 diagonal, B2-an3aejq4jrwy5ac6a/S013eik4jnry5cinry6ac7c

Code: Select all

x = 3, y = 2, rule = B2-an3aejq4jrwy5ac6a/S013eik4jnry5cinry6ac7c
2bo$obo!

3 cells

- 9c/30 diagonal, B2ce3ai4krw5nry6cn/S12aek3inr4jnrz5-ijny6e

Code: Select all

x = 2, y = 3, rule = B2ce3ai4krw5nry6cn/S12aek3inr4jnrz5-ijny6e
bo2$2o!

3 cells

- 10c/36 diagonal, B2-an3ekqy4aqrz5cej6aek/S013aeqy4aceqryz5jkq6ak

Code: Select all

x = 3, y = 2, rule = B2-an3ekqy4aqrz5cej6aek/S013aeqy4aceqryz5jkq6ak
2bo$obo!

3 cells

- 11c/38 diagonal, B2-an3ekq4aikwy5cjkr6ae7c/S012an3eikq4eny5cjkry6ei

Code: Select all

x = 3, y = 2, rule = B2-an3ekq4aikwy5cjkr6ae7c/S012an3eikq4eny5cjkry6ei
2bo$obo!

3 cells

- 11c/42 diagonal, B2-an3acjqy4rwy5-ejry6cei8/S012k3ekny4ejnwz5jknq6ak7e8

Code: Select all

x = 3, y = 2, rule = B2-an3acjqy4rwy5-ejry6cei8/S012k3ekny4ejnwz5jknq6ak7e8
2bo$obo!

3 cells (the most fun one)

Edit1:
- 10c/30 diagonal, B2ai3aj4-cntyz5ai6ace7c/S02e3ijkry4ajnr5cjy6a

Code: Select all

x = 3, y = 3, rule = B2ai3aj4-cntyz5ai6ace7c/S02e3ijkry4ajnr5cjy6a
obo$2bo$2bo!

4 cells

- 11c/30 diagonal, B2ac3ack4an5cijkn6ae7c/S2-e3-einr4ajqr5airy6cik8

Code: Select all

x = 4, y = 3, rule = B2ac3ack4an5cijkn6ae7c/S2-e3-einr4ajqr5airy6cik8
2bo2$ob2o!

4 cells

[jimmyChen2013]

10cell 2c/274d

Code: Select all

x = 5, y = 5, rule = B2n34cw5cky6n/S2-i34ce5c6n
2bo$b3o$2o2bo$bobo$2bo!