Smallest Spaceships Supporting Specific Speeds (5s) Project

[wildmyron]

http://www.conwaylife.com/wiki/LifeWiki ... ew/Slope_0

Shouldn't be too hard to find, given it's linked on the main 5s page.

Thanks, and whoops - I've been using an old link.

[AforAmpere]

Thanks for the help, wildmyron. I checked the permissions, and the files should still should be accessible. Here's a (27,2)c/80 ship that can probably be reduced by a better combination of parts:

(27,2)c/80, 34 cells:

Code: Select all

x = 50, y = 11, rule = B3aijry5cey6c7e8/S2-c3-aky4-ajkqw5-aiqy6cin78
5bo$3b3o$3bo28bo$30b3o$2bo27bo$b2o46bo$2o7bo38b2o$b3o6bo37b2o$7bo2bo
37b2o$7bob2o$7b2o!

[testitemqlstudop]

5-cell (7,1)c/8 - it was literally a half-minute LLS search!

Code: Select all

x = 5, y = 2, rule = B01c2-ai3ejkq4ajnqt5n6ek/S12ek3aekqy4knt5cjr6-ik
o2bo$2b3o!

[AforAmpere]

5-cell (7,1)c/8 - it was literally a half-minute LLS search!

Code: Select all

x = 5, y = 2, rule = B01c2-ai3ejkq4ajnqt5n6ek/S12ek3aekqy4knt5cjr6-ik
o2bo$2b3o!

That is cool, but the goal of finding a (7,1)c/8 is finding one in a non-B0 rule.I believe I found a 3-cell (7,1)c/8 before, but I don't know where I posted it.

[testitemqlstudop]

Ahgggg, fine. The wiki says "unknown" for (7,1)c/8, though.

[AforAmpere]

Ahgggg, fine. The wiki says "unknown" for (7,1)c/8, though.

B0 rules are separate from the others. Majestas was supposed to be updating it, but didn't, and I forgot about it. If you can find a (7,1)c/8 in a non-B0 rule, that would be a miracle.

EDIT, welp, no need to optimize the previous ship. Two transitions away is a 6-cell one:

(27,2)c/80, 6 cells:

Code: Select all

x = 4, y = 3, rule = B3aijry5cey6cn7e/S2-c3-aky4-ajkqw5-aiqy6cin78
b2o$2b2o$o2bo!

[Hdjensofjfnen]

What is the smallest period that has no ship of any slope supporting it?
EDIT: I can't believe c/26d isn't in the files:

Code: Select all

x = 7, y = 7, rule = B2e3-a4a/S1c2ci3
45bo2$44b3o2$42bo$40bobo$42bo!

[AforAmpere]

What is the smallest period that has no ship of any slope supporting it?
EDIT: I can't believe c/26d isn't in the files:

There is:

Code: Select all

x = 6, y = 2, rule = B2cen4ckntz5acjnq6c/S04i6k8
obo$5bo!

What files are you looking at?

[Hdjensofjfnen]

What is the smallest period that has no ship of any slope supporting it?
EDIT: I can't believe c/26d isn't in the files:

There is:

Code: Select all

x = 6, y = 2, rule = B2cen4ckntz5acjnq6c/S04i6k8
obo$5bo!

What files are you looking at?

Huh. Must have been an outdated Drive database, then. Can you provide the link to the updated one?

[AforAmpere]

Here are the files:
https://drive.google.com/drive/folders/ ... XE0ZGVSMzg

[Hdjensofjfnen]

Here are the files:
https://drive.google.com/drive/folders/ ... XE0ZGVSMzg

Oh, the speeds are sorted fastest to slowest. Thought it was the other way round.

[wildmyron]

Filling in some gaps in the diagonal speeds up to p27.

10c/23d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acnry4iktw5acq6ak/S02ai3-ijn4aeity5acq6ae7
2bo2$obo!

12c/24d, 4 cells

Code: Select all

x = 4, y = 4, rule = B2-ik3ce4qrw5a7c8/S1c2c3ciknq4aeiyz5cekr6ak7c
3bo2$3bo$obo!

10c/24d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ac4aikrz5ciknr6e/S01e2ce3aeiry4ainr5cy6ei7c
2bo2$obo!

9c/24d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ackry4cirtwyz5iry6ack8/S02aik3ackry4cyz5-eiry6a8
2bo2$obo!

11c/25d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ack4aenr5kny6-a8/S02ci3-nqy4ceijqrw6en7e8
2bo2$obo!

11c/26d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acky4irtw5jnr6kn78/S02ae3cjqry4qtyz5-enq6kn8
2bo2$obo!

10c/26d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2-ek3ay4ceijkqr5acn6e8/S02cen3air4qw5cjk6e
2bo2$obo!

13c/27d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ai3ackn4iry5kqr6k/S02aek3acjr4atwy5ckry6ae8
2bo2$obo!

12c/27d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ack4ir5knq6ekn8/S02aei3-eikq4actwy5kqy6cek8
2bo2$obo!

11c/27d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ai3ackny4-acj5ij6kn7c8/S02aen3cjnr4y5-ejnr6ei
2bo2$obo!

9c/27d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2aik3anr4acjqrwy6n8/S01e2e3aekr4ciqr5cir6ci7c
2bo2$obo!

All possible diagonal speeds with period <=27 in 2 state isotropic rules (without B0) now have an example ship with the minimum possible population.

[Hdjensofjfnen]

(4,0)c/12, 3 cells:

Code: Select all

x = 2, y = 4, rule = B2-a3ai/S01c
o2$o$bo!

[AforAmpere]

Thanks for those ships wildmyron, I’ll add them soon. How long did the searches take? Hdjen, please check the collection before posting. Please. wildmyron and I’ve asked every time, and you don’t seem to care.

[Hdjensofjfnen]

Thanks for those ships wildmyron, I’ll add them soon. How long did the searches take? Hdjen, please check the collection before posting. Please. wildmyron and I’ve asked every time, and you don’t seem to care.

It's in a simpler rule.
EDIT: Can't you see I'm trying to trim a couple bytes?

[wildmyron]

Thanks for those ships wildmyron, I’ll add them soon. How long did the searches take?

They ranged from 15s to about half an hour, though most of those longer ones could probably have found different results in a shorter time with slightly more restrictive conditions. I used the technique I described on the outrunning the glider thread.

These were all found with LLS. The shapes are mostly a function of the boundary conditions set up by the search. You can improve the search behaviour by using the make_lls_grid.py script. I used it for the 7c/22 and 7c/23 ships. As a bonus this reduces the search space and therefore improves the search speed considerably. Here's the command I used to find the 7c/23:

Code: Select all

./make_lls_grid.py -p 23 -x 7 -y 7 -f 3 3 5 5 | ./lls -r pB2-ace3aijn4-r5-n678/S0
2ae3jnr4-k5678 -i -s 'D2\'

This took about 15 seconds to run, most of which was in preprocessing.

A few notes:

• I've been using the latest develop version of lls which uses some different arguments for period, symmetries, and population constraints. I have a feeling the resulting SAT problems can be solved faster in some instances, but I'm not sure if it was due to differences in the two systems I was testing on.
• The '-f' option to make_lls_grid.py is less useful at higher period because it rejects some solutions with backward travelling sparks, and they seem to be the most common type.
• I used population constraints to reject subperiodic solutions where necessary

Edit: I forgot to mention that I'm also experimenting with glide reflective symmetry

[wildmyron]

Some more diagonal spaceships, filling the gaps in the database. Up to p28 diagonal is now complete.

14c/28d, 4 cells

Code: Select all

x = 3, y = 3, rule = B2ac3kqry4ejn5k6a/S1e2n3aikry4aqry5nr6ace7c
2bo$2bo$obo!

13c/28d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3-cijr4-aijtw5ikqy6-a7c8/S02e3air4jrtw5acir6ei7c
2bo2$obo!

11c/28d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3-eijq4cijqrz5i6k7c8/S02ai3ackr4jktwy5ackr8
2bo2$obo!

10c/28d, 3 cells

Code: Select all

x = 3, y = 4, rule = B2ain3acr4int5acin6cek7e/S01e2ei3eqy4aeijqy5-eijk6cik
obo3$2bo!

9c/28d, 3 cells

Code: Select all

x = 4, y = 4, rule = B2-an3acekq4aknqwz5acky8/S02cen3cej4ajknwy5ekn6acn8
3bo2$2bo$o!

14c/29d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acr4aqry5aijq6n8/S02cei3aceir4jrwy5ciknr6ae7c8
2bo2$obo!

15c/30d, 4 cells

Code: Select all

x = 4, y = 2, rule = B2aci3cekny4ei5ackr6ck7/S012ac3cnr4ikny5jr
ob2o$bo!

Edit: fixed 11c/28

[Gamedziner]

Some more diagonal spaceships, filling the gaps in the database. Up to p28 diagonal is now complete.
11c/28d, 3 cells

Code: Select all

RLE

That's a blinker.

[wildmyron]

Some more diagonal spaceships, filling the gaps in the database. Up to p28 diagonal is now complete.
11c/28d, 3 cells

Code: Select all

RLE

That's a blinker.

Drat, I fluffed an edit to the post. I'll fix it tomorrow.

Edit: Found the actual RLE for that ship. Thanks for letting me know.

Edit 2: A few more to round out the gaps in p29, and a few others. Search times are getting longer. Some of the fast ships can still be found in under 10 minutes, but the ones around c/3 are taking 2-3 hours or longer. I am mostly searching with a 6x6 grid using make_lls_grid.py. I am considering modifying it to create a diagonal channel in place of a square grid which moves diagonally. I've also started running a random rule search which is the source of most of the P>30 ships.

13c/29d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ack4ikrw5ir6ck8/S02ae3-eikq4cqty5acky6cei7c
2bo2$obo!

12c/29d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acqry4eijk5a7c8/S02-ck3aky4ac5in6ei
2bo2$obo!

10c/29d, ? cells
- still waiting for the search to finish


14c/30d, 4 cells

Code: Select all

x = 4, y = 4, rule = B2ain3ackr4eijkrw5cnry6e/S02aei3-ciky4jt5cnry6e7e
o$3bo2$bobo!

12c/30d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ack4aeqrw5aijq6en/S02cei3aceir4rwy5cir6ae7c8
2bo2$obo!

11c/30d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acr4aeqrwy5aiq6an/S02cei3acir4jkry5ciknr6ae7c8
2bo2$obo!

15c/31d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2aei3eqry4knrw5acin8/S02cn3cjknr4cikqy5acei6-ac7
2bo2$obo!

11c/31d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acr4acqrwy5aiq6n7c/S02cei3aciry4kry5cinr6aek7c8
2bo2$obo!

16c/32d, 5 cells

Code: Select all

x = 3, y = 3, rule = B2aei3e4knqrw5aci8/S2ckn3cjknr4ijkqy5aceiy6ekn7
2bo$2bo$3o!

12c/32d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3acr4aiqr5aijq6n/S02cei3acijr4kry5cinr6ae7c8
2bo2$obo!

10c/32d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ack4aqr5aiqy6en8/S02-ak3acir4ry5cinr6ae7c8
2bo2$obo!

16c/33d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ai3ackn4eijr5kry6k7c/S02-ci3ajry4akt5kry6-ck7c
2bo2$obo!

11c/37d, 3 cells

Code: Select all

x = 3, y = 3, rule = B2ain3ack4aeqrwz5aiq6en/S02-ak3acir4rwy5cinr6ae7c8
2bo2$obo!

17c/43d, 4 cells

Code: Select all

x = 4, y = 4, rule = B2aen3cer4knrtw5acij6n8/S2cn3cjkr4ikyz5acei6ekn7
bo$2o2$3bo!

11c/43d, 5 cells

Code: Select all

x = 3, y = 3, rule = B2aen3ce4-aeijz5aci8/S2ckn3cjkr4cijky5aceij6ekn7
2bo$2bo$3o!

Edit 3:Fixed 13c/29d and added 14c/30d, 12c/30d, and 11c/30d. 10c/29d is now the only missing diagonal speed up to P30. I have two separate LLS searches running with different parameters, they've both been going for days. 14c/30d and 10c/30d are the only other speeds with P<=30 which don't have an optimal minimum population ship.

[wildmyron]

Previous post was beginning to become a mess of edits.

First off, apologies to 2718281828, I seem to have forgotten about the ships posted in January. I've made an update to the collections and where my recent results duplicated yours I put your results in. Several of the 4-cell ships have been superseded by 3-cell ships posted above. Your glide reflective ships are quite different to mine. May I ask how you are generating your LLS input files - is it via a script or hand edit to force the glide reflection?

As mentioned, I've update the files including all ships posted here since 1st of January. I've also added a collection of results from some random rule searches focused on high period diagonal ships.

Here are the new and updated ships (not already posted above) in sss format:

Code: Select all

# New speeds
3, B2ain3ack4aeqrw5aijq6en/S02cei3aceir4rwy5cir6ae7c8, 12, 12, 30, 2bo2$obo!
3, B2-an3aceq4aqty5ackq6a8/S02cen3cejn4-eikqz5ekn6c7e, 9, 9, 31, 3bo2$2bo$o!
3, B2ain3acr4acnqrt5aiq6en8/S02-ak3aceir4cry5cinr6ae7c8, 12, 12, 33, 2bo2$obo!
3, B2ain3ack4anqr5aikq6aen/S02-ak3acir4krwyz5cinr6ae7c8, 10, 10, 33, 2bo2$obo!
3, B2-an3ace4aq5ackq6n8/S02-ai3cejn4ajkrtwy5eny6ckn, 8, 8, 33, 3bo2$2bo$o!
3, B2ain3acr4aiqr5aiq6n8/S02-ak3aceir4cry5cinr6ae7c8, 11, 11, 34, 2bo2$obo!
3, B2-an3aceq4aq5ackn8/S02-ai3cejn4-einqz5ekn6c, 11, 11, 35, 3bo2$2bo$o!
3, B2-an3acek4aiq5ackq6k8/S02-ai3cejq4ajntwy5einy6c, 10, 10, 35, 3bo2$2bo$o!
3, B2-an3acek4ainq5acik6n8/S02cen3cejn4ajkwy5eny6ack, 9, 9, 35, 3bo2$2bo$o!
3, B2ain3acr4aiqrw5aiq6cen7c/S02cei3-ejkn4kry5cikr6ae7c8, 13, 13, 37, 2bo2$obo!
3, B2-an3aey4ainq5acik8/S02-ak3cejn4ajktwy5en6cei, 12, 12, 37, 3bo2$2bo$o!
3, B2-an3ace4aq5ack6n8/S02cen3cejn4ajkrwy5en6c8, 10, 10, 37, 3bo2$2bo$o!
3, B2-an3aek4aqwz5acjk6kn8/S02cen3cej4ajktwy5en6cen, 12, 12, 38, 3bo2$2bo$o!
3, B2-an3acekq4aqt5ackr8/S02cen3cejn4ajrtwyz5en6cn, 10, 10, 39, 3bo2$2bo$o!
3, B2-an3ae4aiq5ack6n8/S02cen3cejnq4ajkwy5en6ace8, 13, 13, 40, 3bo2$2bo$o!
3, B2-an3aeq4aqw5ack6en8/S02cen3cej4acjknwy5einqy6ck7e8, 12, 12, 40, 3bo2$2bo$o!
3, B2-an3aek4akq5ackq8/S02cen3cej4ajktwy5en6ce, 10, 10, 41, 3bo2$2bo$o!
3, B2-a3aey4akqty5acikn6e8/S02-ai3cejr4-ceiqt5en6ck8, 9, 9, 41, 3bo2$2bo$o!
3, B2-an3aeq4aq5ackn8/S02cen3cejn4ajrtwy5eknq6cn, 12, 12, 43, 3bo2$2bo$o!
6, B2-an3aceq4aq5aciky8/S02cen3cejn4ajkwy5en6cn, 12, 12, 44, 2bo$bobo$o$bobo!
3, B2-an3aek4ainqtw5ack6a8/S02cen3cej4ajkrtwy5en6c, 12, 12, 45, 3bo2$2bo$o!
3, B2ain3acry4aeqr5aijq6n/S02-ak3-knq4jrtyz5-aejq6ae7c8, 10, 10, 45, 2bo2$obo!
3, B2-a3aeq4akqtwyz5cik6aek8/S02-ak3cejr4ajknwy5en6cn, 9, 9, 45, 3bo2$2bo$o!
3, B2-an3aeqy4aqt5ackr6n8/S02cen3cejn4ajkntwy5ekn6aci, 15, 15, 46, 3bo2$2bo$o!
3, B2-an3aey4aqt5acky6n8/S02cen3cejn4ajktwy5ekn6cn, 15, 15, 47, 3bo2$2bo$o!
3, B2-an3ae4aqwz5aciky6ckn8/S02cen3cej4ajktwy5einq6cek7e8, 16, 16, 49, 3bo2$2bo$o!
3, B2-an3aceq4aq5ack6n8/S02-ak3cejn4ajkrtwy5en6c8, 14, 14, 49, 3bo2$2bo$o!
3, B2-a3aek4aiq5ackq8/S02-ak3cej4ajknwy5eny6c, 11, 11, 49, 3bo2$2bo$o!
3, B2-an3ae4aiq5ackr8/S02cen3cejn4-ceiqz5en6ac8, 16, 16, 50, 3bo2$2bo$o!
3, B2-a3aeqy4akqt5ack6e8/S02-ak3cej4ajkwy5eikn6cen, 16, 16, 51, 3bo2$2bo$o!
3, B2-an3aeq4aiq5-ejny6n8/S02cen3cejn4ajktwyz5en6ace8, 15, 15, 51, 3bo2$2bo$o!
3, B2-an3ae4aknq5-eiqr6k8/S02-ai3cejn4ajktwy5ekn6ace, 14, 14, 51, 3bo2$2bo$o!
3, B2-an3aeq4anqw5acik6ckn8/S02-ak3cej4ajkntwy5ekny6-ak8, 13, 13, 51, 3bo2$2bo$o!
3, B2-an3aekq4akq5ackq8/S02cen3cejn4ajtwy5en6ce8, 12, 12, 51, 3bo2$2bo$o!
3, B2-an3aey4aiq5acik8/S02cen3cejn4ajkrtwy5en6aci8, 17, 17, 53, 3bo2$2bo$o!
3, B2-an3ace4aiqz5ackn7e8/S02-ai3cej4acjktwy5eny6ci, 12, 12, 55, 3bo2$2bo$o!
3, B2-an3ae4anq5acikn6c8/S02cen3cejnq4ajkrtwy5ein6c, 9, 9, 55, 3bo2$2bo$o!
3, B2-a3acek4aqwy5acknq6e8/S02cen3cejr4ajrwy5eknq6acn8, 13, 13, 59, 3bo2$2bo$o!
3, B2-an3acekq4aqt5-einq6ac8/S02cen3cejnq4-ceiqr5eny6cek8, 11, 11, 59, 3bo2$2bo$o!
3, B2-an3aeq4aiq5ackn6en8/S02cen3cejn4ajknwy5ekn6ac, 8, 8, 65, 3bo2$2bo$o!
3, B2-an3ace4ainqt5acknq6ik8/S02-ak3cej4ajnrwy5en6ck, 13, 13, 67, 3bo2$2bo$o!
3, B2-an3aceq4aknqy5acek6a8/S02cen3cejnq4acjrtwy5einq6cn7e, 9, 9, 67, 3bo2$2bo$o!
3, B2-a3aey4akqz5acik6ae8/S02-a3cejr4acjntwy5eikn6-i8, 18, 18, 69, 3bo2$2bo$o!
3, B2-an3acek4akqy5acejk8/S02-ai3cejq4ajtwy5ein6ce, 13, 13, 69, 3bo2$2bo$o!
3, B2-an3aceq4aiqy5-ejq6ak8/S02cen3cejn4ajktwyz5eny6cn8, 12, 12, 73, 3bo2$2bo$o!
3, B2-a3ace4aiq5acijk6ac8/S02-ai3cejn4ajkrtwy5eikn6c8, 8, 8, 73, 3bo2$2bo$o!
3, B2-an3ace4akq5ack6aen8/S02-ak3cejn4ajkwy5eny6ce8, 5, 5, 73, 3bo2$2bo$o!
3, B2-an3aekq4aqty5ackr6ak8/S02-ak3cejn4ajnwy5ein6ace, 9, 9, 75, 3bo2$2bo$o!
3, B2-an3acekq4akqtwy5aceky6ce8/S02cen3cejnr4ajkwy5ekny6cei, 9, 9, 77, 3bo2$2bo$o!
3, B2-an3aey4aiq5ackq6e8/S02-ai3cej4acjkrwy5en6-ai, 10, 10, 79, 3bo2$2bo$o!
3, B2-an3ae4aiqtw5-ijnr6ik8/S02cen3cejn4ajnrtwy5ekny6cik8, 14, 14, 87, 3bo2$2bo$o!
3, B2-an3aey4akq5ack6ck8/S02cen3cejn4acjnwy5eny6cei7e, 12, 12, 87, 3bo2$2bo$o!
3, B2-an3aceky4aqw5ack8/S02cen3cej4ajtwyz5ekn6-ak7e, 11, 11, 87, 3bo2$2bo$o!
3, B2-a3aeq4aikq5ck8/S02-ak3cejqr4ajkntwy5enq6-ae, 8, 8, 87, 3bo2$2bo$o!
3, B2-an3-ijnr4aqy5ackny8/S02cen3cej4ajntwyz5ein6ace7e, 6, 6, 89, 3bo2$2bo$o!
3, B2-an3aeky4aq5ackr6akn8/S02cen3cejn4-einqr5ekny6-kn, 15, 15, 91, 3bo2$2bo$o!
3, B2-an3ace4aiqty5aciky6en7e8/S02-ai3cej4ajkwy5ekn6-ai, 9, 9, 91, 3bo2$2bo$o!
3, B2-an3aey4aqy5acknq8/S02-ak3cej4ajrtwy5eny6acn8, 5, 5, 95, 3bo2$2bo$o!
3, B2-an3aeq4anqty5aciky6c8/S02-ak3cejnq4ajkntwy5ekn6cin, 8, 8, 97, 3bo2$2bo$o!
3, B2-a3ae4anqt5-jnry6ck8/S02-ak3cej4ajnwy5en6c7e, 5, 5, 99, 3bo2$2bo$o!
3, B2-an3ace4aqty5aceky6ck8/S02-ai3cej4ajkntwy5ekn6c, 8, 8, 103, 3bo2$2bo$o!
3, B2-an3-ijnr4aiqtw5ackn8/S02-ai3cejn4ajkntwy5en6ac7e, 7, 7, 103, 3bo2$2bo$o!
3, B2-an3aeqy4aqwy5acknq6ai8/S02cen3cejn4acjrwyz5en6cek, 6, 6, 105, 3bo2$2bo$o!
3, B2-an3ae4aqt5ack6kn8/S02-a3cejn4ajktwy5eny6c7e, 6, 6, 117, 3bo2$2bo$o!
3, B2-an3aek4ainq5-enry6a8/S02cen3cej4-ceiqr5ekny6ce8, 15, 15, 119, 3bo2$2bo$o!
3, B2-an3aeq4aikqwz5-enry6c8/S02cen3cej4acjwy5enq6cn7e, 8, 8, 131, 3bo2$2bo$o!
3, B2-an3ae4aqw5acknq6n8/S02cen3cejn4ajrtwy5ein6cn7e, 1, 1, 131, 3bo2$2bo$o!
3, B2-an3ae4aiqty5acky6n8/S02cen3cejn4ajknrwy5en6cik8, 4, 4, 147, 3bo2$2bo$o!
3, B2-an3ace4anqtwz5-jqry6c8/S02-ak3cejn4acjtwy5en6cen, 12, 12, 151, 3bo2$2bo$o!
3, B2-an3aeq4akqy5cjk6ik8/S02-a3cejnr4ajkwy5einy6ckn, 11, 11, 169, 3bo2$2bo$o!
3, B2-an3aceq4akqtw5aciky6ce8/S02cen3cejn4ajrwyz5ein6-n, 7, 7, 171, 3bo2$2bo$o!

# Updated speeds
3, B2ain3acr4aeqrwy5aiq6an/S02cei3acir4jkry5ciknr6ae7c8, 11, 11, 30, 2bo2$obo!
3, B2-an3ace4aqwz5-inqy8/S02-ai3cej4ajnwy5en6ce, 7, 7, 33, 3bo2$2bo$o!
3, B2-an3aeq4aq5ackn6ac8/S02-ai3cejn4ajknwy5ekn6cin, 8, 8, 35, 3bo2$2bo$o!
3, B2-an3aceky4aq5-ejn6kn8/S02cen3cejr4ajwy5en6-ai, 6, 6, 35, 3bo2$2bo$o!
3, B2-an3ace4aiqtw5acky8/S02cen3cej4ajkwy5eny6c, 9, 9, 37, 3bo2$2bo$o!
3, B2-an3aeq4anq5ack8/S02cen3cejn4ajkwyz5ein6cen7e8, 8, 8, 37, 3bo2$2bo$o!
3, B2-an3ae4aq5ackq6ek8/S02cen3cejnr4ajwy5eikn6c, 7, 7, 37, 3bo2$2bo$o!
3, B2-an3aeky4anqy5acekq6ai8/S02-ai3cejr4ajkrtwy5ekn6ac, 6, 6, 37, 3bo2$2bo$o!
3, B2-an3ae4anqt5acknr6ae8/S02cen3cej4ajknrwy5ekn6c, 8, 8, 39, 3bo2$2bo$o!
3, B2-an3aceq4aqt5ack6a8/S02-a3cej4ajkwy5en6cn8, 7, 7, 39, 3bo2$2bo$o!
3, B2-an3aey4aqw5ackq6k8/S02-ai3cejn4ajtwy5eny6c, 6, 6, 39, 3bo2$2bo$o!
3, B2ain3ack4aqrw5aijqy6cn8/S02cei3acir4kry5cinr6-cn7c8, 9, 9, 39, 2bo2$obo!
3, B2-an3aeq4anqz5acijk6n8/S02-ai3cejn4ajkwy5en6ac, 11, 11, 40, 3bo2$2bo$o!
3, B2ain3acky4aqr5aiq6n/S02cei3acijr4ckrtyz5cin6ae7c8, 8, 8, 41, 2bo2$obo!
3, B2-an3acek4aqz5acik8/S02cen3cej4ajrtwy5eikn6-ik8, 7, 7, 41, 3bo2$2bo$o!
3, B2-an3aeky4aq5ackqy8/S02cen3cej4ajkntwy5eikn6ac8, 6, 6, 41, 3bo2$2bo$o!
3, B2-an3aek4akqtwyz5ackn6e8/S02cen3cej4ajktwy5en6-ik, 13, 13, 42, 3bo2$2bo$o!
3, B2-an3aceqy4aknqy5ackq7e8/S02cen3cejnq4ajnwy5eny6ce8, 11, 11, 43, 3bo2$2bo$o!
3, B2-an3acek4aknqw5ackq6ai8/S02-ai3cejqr4ajnwy5enqy6ac7e, 10, 10, 43, 3bo2$2bo$o!
3, B2-an3aeq4aq5-enqy6cen8/S02cen3cej4acjkwy5ekny6c, 9, 9, 43, 3bo2$2bo$o!
3, B2-an3ace4anqz5ackqy6ac8/S02cen3cejnr4ajwy5ekn6c7e, 8, 8, 43, 3bo2$2bo$o!
3, B2-an3aeq4anq5ack6ck8/S02cen3cejn4ajkntwy5eikn6ace7e, 7, 7, 43, 3bo2$2bo$o!
3, B2-an3aeky4aqtw5ackq8/S02-ak3cejn4ajwyz5en6c7e, 5, 5, 43, 3bo2$2bo$o!
3, B2-a3aeky4aknq5ack8/S02cen3cej4ajknrwy5ein6c7e8, 11, 11, 44, 3bo2$2bo$o!
3, B2-an3ace4aikqtwy5acjkn6a8/S02-ai3cej4ajkrtwy5ekn6ac, 11, 11, 45, 3bo2$2bo$o!
3, B2-an3ae4aiqwz5ackq8/S02cen3cej4ajktwy5en6c, 8, 8, 45, 3bo2$2bo$o!
3, B2-an3ace4aikq5acknq8/S02cen3cejn4ajknwy5enq6ac, 7, 7, 45, 3bo2$2bo$o!
3, B2-an3ace4ainq5ackr6a8/S02cen3cejnq4ajnwy5en6ce, 5, 5, 45, 3bo2$2bo$o!
3, B2-a3aek4aiqtwy5-iqry6e8/S02cen3cej4ajwy5eikn6-in8, 11, 11, 46, 3bo2$2bo$o!
3, B2-an3aek4akqt5acikq6i8/S02-ai3cejr4acjktwy5ekn6cen, 11, 11, 47, 3bo2$2bo$o!
3, B2-an3aeq4anqyz5acjkn6k8/S02cen3cej4ajknrwy5en6c, 10, 10, 47, 3bo2$2bo$o!
3, B2-an3aceq4aikqtw5ack6ce8/S02-ak3cej4acjkwy5eny6cn, 9, 9, 47, 3bo2$2bo$o!
3, B2-an3ae4anq5ackq8/S02cen3cejnq4ajwy5eny6ce7e, 8, 8, 47, 3bo2$2bo$o!
3, B2-an3aek4aq5acjkq8/S02cen3cejn4ajtwy5eny6-ik, 7, 7, 47, 3bo2$2bo$o!
3, B2-an3aek4aqy5ackqr6a8/S02-a3cejn4ajwy5einy6ac, 6, 6, 47, 3bo2$2bo$o!
3, B2-a3ae4aqt5-enry8/S02cen3cej4acjntwy5eny6ckn7e, 10, 10, 48, 3bo2$2bo$o!
3, B2-an3acek4akq5acknr6e8/S02-ak3cej4ajkrwy5en6ac, 10, 10, 49, 3bo2$2bo$o!
3, B2-an3ae4aqt5acikq6k8/S02-ai3cej4acjtwyz5en6c, 9, 9, 49, 3bo2$2bo$o!
3, B2-an3acek4akqy5ackq6k8/S02cen3cejn4ajktwy5en6ce8, 8, 8, 49, 3bo2$2bo$o!
3, B2-an3aceky4aiqtz5ack6ak8/S02-ai3cejn4ajrwy5enq6cn7e, 7, 7, 49, 3bo2$2bo$o!
3, B2-an3ace4akqw5-ejnr6a8/S02cen3cejq4acjwy5en6ac8, 6, 6, 49, 3bo2$2bo$o!
3, B2-an3ace4akqt5ack8/S02cen3cejn4ajkrtwy5en6ac8, 13, 13, 50, 3bo2$2bo$o!
3, B2-a3aceq4aqtw5-ijqy8/S02cen3cej4ajkwy5eiknq6cn, 11, 11, 50, 3bo2$2bo$o!
3, B2-a3aeqy4aqt5ack7e8/S02-ai3cejn4ajkwy5en6cin7e8, 11, 11, 51, 2bo2$obo!
3, B2-a3ae4aqty5ackq6e8/S02cen3cej4ajwy5eikn6ac, 9, 9, 51, 3bo2$2bo$o!
3, B2ain3ackr4aeqrw5aijq6cn/S02cei3acir4kry5cinr6ae7c8, 8, 8, 51, 2bo2$obo!
3, B2-a3aceky4aq5-einy6k7e8/S02cen3cejnr4acjrwy5einq6ck8, 7, 7, 51, 3bo2$2bo$o!
3, B2-an3acekq4ainqwy5ack6ak8/S02-ai3cej4ajkwyz5en6cn, 6, 6, 51, 3bo2$2bo$o!
3, B2-an3acek4anqwz5acky6a8/S02cen3cejn4ajkwy5ekn6cen8, 5, 5, 51, 3bo2$2bo$o!
3, B2-an3ace4aqyz5-eijr6cn8/S02cen3cejnq4acjwy5en6ac8, 12, 12, 53, 3bo2$2bo$o!
3, B2-an3aeqy4aknqy5ackn6kn8/S02-a3cejn4acjktwy5eny6cen, 9, 9, 53, 3bo2$2bo$o!
3, B2-an3ae4aqz5-enry6a8/S02cen3cejq4ajnwyz5enqy6cn, 8, 8, 53, 3bo2$2bo$o!
3, B2-an3aeq4aqy5ackqr6n8/S02cen3cejr4ajnwy5en6ce, 7, 7, 53, 3bo2$2bo$o!
3, B2-an3acey4aqt5-eijr8/S02cen3cejn4ajwy5en6cek7e, 6, 6, 53, 3bo2$2bo$o!
3, B2-an3aceqy4aqyz5acky6ek8/S02cen3cej4ajkrwy5ekny6ce, 4, 4, 53, 3bo2$2bo$o!
3, B2-an3ace4aiqwy5acjkn6ac7e8/S02-ak3cej4ajrtwyz5ekn6cn, 11, 11, 54, 3bo2$2bo$o!
3, B2-an3aceq4aiq5-inry6n8/S02cen3cej4ajtwy5en6-in8, 10, 10, 54, 3bo2$2bo$o!
3, B2-an3aey4anq5ack6n8/S02cen3cejnr4ajktwy5ein6cek8, 11, 11, 55, 3bo2$2bo$o!
3, B2-a3ae4aiq5ack6e8/S02cen3cej4ajkrwy5enq6c8, 8, 8, 55, 3bo2$2bo$o!
3, B2-an3aeq4aqz5-einr8/S02-ai3cej4ajrtwy5en6ac, 7, 7, 55, 3bo2$2bo$o!
3, B2-an3aeqy4aq5-eiry6k8/S02-ai3cej4ajtwy5ein6cen, 6, 6, 55, 3bo2$2bo$o!
3, B2-an3aeq4aikqy5ack6n8/S02cen3cejn4acjkwy5en6ac, 14, 14, 56, 3bo2$2bo$o!
3, B2-an3aek4aikqw5-ej6ek8/S02-ai3cejq4ajkwy5eny68, 6, 6, 57, 3bo2$2bo$o!
3, B2-an3ace4aqwyz5-eny6ak8/S02-a3cejn4acjktwy5en6ck, 12, 12, 58, 3bo2$2bo$o!
3, B2-a3aek4aiq5ack6e8/S02-a3cej4ajwy5ekn6ce, 11, 11, 58, 3bo2$2bo$o!
3, B2-a3ace4akqty5aciky6e8/S02-ak3cejq4ajknrwy5eknq6ckn, 9, 9, 58, 3bo2$2bo$o!
3, B2-a3ae4aqwz5-ejry6an8/S02cen3cejr4acjkwy5en6-ik, 12, 12, 59, 3bo2$2bo$o!
3, B2-an3aey4aiq5acknq6n8/S02-ai3cejn4ajktwy5eny6c, 10, 10, 59, 3bo2$2bo$o!
3, B2-a3acek4akqt5acik8/S02-ak3cejq4ajkrtwy5en6ck, 7, 7, 59, 3bo2$2bo$o!
3, B2-an3ace4anq5-enry6c8/S02cen3cejnr4ajwy5einq6cek8, 6, 6, 59, 3bo2$2bo$o!
3, B2-an3ace4akqw5acikn8/S02cen3cej4ajktwy5enq6ce, 5, 5, 59, 3bo2$2bo$o!
3, B2-an3aceqy4anqwz5acikn6en8/S02-ai3cejq4ajtwy5en6cen8, 10, 10, 61, 3bo2$2bo$o!
3, B2-an3aeq4akqw5-inqr6cn8/S02cen3cejnr4ajrwy5en6ce7e, 8, 8, 61, 3bo2$2bo$o!
3, B2-an3aey4aqt5acjkr6en7e8/S02-ak3cejn4acjrwyz5einy6ck, 5, 5, 61, 3bo2$2bo$o!
3, B2-an3aceq4aqtw5ackq6ek8/S02cen3cejn4ajwy5enq6cin7e8, 12, 12, 62, 3bo2$2bo$o!
3, B2-an3aceq4aiqyz5acejk6i8/S02-ak3cej4ajrtwy5eikn6cen, 8, 8, 63, 3bo2$2bo$o!
3, B2-a3ace4aqz5ackn8/S02-ai3cejr4ajwy5ein6cen8, 7, 7, 63, 3bo2$2bo$o!
3, B2-an3aceky4aikqy5-eq6a8/S02-ak3-aiky4ajnrwy5eikn6-ae, 6, 6, 63, 3bo2$2bo$o!
3, B2-an3aceq4aknqz5ack6-ai7e8/S02cen3cejr4acjrwyz5eny6ace, 4, 4, 63, 3bo2$2bo$o!
3, B2-an3aeq4aq5ack8/S02cen3cej4acjrtwy5eknq6cn, 10, 10, 65, 3bo2$2bo$o!
3, B2-an3aek4aikqz5ackn6n8/S02-a3cej4ajktwy5enq6-ai, 7, 7, 65, 3bo2$2bo$o!
3, B2-an3aeky4aqt5acekq6kn8/S02cen3cej4acjrtwy5en6cn7e, 6, 6, 65, 3bo2$2bo$o!
3, B2-an3ae4aqwz5ackq8/S02-ai3cejr4ajwy5eikny6-en8, 4, 4, 65, 3bo2$2bo$o!
3, B2-an3aekqy4ainqz5-einr6akn7e8/S02-ai3cejn4-ceinq5enq6ace8, 5, 5, 67, 3bo2$2bo$o!
3, B2-an3aekq4akqtwy5acjk6n8/S02cen3cejnq4acjktwy5eny6ac, 12, 12, 68, 3bo2$2bo$o!
3, B2-an3aceq4aikqt5ackq8/S02cen3cej4ajktwy5en6c, 6, 6, 69, 3bo2$2bo$o!
3, B2-an3ae4anqz5ackqr6c8/S02cen3cejq4ajrwy5ekn6acn, 8, 8, 71, 3bo2$2bo$o!
3, B2-an3aceqy4akqz5acknr7e8/S02-ak3cejq4ajrtwy5ein6cn8, 5, 5, 71, 3bo2$2bo$o!
3, B2-an3aeq4aikqw5-enry6a8/S02-ak3cejnr4ajktwyz5ein6cn, 4, 4, 71, 3bo2$2bo$o!
3, B2-an3aceky4aqtw5ackq6a8/S02cen3cej4ajktwyz5eknq6-k, 11, 11, 72, 3bo2$2bo$o!
3, B2-a3aeqy4aqw5acikq6a8/S02-ak3cejnq4ajrwyz5enqy6c, 9, 9, 73, 3bo2$2bo$o!
3, B2-an3ae4akq5acikr6e8/S02cen3cej4ajnwyz5eiknq6ace, 6, 6, 73, 3bo2$2bo$o!
3, B2-an3acek4aiknqty5-eny6ac8/S02cen3cej4ajwy5einq6ac, 4, 4, 73, 3bo2$2bo$o!
3, B2-an3ae4anqt5acekr6c8/S02cen3cejnr4ajwy5enq6cek, 2, 2, 73, 3bo2$2bo$o!
3, B2-an3ae4aqw5ackry8/S02-a3cej4acjnrwy5einq6cn7e, 11, 11, 74, 3bo2$2bo$o!
3, B2-a3aekq4aiq5ackny6ei8/S02-ak3cejn4ajwy5einqy6ce, 11, 11, 75, 3bo2$2bo$o!
3, B2-an3ace4aqz5ackn8/S02cen3cejn4ajktwy5en6ce8, 5, 5, 75, 3bo2$2bo$o!
3, B2-an3ace4anq5-ejny8/S02-ai3cejn4acjtwyz5eny6c8, 4, 4, 75, 3bo2$2bo$o!
3, B2-a3aekq4aikqtz5acknr6aci8/S02-ai3cejq4ajktwy5ekn6ckn, 3, 3, 75, 3bo2$2bo$o!
3, B2-an3ae4aqtw5ackqr8/S02cen3cejn4-ceiqz5eikn6ack, 8, 8, 79, 3bo2$2bo$o!
3, B2-an3acekq4anqyz5ackr6ck7e8/S02-ak3cejn4ajktwy5ekn6ace7e8, 7, 7, 79, 3bo2$2bo$o!
3, B2-an3aeky4anqw5ackq6ae8/S02cen3cej4ajwy5eny6cin7e, 2, 2, 79, 3bo2$2bo$o!
3, B2-an3aekq4aiq5ackqr6ak8/S02cen3cejr4ajwy5ein6cn, 12, 12, 86, 3bo2$2bo$o!
3, B2-an3ae4anqwyz5-jnr6-ik7e8/S02-ai3cejnr4ajknwy5eny6c, 10, 10, 86, 3bo2$2bo$o!
3, B2-a3aekq4ainqz5-einr6a8/S02cen3cejnq4-ceiqz5ekn6c, 11, 11, 88, 3bo2$2bo$o!
3, B2-a3ace4aiqy5acjkq6ae8/S02cen3cej4ajktwy5ekn6c8, 10, 10, 88, 3bo2$2bo$o!
3, B2-an3aey4aq5acjkq6a8/S02-ai3cejn4ajtwy5eny6ck8, 9, 9, 88, 3bo2$2bo$o!
3, B2-an3aceq4akq5-eijy6ck8/S02cen3cejn4ajwyz5en6c7e, 3, 3, 89, 3bo2$2bo$o!
3, B2-an3aey4aqy5-enry6k8/S02cen3cej4ajwyz5eikn6cin8, 11, 11, 90, 3bo2$2bo$o!
3, B2-an3aeq4aiqtz5acikn7e8/S02-a3cejq4ajknwy5enq6cn, 8, 8, 91, 3bo2$2bo$o!
3, B2-an3aey4aiq5ack8/S02cen3cejnr4ajrwy5einy6cei, 3, 3, 91, 3bo2$2bo$o!
3, B2-an3aekq4aq5ack6e8/S02cen3cejnr4ajknwyz5eny6cn8, 15, 15, 94, 3bo2$2bo$o!
3, B2-an3acey4akqz5-ejr6cek8/S02cen3cejnq4ajnrwy5eknqy6ck8, 12, 12, 94, 3bo2$2bo$o!
3, B2-a3aekq4anqwy5-nqry6a7e8/S02cen3cejnr4ajwy5eknq6ce8, 4, 4, 95, 3bo2$2bo$o!
3, B2-a3aeq4ainqtyz5-jqry8/S02cen3cejq4-einqr5ekny6ckn8, 11, 11, 97, 3bo2$2bo$o!
3, B2-an3aeky4aiqw5ack6-an8/S02-ai3cejr4acjwy5eiknq6-kn7e, 5, 5, 97, 3bo2$2bo$o!
3, B2-an3ace4aiq5-enqy6c8/S02-ai3cejn4-eiknq5en6ace, 2, 2, 99, 3bo2$2bo$o!
3, B2-an3aeq4aiqy5ack6cen8/S02cen3cejnq4ajknwyz5eny6ckn8, 10, 10, 100, 3bo2$2bo$o!
3, B2-an3aceq4akqy5-ejny8/S02cen3cejnr4acjnrwy5ein6ck, 6, 6, 101, 3bo2$2bo$o!
3, B2-a3ae4ainqy5ackr6akn8/S02cen3cej4ajnwy5en6ce7e, 5, 5, 103, 3bo$bo2$o!
3, B2-a3ae4aqtw5acijk6ek8/S02cen3cejnq4ajwyz5ekn6cei, 11, 11, 106, 3bo$bo2$o!
3, B2-an3aceq4ainq5ackr6cen8/S02cen3cejnq4ajktwy5enq6-i, 7, 7, 111, 3bo2$2bo$o!
3, B2-an3acey4aqt5acikn6n8/S02cen3cej4ajktwy5ein6c8, 3, 3, 111, 3bo2$2bo$o!
3, B2-a3aek4aikqwz5acjk6k8/S02cen3cejnr4ajkwy5eknq6cei8, 12, 12, 112, 3bo2$2bo$o!
3, B2-an3aceky4aqwy5-ejnr6e8/S02-ai3cej4ajwy5ekn6ci, 4, 4, 113, 3bo2$2bo$o!
3, B2-a3aceky4aiq5ack8/S02-a3cejqr4ajkwy5eny6ce, 8, 8, 114, 3bo2$2bo$o!
3, B2-an3aey4akqtw5ack8/S02cen3cejn4-ceiqt5en6-ae8, 7, 7, 119, 3bo2$2bo$o!
3, B2-an3ae4akqy5-enqy6in8/S02cen3cej4ajnwyz5enq6cek, 3, 3, 127, 3bo2$2bo$o!
3, B2-an3aceqy4aikqz5acekn6e7e8/S02cen3cejn4acjrwy5en6cen8, 10, 10, 128, 3bo2$2bo$o!
3, B2-an3aeq4aikq5ackn6n8/S02cen3cejr4ajrwy5en6c, 1, 1, 161, 3bo2$2bo$o!
3, B2-an3acey4aqy5aceky6aik8/S02cen3cej4-eikqt5ekn6-ek7e, 14, 14, 162, 3bo2$2bo$o!
3, B2-an3ace4-cejkr5ackn6n7e8/S02cen3cejn4acjkwyz5enq6cei, 7, 7, 168, 3bo2$2bo$o!
3, B2-an3aceq4anqtwy5acjkr6k8/S02cen3cejn4-eikqt5ekn6acn, 5, 5, 190, 3bo2$2bo$o!

[AforAmpere]

New speeds:
8c/974 diagonal, found on Discord by FlameandFury, 79 cells:

Code: Select all

x = 34, y = 28, rule = B3aijq4aeqr5a6c/S2ae3cijnr4aciq5ae7e
5b2o23bo$5bobo21b2o$5b3o20b3o$31b3o$26bo4b2o$3o5bo16b2o4bo$obo3bo17b3o
$b2o24b3o$8bo18b2o$3bo23bo2$11bo2bo$17b2o$3o10bo3bobo$ob2o13b3o$b2o2$
12b3o$12bobo$3b2o8b2o$3b2o4$7bobo$7bobo$7bobo$7b2o!

27c/574 diagonal, 55 cells:

Code: Select all

x = 32, y = 42, rule = B3aijq4aeqr5a6c/S2ae3cijnr4aciq5ae6c7
5b2o$4bobo$4b3o2$b2o$obo6b3o$3o6bobo$9b2o2$5b3o$5bobo$5b2o6$29b3o$29bo
$28bob2o$29bo6$28bo$28b2o$29b2o$25bo2$27bo$22bo2$24bo$19b2o$20b2o$21bo
2$23b2o$24b2o$25bo!

15c/198 orthogonal, 3 cells:

Code: Select all

x = 6, y = 3, rule = B2-an3ajqry4-aenwz5acijy6ai78/S01c2i3ceky4cinr5-aik6in8
o$5bo$o!

Better speeds:
10c/41 orthogonal, 3 cells:

Code: Select all

x = 6, y = 3, rule = B2cik3aceny4cijktyz5-ain6-i/S02cik3j4acin5-ackn6-n7
o$5bo$o!

4c/57 orthogonal, 3 cells:

Code: Select all

x = 6, y = 3, rule = B2cin3-cjqr4jknqyz5acjry6ci7e8/S02ak3aqr4knrtwz5ai6a
5bo$o$5bo!

3c/63 orthogonal, 3 cells:

Code: Select all

x = 6, y = 3, rule = B2ci3aeik4-cein5-ckn6kn7c8/S02ce3ceknr4ajnqw5-aijq6n8
o$5bo$o!

3c/116 orthogonal, 3 cells:

Code: Select all

x = 6, y = 3, rule = B2-a3ek4-eijwy5ejkny6aek78/S01c2k3ceikq4-ein5-i6kn78
o$5bo$o!

EDIT, (13,2)c/160, 48 cells:

Code: Select all

x = 26, y = 30, rule = B3aijq4aeqr5ae6c/S2ae3cijnr4aciq5ae6c7e
16bo$15b2o$14b2o$19bo$12bo$11b2o4bo$10b2o10bo$15bo$20bo$13bo10b2o$18bo
4b2o$23bo$16bo$20b2o$19b2o$19bo7$4b3o$4bo2bo$4bo2bo$5b3o$3o$o2bo$o2bo$
b3o!

(16,4)c/130, 64 cells:

Code: Select all

x = 25, y = 33, rule = B3aijq4aeqr5ak6c/S2ae3cijnr4aciq5ae6c7e
6bo$5b2o$4b2o$9bo$2bo$b2o4bo$2o10bo$5bo$10bo$3bo10b2o$8bo4b2o$13bo$6bo
$10b2o2b2o$9b2o2bob2o$9bo3b3o$14bo5$6b2o15bo$5bob2o13b3o$5b3o13b2obo$
6bo15b2o5$15bo$14b3o$13b2obo$14b2o!

[Moosey]

I suppose c/10d, 3 cells, is known.

Code: Select all

x = 3, y = 3, rule = B2ein3acir5y/S02ace3a4t
obo2$2bo!

[googoIpIex]

What is the smallest 2c/68 diagonal without b0?
I’m on mobile and can’t check the collection.

[Sarp]

Code: Select all

x = 5, y = 3, rule = B2cin3ajnr4aenqrz5aejr6i7c/S02-e3ce4w5aeqry6aci7e
o2$o3bo!

[2718281828]

First off, apologies to 2718281828, I seem to have forgotten about the ships posted in January. I've made an update to the collections and where my recent results duplicated yours I put your results in. Several of the 4-cell ships have been superseded by 3-cell ships posted above. Your glide reflective ships are quite different to mine. May I ask how you are generating your LLS input files - is it via a script or hand edit to force the glide reflection?

I am generating the lls input files using a small script. I am using this to find RROs, SMOSs, splitting rules etc. as well. Basically I specify an input pattern and output pattern, together with some shifts, rotations, symmetries etc. The nice thing about that is that I can easily look for rules with multiple pattern - which is very helpful to search for interesting rules.