Smallest Spaceships Supporting Specific Speeds (5s) Project

[toroidalet]

7c/27 orthogonal, 72 cells

Code: Select all

x = 15, y = 66, rule = B2k3/S23-a4i
o$o5b3o$o4$13bo$13b2o$12b2o$bo$b2o$2o2$12b2o$13b2o$13bo$2o$b2o$bo10$bo
11bo$b2o10b2o$2o10b2o5$2o10b2o$b2o10b2o$bo11bo10$bo$b2o$2o$13bo$13b2o$
12b2o2$2o$b2o$bo$12b2o$13b2o$13bo4$o$o5b3o$o!

(4,6)c/30, 9 cells

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x = 6, y = 3, rule = B2k3-jq6a78/S2e3-qy4-city5-eq6a
3b3o$3ob2o$5bo!

6c/22 diagonal, 72 cells

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x = 21, y = 21, rule = B3-jq6a78/S2e3-qy4-city56a
11bo2$6b2o$5b3o$6bob2o$3bo3b2o4b3o4bo$2b3o8b3o3b2o$2b2obo13b2o$4b2o5b
2o$4bo6b2o4b2o$19bo$o7b2o7bob2o$8b2o7b3o$5b2o11bo$5b2o$5b2o2$9bob2o$9b
o2b2o$6b2o2b3o$5b3o3bo!

[AforAmpere]

It took a while, but here is orthogonal speeds, along with an updated oblique speeds file. The orthogonal speeds contains everything from the original list, the NSWSS thread, here, and a lot more. It will be a while before the diagonal speeds file is ready. I will use AbhpzTa's rue when it has minimum population, because it still counts as a ship. For example, I used a C/26 orthogonal from his rule because it had a lower minimum population than the previously smallest ship.

EDIT: Finally, a 5c/12!, added it.

Code: Select all

x = 7, y = 7, rule = B2ce3ai/S1c24-i5
2bo$bobo$o4bo$bo4bo$o4bo$bobo$2bo!

[83bismuth38]

Most rules generally contain 1-2 natural ships or puffers that can be made into ships.

yeah, except pretty much every rule i search. (either not interesting or explosive)

[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).

Most rules generally contain 1-2 natural ships or puffers that can be made into ships.

Usually I only get 1.

[AforAmpere]

Here is a collection of a lot of ships, from various places, and all from the previous collection, it also has everything from this thread:

EDIT, extremely important update, now has ridiculous quantities of three-cell ships, thanks to Wildmyron's new spaceship script, Ill leave it to him to share it. I have not gotten even close to adding all of the stuff from it, but there is a lot here. There are probably about 50 new knightships in the oblique ships file.

Another edit, here is a smaller B1e c/2 diagonal for A for Awesome:

Code: Select all

x = 3, y = 3, rule = B1e2c3ar/S01e4i5i6ai
obo$o$b2o!

[AforAmpere]

Next major update, there are 3-cell (2,1)c/x for x from 5-23 and 25-26, and what I believe to be all ships with period 28 or less. These are some speeds that I need for non B2a or B1e rules. If anyone has found any of these, please submit them here.

Code: Select all

6c/13

7c/15

8c/17

5c/18

9c/19

7c/19

9-7c/20

10c/21

9c/21

7c/21

9c/22


4c/13 d

5c/15 d

4c/17 d

6c/18 d

5c/18 d

6c/19 d

5c/19 d

4c/19 d

6c/20 d

7-5c/21 d

3c/21 d

[toroidalet]

9-cell 54c/506 ship:

Code: Select all

x = 4, y = 4, rule = B2i34ik7/S23-a4ikn5j7
2bo$b3o$bobo$ob2o!

11-cell 4c/115 ship:

Code: Select all

x = 6, y = 7, rule = B2i3-c4cet8/S23-c4e
bobo$4bo$o4bo$5bo$o4bo$4bo$bobo!

[wwei23]

6c/16(Smallest I could find):

Code: Select all

x = 7, y = 5, rule = B2e3/S23-r
5b2o$5b2o$b2o$3o$b2o!

[drc]

2c/34 ortho, 9 cells:

Code: Select all

x = 7, y = 3, rule = B3/S2-c3-n4ekrz5y7e
2o4bo$2o2b3o$5bo!

(9,7)c/276, 9 cells:

Code: Select all

x = 3, y = 5, rule = B3/S2-c3-n4eikrz5y7e
3o$3o2$b2o$bo!

[AforAmpere]

Thanks, added them, the 2c/34 and 6c/16 orthogonal had a 3-cell example, I just haven't added them in yet, but thanks. The next update will probably have a bunch of new speeds, I have still not added all known 3 cell ships. The hardest speeds to find are those just under c/2 with an odd period, like 6c/13. Based on the new 3c/5, which is in the orthogonal collection, I feel like a 3c/4 orthogonal is close.

[toroidalet]

I'm really struggling to post stuff here, what with the invincible 3-cell ships for most speeds, but here's one:
48-cell 14c/44 ship

Code: Select all

x = 19, y = 48, rule = B3-n4w/S23-a4-i
2b4o$2bo2bo$o7$10b3o$12bo$10bo2bo$12bo$10b3o7$o$2bo2bo$2b4o3$7b4o$7bo
2bo$5bo7$15b3o$17bo$15bo2bo$17bo$15b3o7$5bo$7bo2bo$7b4o!

[AforAmpere]

That did not have a three-cell example, most periods above 25, with high numerators, especially prime numerators will not have examples yet. The three-cell list really thins out after p25, so there is a better chance there, or if you find a ship in this speeds above.

[toroidalet]

7-cell 5c/34 diagonal

Code: Select all

x = 4, y = 4, rule = B2n3-n4ejy/S23-a4-ikry
b2o$o2bo$obo$bo!

58-cell 16c/41 orthogonal.

Code: Select all

x = 22, y = 25, rule = B2n3-n4w5y/S23-a4-ikry
3b3o$4bo$2obo3bo8b2o$2o2b2o9bo$3bobo9bo$16b2ob2o$17bo2bo$17bo2bo$16b2o
b2o$15bo$15bo$7b2o7b2o$6b2o3$17b2o$16bo$16bo$17b2ob2o$18bo2bo$18bo2bo$
17b2ob2o$16bo$16bo$17b2o!

Nicely similar to the 16c/40 orthogonal ship I posted earlier.

[AforAmpere]

5c/34 diagonal had an example, but the 16c/41 orthogonal does not, nice! I will upload a file with all known up to p50 soon, I have not quite finished.

[muzik]

0.5c/1:

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x = 2, y = 4, rule = B01367/S0124
o$bo$bo$o!

[wwei23]

0.5c/1:

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x = 2, y = 4, rule = B01367/S0124
o$bo$bo$o!

Strobe lights, anyone?

[praosylen]

0.5c/1:

Code: Select all

x = 2, y = 4, rule = B01367/S0124
o$bo$bo$o!

I don't think that counts. It's not the same pattern on even and odd gens -- it just looks like it.

[muzik]

It's the closest we can get.

[AforAmpere]

It has been a long time since an update for the collection, so here is one, with all of my 3 cell ships up to p100, that I had. This collection now contains probably 300 more ships than the last update, and now allows any contributors to know if there is a three-cell example. I need to add examples for the orthogonal speeds of c/N, where I don't have an example, but that will come later.

[muzik]

2c/84:

Code: Select all

x = 3, y = 4, rule = B3458/S056
2b9o$2o9b2o$2bob5obo$2o9b2o$2bob2ob2obo$bo4bo4bo$3b2obob2o!

[AforAmpere]

2c/84:

Code: Select all

x = 3, y = 4, rule = B3458/S056
2b9o$2o9b2o$2bob5obo$2o9b2o$2bob2ob2obo$bo4bo4bo$3b2obob2o!

Thanks, that is a new speed, but from now on, please orient the ship so that it glides right, and in the phase with the minimum population. Toroidalet does it up higher in the post, if an example is needed.

[muzik]

2c/53

Code: Select all

x = 7, y = 10, rule = B347/S01568
5bo2$2bobobo$3b2o$o2b3o$o2b3o$3b2o$2bobobo2$5bo!

2c/61

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x = 7, y = 6, rule = B3478/S137
3b3o$6bo$2o$2o$6bo$3b3o!

2c/63

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x = 4, y = 11, rule = B34578/S26
bo$2bo$o2bo$o2bo$o2bo$3o$o2bo$o2bo$o2bo$2bo$bo!

Why don't you check the raw glider database for high-priority speeds? That's how i found these last 4

[toroidalet]

Why don't you check the raw glider database for high-priority speeds?

I think that at the moment priority speeds are below period 50.
Your 2c/84, fixed:

Code: Select all

x = 10, y = 13, rule = B3458/S056
3bobo$bobobo$2bobobo$o5bo$obo5bo$bo6bo$o7b2o$bo6bo$obo5bo$o5bo$2bobobo
$bobobo$3bobo!

33 cells
(Smaller population+moves to the right)

[muzik]

c/49:

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x = 7, y = 5, rule = B345/S04578
bobobo$b2ob2o$5b2o$ob2obo$2bobobo!

c/59:

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x = 14, y = 8, rule = B367/S035678
9bo$2b8o$2b9o$14o$14o$2b9o$2b8o$9bo!

c/63:

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x = 7, y = 9, rule = B367/S035678
6bo$bob3o$2b4o$b5o$6o$b5o$2b4o$bob3o$6bo!

c/70:

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x = 7, y = 7, rule = B3568/S3468
2b4o$3b4o2$obo2$3b4o$2b4o!

c/81:

Code: Select all

x = 19, y = 16, rule = B3457/S05
9bobo$9bobo$8bobobobo$8bo5bo$8bo7bo$8bo7bo$2bobobobo9bo$o7bo9bo$o7bo9b
o$2bobobobo9bo$8bo7bo$8bo7bo$8bo5bo$8bobobobo$9bobo$9bobo!

c/86:

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x = 9, y = 8, rule = B3468/S0278
bo6bo$3bo2b3o$o2bo2bo$2bo3bo$2bo3bo$o2bo2bo$3bo2b3o$bo6bo!

c/87:

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x = 8, y = 9, rule = B345/S4578
2bobo$2b3o$2o3b2o$5b3o$2o4b2o$5b3o$2o3b2o$2b3o$2bobo!

[muzik]

c/89:

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x = 16, y = 11, rule = B3457/S057
6bo$6bobo$bo3bobobo$5bo7bo$5bobobo2b2obo$o4bobo5bo$5bobobo2b2obo$5bo7b
o$bo3bobobo$6bobo$6bo!

c/92:

Code: Select all

x = 7, y = 7, rule = B3468/S01678
3bo$3o$4b2o$6bo$4b2o$3o$3bo!