Smallest Spaceships Supporting Specific Speeds (5s) Project

[AforAmpere]

Massive release now available, with over 500 kB per each file, here:
https://drive.google.com/drive/folders/ ... XE0ZGVSMzg

This update is over 3 times the size of the last one, and has much, much more. I will post when a new update is pushed to these files.

[praosylen]

(3,2)c/5:

Code: Select all

x = 9, y = 9, rule = B2-ik4irz5j6a/S1e2c3eknry4j5ery
2obo$2bo$5bo2bo$7bo$2bo4bo$7bo$4bo3bo2$4bo!

Improved:

Code: Select all

x = 7, y = 7, rule = B2-ik3n4az5cnq6e/S1e2c3ikry4t5jnq6ek
4bo3$4bo$o3bobo$6bo$4b3o!

[AforAmpere]

Smaller 8c/14, at 4 cells:

Code: Select all

x = 3, y = 4, rule = B2aci3qy4ny5cnr/S12-an3n5n
2bo2$b2o$o!

10c/18, with a weird path, maybe a 5c/9 will be found?:

Code: Select all

x = 4, y = 3, rule = B2acn3y/S12ak3acqy4qr5r
obo$2bo$3bo!

EDIT, hey a 14c/26:

Code: Select all

x = 4, y = 3, rule = B2acn3y/S12akn3q4qr
obo$2bo$3bo!

[dani]

15 cell 6c/574:

Code: Select all

x = 19, y = 17, rule = B35j7e/S23
17bo$15bo2bo$15bo2bo$16bo9$bo$b2o$o2bo$bobo$b2o!

I am glad for the new drive page, it is easier than downloading some large files every time an update comes out.

[AforAmpere]

Yeah, I agree, this also had to be the solution, as the files are now over half a megabyte each, so they can't be posted.

12c/22:

Code: Select all

x = 4, y = 3, rule = B2acn3y/S12akn3aqy4qr5er
obo$2bo$3bo!

13c/42 diagonal, which traces a weird snake-like path:

Code: Select all

x = 4, y = 3, rule = B2acn3y4c/S12ak3cqr4ar5ak
obo$2bo$3bo!

[toroidalet]

Those almost c/2 diagonal ships are really cool.
78-cell 88c/448 in a familiar rule:

Code: Select all

x = 37, y = 3, rule = B2c3a6ac7e/S1e2cik3ejnr4i
37o$10bo9bo5bo3bo3bo$b36o!

52-cell 57c/279:

Code: Select all

x = 26, y = 3, rule = B2c3a6ac7e/S1e2cik3ejnr4i
25o$8bo13bo2bo$b24o!

I wonder if muzik is right and this rule has "infinitely many spaceship speeds".

[AforAmpere]

The only other one in that rule I could find was this 531c/2669:

Code: Select all

x = 3, y = 34, rule = B2c3a6ac7e/S1e2cik3ejnr4i
bo$3o$obo$obo$obo$obo$obo$3o$obo$3o$obo$obo$obo$3o$obo$3o$obo$3o$obo$o
bo$obo$3o$obo$3o$obo$3o$obo$obo$obo$obo$obo$3o$obo$o!

[Rhombic]

is a (2,1)/9 knightship known?

Code: Select all

x = 7, y = 7, rule = B2n3acin4rwz5cir6ack7c/S2ace3-inq4cknrwyz5-ckqy7
4b2o$5b2o$bo$bobo$b2o$3o$bo!

[muzik]

Yes, which could very easily be found out simply by looking at the dedicated wiki page.

[Saka]

I forgot to post the third edition of Bhep-Mag

[wildmyron]

Smaller 4c/8 diagonal:

Code: Select all

x = 4, y = 4, rule = B2aei3ae4e5a/S1c2c3r4i5ae
3bo2$3bo$obo!

Here are a few ships from this thread which are missing from the latest version of the files:

13c/37 ship, 36 cells:

Code: Select all

x = 23, y = 16, rule = B3-cky4e6ci8/S23-e
19b3o$2bo15bo3bo$2bo14b2obobo$2o16bo3bo$19b3o7$19b3o$2o16bo3bo$2bo14b
2obobo$2bo15bo3bo$19b3o!

Cheeky bookends. (6,1)/78 SWst

Code: Select all

x = 3, y = 4, rule = B35-ajnr6a/S2-i3-kq5i
2o$o$bo$b2o!

[Edited to place in canonical orientation and phase]

23c/1679

Code: Select all

x = 12, y = 15, rule = B2i34cik7/S23-a4cikn7
2b3o$o$o3bo$o$2b3o10$9b3o!

[Edited to place in canonical orientation and phase]

6c/12, in a B1e rule:

Code: Select all

x = 4, y = 4, rule = B1e2cek3acry4jkqr5cjny6aei7e/S12-ce3ej4wy5cir6c7
2b2o2$o2bo$obo!

[Edited to place in canonical orientation]

@AforAmpere: The 6c/12 was oriented to the NE and highlighted a bug in the update script which meant the rle import completely missed it. There may be other ships in the thread which were missed during my review of the thread because of this bug. I'll let you know when I've updated the script to fix the issue.

p28 6c/7 puffer/rake:

Code: Select all

<snip>

Will try to stabilize into a spaceship.

EDIT: I've pretty much given up on the 6c/7

I don't think it's hopeless, but the presence of S0 certainly makes most rules the frontend works in quite productive. Here's a rule with a p14 6c/6 puffer, as well as a wider p7 one.

Code: Select all

<snip rle>

There's not much more hope for these because it's so difficult to clean up the dots without making plenty more.

That was of course meant to be 6c/7. I've been running a gfind search in the rule which has produced a variety of puffers. This one is probably the cleanest of them:

Code: Select all

x = 55, y = 51, rule = B2ac3ae4arz/S02i3ain4ar5j7c
2bo5bo5bo5bo5bo5bo5bo5bo$46bo2bobo$49bo2bo$48bo2b3o$47bobo2b2o$bo5bo5b
o5bo5bo5bo5bo8bo2b2o2bo$44b4o2b2o$42bo$40bobo2bo8bo$46bobo4bo$9bo5bo5b
o5bo5bo2bo2bo5bob2o5bo$12bo28bo9bob2o$12bo28bo8b2o2bo$o35bo2bo7b2o4bo$
3bo11bo12bo3bobo11bo6bo$3bo6bobo4bo13bo18b2o2bo$14bobo16bobobo13bob2o$
bo4bobo2bo5bo11b7obo16bo$10bo4bo3b3obo5b2o3b2obo11bo3bo$7bo5b2o10bo6bo
bobo13bo3bo$16bo2b2o4bo9bobo5bo6bobo$7bo9bo5bo5bo5bobo7bo3b2o$9bo23bob
obo4bo2bo$8bo3bo2b2o4bo2bo5bo8bo10bo$5bo6bo7bo7bo9bobo$4bobo3b2ob2obob
o3bo10bo2bo2bo$5bo6bo7bo7bo9bobo$8bo3bo2b2o4bo2bo5bo8bo10bo$9bo23bobob
o4bo2bo$7bo9bo5bo5bo5bobo7bo3b2o$16bo2b2o4bo9bobo5bo6bobo$7bo5b2o10bo
6bobobo13bo3bo$10bo4bo3b3obo5b2o3b2obo11bo3bo$bo4bobo2bo5bo11b7obo16bo
$14bobo16bobobo13bob2o$3bo6bobo4bo13bo18b2o2bo$3bo11bo12bo3bobo11bo6bo
$o35bo2bo7b2o4bo$12bo28bo8b2o2bo$12bo28bo9bob2o$9bo5bo5bo5bo5bo2bo2bo
5bob2o5bo$46bobo4bo$40bobo2bo8bo$42bo$44b4o2b2o$bo5bo5bo5bo5bo5bo5bo8b
o2b2o2bo$47bobo2b2o$48bo2b3o$49bo2bo$46bo2bobo$2bo5bo5bo5bo5bo5bo5bo5b
o!

The search has reached a depth of 390 and was happily deepening by 700, taking about an hour per round, but that's recently blown out to 6 hours per deepening round. I'm going to leave it running for a couple more days.

[AforAmpere]

I have been working on putting those from here and those in some searches I have run in there. I will update it every so often, but I keep the master files on my PC, so it is easier to update.

6c/10:

Code: Select all

x = 3, y = 3, rule = B2-ek3ay4aci5kq/S02k3iy4jkt5y6i
2bo$o$2bo!

[wildmyron]

6c/10:

Code: Select all

x = 3, y = 3, rule = B2-ek3ay4aci5kq/S02k3iy4jkt5y6i
2bo$o$2bo!

Nice find! Here's a 12c/20 based on that:

Code: Select all

x = 3, y = 11, rule = B2-ek3ay4ai5ry/S02k3ciry4cntw5iy6in
2bo$o$2bo6$2bo$o$2bo!

and an 18c/30:

Code: Select all

x = 31, y = 19, rule = B2-ek3acqy4aciqt6i/S02k3ijy4tw5a6i
16bo$14bo$16bo2$30bo$28bo$30bo3$o5bo11bo3$30bo$5bo22bo$3bo26bo$5bo$16b
o$14bo$16bo!

[toroidalet]

10-cell 17c/60:

Code: Select all

x = 3, y = 6, rule = B34e5j7e/S34-cr5-jnr6ci78
o$b2o$b2o$b2o$b2o$o!

10-cell 4c/103:

Code: Select all

x = 4, y = 3, rule = B34cen5j/S34-r5-jnr6c7e
3o$4o$3o!

[AforAmpere]

Nice finds toroidalet and wildmyron!

5c/9:

Code: Select all

x = 3, y = 3, rule = B2aci3aey4ae6c/S02i3i4cty5n6i7e
2bo$o$2bo!

9c/15:

Code: Select all

x = 3, y = 3, rule = B2-ek3acy4aij5ey6c/S02n3aiky4nty5e6i7e
2bo$o$2bo!

7c/12:

Code: Select all

x = 3, y = 3, rule = B2aci3acry4ar5e6a/S02i3ir4ckt5c6ci7e
2bo$o$2bo!

Any farther in the 6c/7 search?

[toroidalet]

Back at it again with the spaceships found by [playing around with rules]
26-cell 17c/47

Code: Select all

x = 50, y = 7, rule = B2-ai4-iqy6a7c/S15ackry7c8
14bo$14bobo$28bo14bo4bo$obo7bob2obobobobo4bo11bobobo6bo$28bo14bo4bo$
14bobo$14bo!

18-cell 18c/95:

Code: Select all

x = 35, y = 39, rule = B2-ai4-iqy/S1
o3bo$2bo11$2bo$o3bo5$13bo$29bob2obo$13bo5$o3bo$2bo11$2bo$o3bo!

30-cell 18c/51:

Code: Select all

x = 67, y = 13, rule = B2-ai4-iqw/S1
4bo2$4bo2$47b2o$o12bo4bo34b2o10b2o$12bo6bobobobobo8bobo$o12bo4bo34b2o
10b2o$47b2o2$4bo2$4bo!

40-cell 7c/85:

Code: Select all

x = 14, y = 7, rule = B34n5jk6c7/S34-r5-jnr6ck7e8
8bob2o$b3o3b4o$4o3bo$4ob2ob2o2b2o$4o3bo$b3o3b4o$8bob2o!

7-cell 6c/67 diagonal:

Code: Select all

x = 5, y = 5, rule = B34ce5jk6c7/S34-r5-jnr6ck7c8
3bo$3bo$2bobo$2o$2bo!

32-cell 31c/82:

Code: Select all

x = 37, y = 29, rule = B34ce5jk6a7/S3-k4-cry5-jn6c7e8
bo$o$o$o$o3$34b3o$bo31b4o$34b3o10$34b3o$bo31b4o$34b3o3$o$o$o$o$bo!

10-cell 17c/60:

Code: Select all

x = 3, y = 6, rule = B34e5j7e/S34-cr5-jnr6ci78
o$b2o$b2o$b2o$b2o$o!

Note that some of the higher-population ones are sparky ships which can probably be reduced. A singular version of the 31c/82 may be possible.

[wildmyron]

Any farther in the 6c/7 search?

It's still inching along. There are 9 partials now, it has reached a depth of 417 and deepening rounds are extending by 850 and taking nearly half a day. I wish I could modify gfind to to do a plain DFS search from this point on, I think that would come to a conclusion a good deal faster than the current search.

Back at it again with the spaceships found by [playing around with rules]

<snip>

Note that some of the higher-population ones are sparky ships which can probably be reduced. A singular version of the 31c/82 may be possible.

Wow, that's revealed quite a productive search space for interesting orthogonal speeds. Here's my favourite result so far:

8 cell 15c/157:

Code: Select all

x = 4, y = 5, rule = B3-ck4c5cjk6an7/S3-k4-ry5-jn6c7e8
bo$2bo$4o$2bo$bo!

[toroidalet]

6-cell 14c/222 diagonal:

Code: Select all

x = 3, y = 3, rule = B2i3-e4z6c7/S23-e4c5e
b2o$2bo$3o!

8-cell (12,1)c/61:

Code: Select all

x = 5, y = 7, rule = B2i3-c5jy6ik/S23-cek4cy
3bo$3b2o$3bo3$2o$2o!

6-cell 12c/55:

Code: Select all

x = 5, y = 3, rule = B35an6c/S23-c4j6in
o$ob3o$o!

(This is my first ship posted on here from a search I ran)

[wildmyron]

@AforAmpere: Here are some more ships from this thread which currently aren't in the files on Google Drive. I realise that you haven't updated the files since my last update on missing ships, so you may have already picked these up, but I'm posting them after going through the thread again after fixing several bugs in the update script. I've updated the scripts on my Drive as well, so please grab the latest versions of the update script and sss.py. You should be able to successfully import all the ships on any page from the forum by copying the whole page and running the script - except for one bug which I haven't been able to work around. Because of the unicode char bug in Golly which I reported elsewhere, you will need to turn off the display of signatures.

@ every one else: The update script isn't publicly available, but I'm planning on releasing a version which will check if a ship in the current layer is a new record for the 5S project, and return the ship in a semi-canonical representation if it is.

8c/183

Code: Select all

x = 29, y = 5, rule = B2ei3aeiqr4-aiktz5aiqy6ac7c8/S12cin3i4cikwy5-ajr6ain7e
26bo$4bo13bobo5bo$2ob3o11bo2bo4b4o$4bo13bobo5bo$26bo!

drc discovered this one a while ago, not sure if it's in the collection.

Code: Select all

x = 12, y = 12, rule = B35/S234i
11bo$11bo$9b3o7$2bo$2bo$3o!

Not actually a ship, but evolves into one: 712 cell, 30c/132, diagonal

Code: Select all

x = 168, y = 168, rule = B35/S234i
28bo$27b3o$26b4o$24bob2o$23bo2b2o$22b2o2bo$23b4o$24bo4$26b2o5$34b2o$
34b2o4$38b3o$5bo$4b3o$3bo2b2o$6bo66bo$2b5o4bo$b4o6bo$3o$b2o3$68b3o$68b
ob2o$16b2o44b2o4b4o$16b2o42b2o2bo4b2o$62b3o$58bo4b2o$21bo28b3o4b2o$21b
o26bo5bob5o4b2o$21bo25bo6bob2o8bo$46bo7bob2o3b3ob2o$45bo15bo2b2o$45bob
o4bo6bobo$45b4o9bo2bo10b3o$42b3o26bo3bo$41bo2bo14bo14b2o$40bo2b2o13bo
12b2o$39bo4bo26bo2$38bo$38bo32bo$38bo4bo24bobo$68bo4bo$39b3o30bo$71bo$
39b3o$38b4o$37b3o4bo2bo16b3o$39bo3bo2bo17bobo27bo$35bo3bo25b2o26bobo$
35bo5b4o50bo$34bobo4bo$34bob2o3bo53b2obo$35b3o4bo15b2o28bo4b4ob3o$39bo
b2o15bobo27bob2ob2o6bo$39b3o16b3o27b2o11bo$87b2o2bo3bo3b2o$32b3o17b2o
30bob4o5bo2bo$32bob2o48b3o2b2obobo$32b4o16bo32b2ob2obo$33b2o10bob2o2bo
3bo29bob5o$44bo2bo6bo31bobo2b3o$25bo18bo8bo32bo4b3o$44bobo43b4o$45b2o
2$88b2o$87b2o2bo$88b6o$92b2o$92b2o$91bo$87bo6b2o$68b2o17bo6bobo$69b3o
22b2o$68b3ob2o$67b2o2bo6bo4b2o$64b5ob3o4b3o$66bob4o5bobo$65bo3bobo2bo
4bo$65bobo2b5o3b2o2bo$69bo2b3o4b3o37b2o$60bo3b2o6b3o4b3o37b2o4b2o$59bo
4b2o3bo13b3o39b2o$60b2ob2o2b2o14bobo$63b2o19bo2$63b2o3bo$64bo2bo$64bo
2bo$65b2o3$113bo$114bo$114bo$110bob2o$111b2o$111bo$107bo16b2o$108b2o
13bo$107b2o13bo2bo$104bo2bo12bo3bo$105b2o13bo10b2o$120b2obo7b2o$124bo$
120bo$120b2o$92b2o27b4o$92b2o19b3ob2o3bo11bobo$115bo2b2o14bobo$112bo6b
2o14bo$111bo3bo3bo$110bo2bo2bo2bo$93b2o15bobo17b2obo9b3o$93b2o34b2o3b
2o9bo$129b3obo11bo$135bo9bo$126b2o3bo3bob2ob2o2bo$125b3o3bo2bo6bo$114b
2o9bobob2o5b2o3bobo$114b2o20b2ob3obo9bo$125bobo9b2o13b2o$120b2o4bo3bo
20b2obo$122bo3bob2o18bo3b2o$120b2o9b2o15b2o2b2o$129bob3o15bo$129bo3bo$
132bo$129bo2bo$129b4o26b2o$158bo$125bo5b2o25bo$125bo3bo27bob2o$125b4o
27b4o$155b4o$156b2o$135b2o$136b2o2$134bo20b2o7b2o$133b4o18b2o5bobo$
132b2ob2o24bo2bo$134bo29bo$146bo4b2o7b4o2bo$145b3o3b2o7bo4bobo$144b4o
16bo2bo$142b2ob2o18b2o$141bo2b2o$141bo2bo10b2o$153bobo$152bo2bo$155bo$
151b4o2bo$151bo4bobo$155bo2bo$156b2o!

28-cell 52c/104:

Code: Select all

x = 15, y = 7, rule = B356n/S23
4bo$3bobo4b3o$bo6bo2bob2o$o3b2obo6bo$o6bo6bo$3o4b4o2bo$11bo!

7c/230d: *

Code: Select all

x = 4, y = 3, rule = B35c7c/S23-c4y5k6k
2obo$b3o$2bo!

[Edited to place in canonical orientation]

remarkably sparky 8c/109

Code: Select all

x = 5, y = 5, rule = B2en3aceiy4acinrz5eikqr6ak7c/S2-ai3-ceky4z5jkq7
4bo$2b2o$bo2bo$bobo$obo!

(23,9)/145 *

Code: Select all

x = 3, y = 3, rule = B35c8/S23-c4k5r6i7e
bo$b2o$2o!

(11,2)/41 *

Code: Select all

x = 3, y = 4, rule = B2i3-cknq4z5c6cn7c/S23-ek5nr6a8
bo$2bo$2bo$3o!

c/99d *
SO CLOSE TO C/100

Code: Select all

x = 4, y = 2, rule = B2in3-cey4cery5y6i7c/S1c2-ci3-acy4eyz5aik6ce
b3o$o2bo!

[* Edited to place in canonical orientation, phase and minimal isotropic rule]

These next ones sort of fall into the realm of adjustable ships - I'm not sure what the status of including this kind of ship in to the database is.
AforAmpere and I discussed including examples of the adjustable speed ships up to p200. I'm planning on compiling a collection of them at some point and perhaps explore how many extra ships would be included up to p1000.
These might be okay, because I'm not aware of any rule for their adjustability.

112c/568

Code: Select all

x = 17, y = 3, rule = B2c3aj4a6ack7/S1e2-an3ejnr4i6k7e
b15o$7bo5bo2bo$16o!

76c/374:

Code: Select all

x = 25, y = 3, rule = B2c3a6ac7e/S1e2cik3ejnr4i
b23o$o5bobobo5bo7bo$2b22o!

53c/265:

Code: Select all

x = 26, y = 3, rule = B2c3a6ac7e/S1e2cik3ejnr4i
26o$bobobo9bo3bobobo$2b24o!

[Rhombic]

Long-glider giraffeship (4,1)/30

Code: Select all

x = 4, y = 3, rule = B2i3-eqr4-ajq5-cej6in7c/S2-i3-acq4eny5ciy6-kn8
4o$o$bo!

Minimum rule is explosive but the spaceship is above escape velocity, as evidenced here. The synthesis of the spaceship is also above escape velocity as this spaceship can be created at the surface and leave the exploding soup without being destroyed in the process.

Code: Select all

x = 247, y = 115, rule = B2i3-eqr4-acejq5-cejy6n7c/S2-i3-acq4n5ci6aci8
bobo2b4ob4obobob3o3b2o2b2o2bo3b3o3bob3ob3o3b4o2bobo2bo2bobo3b2ob8obo3b
o5b3o3bobo2bobo2bo3bo3b2ob2obob2obob3ob2o$2b4ob4o3b3ob2o2b3obob3o2b3ob
2obobo2b2ob8o3bo2b2obo3bob3o5b3ob3ob2o2b2o2b5ob2o3bo3bo2b5o2bobo4bobob
4o4bo$ob6o3b3ob2o2bob3o2b2o2bob2o3bob3o4bo2b2o2bo6b2o2b5obo2bob5o2bo2b
ob4ob3o2b2ob2obo7b2o4bo4b5ob2o3b3o2b3o$ob3ob4obo2bo5b3ob2o2b2ob5o2bobo
3bo2bo3bob2o5bobo2bo6b2obo3bo2bob2ob3obob2o4bo2b2o2bobo2bob3o2bo2bobob
3o2bobo2bo3bo$bob4ob2obo2b2o2bob2o3b2o2bobo3bo3bob2ob7o2bo2b2o3bobo3b
2obo2b2ob5o2b5o2b2ob4obo2bobobo6bob3obo4bob2o4b2ob2obobo$bo2b4o3bo3b3o
2b2ob2o3bo2bo4b3ob4ob4o2b3obo2bob2obobo3b2o2b5ob3o5bo3bo3b5obob10o13bo
bobobo3b2o$b7ob2o5b2o2bo4b2o2b2ob2o4bob4o3b4o2b3ob5o4b4obob2ob2ob2o2b
2obo2b3ob2o4bo3bo4bob2o4b2obobobobo2b2ob4obob2o$2bo3bobob2ob2o2b8ob3ob
2o2bo5bobo3b2ob6o3b6obobobo3bo3bo2bo3b2o5b3obo2bobo2bob2ob3ob2ob3o2bo
3b2ob2o2b5ob3o$3obob6o4b6obo4b2ob6obobo2bobob3ob5o3b5o2bo9b2ob3obobo3b
ob2o2bo3bob2obobobo2bob3ob4o2bo3b3o4b2ob2obo$b3o4bobo7bo8bo2bo2bobo2b
3ob2ob2ob4ob2o5b2o6bobo2bo4b4obo3bob4obo2b4ob6obob2o2b2o2b2o3bo2bobo2b
2o2b2o2bo$o9b2o2b4o3bob3o3b7obob2obo3bo2b2o3bo2bo3bo2bobo2bo4bobob2o2b
o3bo2bo4bo3b5o4bo2bob4ob2o3bobobob4o2b3o$6o4b5ob2ob2obobo2b4o2b4obo2b
2o2b2ob3obobo2b2ob2o2b3o7b3o3bo2b3o2bobo4b2ob2obobobo2b3ob2ob2obo2b2ob
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3obo2b2o2bo2b4obobo2bob2obob2obo3bobo3b2o2b3o2b2ob5o3b2ob3o2bo$o2b2o4b
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obobob3o2bobo3bob2obob3o2b2o3bo6bob2o5b2obob6o2bob3ob2obo$obo2b2obo3bo
2b2ob2ob3obob2obob4ob2o4bo2bo2bo3bo5bobob2obo3bo3b5ob3obo2bobob2o3bobo
b3o3bob6o3b2o2b6o3bo3b3ob3o$b2obo2bobo2bo2bo8b5o2b4o3b2o4bob2obob4o3bo
4b4ob2obobo3bob5ob6ob2o6b3o4b2o2b3obobobob2ob7o4bo2bo$2b2o2bobob2ob2o
6bob2o5b2obo2b2obo5b3o3bo2bo4b2o2b5obo3bob2o5b2o3b2obob4o8bo3b4o2bo4bo
b2o3bob2o2b2obo2bo$3b2obo3bo2bobo2b3obobob4o3b5o3bo2bob3o6b6obob2o4bob
2obo3bob2ob5ob4obob2o2bob2ob4obobob2o6b2o2bo4b2o2bo2bo$2bobob3ob2o5b3o
bo2bo3b3obo2bo13bo2bobob2o2bo3b5obob3o2b2o3b2o2b5obobob4obobo4b5o2b2o
4bobobob4o3bo2bobo$obo3b3o2bobo3b4o2bo2bo3bob2obob2o2bo3bo2bobo3bob3o
4bob2obo3bobobobob3o5b2ob3o3b4ob2o3b2obob2obo4b3obo2bo9bob2o$b7o8bob2o
2bo2b4obo8b3o3bobobob2ob2o3bob3o2bob3o2b2o2b3o2b3obob3obo4b2ob3o3b2obo
2b2o3bo2bob4o5b3o2bo3bo$3o3b2obobob4obo4bob3o2bob2ob2o3bob3ob3o3b3o2bo
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5o2bo2bo3bob2obob4o2b4o$obo2bo3bo2bob3o3b2o2bob6ob4obobob4obobob2o2bob
3o9b3ob2ob2ob6o2bo2bo2bob2obobobobo2bo4b6o2bo3b2ob3o8bobo$o2b2obo2b4o
2bo4bo3bo5b2obo5b6o3bo2bo2b3o7b8obo2b2o3b2o2bo3bo2b3obo3b4o2bobo4b2obo
bobobobobob2o2bob2o3bo$2b2ob3o3b2o5bobo2b3obobobob2o2b3ob4obo2b2obo3bo
bobo3b2obo3bo2bo3b3o2bo6b4o6bo3b2ob3obob2ob2o2b2ob5obobo2bo4b2o$bo2bo
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3b3ob4o2b3o2b2o2b2o3b3ob2ob2ob2obobobo8b2o2b2o3bo3b2o2b2o2bob2o3b2obo
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2o3bo4bobo2bo3b2o2bob2obo2b2o2b2o2b2o2bo$3obobob3o3b2o2bo2b3ob2o2b8obo
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2o$2o3bobo2b2obobo5b7o5b3o3b2o3b2o2b3o8bob2obo3bo10b3obobo2b5o3bo2b2o
3b4o2bobob4obo3bob2o2b3o3b2o2b2o$2obob3obobob2o2b2o2bo2b2ob3o4b2o3b3ob
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2b3ob2o2bo4b3obobo4bo4bo2b2o3b2o2b5o2bo2bob3ob2ob2obobo2bob2obo2bobo2b
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2o$2b2o3b2obo2bob3obob3obob2o5bo8bo2b2o2b2o2bobo3b5o2bob2ob4o3bo2bobo
3bobob3o5bo3bo2b3o4b3obob2obo2bo2bo6b4o103b2o$b5obobob3obob5ob4o6bo2bo
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bobobo2bo2bo2b3o3bo5b3o4b2o2b3o2b4ob3o$bobobo8b2o2b2o4bo2bo6b2ob2o2bob
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3b2ob2ob2ob7o2bo2bo4bob2o2bo3bo5bob5obo3bob4o2bo2bo3bobo4b2o4b2ob6obo
4b2ob5o$o2bob2o2bo2bo2b2o2b3o5bo3bob2o3b2obob2o5b2o4bobo2bob2o3bo2b2o
8b2obob2o3b3o5bobo2bo2bobo3bo2b2o3bob3obob2o2b3o2bo$2o3bo2b2ob2ob5o4bo
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2bobo3bobo4bo3b2o4bobobob2o2bo2b2o3bob2o7bobo2b2ob3obo4bob2o$obo4b2o2b
2obobo5b4obo3bobo3bo4bobobo3bo2b4o3b4obo2b4o2b4o2b2ob2ob2obobo2bob2obo
2b3o2b7o4b4ob5ob2o6b2obo$2bob4o3bo2bobo2bo2bo3bo2bo2bo4b2o2b2o5b3o2bo
2bo5b2obo4bo3bobobobo2bob2o2bobo3bob2o3bobo2bo4b2o2b3o2b2o2bo2b4ob3o2b
3o$o2bobobo4bobo2b2obo2bo2bo3b4obo2b2ob4o2bo2bo7bo2bob2o3bo2b2ob2ob4ob
2o2bo3bo2bo3bobob2ob4ob2ob2o4bob2obo2bobo3b2ob4obo$3b2obo2b5obo5bob2o
3b2o2b2obobo3bo5b5o2bob5obo3b2obo3b3obo2bo6bo2bo3bo2b4o2bob2o2bobo2bob
2o2b3obo5b2ob2o2b4o$2bo2bob2o7b2o3b3o2b2o4bo2bo3bob4obobob4o2bob2obobo
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bobobo2bo6b2o2bobo2b5o3b5obobob2ob3o3bobob3o$b3ob2obo2bobob2o5b4o7bob
4ob3o2bobo3bob4obo4b2obob2o2bob2obobo3b2o6b4ob6o3b2ob2ob2ob3ob2o3bobo
3b2obo2b2obo$6b2o2bob3obo4b2obobob2o6b5o3bo3bobob3obo2b3ob2o3bo2b3o3b
2o2b2ob3obobobo2b3o2b4obo3bo2b3o3b2ob4o7b2ob6o$o3bob3ob4ob3o2b2o3b4ob
2obob3o2bo5bo3bobo4bo2b3obobob2o2b4o3b2o2b2ob2o2b3obo3bo2bobo2bobo2bob
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2o2b2o2b2o2bo2b3ob2obobo4bob3o2b2obo2bobobob4ob2obo4bobobobo3b2o$4o3bo
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2obob2o2b2ob3o2b4obo3b7o$2o3bo3bob4o2b3o3b2o2bo4bo3bo2b2obobob2o2b8obo
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2ob2o2b2ob7o2b2ob2o3b3obo3b2obobob5o2bobo5bobob4o2bob2ob3o2bo3bo3b3o7b
2ob3o2b2ob2ob3ob2o2bo4bobob2obob2o$5bobobobobob2ob3o3b2o4bobobo2b2obo
3bo4bobo2bo5b2o2b2obo3b4o2b4o3b2ob3ob2obob4ob3ob5ob3o2b4o3b2o2bo2b2o2b
6o$2b3o3bobo2bo3bob5o3b3o2bob2o2bob3o2bo2bo5bo3bo2bob4ob2o4b3o5b4o2b2o
bo5b2obo2b2obob2ob4obo2bo3bob2ob3o3bobo2bo$bobo2b3obo6bo3b2o3b2o2b3o3b
3o2b2o2bobobobo2bob3ob5ob2obo2b3o5b9obo5bob2ob3o4b2o3bob2o4bo4bo3b2o2b
2o3b2o$ob6o2bo2bob4o2b2ob3o2b2obo3b2o2b3o5b2obobo3b4ob4ob7o2b2o2bob7o
2b3o3bob2ob2o2bo2bo2b3ob5o2b2o3b2ob4ob2obo$2b2o3b3obo6bobob2ob3ob3ob4o
bo3bo3b4o2bobo3b2obo2b5obobo2b7o2bobob2o2bo3bo2b2o3bob3ob8o8b2o2b5o2b
4o$3ob2ob3ob2obo2bo2bob2o2b2o2bo4b2ob4o3bo3b2o5b2ob2o2bo4bob2o2bo3bobo
2bo2b2ob2obob3obobo2bo3bobobo2b4o2b3ob4o4b2obo2b2o$3b2obobo2b3o4bobo4b
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3ob2obob2o2bo7bo2bobobobo6bobo$bo2bob3ob2o2b5o2bo2bo4b3o3bo2b2obob3ob
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4b2o2bob2o4b6o2bo3bob4o2bobo4b3o2b2o$2o5bo3bob2obobob3o3bob2o2bo2b6o2b
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2bobo3b3ob4obobo3bo2bo3bo2bobo3b3ob2o$2bo2bob2o2bob4ob2ob3ob2obob3o13b
2o2b2o4bobo2bob2ob3o2b3o3b2obo2bobo6b2obobo2bob4o2bob3obo5b2o2bo4bo5bo
4bo$o5b3o2bo2bo2bob2ob2ob3ob4obob2ob3obo3bo5b2o2bob2obo2b3o3b2obobobo
3b3o7b6obob2o3b2o3bob2obob4ob5ob2ob3ob2o$b2o2bo4b4obo4bobobobob4o3bo6b
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2bo4b2o4b3o$obobo2b5ob2ob2ob4o7bob3ob2o2b2obobob5obo2bob2o4b5obo3bo2b
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bob2ob6obo2bobo2b2ob2ob2o2b2o2b3obo3b2o2bob2ob2o5bo2b2o2b4obobobo8bobo
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2ob3obo3b2o5b3obo2bo2bobo2b6o4bobo2bob3ob7o2bo2bob4ob3ob2o6bo$3ob2o3bo
2b3ob3o2bo4b3o2b4o2bo2b2o2b5obo2b3o2bo3b2obo4b2obo4b2obobo2b2o6b2o2b3o
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b5o4bobobo2b2ob3o2b3o3b4o2b3ob2o6b2o2b2o2b6obo3b3ob6o3bo4bo2b2o$obob4o
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2b2o2bobo4b11obobo4b2ob4o2b5obob4ob3obo4b2o3bo3bob4o2bobo3b2o2bob2o$3o
3b4o2b2ob2o3bobo6b2obo5b2obo3bob10ob2o2bo2bo3bo2bo4b4obo3b3o3b4o2b2o2b
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2bobo4b3o2b5o3b3o4bo2bobo6b3ob2o2b3obobobobo2bobo2b3ob4obo2bo$6o2bo4b
4o2b4obo3bob5o3b3o4bob2obob2o4bob2obo2b2o2b2obo3bo2bo2b2obobo2b2o4b3ob
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3ob4obo3b2o5bo3b2o2bobo3b2o3bo4bo2b2obo4b5ob4ob4o3b5ob3o2bo$5bobobobob
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4b4o3b2o2bo2b3ob2ob2o$8o4bobo2bob3ob3o3bo3bobo2bo3b3obo2bo4bobo2bob3o
3b3o2b2ob3obo2b2o2bob2o3bo3b2o2b2ob2obobob4obob2o3b6o2b2obob2o2bo$o2bo
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5b2obo2b2obo3b3o6bob4o4bobob4ob5o2bo$bo3b2ob2obobob2obo2bobo6b2o4b2o4b
2obobo3bo3bobob5o2b2ob3o2bob2obobob2ob4obo2b3o5b4ob6obob2obob2o4b2obob
6o$3b7o2bob4obobo3bobo2b6obo2bobo2bo2b2obo3bo2bo2bo5bo2bo5bob6ob3ob2ob
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3ob3obob3o2b2ob7o2b2obob5o3bo2bo3b7o3bo4b2o2b2o2b2obo3b4o2bob2o$3o6bob
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5o2bo2bo2b3o2bobob2obo7bo$ob2o3bobobo2bo3bo2b2obobo2bo2bobob2o2b2o2bo
3bo6bo6bobobob4o2bob4ob2o6b2ob7o2b2o4bo2bobo5bo3b2o5b3o2b2o2bobo$2obo
4b2ob5o5bobo3bo2b3o3b2o2b2obob2o4b2ob2o3b3ob3o3b2o3b2o3b2o2bo2b8o3b2ob
2o3bo3b6obob4o2b2ob2o4bo6bo$3b2ob3obob4ob3o2bob3obobob2o5bob3o2b4o2b3o
bo3b2o3b3o2b3o5b8obobo2bo4b3ob4obob2o2bo3bo3b2o4b2ob3o3bo3bo$b2ob3ob2o
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2o2bobo5b3obo5bo3bo4bob4ob2o2bob2obo5bobo3bobobobobo3bo2b2obob4ob2ob5o
3bo$ob2obob7o2b3obobob2ob2o2bo3bob2o4bo2b2ob4o3b3o2b2obo2bo4bob4o2b2ob
2o3bob2obob4obobo6bob2o5bob8ob2o7b3o$4o2bob3o2bo2bo4bob4o2b4obobobo3bo
3bo2b2ob2o5b7ob2o4bobo2bo2bo2bo2bobob4o2bo2bo2b3ob2ob2o5bobob3ob2ob2o
2bobo3bobo$2b2o2b3ob2obob2obobo7b2o2bo3bo2b2ob2obobo2b2ob3o3bob3ob2ob
2o2bo2b3o2b2obobo4b2obo2bobo3b3o7bo3b2o2bob4ob2ob2obob3o2bo$obobob4ob
3o3bo2b2obo2bo2bob2o4bob2obo2bo2b4obo3bobob2o3bobob2o5bo2bobobo3bo3b3o
3b2o9b4ob2ob3o2bo3b4o4bobo3bo$bobo2b2o2b3ob6o2b2ob2ob2obobob3o3bo5b4ob
o4b3ob2ob2o3bob2o2bobo2bob5o3b2obob4ob3obob4o5bo2b2o4b2ob3o3b2o2b4o!

[AforAmpere]

A new batch of files is uploaded. I have not had access to my computer for a while, so I could not update, but now that I can, here it is. The Oblique Ships file is around 1.4MB, the largest.

[toroidalet]

4-cell 8c/35:

Code: Select all

x = 2, y = 3, rule = B3-y6c7e/S23-c6c
o$2o$o!

[AforAmpere]

Thanks, sorry for the long wait.

[AforAmpere]

Files updated again, with an important addition. The final 3 files, ending with .wiki.txt are for copying and pasting into the wiki, in the charts. This will make creating the charts much easier, and I would love some help.

[wildmyron]

@AforAmpere: That's quite an impressive update. It seems that you've been running your own B-ship search with a rather high value for maxgen (>2000). While comparing with the previous update I realised that I broke the update script for sss format ships with the update to support better rle import. I've fixed this in the latest version. There's also a change to the output to "Updated ships.txt" so that a list of ships which were updated is also printed to the update file (as well as a file name change). I considered overwriting the file each time the update script is run, but left it as append.

Any farther in the 6c/7 search?

It's still inching along. There are 9 partials now, it has reached a depth of 417 and deepening rounds are extending by 850 and taking nearly half a day. I wish I could modify gfind to to do a plain DFS search from this point on, I think that would come to a conclusion a good deal faster than the current search.

As you may have guessed, this search failed to find any ships. Along the way I did however learn a few things about how gfind works and how to tweak it's operation to better cope with partials that support many different puffers. In particular: the DFS phase disables hashing which means that the deepening phase has to search all the way through to the end of the deepening amount in a similar way to zfind. In the scenario where each BFS round only deepens by one or two rows and the minimum deepening amount is set to the period (7 in this case) gfind ends up running the search in an extremely inefficient way.

Back at it again with the spaceships found by [playing around with rules]

<snip>

Note that some of the higher-population ones are sparky ships which can probably be reduced. A singular version of the 31c/82 may be possible.

Wow, that's revealed quite a productive search space for interesting orthogonal speeds. Here's my favourite result so far:

8 cell 15c/157:

Code: Select all

x = 4, y = 5, rule = B3-ck4c5cjk6an7/S3-k4-ry5-jn6c7e8
bo$2bo$4o$2bo$bo!

I finally got around to following up on this after making a change to my search script to not output duplicate results (It was far too productive for this search otherwise). Attached is a compressed text file with 3358 results (mostly new speeds and some improvements) which includes many interesting high period orthogonal ships. Here are a few examples:

smaller 22c/61 orthogonal

Code: Select all

x = 4, y = 3, rule = B2n3-ck5cjk6an7/S2n3-k4-nryz5-jn6c7e8
o2bo$b3o$o2bo!

smaller c/98 orthogonal

Code: Select all

x = 4, y = 3, rule = B2n3-k4e5cj6aen7/S2n3-k4-cnry5-jn6cen7e8
o2bo$3o$o2bo!

smaller 21c/161

Code: Select all

x = 4, y = 3, rule = B2n3-c4c5jq6an7/S2n3-k4-nry5-jn6cen7e8
2obo$3o$2obo!

23c/51 orthogonal

Code: Select all

x = 10, y = 9, rule = B2n3-k4q5jq6ae7/S3-k4-cjry5-cjn6c7e8
2bo$2o2$6b3o$6b4o$6b3o2$2o$2bo!

c/93 orthogonal

Code: Select all

x = 4, y = 3, rule = B2n3-c4c5cjkq6an7/S2n3-k4-cnry5-cjn6cen7e8
o2bo$3o$o2bo!

43c/101 orthogonal

Code: Select all

x = 5, y = 3, rule = B3-c4e5cj6an7/S2n3-k4-cnryz5-cjn6ce7e8
2b2o$5o$2b2o!

c/189 orthogonal

Code: Select all

x = 7, y = 5, rule = B2n3-c4q5jk6an7/S2n3-k4-nry5-cjn6ce7e8
b4o$bo2b3o$4ob2o$bo2b3o$b4o!

60c/267 orthogonal

Code: Select all

x = 2, y = 5, rule = B2n3-k4cq5cjk6aen7/S2n3-k4-cnryz5-jn6c7e8
bo$bo$2o$bo$bo!

111c/647 orthogonal

Code: Select all

x = 34, y = 3, rule = B34eq5jk6aen7/S2n3-k4-jnryz5-cjn6ce7e8
2o29b3o$bo28b4o$2o29b3o!

240c/1164 orthogonal

Code: Select all

x = 5, y = 3, rule = B3-ck4eq5cjkq6a7/S2n3-k4-cnryz5-cjn6cen7e8
bo$5o$bo!

2c/1413 orthogonal (despite appearances, it is a spaceship heading east)

Code: Select all

x = 4, y = 3, rule = B2n3-ck4ce5cjk6aen7/S2n3-k4-jnryz5-jn6ce7e8
o2bo$3o$o2bo!

In the same file there's another 911 ships (including 104 new speeds) which came from a different search (these all have period < 600). They are appended after the above collection.
Some examples:

29c/61 orthogonal

Code: Select all

x = 3, y = 3, rule = B3-en4jknqrw5-ikqr7c8/S23-cq4ei5aj6cn7c8
2o$b2o$2o!

c/302 orthogonal

Code: Select all

x = 3, y = 3, rule = B2n3-cen4cenqryz5aery6cek8/S23-ckq4eijz5jk6cen8
2o$b2o$2o!

smaller 11c/55 orthogonal

Code: Select all

x = 2, y = 3, rule = B2n3aijry4cjqty5ejny6ack7c8/S023-ckq4ei5acqr6cin8
bo$2o$bo!

smaller 19c/183 orthogonal

Code: Select all

x = 2, y = 3, rule = B3-en4cqyz5-cikq6ek8/S23-k4ceijk5qr6cn8
2o$bo$2o!