Smallest Spaceships Supporting Specific Speeds (5s) Project

For discussion of other cellular automata.
wildmyron
Posts: 1402
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 23rd, 2019, 12:22 pm

Moosey wrote:Found manually:
I'm on mobile so I can't check the speed; is it known? (8 cells)

Code: Select all

x = 4, y = 3, rule = B35c6n8/S2-i3-a4cintyz5ce6n
3o$o$4o!
This ship is 20c/706 diagonal, and is smaller than the current 11-cell ship in the collection.
wildmyron wrote:I've been experimenting with an additional constraint in the matchPatt2 search - imposing a limit on the maximum dimension of the bounding box. This could be particularly helpful when setting maxGen to a very high value (such as 20000) when there are many rules where the starting pattern evolves into multiple small ships travelling in different directions (Or stationary object plus small ship). Because there's no population periodicity detection these rules will be run until the limit of maxGen and this can slow the search down considerably.

<snip>

Based on this I think a limit of 500 on the maximum bounding box dimension is a reasonable default value.
I think this idea works well enough to be used for most searches. I've updated the searchRule-matchPatt2.py script on the Drive folder with a simplistic change that implements this idea. It can be disabled easily by setting the maxDim parameter to 0.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 24th, 2019, 12:03 am

Well, I have one ship so far. 18c/27o, 3 cells:

Code: Select all

x = 4, y = 1, rule = B2ac3ek4eiqrtwz5-cejq6-c7e/S1e2ik3-iy4jqtwy5cejr6acn7e8
ob2o!
I am currently searching 31c/31o, (12,3)c/15, (8,7)c/29, and 17c/26o.

EDIT: (12,3)c/15 came in (5 cells). Now searching 16c/25o.

Code: Select all

x = 4, y = 5, rule = B2acn3anr4aciyz5kr6ai7c8/S01e2en3-acny4-jknry5aenry6e8
3bo2$3bo$o2bo$3bo!
Last edited by LaundryPizza03 on July 24th, 2019, 2:44 pm, edited 2 times in total.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 22470 spaceships and 998 oscillators from outer-totalistic rules. You are invited to help!

wildmyron
Posts: 1402
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 24th, 2019, 1:45 am

New record holder for the title of "slowest known elementary spaceship in the 2-state isotropic rulespace on the Moore neighbourhood":

c/5953 orthogonal, 12 cells

Code: Select all

x = 29, y = 23, rule = B2-an3acqry4cnw5-cj6cei78/S1c2n3-nqy4acknqtw5-ijkr6ei78
27bo$26b3o9$3bo$obo$3bo9$26b3o$27bo!
From a search inspired by one of 2718281828's contributions. I am amazed it took this long to find a slower ship.
LaundryPizza03 wrote:I am currently searching 31c/31o, (12,3)c/15, (8,7)c/29, and 17c/26o.
Great. If a 3-cell p31 photon is found then there will be 3-cell photons for all periods up to 32. I wonder if p33 will be feasible to find a 3-cell photon as well.

I am currently searching 9c/10o (not hopeful), 13c/15o (slightly hopeful), and 13c/17o.

Edit: some p17 results:

10c/17 orthogonal, 3 cells (improved from 5)

Code: Select all

x = 3, y = 3, rule = B2acn3any4eijrwz5-jqy6ai7e8/S01e3cijkq4knrtwy5-cek6-e7c8
o$2bo$o!
11c/17 orthogonal, 3 cells (improved from 4)

Code: Select all

x = 4, y = 1, rule = B2aci3kq4-jtwyz5e6-k7c/S01e2ckn3ce4iqrty5ejry6ein7e8
ob2o!
12c/17 orthogonal, 3 cells (improved from 4)

Code: Select all

x = 4, y = 1, rule = B2ac3e4aeinry5qr6aci7c8/S12cek3acnr4aceijr5ejry6in7e8
ob2o!
13c/17 orthogonal, 3 cells (new)

Code: Select all

x = 2, y = 5, rule = B2ack3acey4ikw5einqy6ac7/S02a3aej4-acikw5ceky6ac7
bo2$o2$bo!
14c/17 orthogonal, 5 cells (new), 4 cell search unsuccessful.

Code: Select all

x = 2, y = 5, rule = B2acn3ry4aceiwy5eijny6cin7c/S2-c3-inq4jnqryz5aikn6akn7c
bo$bo$o$bo$bo!
Last edited by wildmyron on July 24th, 2019, 10:27 am, edited 1 time in total.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Saka
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Saka » July 24th, 2019, 8:25 am

wildmyron wrote:New record holder for the title of "slowest known elementary spaceship in the 2-state isotropic rulespace on the Moore neighbourhood":

c/5953 orthogonal, 12 cells

Code: Select all

x = 29, y = 23, rule = B2-an3acqry4cnw5-cj6cei78/S1c2n3-nqy4acknqtw5-ijkr6ei78
27bo$26b3o9$3bo$obo$3bo9$26b3o$27bo!
From a search inspired by 2718281828 contributions. I am amazed it took this long to find a slower ship.
Ah, finally!
Some results from a search, ruleSpace cleared

Code: Select all

# Search results matching pattern 2bo$b3o$2o2bo$5o! for 20 gen in rule B2in3-cekn4ikqz5r6n/S2aek3-ae4ity5-ejqy6aei7e8 with searchRule-matchPatt2.py using seed=29
12, B2in3-cekn4ikqz5r6n7c8/S2aek3-ae4eity5ciknr6ein7e, 56, 56, 566, bo$2o3bo$obob3o$6bo$4b2o!
12, B2in3-cekn4ikz5r6i8/S2aek3-ae4ciy5-jqy6aen7c8, 91, 91, 1796, 2bo$b3o$3bo$o2bo$2bo$4b2o$4bo$4bo!
10, B2in3-cekn4ikqz5r6i/S2aek3-ae4eity5-jkqy6-ck, 18, 18, 3350, 2b2o$2ob2o$o3bo$bobo!
8, B2in3-cekn4ikqz5r/S2aek3-ae4ceity5-ajqy6i7e, 42, 42, 552, 2bo$b2o$2o$b2o$6bo!
8, B2in3-cekn4cikqz5r6i7c/S2aek3-ae4ceity5acinr6a78, 58, 44, 220, b3o$o2bo$2obo!
14, B2in3-cekn4cikqz5r6i/S2aek3-ae4ceity5-jkqy6n7c, 112, 0, 418, 2bo$b3o$2o$2o2bo$bo$2bo$2b2o11$4bo!
13, B2in3aijqr4cikz5r7c8/S2aek3-ae4ity5cinr6ai7c, 65, 65, 748, o$2o$o$3bo$bo2bo$4b2o$2b3o$3bo!
33, B2in3-cekn4ikz5r6i/S2aek3-ae4city5-jqy6-ck7c, 42, 42, 704, 11b3o$11bobo$14bo2$12bo$2bobo6b2o$4obo5b2o$o3bob2o2bo$2obo3bo$2bobobo$3b2o2bo!
18, B2in3-cekn4ikz5r6in8/S2aek3-ae4ciy5-ejqy6ein, 31, 24, 290, 7b2o$o4bo2bo$2o3bobo$bo4bobo$6b2o$9bo$7b3o!
8, B2in3-cekn4ikz5r6i8/S2aek3-ae4ceiy5ceinr6a8, 16, 14, 141, b3o$o2bo$2obo!
13, B2in3aijqr4cikqz5r6in/S2aek3-ae4ceity5-jkqy6-ck7e, 16, 0, 1176, 5bo$4b3o$3bo2b2o$6bo$bo2bo$3o!
7, B2in3-cekn4cikqz5r6n8/S2aek3-ae4ceity5acinr7c, 23, 23, 458, 2bo$b2o$2o$bo$2bo!
12, B2in3-cekn4ikqz5r8/S2aek3-ae4eity5-jkqy6ain, 134, 0, 948, 5bo$5b3o$b3o$2o2bo$bo$3bo!
17, B2in3-cekn4ikz5r/S2aek3-ae4ity5-jkqy6ai7e8, 16, 1, 745, 18b3o$19b2o$19bo$18bo$17b2o$17bo4$3bo$bo$ob2o$b2o!
28, B2in3aijqr4ikqz5r6n/S2aek3-ae4city5-ejqy6ai8, 39, 39, 590, 5bo$b3obo$2obobo$b3o$2bo$6bo$5bo$6bob2o$9bo$11b2o$8b2o2bo$9b3o$10bo!
12, B2in3-cekn4ikqz5r6i8/S2aek3-ae4eiy5acinr6e78, 54, 54, 684, 2bo$b3o$3bo$o2bo$2bo$4b2o$4bo$4bo!
12, B2in3-cekn4cikqz5r/S2aek3-ae4ity5acinr6e7e8, 40, 40, 912, o$o2bo$3o11$6b3o$4bobobo!
39, B2in3-cekn4ikqz5r8/S2aek3-ae4ceiy5-jkqy78, 24, 6, 224, bobo$bob2o$2bobo$3b2o$3b2o2b3o$o5bo2bo$6b3o$7bo22$11bo$11b2obob3o$12bo3bo2bo$19bo$18b2o$14bo2bo$15b3o!
20, B2in3-cekn4cikqz5r6i7c8/S2aek3-ae4ity5cinr7e8, 21, 0, 365, 4bobo$5bo$5bo$5bo32$bo$o$2o$4b2o$3bob2o$2bo2bo$bo$bo$b2o!
19, B2in3aijqr4cikz5r6in8/S2aek3-ae4iy5-ejqy6n7c, 20, 16, 178, 9b5o$12b3o$8bo5b2o$10bo2b2o$2o$b2o$2bo!
9, B2in3-cekn4cikz5r6in/S2aek3-ae4ity5-jkqy6ei7e8, 28, 18, 194, 2b2o$b2o$bo$o2bo$2b2o!
20, B2in3aijqr4cikqz5r6n/S2aek3-ae4city5-ejqy7e8, 42, 20, 297, b2o$ob2o$4bo$4bo$4bo$3bo$3b2o$3b2o2b2o$5bo2bo$5b3o!
12, B2in3-cekn4ikz5r6i/S2aek3-ae4city5-jkqy6a, 60, 60, 470, 2bo$b3o$3bo$o2bo$2bo$4b2o$4bo$4bo!
7, B2in3-cekn4ikz5r/S2aek3-ae4ciy5-jkqy6ei7c, 27, 27, 860, 2o$b2o$2o$o!
8, B2in3aijqr4cikqz5r7c/S2aek3-ae4city5acinr6ein8, 30, 30, 560, b2o$obo$o$3o!
25, B2in3aijqr4cikqz5r7c8/S2aek3-ae4ceity5cinr6-ck8, 11, 8, 211, 2b2o$b2ob2o$2o12b3o$bo2bo3bo7bo$2b2o9bo2bo$13b3o17$9b2o$11bo!
8, B2in3aijqr4cikqz5r8/S2aek3-ae4ciy5-ejqy7e, 71, 71, 1170, 3o$2bo$obo$2o!
17, B2in3-cekn4ikqz5r6i/S2aek3-ae4ity5-ejqy6in, 52, 0, 668, 14bo$16bo$13bo2b2o$14b3o$10b3o$12bo6$bo$2bo$3o!
17, B2in3aijqr4cikz5r6n/S2aek3-ae4ity5-ejqy6-ck8, 35, 23, 213, 2bo$b3o$2o2bo$bo$3bo2bo$5b3o9$15bobo5bo$23bo!
9, B2in3aijqr4ikz5r6i8/S2aek3-ae4eity5-jkqy6ae7c, 110, 0, 468, b2o$2obo$2b2obo$2bo!
12, B2in3-cekn4cikqz5r/S2aek3-ae4city5-ejqy6a7e, 26, 0, 680, bo$2bo$o$bo$2bob2o$2bo2bo$2b3o!
13, B2in3-cekn4cikz5r6n/S2aek3-ae4ity5-jkqy6ei7e, 69, 69, 732, bo$o2bobo$4ob2o$3bo2bo$7bo!
14, B2in3aijqr4cikz5r6i7c8/S2aek3-ae4eity5acinr6ai, 68, 0, 900, 2bo$bo$4o$bo4bo$5b2o$o2b3o!
20, B2in3-cekn4ikqz5r/S2aek3-ae4city5-ejqy6ai7c8, 80, 0, 1432, 13bo$4bo7b3o$14bo$b3o$5o7bo$4bo$b3o$2bo!
12, B2in3-cekn4cikz5r6in8/S2aek3-ae4eity5-jkqy6en7e8, 20, 2, 227, o$3b3o$o2bobo2$3bo$3bo$3b2o$5bo!
11, B2in3aijqr4cikz5r6in7c8/S2aek3-ae4ceity5acinr6an7e8, 35, 31, 177, 4obo$o5bo$o$b3o!
44, B2in3-cekn4ikz5r6i8/S2aek3-ae4ceity5-jkqy6ai78, 50, 0, 886, 3o$o8bo$b2o6b2o$2bo6b2o11$25bo$24b3o$24bob2o3$10b4o3b2o$10bo3b2o2bo5bo$10bo2b4o$11b2o2bobo$14bobo$14b3o!
13, B2in3aijqr4cikz5r6i7c/S2aek3-ae4ciy5-ajqy6aei7c, 47, 4, 155, 4bo3$7bo$9b2o$10bo$7b3o$8bo41$o$2o$bo!
32, B2in3aijqr4cikz5r6n8/S2aek3-ae4ity5-jqy6aen8, 18, 13, 198, o16$34b2o$31bob2o2bo$30bo2bo3bo$31bobobobo$26b3o5bo$24b2o2bob2o$24bo3bo2bo$24b3o5bo$31b2o!
11, B2in3aijqr4cikz5r6in8/S2aek3-ae4iy5-jkqy6e7, 102, 0, 898, o$obo$bob2o$bo2bo$2bobo$bo!
10, B2in3-cekn4cikz5r8/S2aek3-ae4ceiy5-ajqy6in7, 26, 13, 130, 2bo$4bo2$2o2bo$o2bo$b3o!
8, B2in3-cekn4ikz5r6n7c8/S2aek3-ae4ceity5-ajqy6n7, 74, 0, 724, bo$b3o$o2bo$2b2o!
12, B2in3-cekn4ikz5r6n8/S2aek3-ae4ciy5-jqy6e7e, 13, 6, 219, 3bo$bo$2o2bo$b3o$5b3o$5bo!
22, B2in3aijqr4ikqz5r/S2aek3-ae4eiy5acinr6ein78, 8, 8, 870, 2o4b2o$obo2bo2bo$5bo2bo$2bobo3bo$2bobo2bo$2bo$2bo2bo$2b3o!
9, B2in3-cekn4cikz5r6i/S2aek3-ae4ciy5-jkqy6aei7, 35, 35, 588, 2b3o$bo2bo$4bo$o$b2o!
24, B2in3-cekn4cikqz5r6i8/S2aek3-ae4ceiy5acinr6ein7c, 43, 43, 1252, b2o$obo9bo$o11bo$3o10bo6$11bo14$18bo$14b3obo$13b2o3bo$14b3o$15bo!
12, B2in3aijqr4ikqz5r6n/S2aek3-ae4ceiy5acinr6in7c, 12, 9, 264, 2b3o$2bo2bo$2bob2o$bo$o$2bo$bo!
13, B2in3-cekn4cikqz5r7c8/S2aek3-ae4ceiy5-jkqy6-ck8, 32, 11, 198, 2bo$b3o$2o2bo$bo$3bo2bo$5b3o!
9, B2in3-cekn4ikz5r6i/S2aek3-ae4ciy5acinr6ai, 20, 0, 1090, o$3o$3bo$3bo$b3o!
8, B2in3aijqr4ikz5r7c/S2aek3-ae4city5cinr6ae, 45, 26, 302, bo$o$o5bo$2obobo!
8, B2in3-cekn4ikz5r6i8/S2aek3-ae4eity5acinr6in78, 36, 6, 238, 2bobo$o2bo$b3o$2bo!
8, B2in3-cekn4ikqz5r7c/S2aek3-ae4ceity5ceinr6aen78, 26, 26, 1200, bo$b2o$3bo$3o$bo!
11, B2in3aijqr4ikz5r8/S2aek3-ae4eity5-ejqy6-ck7c8, 36, 0, 866, 10bo$10b2o$9bo$o$bobo$b3o$2bo!
7, B2in3-cekn4cikz5r7c8/S2aek3-ae4ity5-jkqy6an7, 30, 30, 440, 2bo$2obo$o$2o!
9, B2in3-cekn4ikqz5r6n8/S2aek3-ae4ceity5acinr6ae8, 52, 0, 442, b3o$o$ob2o$2o!
43, B2in3-cekn4cikz5r6n7c8/S2aek3-ae4ceity5ceinr6ae7e, 21, 9, 171, b3o5bo$o2bo4b3o$o2bo4bobo$3o34$29b2o$28b2ob3o$32b2o$29bo2bobo$29bob2obo3bo$33b3o$34bo$33bo$32bo3$33b3o$36bo!
57, B2in3-cekn4ikz5r6i8/S2aek3-ae4ity5-ejqy6a8, 18, 15, 281, 7bo$3o5bo$o3bobobo$4o2b3o$4b2obo2$7bo12b3o$19bo2bo$19bo2bo2b2o$19b2o5bo$24b3o3$8bo$4b2o2b2o$4b3o2bo8$10b3o$8bo2bo$6bo$5b2o2bo$6b3o$7bo!
27, B2in3aijqr4ikqz5r6i8/S2aek3-ae4ity5-jqy6ain78, 42, 18, 148, b3o$bo2bo$o3bo$4o$bo3$5bo$5bo$3bobo$4bo8$11b2o$11bob2o$14bo$14bo$11b3o!
19, B2in3aijqr4cikz5r6i/S2aek3-ae4ceity5ciknr6-ck8, 49, 7, 123, 2b3o$2bo2bo$2bo2$2bo$5bo$4bo$5bo$2bobo$2b2o$o$3o$bo!
7, B2in3-cekn4cikz5r6n7c/S2aek3-ae4ceity5-ajqy6aen7e8, 70, 0, 476, 3bo2$o$o2bo$3o!
12, B2in3-cekn4ikqz5r6i8/S2aek3-ae4city5ciknr6an78, 27, 27, 698, 4b2o$4bobo$6bo$bo2b3o$o2bo$2bo!
18, B2in3aijqr4ikz5r6i7c/S2aek3-ae4city5-jkqy6aei, 132, 0, 1112, 3b2o$bo2bo$o2bo$o2bo$2o3bo8bo$2bob2o8bo$2b2o!
30, B2in3aijqr4ikqz5r8/S2aek3-ae4ceiy5-jkqy6aei8, 38, 0, 820, 2b2o2b2o$bobo3bo$2obobobo$bo2bo$3b2obo5b2o$7bo3bobo$11b3o29$2o6bo$b2o!
7, B2in3-cekn4cikqz5r6in7c/S2aek3-ae4eity5acinr6a7e8, 49, 49, 408, 2bo$b2o$2o$b2o!
11, B2in3aijqr4ikz5r6in/S2aek3-ae4eiy5-ejqy6ae7, 48, 48, 440, 2b3o$2bo$bo2bo$2b2obo$2o!
8, B2in3aijqr4cikqz5r6in8/S2aek3-ae4ceity5acinr6in7c, 19, 9, 380, 2bo$3o$o3bo$2o!
12, B2in3aijqr4cikz5r6i7c8/S2aek3-ae4ity5cinr6aei7e8, 18, 8, 327, 3bo$bo$2o2bo$b3o$5b3o$5bo!
13, B2in3-cekn4ikqz5r6i/S2aek3-ae4ceiy5-jqy6ei8, 10, 10, 3366, 3bo$2b3o$b2o$bob2o$o2bo$bobo!
12, B2in3-cekn4cikz5r6n/S2aek3-ae4ity5ciknr6a7, 26, 8, 177, 3bo$bo$2o2bo$b3o$5b3o$5bo!
12, B2in3-cekn4ikqz5r6in/S2aek3-ae4eity5ciknr6i7e, 40, 1, 288, 2b3o$2bo2bo$2bob2o$bo$o$2bo$bo!
46, B2in3-cekn4cikqz5r6i8/S2aek3-ae4iy5acinr6-ck7e8, 51, 15, 336, 5bo8b2o$4b3o7bob2o$bo4bo4bobo4b2o$o4bobo5b2o4bo$o3b4obo2b2obo3bo$o2bo6bo4bob2o$b3o6bobob2o$13b2o!
47, B2in3aijqr4ikqz5r/S2aek3-ae4iy5acinr6ein7e8, 21, 9, 327, 27bo2bo$13b2o15b2o$14b2o15b2o$12bobo16bo$12bo17bo10$3bo$2b3o$bo2b2o4bo$2o2bo3bo2bo$b3o10bo$2bo4bo2bo3b3o$7bo8bo$7b3o3b4o!
7, B2in3aijqr4cikz5r6in/S2aek3-ae4ceity5-jkqy6ain7, 23, 10, 262, 2bo$b3o$2obo!
6, B2in3aijqr4cikqz5r6in7c8/S2aek3-ae4iy5-jqy6ai7e, 11, 2, 239, 3o$obo$o!
8, B2in3-cekn4ikqz5r6i8/S2aek3-ae4ceity5ciknr6e7e, 54, 0, 420, b2o$2b2o$3o5$8bo!
12, B2in3-cekn4cikqz5r8/S2aek3-ae4ceity5acinr6aen7, 50, 0, 1668, 5o$2o2bo$b3o$2bo!
12, B2in3aijqr4cikqz5r7c8/S2aek3-ae4ity5ceinr6in7e8, 21, 18, 148, 2b3o$2bo2bo$2bob2o$bo$o$2bo$bo!
20, B2in3aijqr4cikz5r6in/S2aek3-ae4ity5-ejqy8, 78, 0, 528, 6bo7$2bo$bo$2o$b2o2bobo$2bobobo$4b2o3b2o$8bo2bo$11bo$10bo!
11, B2in3-cekn4cikz5r8/S2aek3-ae4ceity5acinr6ein78, 31, 2, 156, 3b3o$3bobo$3bobo$3bo$bo$o2bo!
12, B2in3-cekn4cikqz5r6i8/S2aek3-ae4eiy5-jkqy6ain7c, 36, 36, 1080, 2b2o$b3o$2obo$bobo$2b2o!
10, B2in3-cekn4cikz5r6in7c8/S2aek3-ae4ciy5acinr6aen7e, 23, 16, 200, 5b2o$6bo$5bobo$bo3b3o$o!
8, B2in3-cekn4cikz5r6i/S2aek3-ae4ciy5-ejqy7c, 30, 29, 345, bobo$5o$3bo!
8, B2in3-cekn4ikqz5r6i/S2aek3-ae4iy5-jkqy6aen7c8, 36, 0, 804, 3bo2$4obo$o3bo!
5, B2in3aijqr4cikqz5r/S2aek3-ae4eiy5-ejqy6n7c8, 36, 36, 692, bo$bo$2o2$2bo!
11, B2in3-cekn4ikz5r6i7c/S2aek3-ae4ceiy5ceinr6aei78, 52, 0, 666, bo$bobo$2o2bo2$2bo$2b4o!
12, B2in3aijqr4cikqz5r6n/S2aek3-ae4eity5-jqy6-ck7c8, 61, 13, 317, 3bo$bo$2o2bo$b3o$5b3o$5bo!
7, B2in3aijqr4ikz5r6n7c/S2aek3-ae4eity5-jkqy6ai7c, 29, 1, 112, 2bo$b3o$2obo!
12, B2in3aijqr4cikqz5r7c/S2aek3-ae4ity5acinr6en78, 19, 2, 260, b3o$o2bo$4bo$2b3o$b3o!
13, B2in3aijqr4cikqz5r6n/S2aek3-ae4ceity5acinr6ae, 46, 31, 184, 6bo$3o2b3o$o2bo3bo$o$b2o!
12, B2in3aijqr4cikz5r6n8/S2aek3-ae4ceity5-ajqy6ein7c, 32, 0, 199, 3bo3$b2ob2o$2obob2o$o5bo!
11, B2in3-cekn4ikz5r7c8/S2aek3-ae4iy5acinr6ei7c, 40, 24, 264, bo10b2o$12bobo$ob2o9b2o2$bo!
10, B2in3aijqr4cikqz5r/S2aek3-ae4ciy5acinr6i7, 14, 8, 308, 4b2o$2b2obo$bo2b2o$obo!
10, B2in3aijqr4cikz5r6in/S2aek3-ae4ciy5-ejqy6ae78, 44, 0, 750, 5bo$4b4o$o3bo2bo$7bo$6bo!
12, B2in3-cekn4cikz5r6i/S2aek3-ae4ceiy5acinr78, 14, 5, 212, 4bo$3b3o$2bo2b2o$2b3o21$2bo2$o!
39, B2in3-cekn4ikqz5r6in8/S2aek3-ae4city5ciknr6an8, 94, 0, 1104, 50bo$51bo$51bo3$53bo$53b2o$54bo$53bo$48bo2b2o$47b3obo$46b2o2bobo$46bob2o2b2o$46b2o3bo$46b4o35$3o$o2bo$o2$b2o!
12, B2in3-cekn4cikqz5r6n/S2aek3-ae4ity5acinr6-ck78, 90, 0, 996, o2bo5bo$o3bo3b2o$bo2bo$b3o!
13, B2in3aijqr4cikqz5r7c/S2aek3-ae4city5ciknr6e7c, 27, 26, 305, b3o$bobo$2o$o$bo$2o$bo2$3bo!
17, B2in3-cekn4cikqz5r6i/S2aek3-ae4ceiy5-jqy6ain7e8, 73, 73, 372, 4b3o$3bo2bo$3bo2bo$3b3o6$3bo$4bo$3b2o$ob2o!
11, B2in3aijqr4cikqz5r6in8/S2aek3-ae4city5-ejqy78, 52, 0, 1060, obo$3bobo$3bob2o$3b3o$4bo!
10, B2in3-cekn4cikz5r/S2aek3-ae4eity5-jkqy6an8, 53, 53, 970, 4bo$5bo$2o$o$2obo$2b2o!
12, B2in3aijqr4cikqz5r6n8/S2aek3-ae4city5-jqy6-ck7c, 62, 62, 3534, b2o$2bo$b2o$bo$obo$2bo$3o!
11, B2in3aijqr4ikqz5r6in8/S2aek3-ae4eiy5cinr8, 46, 0, 570, 5bo$4bo$o2b2ob2o$4b3o$5bo!
12, B2in3-cekn4cikz5r/S2aek3-ae4ceiy5-jkqy6a, 94, 0, 752, 4bo$6bo$3bo2b2o$4b3o$3o$2bo!
8, B2in3aijqr4cikqz5r6i8/S2aek3-ae4ceiy5-ajqy6in, 6, 6, 1414, 3o$o2bo$o2bo$3bo!
26, B2in3aijqr4cikz5r/S2aek3-ae4ciy5-jkqy6a7e, 67, 5, 183, 5b3o$5bo2bo$4b2o$6bo2bo$8b2o$9bo$8bo$5bo$3bo$2b2o$2bo$bobo$b3o$o3bo2$4bo!
21, B2in3-cekn4ikqz5r6n8/S2aek3-ae4eity5-ejqy6aen7c, 1, 1, 1432, 4bo$3b3o$2bo2b2o2$4bo$3o$o2bo$o2bo$bobo2bo$2bobo$5bo!
10, B2in3-cekn4cikz5r6n/S2aek3-ae4ceiy5cinr6n7, 68, 0, 764, bo$2ob2o$4b2o$b2o2bo!
8, B2in3aijqr4cikz5r6in/S2aek3-ae4ceity5-jkqy6-ck7c, 44, 0, 644, 3o$o$3o$2bo!
6, B2in3aijqr4cikz5r6i7c8/S2aek3-ae4ceiy5ceinr6-ck7e8, 36, 4, 188, b2o$2o$o$2bo!
12, B2in3-cekn4ikqz5r6i7c8/S2aek3-ae4city5ceinr6ai7e8, 50, 50, 552, bo$bo$2o$3bo$2bo2bo$2bo$2b3o$3bo!
11, B2in3aijqr4cikqz5r6in8/S2aek3-ae4ity5-ejqy6ei7c, 63, 4, 244, 3o$obo$o$3bo$4bo$3b2o$2bo!
9, B2in3-cekn4ikz5r6in7c8/S2aek3-ae4eity5ceinr6ei7c, 68, 0, 482, 2bo$3b2o$2bob2o$2bo2bo$o!
9, B2in3-cekn4cikz5r8/S2aek3-ae4city5-ejqy6a7, 23, 1, 322, 4b2o$2b2obo2$2o$obo!
11, B2in3aijqr4cikz5r6i8/S2aek3-ae4ceity5acinr6aei8, 6, 0, 2246, o$2o$b4o$bo2bo$3bo$3bo!
10, B2in3aijqr4cikz5r6n7c/S2aek3-ae4eiy5acinr6a, 69, 69, 426, bo$3o$obo$2bo$2bo2bo$4bo!
19, B2in3-cekn4ikqz5r6i/S2aek3-ae4ceiy5ceinr6aei, 42, 0, 3980, 2bo$o2bo$o2bo$bo11$3b2o$2b2o$4bo$4bo$5bo$b2o$2b3o$3bo!
23, B2in3aijqr4ikqz5r6i/S2aek3-ae4city5-ajqy6an7c8, 16, 13, 346, 8b3o$8bo2bo$7bo3bo$7b4o$8bo9$2o$obo$obo$bo7$3b2o$3bo$5bo!
6, B2in3aijqr4ikz5r6n/S2aek3-ae4iy5-jqy6ai7e, 52, 52, 410, 2bo$2bo$2bo$o$2o!
11, B2in3-cekn4cikqz5r6n8/S2aek3-ae4ity5-jqy6ain7c, 22, 5, 511, bo$b2o$obo$bo13$6bo$5b3o$5bo!
19, B2in3-cekn4cikqz5r6in8/S2aek3-ae4city5-ejqy6ain7, 88, 0, 966, 2bo$3o$bo$5bo$5bo$bo2bobo$4b2o$o3bo$bo2bo$b3o!
12, B2in3-cekn4cikz5r6n7c/S2aek3-ae4iy5-jqy6aei7e, 9, 1, 409, 3bo$bo$2o2bo$b3o$5b3o$5bo!
22, B2in3-cekn4ikz5r7c/S2aek3-ae4iy5acinr6ein78, 36, 25, 151, 2o$b2o$2o4b2o$6bobo$6bobo3bo$9bo$4bobo$4bobo$4b3o$5bo!
6, B2in3-cekn4ikqz5r6i7c/S2aek3-ae4iy5ceinr6ein7e, 28, 0, 514, bo$o$2o$b2o!
11, B2in3aijqr4cikqz5r7c8/S2aek3-ae4iy5-jqy6in8, 17, 6, 209, 2bo$b3o$2obo5$b2o$bo$bo!
33, B2in3aijqr4ikz5r6n8/S2aek3-ae4ceiy5-jkqy6ein7, 31, 27, 244, 15b3o$14bo2bo$17b2o$b2o10bo2bo$o2bo10bo$o2bo17b2o$2o17bobo$3b2o13b2o2bo$2b3o12bo2b2o!
12, B2in3-cekn4ikqz5r6n8/S2aek3-ae4eity5ciknr6a7, 25, 24, 253, 3bo$bo$2o2bo$b3o$5b3o$5bo!
27, B2in3-cekn4ikz5r8/S2aek3-ae4ity5ciknr78, 12, 12, 2066, 5bo$4b3o$3bo2b2o$6bo$2bo2bo$6bo$3b3o2bo$4bo$8b2o$8bobo$8bo8$o$5bo$4b2o$4bo$5bo!
11, B2in3aijqr4ikz5r6n/S2aek3-ae4ceiy5acinr6n8, 7, 2, 288, 4bo$2bobo$2obo$o2bo$obo$3bo!
11, B2in3-cekn4ikqz5r/S2aek3-ae4ciy5acinr6-ck, 28, 26, 443, 8bo$7b2o$7bo6$bo$3o$o2bo$2bo!
12, B2in3-cekn4cikqz5r6i8/S2aek3-ae4eity5ceinr6-ck7, 11, 8, 230, 2b3o$2bo2bo$2bob2o$bo$o$2bo$bo!
6, B2in3-cekn4ikqz5r6n7c/S2aek3-ae4iy5-jqy6ain8, 15, 0, 178, 3o$obo$o!
12, B2in3-cekn4ikqz5r6i/S2aek3-ae4iy5-ajqy6i7e8, 20, 13, 226, 2b3o$2bo2bo$2bob2o$bo$o$2bo$bo!
14, B2in3aijqr4cikqz5r7c/S2aek3-ae4ity5acinr6-ck, 27, 27, 670, 4o$obo$4bo$b3o$2bo12$40b2o$40bo!
8, B2in3aijqr4cikz5r6i7c/S2aek3-ae4iy5-ajqy6en8, 57, 57, 726, 2b2o$3bo$ob2o$2o!
21, B2in3aijqr4ikqz5r6i/S2aek3-ae4eiy5-jkqy6en8, 13, 13, 1100, 16bo2$3bo$2b3o$bo2b2o$2o2bo$bo$3b2o$4b3obo$5bobo$6bo!
12, B2in3-cekn4cikqz5r6n/S2aek3-ae4ceity5ciknr7, 25, 5, 357, 2b3o$2bo2bo$2bob2o$bo$o$2bo$bo!
25, B2in3aijqr4ikz5r6i/S2aek3-ae4city5acinr6n, 40, 30, 222, 2b3o$2bo2bo$2bo2$5bo2$4bobo$5b2o$10b3o$o8bo2bo$b3o$bob2o$2b2o!
8, B2in3aijqr4cikz5r6i7c/S2aek3-ae4ciy5-ajqy6aei7, 78, 0, 376, 3o$obo$3bo$2b2o!
33, B2in3-cekn4cikqz5r6i8/S2aek3-ae4ciy5-ejqy6n8, 16, 14, 324, 3b2o$3bob2o6b2o$o3b2obo4bo$2o3bob2o$bo2bo3bo$4bo3bo$bo5b2o$3b2o4bo$4b2ob3o!
16, B2in3-cekn4cikqz5r6i8/S2aek3-ae4ceity5-ejqy6an7e8, 4, 1, 279, 14b2o$15b2o$10bo4bo$10b2o$11b2o14$bo$obo$obo$bo!
28, B2in3-cekn4cikqz5r6i/S2aek3-ae4ceiy5-ajqy6ain7, 34, 22, 594, 2b2o$bobo$bo2$bo9b3o$bo7b2o3bo$obo7bo3bo$b2o6bo2b3o$9bobo$9b3o!
34, B2in3aijqr4cikz5r6in7c/S2aek3-ae4iy5-ejqy6aen7c, 88, 0, 400, 42b3o$42bo2bo$42bob2o$44bo$5bo39bo$4b3o$3bo2b2o37bobo$6bo36b2ob2o$bo2bo$3o$10bo$10bo$10b3o!
10, B2in3-cekn4ikz5r6n7c/S2aek3-ae4eity5acinr6ai8, 33, 24, 158, 4b2o$5bo$b2ob2o$o$o$bo!
11, B2in3-cekn4cikqz5r6n8/S2aek3-ae4ceity5acinr6aen7e, 64, 0, 748, 2bo$b3o$o2bo$4bo$3o$2bo!
26, B2in3-cekn4cikz5r6in/S2aek3-ae4eity5ciknr6an7e, 79, 79, 1276, o5b3o$4b3o2bo$2b2obo3bo$5bob3o$6b2o10$31bo$30b3o2$34bo$34b2o$34bo!
36, B2in3aijqr4cikz5r6i/S2aek3-ae4eiy5-ejqy6an78, 76, 0, 564, 4bo$3bob2o$bo4bo$bobo2b2o$2o4bo$4b2o$bo$2bo2bo$2b3o8$25b3o$24bo2bo$24b2obo7$28b2o$28b3o$29b2o!
19, B2in3-cekn4cikqz5r8/S2aek3-ae4ity5-ejqy6e8, 18, 0, 1342, 7bo$6b3o$6bobo15$o$2o$o$3bo$bo2bo$4b2o$2b3o$3bo!
12, B2in3aijqr4cikqz5r6n/S2aek3-ae4city5acinr6in, 38, 12, 244, 3bo$bo$2o2bo$b3o$5b3o$5bo!
34, B2in3-cekn4cikqz5r6n7c/S2aek3-ae4iy5-jqy6aen, 28, 0, 772, bo3bo13b2obo$o4bo3bo9bo2bo$o3b5obo9b2ob2o$o2b3o2bo$b2obo15bo2bo$20b3o!
12, B2in3aijqr4ikqz5r6n8/S2aek3-ae4eity5-jqy6ein7c, 50, 10, 576, b2o$b2o$2bo$2bo$3bo$o2bo$b3o!
8, B2in3-cekn4cikz5r6in8/S2aek3-ae4iy5ceinr6e7e8, 4, 3, 404, b3o$o2bo$o2bo$bo!
12, B2in3-cekn4cikqz5r6i/S2aek3-ae4iy5-ejqy6e7c8, 37, 37, 1190, 2bo$b3o$3bo$o2bo$2bo$4b2o$4bo$4bo!
49, B2in3aijqr4ikqz5r6n/S2aek3-ae4ceity5acinr6-ck8, 30, 19, 304, bo$2o$obo2$2ob2o$o3bo2$b3o$2bo5$9bo$8b3o8bo6b3o$7bo2b2o15bo2bo$6bob2obo13b2o4bo$7b5o8bo6bo3bo$19bobo7b3o$20bo!
8, B2in3aijqr4cikqz5r6in8/S2aek3-ae4city5-jqy6-ck, 20, 19, 182, b2o$o2b2o$3bo$6bo$5bo!
8, B2in3aijqr4ikz5r6i8/S2aek3-ae4ity5ciknr6in8, 86, 0, 916, 2o$b2o$2b2o$b2o!
49, B2in3aijqr4ikqz5r/S2aek3-ae4ceiy5acinr6e7, 28, 28, 940, b3o$o2bo$o2bo$3b2o$5bo$5b2o$bo2bobo$o3bo$b2obo$b2o16b2o$21bo$18bo$19b2o10$35b2o$13bo21b3o$12b3o20bob2o$12bobo20bobo$13b2o20b2o$13bo!
39, B2in3-cekn4ikqz5r6n8/S2aek3-ae4ceiy5-jkqy6ai7c8, 24, 16, 776, 4bo$3bob2o$5bobo4bo$7b2o4b2o$2bo5b3o3bo35b2o$9b2o3bo34b2o$b2obo5bo2bo34b2obo$2obo45b2o$b2o47bo!
17, B2in3aijqr4cikz5r6n8/S2aek3-ae4ity5cinr6in78, 43, 1, 165, 23bo$b3o19bo$bobo19bo$o22bo$ob3o$2obo!
18, B2in3aijqr4ikqz5r6n/S2aek3-ae4eiy5ceinr6aei, 65, 16, 273, 10b2o$9b2o$o8bo3$b3o$2b3o$4bo$o2bo$b3o!
I'll try to run a search with that new record holder without the two oscillators on the side.
EDIT: It's extremely productive!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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User avatar
Gustone
Posts: 614
Joined: March 6th, 2019, 2:26 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Gustone » July 24th, 2019, 12:22 pm

whats the closest obliques to ortho and diag?
My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!

wildmyron
Posts: 1402
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 25th, 2019, 5:19 am

Gustone wrote:whats the closest obliques to ortho and diag?
The shallowest is (96, 1)c/212 which came from one of my B-hep searches with matchPatt2:

Code: Select all

x = 7, y = 6, rule = B3-cnqy4ekz5ck6c7c8/S2-i3-ak4-ajkqw6aci7c8
4bo$4b2o$5b2o$2obobo$o2b2o$b2o!
The steepest is (49, 48)c/590. I'm not sure where this one came from, but it's recent. @AforAmpere: do you have a record of adding it in one of your updates?

Code: Select all

x = 52, y = 56, rule = B2in3aijqr4ikz5cr/S2aek3-ae4ceity5cinr6ai8
o42$50b2o$47bob3o$47bo$49bo$42b3o3b2o$41bo2bo$41bo2bo$41bo2b2o$42b2o3b
2o$48b4o$46b3o2bo$47b2ob2o$47bobo$47b3o!
You can check this kind of thing yourself by using Saka's 5Ssort.py script, obtaining a copy of the 5S collection (get the 5S_Collection.zip file from the link in my signature and unzip to the same folder as the script) and running the following commands:

Code: Select all

python 5Ssort.py Oblique\ ships.sss.txt slope-period up -d 1
python 5Ssort.py Oblique\ ships.sss.txt slope-period down-up -d 1
This will give you the lowest period ships with the highest and the lowest slope. Incidentally, I think the slope for oblique ships is inverted from what it should be. Instead slope should be calculated as:

Code: Select all

def slope(x,y):
    if x*y==0:
        return 0
    else:
        return min(x,y)/max(x,y)
This means orthogonal ships will have slope 0, ships close to orthogonal will have slopes close to 0, ships close to diagonal will have slopes close to 1, and diagonal ships will have slope 1.

========

Some further LLs results:

12c/18 orthogonal, 3 cells (improved from 4)

Code: Select all

x = 3, y = 5, rule = B2-e3y4qty5i/S1e2cei3k4nrt5ar
2bo2$2bo2$o!
14c/18 orthogonal, 3 cells (improved again)

Code: Select all

x = 2, y = 5, rule = B2-ei3qy4it5cikq6i/S01e2i3ay4aijq6ai7e
bo2$o2$bo!
11c/19 orthogonal, 3 cells (improved from 5)

Code: Select all

x = 4, y = 1, rule = B2-ek3qr4eijnr5-cjnq6cik/S2cik3aejk4aeikz5-ainr6ci78
ob2o!
12c/19 orthogonal, 3 cells (improved from 4)

Code: Select all

x = 4, y = 1, rule = B2aci3ace4nr5inry6n7/S2ei3ejnry4aiknr5cjkry6cei
ob2o!
13c/19 orthogonal, 3 cells (new)

Code: Select all

x = 4, y = 1, rule = B2-ek3ek4ciknty5ejn6a7e8/S02ai3aeinq4aqrwz5ir6aei78
ob2o!
14c/19 orthogonal, 3 cells (new)

Code: Select all

x = 4, y = 1, rule = B2acn3e4aijnt5aeiqy6a/S1e2ik3ae4aen5ciqr6kn7e8
ob2o!
15c/19 orthogonal, 3 cells (new)

Code: Select all

x = 2, y = 5, rule = B2ack3qy4acinq5ekr6ik7e/S01e2e3aqr4aekqt5ci6an7c
bo2$o2$bo!
that last one is now the fastest sub-lightspeed 3-cell spaceship in the collection.

========

I will be updating the collection a bit later today with the recent results and some other search results from the search that found the c/5953 orthogonal.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

User avatar
Saka
Posts: 3433
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X
Contact:

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Saka » July 25th, 2019, 5:39 am

15122 ships, rulespace cleared.
matchPatt2-test.zip
(271.33 KiB) Downloaded 48 times
highlights:
Slowest: c/2400o

Code: Select all

x = 4, y = 3, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bo22bo$2o23bo$bo22bo!
Highest period: p5748

Code: Select all

x = 4, y = 3, rule = B2-an3aqry4cwyz5-cj6-kn78/S1c2n3-nqy4acknqtw5-ijr6ei78
o$bo18bobobo$o!
Fastest: 99c/201

Code: Select all

x = 43, y = 5, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
bo8bobob2o2bo14bo$2bo6bob7o2bo13bo5bobo$2obo5b4obobo2b2ob2o8b2obo4b2o$
2bo6bob7o2bo13bo5bobo$bo8bobob2o2bo14bo!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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Gamedziner
Posts: 796
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Gamedziner » July 25th, 2019, 8:13 am

Saka wrote: Slowest: c/2400o

Code: Select all

x = 4, y = 3, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bo22bo$2o23bo$bo22bo!
p16:

Code: Select all

x = 26, y = 3, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
2o7bo6bo7b2o$2bo5bo8bo5bo$2o7bo6bo7b2o!
p255:

Code: Select all

x = 5, y = 5, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bobo$2ob2o$2bo$2ob2o$bobo!
Saka wrote: Highest period: p5748

Code: Select all

x = 4, y = 3, rule = B2-an3aqry4cwyz5-cj6-kn78/S1c2n3-nqy4acknqtw5-ijr6ei78
o$bo18bobobo$o!
2c/28:

Code: Select all

x = 5, y = 4, rule = B2-an3aqry4cwyz5-cj6-kn78/S1c2n3-nqy4acknqtw5-ijr6ei78
bobo$2bo$o3bo$bo!
Saka wrote: Fastest: 99c/201

Code: Select all

x = 43, y = 5, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
bo8bobob2o2bo14bo$2bo6bob7o2bo13bo5bobo$2obo5b4obobo2b2ob2o8b2obo4b2o$
2bo6bob7o2bo13bo5bobo$bo8bobob2o2bo14bo!
p16:

Code: Select all

x = 3, y = 19, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
bo$obo15$obo$bo!

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

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Saka
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Saka » July 25th, 2019, 8:49 am

Gamedziner wrote: p16:

Code: Select all

x = 26, y = 3, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
2o7bo6bo7b2o$2bo5bo8bo5bo$2o7bo6bo7b2o!
p255:

Code: Select all

x = 5, y = 5, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bobo$2ob2o$2bo$2ob2o$bobo!
Also this p80

Code: Select all

x = 27, y = 26, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
5b3o$4b2ob2o$4bo3bo$6bo4$6bo2$6bo$4bobobo$5bobo$6bo$6bo2$6b2o$9b3obo$
6b2o2bo$bo5bo4b2o2b2o7b2o$bo5b2o2b2o4b2o4bob2o$3o2bob2o2b2o2bo2bo5b2o$
b2o3bo2b2obo4b2o4bob2o$b3ob3o2bo2bo2b2o7b2o$3bo5bo$10b4o$11bo!
I tried running apgluxe on this rule, but got stuck at around 7000 soups for some reason.

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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wildmyron
Posts: 1402
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 25th, 2019, 9:07 am

The 5S collection has been updated. Thank you to LaundryPizza03, Saka, and Moosey for many contributions. In total there are 196,165 spaceships with unique speeds in the collection, 76,807 of them with a minimum population of 3 cells.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Moosey
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Moosey » July 25th, 2019, 9:14 am

That rule is cool. There is a puffer

Code: Select all

x = 10, y = 2, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bo6bo$obo4bobo!
and this huge ship too:

Code: Select all

x = 31, y = 823, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
15bo3$10bobo5bobo$15bo$10bo3bobo3bo$13b2ob2o$10b2obo3bob2o2$11b3o3b3o$
12bobobobo$11bob2ob2obo$12bob3obo$13b2ob2o$15bo63$15bo$14bobo$13bobobo
$15bo6$14b3o$14bobo$13b5o$11bobobobobo$11bob5obo$13b2ob2o$14bobo$14b3o
$14bobo$15bo$11bo7bo$9bo2bob3obo2bo$10b5ob5o$11b3o3b3o$10b5ob5o10$5b3o
4bobobobo4b3o$13bo3bo$7b3o11b3o$11b2ob3ob2o$7bo6bobo6bo$8bo6bo6bo$15bo
10$14b3o$13b2ob2o$13bo3bo$15bo5$13bo3bo$13b2ob2o$14bobo19$10bo9bo$9bob
o7bobo$9b2obo5bob2o$9bob3o3b3obo$10bo2bo3bo2bo$9bobo7bobo$11b3obob3o$
11b3obob3o$15bo38$11bo7bo$12b3ob3o$12bobobobo$13b2ob2o$12bobobobo$11b
2ob3ob2o$11b3o3b3o$12b2o3b2o$11bo2bobo2bo$7bob5o3b5obo$9bo2bo2bo2bo2bo
$8bobo2b5o2bobo$7b2ob5ob5ob2o$8bobobo5bobobo$10bo9bo$11b2obobob2o$13b
2ob2o$12b2obob2o$11b2ob3ob2o$12bob3obo$12bo2bo2bo$12b7o$13bo3bo$13b2ob
2o$12b2o3b2o$12b2o3b2o$15bo11$14b3o2$15bo4$7b3o4bobo4b3o$7b3o11b3o$5b
6ob2obob2ob6o$5bo2b3o3b3o3b3o2bo$6bo2bobobo3bobobo2bo$6bobo2bo2b3o2bo
2bobo$6b5o2bobobo2b5o$9bobobobobobobo3$13b2ob2o$13bobobo$12bo5bo$13bo
3bo12$14b3o$14b3o$15bo$15bo$11b2o2bo2b2o$11b9o$11bob2ob2obo$11b2o5b2o$
9bo2b2obob2o2bo$11b2obobob2o$10b4obob4o$11b2o5b2o$12bob3obo$11bo2b3o2b
o$15bo$11b9o$12bo5bo5$14bobo$12b3ob3o$11b2obobob2o$14bobo$11b2o5b2o$
14b3o$12bobobobo2$13b5o9$14b3o$13bobobo$13bo3bo$11b2o5b2o$11b2o5b2o$
10bob3ob3obo$9b2o3b3o3b2o$11bo7bo$10bo9bo$11bob5obo$9bobo2bobo2bobo$
13b2ob2o$6b19o$7b17o$7bob2obobobobob2obo$10b2o7b2o$12b2o3b2o$13b5o$13b
2ob2o$13bo3bo$14b3o$14bobo$15bo$14b3o$12bobobobo$13b5o$13bobobo$10bo2b
obobo2bo$10bobo2bo2bobo$8b2o2b3ob3o2b2o$9b2ob2obob2ob2o$8bo3bob3obo3bo
$9b2o2b5o2b2o$7b4o3b3o3b4o$8bo4bo3bo4bo$7bob2o3b3o3b2obo$12b2o3b2o$9b
2ob2o3b2ob2o$10bob2o3b2obo$6bo2b3o2b3o2b3o2bo$6bo2bobo7bobo2bo$bo3b2o
2b2o9b2o2b2o3bo$8bo13bo$o2bo8bo5bo8bo2bo2$5bo6bo5bo6bo$3b3obo4bo5bo4bo
b3o$2bo2bo19bo2bo$2bob2o4b2o7b2o4b2obo$4bobo3b2o7b2o3bobo$5bo19bo$4b2o
19b2o$b2o25b2o$b3o23b3o$3b3o19b3o18$14bobo$11bob2ob2obo$12bo2bo2bo$11b
o3bo3bo$15bo$14bobo18$15bo$14bobo$12b2obob2o2$11b4ob4o$9bo2b2o3b2o2bo$
9b2obob3obob2o$9b5o3b5o$10bo3b3o3bo$12bo5bo$10bobo5bobo$11bo2b3o2bo$
14bobo$14b3o$13b5o$15bo20$14bobo$12b2obob2o$10bobo5bobo$9b3o3bo3b3o$9b
3ob2ob2ob3o$10bobo5bobo$10bob3ob3obo$10b3o5b3o$9b4obobob4o$9bo3b5o3bo$
10b3o2bo2b3o$12bo5bo$8b5o5b5o$8b4ob5ob4o$8b3obob3obob3o$11b3obob3o$8bo
b2obo3bob2obo$9b4obobob4o$11bo7bo$8b3o4bo4b3o$10b4obob4o$8bo3b2obob2o
3bo$11b2o2bo2b2o$11bobobobobo$10b2o7b2o$9bo2bo2bo2bo2bo$15bo$11b2o2bo
2b2o$12bo5bo$11b4ob4o$12b3ob3o$13b5o$13bobobo$11b2o5b2o2$15bo$13bo3bo$
13b5o$15bo$14b3o8$14b3o$15bo$14bobo75$13bobobo$13bobobo$11bob5obo$10bo
2bobobo2bo$10bo2bobobo2bo2$8b3obo5bob3o$7bo2b2o7b2o2bo97$14bobo$15bo$
13bo3bo$13b5o$12b2o3b2o$14b3o$13b5o$13b5o$15bo26$15bo2$15bo$8b2o3b2ob
2o3b2o$7b2o3bob3obo3b2o$7bob2obob3obob2obo$13bobobo$7bob3ob2ob2ob3obo$
7bo15bo$7bob4o5b4obo$8b3o2b5o2b3o$11b3o3b3o11$15bo$12b2o3b2o$12b7o$14b
3o$12b7o$11bo7bo$11bobo3bobo$12bo5bo$14b3o$12bob3obo9$15bo$13b5o$14b3o
$14bobo$14bobo$14b3o$15bo$14b3o$15bo$14b3o$13b2ob2o$15bo$15bo$13b2ob2o
$14bobo20$15bo$13bobobo$14bobo$15bo4$15bo$14bobo$13bobobo$13b2ob2o$15b
o$13b2ob2o$14bobo5$14b3o$14bobo$14bobo$15bo$12bo5bo$10bo2b2ob2o2bo$12b
o5bo$9bobobo3bobobo$10b2obobobob2o$14bobo$14bobo$15bo2$10b2o2b3o2b2o$
10bob2obob2obo$12bobobobo$12bob3obo$14bobo$14b3o2$11bo7bo2$11bo7bo$10b
obo5bobo6$10bobo5bobo$10bobo5bobo$11bo7bo!
And this osc:

Code: Select all

x = 12, y = 2, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bo8bo$obo6bobo!
Another ship:

Code: Select all

x = 10, y = 3, rule = B2-a3acqry4cw5-cjk6acn7e8/S1c2n3-nqy4-einrz5-ijr6i78
bo5bobo$obo4bobo$8bo!
Run a soup in the rule at 10^2-- it looks weird.
wildmyron wrote:The 5S collection has been updated. Thank you to LaundryPizza03, Saka, and Moosey for many contributions. In total there are 196,165 spaceships with unique speeds in the collection, 76,807 of them with a minimum population of 3 cells.
Mine being about one slow diagonal ship.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

wildmyron
Posts: 1402
Joined: August 9th, 2013, 12:45 am

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 25th, 2019, 10:38 pm

16c/19 orthogonal, 9 cells - I wasn't actually expecting to get a result from this LLS search but it completed in just over 11 hours.

Code: Select all

x = 3, y = 11, rule = B2aci3cj4cir5ci6eik7e/S1c2ai3acikr4knrtw5aknqy6k7e
2bo$2bo$o$2bo2$2bo2$2bo$o$2bo$2bo!
I still have the 9c/10 and two 13c/15 orthogonal searches running. I'm not any more hopeful of getting a result from them than I was before.

The following results came from a matchPatt2 search using the front-end of the 18c/27 orthogonal ship. Not very productive for a twelve hour run, but these >c/2 searches never are.

14c/21 orthogonal, 9 cells (improved from 12 - could probably be improved to 3 with LLS)

Code: Select all

x = 7, y = 7, rule = B2acn3aceq4aei5knq6c/S1c2ei3ikry4jnrtw5k
2bo2$o3bobo$6bo$o3bobo2$2bo!
20c/30 orthogonal, 5 cells (new)

Code: Select all

x = 3, y = 3, rule = B2acn3aceq4aen5ackq6ac/S1c2ei3ikry4ejnrt5kr6aei7e
obo$2bo$obo!
24c/36 orthogonal, 6 cells (new)

Code: Select all

x = 5, y = 3, rule = B2acn3aceq4ae5ackqr6ce/S1c2ei3ikry4cejknrt5ak7e8
o2bo$3b2o$o2bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Saka
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Saka » July 26th, 2019, 5:39 am

A boring search with only c/2 ships

Code: Select all

# Search results matching pattern 4bo$2b4o$2b5o$b7o$7o$5bo! for 12 gen in rule B2n3-kq4cjq5ry6-e78/S2n3-jk4-jnw5y678 with searchRule-matchPatt2.py using seed=29
22, B2i3-cky4jz5cry6ack7c/S2n3-jk4-jnwz5eky678, 296, 0, 592, 4bo$2ob3o$3b4o$bob5o$2b5o$5bo!
22, B3-ckqy4ej5cry6-en7c/S2n3-jk4-jnw5eky6-n78, 203, 0, 406, bo2bo$2b4o$ob5o$3b5o$3b4o$5bo!
24, B2n3-ck4cej5cry6-ei7c/S2n3-jk4-jnwz5ey6-n78, 1077, 0, 2154, 3bo$2o$bob5o$bo2b3obo$5b4o$3bob2obo$6b2o!
31, B2i3-kqy4cjkz5cry6-n78/S2n3-jk4-cejnw5eky678, 745, 0, 1490, 3b2ob2o$3o2b2obo$ob6obo$2bo2b5o$bo3b3obo$7b2o!
21, B2n3-ckqy4jqtz5cjry6-in7c/S2n3-jk4-jnw5eky6-n78, 163, 0, 326, 4bo$2b2obo$2ob2obo$2b5o$b4obo$4b2o!
16, B3-k4ejt5cry6-i7c/S2n3-jk4-jnwz5ey6-n78, 554, 0, 1108, bobo$5o$ob4o$2b3o$3bo!
29, B2i3-cky4ejz5cjy6-en7c8/S2n3-jk4aikqrty5ey6-n78, 775, 0, 1550, 5bo$ob5o$ob6o$b8o$2b6o$6bo!
22, B3-kqy4cejkq5cy6ack78/S2n3-jk4-cjnwz5eky678, 135, 0, 270, 2bo$4o$5o$6o$5o$3bo!
26, B2in3-ckqy4jkwz5cjy6-in7c8/S2n3-jk4-ejnwz5ey678, 1058, 0, 2116, b2o3bo$o4b3o$bo2b5o$2b2ob5o$4b5o$7bo!
23, B3-k4ejtwz5cy6-i7c/S2n3-jk4-cejnw5ky6-n78, 576, 0, 1152, 3b2o$4obo$b5o$4obo$3obo$2b2o!
27, B2in3-ckq4cejkq5jy6-i7/S2n3-jk4-cejnw5y678, 735, 0, 1470, 6b2o$o3b3obo$2bob4obo$4b6o$4bob2obo$4b2ob2o!
22, B2n3-ky4cejqz5jry6-i7/S2n3-jk4-cjnw5ky678, 225, 0, 450, bobo$ob3o$b5o$2b5o$ob4o$4bo!
24, B2n3-ckq4cejtz5cry6-en7c8/S2n3-jk4-ejnw5y678, 540, 0, 1080, 2b2o$3obo$4obo$6o$ob2obo$bob2o!
21, B3-ky4jkq5cy6-ei7c8/S2n3-jk4-ejnwz5ky6-n78, 201, 0, 402, b3o$obobo$b3obo$b5o$b3obo$3b2o!
23, B2n3-ckqy4cjwz5ry678/S2n3-jk4-jnw5ey678, 368, 0, 736, 2b2o$3obo$4obo$6o$b3obo$3b2o!
25, B2n3-ckq4cejz5cjry6-i7c/S2n3-jk4-ejnwz5ey6-n78, 599, 0, 1198, 4bo$ob4o$b6o$b7o$bob4o$5bo!
19, B3-ck4jqt5cy6-i7c8/S2n3-jk4-ejnwz5ey6-n78, 174, 0, 348, bo2b2o$o2b2obo$ob5o$2b3obo$4b2o!
24, B2n3-ck4cej5y6-ei78/S2n3-jk4-cjnw5ey678, 390, 0, 780, 2b2o$3obo$4obo$6o$ob2obo$bob2o!
25, B2n3-ckqy4ejq5cjry6-e78/S2n3-jk4-cejnw5ky678, 581, 0, 1162, 3bo$b4o$6o$b6o$6o$o3bo!
24, B3-ckq4cjqtwz5cjry6-ei78/S2n3-jk4-ejnw5y6-n78, 615, 0, 1230, o$5b2o$o3b2obo$2bob3obo$4b5o$3b4obo$6b2o!
26, B2i3-kqy4ejkqwz5cy6-i7/S2n3-jk4-ejnw5y678, 700, 0, 1400, bob2o$4obo$ob3obo$2b5o$2ob2obo$2bob2o!
24, B3-ky4jkqt5cy6-i7c/S2n3-jk4-ejnw5eky678, 415, 0, 830, 4b2o$2b3obo$ob4obo$2b6o$4b2obo$3bob2o!
30, B2i3-ck4jz5cjry6-in78/S2n3-jk4-cjnwz5ey678, 1273, 0, 2546, 3bob2o$b2ob2obo$o2b4obo$2b7o$2o3b2obo$3b2ob2o!
25, B2n3-cky4cj5cjy6-ei78/S2n3-jk4aikqrty5eky6-n78, 735, 0, 1470, o2b2o$ob2obo$5obo$ob5o$3b2obo$2bob2o!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 26th, 2019, 1:11 pm

17c/26o:

Code: Select all

x = 4, y = 1, rule = B2ac3aeq4iktwy5ainq68/S1e2kn3akqy4c5-ij6-e7
ob2o!
16c/25o:

Code: Select all

x = 4, y = 1, rule = B2ack4eijqt5-nr6ek78/S1e2ik3ckny4-anqty5i6-ac
ob2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 22470 spaceships and 998 oscillators from outer-totalistic rules. You are invited to help!

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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 26th, 2019, 1:50 pm

Gamedziner wrote:
Saka wrote: Fastest: 99c/201

Code: Select all

x = 43, y = 5, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
bo8bobob2o2bo14bo$2bo6bob7o2bo13bo5bobo$2obo5b4obobo2b2ob2o8b2obo4b2o$
2bo6bob7o2bo13bo5bobo$bo8bobob2o2bo14bo!
p16:

Code: Select all

x = 3, y = 19, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
bo$obo15$obo$bo!
p270, mod135 gun (would register as yl9045):

Code: Select all

x = 4, y = 3, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
obo$b3o$obo!
EDIT: 26468-gen, 5-cell methuselah:

Code: Select all

x = 3, y = 3, rule = B2-an3acqry4cwz5-cjk6-ik7e8/S1c2n3-nqy4acjktw5-ijr6ei78
obo$bo$obo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 26th, 2019, 3:29 pm

wildmyron wrote: 14c/21 orthogonal, 9 cells (improved from 12 - could probably be improved to 3 with LLS)

Code: Select all

x = 7, y = 7, rule = B2acn3aceq4aei5knq6c/S1c2ei3ikry4jnrtw5k
2bo2$o3bobo$6bo$o3bobo2$2bo!
3 cells:

Code: Select all

x = 2, y = 5, rule = B2-ei3cjqr4iknwyz5-jk6-in78/S01e2i3ejknr4aijkwz5cei6k7e8
bo2$o2$bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 26th, 2019, 5:20 pm

5c/952d, 5 cells:

Code: Select all

x = 4, y = 3, rule = B2kn3-nq4cnqtwyz5-aky6ein7e/S01e2eik3aeqy4ajknqtz5-cqr6i78
bo2$4o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 26th, 2019, 6:30 pm

Here is a search for a high-period c/3 diagonal ship. It finds approximately 1 ship per 5000 rules. The starting pattern is 9 generations of century in the rule with the 11c/33d, which becomes a puffer more comon than the 11c/33d itself.

Code: Select all

# 5S collection updated - 11 new and 1 improved speeds out of 24 ships.
# Diagonal speeds updated:
# [(16, 16, 48), (18, 18, 54), (20, 20, 60), (22, 22, 66), (26, 26, 78), (28, 28, 84), (30, 30, 90), (34, 34, 102), (38, 38, 114), (42, 42, 126), (54, 54, 162)]
# [(12, 12, 36)]
4, B2cin3aenr4r5ceinr6k/S01c2ae3inq4intw5air6c, 16, 16, 48, b2o2$obo!
6, B2cn3aekn4r5cik/S01c2-cn3ciqr4inw5j6c, 18, 18, 54, 2b2o$3o$bo!
7, B2cin3aekn4jrwz5-enry6ik8/S01c2aei3ciknq4iknwz5aer6ac7c, 20, 20, 60, o$3b2o$b3o$2bo!
7, B2cn3aekn4nrz5cijn/S01c2ae3inqry4einqtw5acjqr6ak7c, 22, 22, 66, o3$2b2o$3o$bo!
7, B2cn3aeknr4jr5aijq/S01c2-ci3iqr4iqw5aij6a, 26, 26, 78, o3bo$4b2o$3b2o$3bo!
10, B2cn3aeknr4ijnry5ijknq6cik8/S01c2aen3-aej4cikqtw5aj6k7, 28, 28, 84, o3bo$3bo3$5bo2bo$8b2o$7b2o$7bo!
7, B2cin3acenr4inrwz5i6aen/S01c2aen3inqr4einqw5anqr6c7c, 30, 30, 90, o3$2b2o$3o$bo!
7, B2cin3-ijqy4inrwz5aceir6akn7c8/S01c2-ci3cinqy4ceintwz5ey6c, 34, 34, 102, o3$2b2o$3o$bo!
8, B2cn3aeknr4ir5i6kn/S01c2-ck3inqr4iknw5cik, 38, 38, 114, bo$o3bo$4b2o$3b2o$3bo!
10, B2cn3aeknr4eirw5-aenq6c8/S01c2ae3ciqr4eikqw5cqry6a7c, 42, 42, 126, o$bo$3b2o$bob2o$3bo$2bobo!
10, B2cin3-ijqy4rwy5acijk6ce7c/S01c2aek3iqr4iqtwz5n6k8, 54, 54, 162, o2$o$2bo$4bo$bob2o$b3o!
7, B2cn3aen4nr5iq/S01c2aei3iqr4inwz5acr7c, 12, 12, 36, o$2bo$2b2o$b2o$bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 26th, 2019, 9:42 pm

LaundryPizza03 wrote:Here is a search for a high-period c/3 diagonal ship. It finds approximately 1 ship per 5000 rules. The starting pattern is 9 generations of century in the rule with the 11c/33d, which becomes a puffer more comon than the 11c/33d itself.
Nice to see some focus on diagonal speeds, and particularly fast diagonal speeds. I'm surprised there were only c/3 diagonal results from that search, though perhaps many of the nearby orthogonal and oblique speeds already have competitive entries.

Another avenue for searching c/4 -> c/2 diagonal is to use slightly larger c/3 diagonal engines with diagonal symmetry. Here's a ship I posted to Discord which came from such a search. The starting ship was a 7 cell ship found with LLS at speed 10c/33

46c/177 diagonal, 14 cells

Code: Select all

x = 8, y = 8, rule = B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ajw5aek6ae7c8
3bobo$2bobo$bo$o2bo2bo$bo5bo$o4bo$3bo$4bo!
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 26th, 2019, 10:34 pm

There are a number of c/2o spaceships, puffers, and pseudo-spaceships in Battleship, though many of these search rather slowly.

Code: Select all

# Search results matching pattern o3bo$4o$3obo$2bo! for 10 gen in rule B2ce4-cint67e8/S14567 with searchRule-matchPatt2.py using seed=1
10, B2cei3ckqy4-cjny5ejqr6-k7c8/S12k3cek4-cik5-kr6-i7, 40, 2, 270, o3bo$3obo$b3o$bo!
13, B2-ak3cr4-ntwyz5acry6-ek8/S12e3ekqry4-eqz5-k6-n7, 18, 4, 287, 3b2o$b3obo$b4o$3o!
13, B2ce3qr4aceijqr5-ainr6-ik8/S12in3kq4-cejqz5-kr6-n7, 206, 0, 412, 3bo$4obo$b4o$2bo2bo$2bo!
6, B2-a3qr4acejqry5ejy6aci8/S12i3jqry4-eijz5-jk6-in7, 21, 2, 396, o$4bo$2b2o$4bo$bo!
8, B2-a3cqy4-jnz5cjkr6-ek7c8/S12kn3cjr4-ejkqz5-jkr6-n7, 16, 2, 538, 2bo$o2bo$o2bo$b2o$o!
20, B2cek3qr4aeqryz5cejk6-i8/S12eik3y4-cjkz5-kr67, 3, 1, 321, b3obo$ob3obo$b3obo$2bo$16b2o$16bo$17bo$17b2o!
Typical behavior:

Code: Select all

x = 6, y = 4, rule = B2-ak3cr4-ntwyz5acry6-ek8/S12e3ekqry4-eqz5-k6-n7
3b2o$b3obo$b4o$3o!
(8,4)c/21 (possibly slowed down by accidentally searching in the relativistic rulespace):

Code: Select all

x = 4, y = 2, rule = B2acn3cy4ijnqryz5ceij6-k7e8/S2-ac3cejqy4-aekw5-aenr6e7e8
bo$ob2o!
wildmyron wrote: Another avenue for searching c/4 -> c/2 diagonal is to use slightly larger c/3 diagonal engines with diagonal symmetry. Here's a ship I posted to Discord which came from such a search. The starting ship was a 7 cell ship found with LLS at speed 10c/33

46c/177 diagonal, 14 cells

Code: Select all

x = 8, y = 8, rule = B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ajw5aek6ae7c8
3bobo$2bobo$bo$o2bo2bo$bo5bo$o4bo$3bo$4bo!
Where may I find this ship?

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Saka » July 26th, 2019, 10:55 pm

3 ships

Code: Select all

# Search results matching pattern obo$2bo$obo! for 14 gen in rule B2acn3aekn4aciqrty5cjy6i8/S1c2ein3ijq4cnty5n6i with searchRule-matchPatt2.py using seed=29
3, B2acn3aekn4aciqrty5cjy6ai8/S1c2ei3ijq4cnty5in6i, 16, 0, 26, bo$o$bo!
3, B2acn3aekn4aciqr5cjky6ei/S1c2ei3acijq4ety5nr6ei, 11, 0, 25, bo$o$bo!
6, B2acn3aekn4aceiqrt5ajy6i8/S1c2ein3ijq4cty5ein6i, 18, 0, 29, o$bo$b2o$bo$o!

Code: Select all

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wildmyron » July 27th, 2019, 12:44 am

LaundryPizza03 wrote:
wildmyron wrote: Another avenue for searching c/4 -> c/2 diagonal is to use slightly larger c/3 diagonal engines with diagonal symmetry. Here's a ship I posted to Discord which came from such a search. The starting ship was a 7 cell ship found with LLS at speed 10c/33

46c/177 diagonal, 14 cells

Code: Select all

x = 8, y = 8, rule = B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ajw5aek6ae7c8
3bobo$2bobo$bo$o2bo2bo$bo5bo$o4bo$3bo$4bo!
Where may I find this ship?
This is the starting ship I mentioned. I only did a short search with seed=1 and matching 22 generations which found 33 ships Edit Fix typos in search parameters [/edit]

Code: Select all

x = 5, y = 5, rule = B2ce3-aijy4ejnqty5-aijr6e78/S3ciknr4-acej5aek6aei7c8
2bo$bo2bo$o2bo$2bo$bo!

Code: Select all

11, B2ce3-aijy4ejnqty5cknq6ekn7c8/S2k3ceinr4-acj5aejkq6aei7c8, 21, 21, 65, 3bo$b2o$bo2bo$o2bobo$2bobo$3bo!
7, B2ce3-aijy4-acirz5cknq6ekn7c8/S3ciknr4-aceiw5aejk6ce7c8, 14, 14, 43, 2bo$bo2bo$o2bo$2bo$bo!
7, B2ce3-aijy4-acirw5cknq6kn7c8/S3cinr4jknqrtz5aek6e7c8, 18, 18, 56, 2bo$bo2bo$o2bo$2bo$bo!
7, B2ce3-aijy4ejknqty5cknq6ek7c8/S3cinr4-acewy5aejk6e7c8, 17, 17, 52, 3bo$bo2bo$3bo$obo$bo!
11, B2ce3-aijy4ejnqtyz5ceknq6en78/S3ciknr4-ijw5aejk6ei7c8, 27, 27, 105, obo2$o6$11bo$10bo$9bo$8bo2bobo$12bo$11bo!
7, B2ce3-aijy4ejknqty5cknq6ek7c8/S2k3cinr4-aey5aek6e7c8, 20, 20, 62, 2bo2$obo2bo$4bo$3bo$2bo!
21, B2ce3-aijy4-acikr5-aijr6en7c8/S3cinr4-wy5aejk6ace7c8, 20, 20, 75, 2bo2$o2b2o$2bobo$2b2obo$4bobo$5b2o$8b2o$7b2obo$7bobo$8bo!
11, B2ce3-aijy4-acir5cknq6kn7c8/S3ciknr4-aeij5aejkq6aei7c8, 28, 28, 85, 3bo$2bobo$b2o2bo$o3bo$bobo$2bo!
7, B2ce3-aijy4-acirw5ceknq6k78/S3cinr4-ace5aek6e7c8, 18, 18, 57, 2bo2$obo2bo$4bo$3bo$2bo!
17, B2ce3-aijy4-acirw5ceknq6eik7c8/S2k3cinr4-aeijy5aek6e7c8, 23, 23, 70, 3o$2obo$obo3bo$bo3bo$4bobo$3bobo$2bobo!
7, B2ce3-aijy4ejknqty5cknq6k7c8/S3ciknr4-acij5aejkq6aei7c8, 18, 18, 55, bo$o2$3bo2bo$5bo$4bo$3bo!
7, B2ce3-aijy4ejknqty5cknq6k7c8/S2k3ciknr4-aceij5aejkq6ae7c8, 21, 21, 81, 2bo2$obo2bo$4bo$3bo$2bo!
9, B2ce3-aijy4-acirw5-aijr6k7c8/S3ciknr4-jw5aekq6ae7c8, 19, 19, 58, o3bo$3bo$2bobo$bobo$obo!
7, B2ce3-aijy4ejnqtyz5cknq6k7c8/S3ceinr4-aiy5aek6aei7c8, 30, 30, 92, 2bo$bo2bo$o2bo$2bo$bo!
14, B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ajw5aek6ae7c8, 46, 46, 177, 3bobo$2bobo$bo$o2bo2bo$bo5bo$o4bo$3bo$4bo!
7, B2ce3-aijy4ejnqtwy5cknqy6e78/S3ceinr4-eiwy5aek6cei7c8, 9, 9, 201, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ijw5aejk6ei7c8, 20, 20, 69, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejnqty5cknq6ekn7c8/S3cinr4-acejy5aekq6e7c8, 17, 17, 58, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acir5ceknq6k7c8/S3cinr4-cjwy5aekq6e7c8, 20, 20, 91, 2bo$bo2bo$o2bo$2bo$bo!
7, B2ce3-aijy4-acir5cknq6ikn7c8/S3ceinr4-ajw5aejkq6ei7c8, 22, 22, 67, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5cknq6kn78/S2k3cinr4-acijw5aek6ei7c8, 23, 23, 74, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejnqtwy5ceknq6n78/S3ceinr4-eijw5aekq6ace7c8, 22, 22, 111, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5cknq6ek7c8/S3cinr4-e5aejk6cei7c8, 18, 18, 75, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5-aijr6ik7c8/S3-ajqy4-aijw5aejkq6cei7c8, 28, 28, 85, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5ceknq6ek7c8/S3ciknr4-aeijw5aejk6-kn7c8, 19, 19, 58, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5-aijr6k78/S3-ajqy4-aeijw5aejkq6ei7c8, 23, 23, 70, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5-aijr6ek78/S3ceinr4-ac5aejk6ae7c8, 15, 15, 139, 2bo$bo2bo$o2bo$2bo$bo!
11, B2ce3-aijy4ejknqty5-aijr6kn7c8/S3ceinr4-ajy5aejkq6ei7c8, 46, 46, 140, 3bo$b2o$bo2bo$o2bobo$2bobo$3bo!
10, B2ce3-aijy4-acikr5ceknq6ek78/S3-ajqy4-acijw5aejk6e7c8, 23, 23, 79, 2bo$3bo$obo$bobo2bo$5bo$4bo$3bo!
7, B2ce3-aijy4-acirw5cknq6in7c8/S3cinr4-j5aekq6e7c8, 27, 27, 94, 2bo2$obo2bo$4bo$3bo$2bo!
12, B2ce3-aijy4-acirw5ceknq6ek7c8/S3cinr4-ej5aejkq6ae7c8, 24, 24, 75, 3bo$2bo$bob2o$ob2obo$2bobo$3bo!
11, B2ce3-aijy4-acirw5-aijr6ekn7c8/S3ceinr4-aeiw5aek6-kn7c8, 21, 21, 64, 3bo$b2o$bo2bo$o2bobo$2bobo$3bo!
11, B2ce3-aijy4ejnqtyz5cknq6k78/S2k3ceinr4-cijy5aekq6ae7c8, 20, 20, 77, 3bo$bobo$3bobo$3obo$3bo$2bo!
Last edited by wildmyron on July 27th, 2019, 5:09 am, edited 1 time in total.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » July 27th, 2019, 3:04 am

(8,5)c/21 (apgsearchable, but has a common wickstretcher):

Code: Select all

x = 4, y = 3, rule = B2en3ikny4-ktwy5ijry6eik7e8/S02ci3aejry4einqt5cekq6-k78
o2bo$2bo$bo!
(7,6)c/21 (apgsearchable):

Code: Select all

x = 3, y = 4, rule = B2ci3aeky4-nq5-aijy6aei7e8/S02-ai3cjnr4cjkrty5-ceqr6i7
o$2bo2$obo!
(7,5)c/21 (apgsearchable):

Code: Select all

x = 4, y = 4, rule = B2ci3acy4eikryz5aijk6cek78/S02ikn3cjknq4cijqtw5-cjkq6cin7c8
o$bo2$bobo!
(10,1)c/22 (apgsearchable):

Code: Select all

x = 2, y = 4, rule = B2cin3-iqy4cijkqt5acjn6cik8/S1c2cn3ekny4eknyz5acry6ace7c8
bo$o2$o!
(9,3)c/22:

Code: Select all

x = 2, y = 4, rule = B2-ai3q4cnqw5ejky6ai7c8/S02eik3aeik4-ajkr5-ak6-kn78
o$bo2$bo!
(9,4)c/22:

Code: Select all

x = 2, y = 3, rule = B2-an3cjk4aqyz5eijn6i7e/S012i3ae4jkntwz5-cekn6ekn8
bo2$2o!
(8,4)c/22 (apgsearchable):

Code: Select all

x = 3, y = 2, rule = B2cei3kq4cy5-aey6-kn7e8/S012e3ejy4cijrty5ejnry6ek7
o$obo!
Another high-period c/3d search

Code: Select all

# Search results matching pattern b2o$2o$o! for 9 gen in rule B2n3aeij4ciq5cq/S1c2ace3-eiqy4aekqw5a with searchRule-matchPatt2.py using seed=1
7, B2n3aij4cinq5cq/S1c2ace3acjnr4akqw5a, 13, 13, 39, 2bo2$o2b2o$2b2o$2bo!
10, B2n3aijny4ceinqt5ckq6c8/S1c2-kn3-eiqy4aekqtwz5acn, 19, 19, 57, obo$bo$o$3bobo$5bo$3b3o!
7, B2n3aijy4aceiknq5cq/S1c2-kn3-eiky4aekqw5an, 17, 17, 51, 2bo2$o2b2o$2b2o$2bo!
7, B2n3aijk4aciqy5cinq6c8/S1c2ace3-eikq4aejkqw5ae6ce, 24, 24, 72, 2bo2$o2b2o$2b2o$2bo!
5, B2n3aeijk4aceikty5cejkq6aik8/S1c2ace3-ikqy4ackqw5aer6c7e, 9, 9, 167, 2bo$2bo$3o!
7, B2n3aeijy4ceiknqy5-ijr6ik7e/S1c2ace3acjnr4ackqwz5anqr6cik, 23, 23, 229, obo$bo$obo$3bo$4bo!
18, B2n3aijy4ceiknqz5ckq6ck8/S1c2ace3-eiqy4acjkqwz5acnq6ak8, 21, 21, 63, 2o$2o3$4b3o$4b3o$4b3o2$9b2o$8b2o$8bo!
5, B2n3aijk4aceiknt5ceqy6i/S1c2ace3acjnr4ajkqw5ac6e8, 12, 12, 36, b2o$2o$o!
6, B2n3aijk4cinqrz5cq6a/S1c2ace3-eiqy4aknqtw5an, 13, 13, 39, o3$4b2o$3b2o$3bo!
7, B2n3aijkn4cinq5cq6a/S1c2ace3-eiqy4aikqtwz5a6ce8, 15, 15, 45, o2$2bo5$8b2o$7b2o$7bo!
5, B2n3aeijk4cinty5-ijky7e8/S1c2ace3-ikqy4-irtyz5anq6ae8, 9, 9, 253, b2o$2o$o!
9, B2n3aijk4ceik5ckq/S1c2ace3-eiqy4ackqw5ac6c7e8, 21, 21, 63, o$b3o$b3o$b2o!
5, B2n3-ceqr4ciknq5cekq6a8/S1c2ace3-iqy4aekqtw5anr6k8, 14, 14, 123, b2o$2o$o!
6, B2n3aijk4ciq5cq/S1c2ace3-eiqy4akqw5an6e, 22, 22, 66, o4$5b2o$4b2o$4bo!
5, B2n3aijk4acinq5cq6k8/S1c2ace3-ikq4ajkqw5ac6c, 15, 15, 45, b2o$2o$o!
7, B2n3aijkn4ciqry5acnqr/S1c2ace3-eiqy4aeikqw5ac6k8, 19, 19, 57, 2bo2$o2b2o$2b2o$2bo!
5, B2n3aijk4ceirty5cjkq6ck/S1c2ace3-eikq4-enryz5aceq6c8, 17, 17, 51, b2o$2o$o!
5, B2n3aijk4cikq5-aejk6a8/S1c2ace3-eiq4aeijkqw5aq6ck, 19, 19, 57, 2bo$2bo$3o!
7, B2n3-cnqr4-ajqwz5cekq6-en7e/S1c2ace3-iqy4aekqwz5aenq6ik8, 12, 12, 261, 2bo2$o2b2o$2b2o$2bo!
15, B2n3aijk4ceikqyz5-eny6a8/S1c2ace3-eiq4aijknqw5an6aci7e8, 24, 24, 76, 3o$obo$2o$3bo3$8bo2$6bo2b2o$8b2o$8bo!
7, B2n3aeijk4ceiqr5cjnqy8/S1c2ace3acjnr4-ceiry5anq6-an, 21, 21, 63, 2bo2$o2b2o$2b2o$2bo!
10, B2n3aijy4ceinqt5-aeij6i7e/S1c2ace3-eiy4acikqtw5aceq6k7e, 28, 28, 109, o$bobo$2bo$bo2b2o$3b2o$3bo!
6, B2n3aeijy4ceinq5cjq6ci/S1c2ace3-ikqy4aekqw5acq6ai7e, 10, 10, 329, obo$3bo$obo$bo!
10, B2n3aijk4-jknrw5-ekny6a7e/S1c2-kn3-ikq4aekqtwz5an7e, 31, 31, 113, o$bobo$2bo$bo2b2o$3b2o$3bo!
5, B2n3aijkn4acikqt5cq/S1c2ace3acjnr4aeijkqw5acnq, 13, 13, 39, b2o$2o$o!
9, B2n3aij4ceiknqz5-ejn6ck7e/S1c2ace3-eikq4ajknqwz5ar6ck7e8, 23, 23, 69, o3$3bo13$18bo2$16bo2b2o$18b2o$18bo!
9, B2n3aijkn4ceinty5-ikny6i7e/S1c2-kn3acjnr4acknqwz5ae6-cn7e, 15, 15, 195, o2bo$b3o$b2o$2o!
24, B2n3aeij4ceiqyz5-jny6i7e/S1c2ace3-eikq4-jrtyz5acnr6eik7e8, 21, 21, 383, o$bo2bo$4bo$4b2o$b4o$3bo2$10bo$11bo2$7bo2bobo$8bo2b2o$10b2obo$12b2o!
10, B2n3aijy4ceinq5cenqr6c/S1c2ace3-ikqy4acekqwz5acnq6e7e, 16, 16, 52, o$bo$2bo3$7bo2$5bo2b2o$7b2o$7bo!
11, B2n3aijk4ceiy5ckq/S1c2-kn3-ikq4aeknqtw5aq6e, 14, 14, 143, bo$2o2bo$4bo$3bo$b2o2bo$4b2o!
17, B2n3aij4ceikqtz5acjq6ak/S1c2ace3acjnr4acjkqtw5acnqr8, 25, 25, 75, 5bo$4bo3$bo$o$7bobo$6b2obo2$6b2obobo$11bo$9b3o!
By the way, your seed was 1, diverging after 22 generations.
EDIT: But here is a new seed.

Code: Select all

# Search results matching pattern 2bo$bo2bo$o2bo$2bo$bo! for 22 gen in rule B2ce3-aijy4ejnqty5-aijr6e78/S3ciknr4-acej5aek6aei7c8 with searchRule-matchPatt2.py using seed=2
26, B2ce3-aijy4ejknqty5cknq6k78/S3cinr4-cei5aejkq6ae7c8, 29, 29, 99, bo$ob2o$b3obo$b2obo$3bob2o$2bobo$4bobo$7b2o$7b2o2bo$10bo$9bo$8bo!
11, B2ce3-aijy4-acirz5cknq6ikn7c8/S3cinr4-ajw5aejk6e7c8, 18, 18, 55, 3bo$b2o$bo2bo$o2bobo$2bobo$3bo!
8, B2ce3-aijy4ejknqty5-aijr6eik78/S2k3ciknr4-aijw5aejkq6ae7c8, 28, 28, 84, obo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5cknq6kn7c8/S3cinr4jknqrtz5aek6e7c8, 18, 18, 56, 2bo$bo2bo$o2bo$2bo$bo!
7, B2ce3-aijy4-acirz5cknq6eik7c8/S3ceinr4-ew5aekq6ce7c8, 21, 21, 95, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5cknq6ek7c8/S3cinr4-acewy5aejk6e7c8, 17, 17, 52, 2bo2$obo2bo$4bo$3bo$2bo!
12, B2ce3-aijy4ejknqty5cknqy6en7c8/S2k3cinr4-ci5ak6ae7c8, 20, 20, 64, 3bo$2bo$bo$o2bo7$10bo2bo$12bo$11bo$10bo3$17bo$16bo!
7, B2ce3-aijy4-acirz5cknq6ekn7c8/S3ciknr4-aceiw5aejk6ce7c8, 14, 14, 43, 2bo$bo2bo$o2bo$2bo$bo!
7, B2ce3-aijy4ejknqty5cknq6ekn7c8/S2k3ciknr4-aejw5aejk6cei7c8, 21, 21, 64, 2bo$bo2bo$o2bo$2bo$bo!
9, B2ce3-aijy4ejknqty5cknq6ik78/S3ciknr4-aijw5aejk6ae7c8, 18, 18, 55, o3bo$3bo$2bobo$bobo$obo!
7, B2ce3-aijy4-acirz5cknq6k7c8/S3ciknr4-acij5aejkq6aei7c8, 18, 18, 55, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5cknqy6ek7c8/S3ceinr4-ei5aejkq6ce7c8, 23, 23, 70, 3bo$bo2bo$3bo$obo$bo!
11, B2ce3-aijy4-acirw5cknq6k78/S3cinr4-acejw5aejkq6aei7c8, 20, 20, 61, 3bo$bobo$3bobo$3obo$3bo$2bo!
7, B2ce3-aijy4-acirw5cknq6ek7c8/S3ciknr4-iw5aekq6-kn7c8, 31, 31, 94, 2bo2$obo2bo$4bo$3bo$2bo!
11, B2ce3-aijy4ejnqtyz5cknq6in7c8/S2k3ciknr4-ceijy5aekq6ae7c8, 22, 22, 69, 3bo$b2o$bo2bo$o2bobo$2bobo$3bo!
20, B2ce3-aijy4ejnqtyz5cknqy6kn7c8/S3cinr4-wy5aek6aei7c8, 21, 21, 76, bobo$obo$bob2o$ob3obo$2b3o2bo$6bo$3bobo$4bo!
7, B2ce3-aijy4ejknqty5ceknq6kn7c8/S3cinr4-ajwy5aejkq6e7c8, 26, 26, 80, 2bo$bo2bo$o2bo$2bo$bo!
11, B2ce3-aijy4-acir5cknq6kn7c8/S3ceinr4-cejw5aejk6ae7c8, 21, 21, 65, 3bo$2bobo$b2o2bo$o3bo$bobo$2bo!
7, B2ce3-aijy4ejnqtwy5cknq6ek7c8/S3cinr4-ijwy5aejkq6aei7c8, 22, 22, 67, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5ceknq6ek7c8/S2k3ceinr4-acij5aejkq6aei7c8, 19, 19, 58, 2bo2$obo2bo$4bo$3bo$2bo!
21, B2ce3-aijy4ejnqtyz5-aijr6k7c8/S2k3cinr4-cij5aekq6aei7c8, 17, 17, 58, 3bobo$2bo$b3o$ob2o2$o17$25bo$23bobo$25bobo$22b3obo$25bo$24bo!
7, B2ce3-aijy4ejknqty5ceknq6-ac78/S3ciknr4knqrtyz5aek6ae7c8, 26, 26, 84, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5-aijr6ekn78/S3ceinr4-aeijy5aejkq6ace7c8, 25, 25, 76, 2bo$bo2bo$o2bo$2bo$bo!
10, B2ce3-aijy4-acirw5ceknq6ei7c8/S2k3ceinr4-e5aejkq6ae7c8, 22, 22, 80, 3bo$2bo$bo2bo$o2bobo$2bobo$3bo!
10, B2ce3-aijy4ejnqty5ceknq6kn7c8/S3ceinr4-ceij5aejk6ce7c8, 19, 19, 60, 2bo$bo$o3bo$3bo2bo$2bo2bo$4bo$3bo!
7, B2ce3-aijy4-acir5ceknq6ekn78/S3ceinr4-aejwy5aejkq6ace7c8, 28, 28, 123, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4-acirw5cknq6eik78/S3ceinr4-aiw5aekq6ae7c8, 25, 25, 78, 2bo$bo2bo$o2bo$2bo$bo!
9, B2ce3-aijy4ejknqty5cknq6ekn7c8/S3-ajqy4-ejw5aejkq6cei7c8, 20, 20, 61, o3bo$3bo$2bobo$bobo$obo!
7, B2ce3-aijy4-acirw5-aijr6e7c8/S2k3ciknr4-acew5aejk6aei7c8, 24, 24, 95, 2bo$bo2bo$o2bo$2bo$bo!
11, B2ce3-aijy4-acikr5ceknq6kn78/S3cinr4-aij5aejkq6aei7c8, 27, 27, 83, 3bo$b2o$bo2bo$o2bobo$2bobo$3bo!
7, B2ce3-aijy4ejknqty5cknq6ek7c8/S3-ajqy4-eij5aejkq6ae7c8, 23, 23, 87, 2bo$bo2bo$o2bo$2bo$bo!
15, B2ce3-aijy4-acirw5cknqy6e78/S2k3cinr4-ceijw5aejk6aei7c8, 20, 20, 62, 3bo$2bo2bo$bo4bo$o2bob2o$4bo$bobobo$2b2o!
27, B2ce3-aijy4ejnqtyz5ceknq6ek78/S2k3cinr4-acejw5aejkq6ae7c8, 22, 22, 68, obo2$obo2$5bo$4bo3$10bobo$9bobo$8bobo2bo$9bo2b2o$8bo2bo3bo$10b2obo2bo$15bo$12bobo$13bo!
22, B2ce3-aijy4ejnqty5ceknq6-ac78/S3ceinr4-ceijw5aejk6ce7c8, 42, 42, 132, bo$o3$7bo$6bo$5bo2bo$4bo2bo$6bo2bo$8bo47$59bo$57b2o$57bo2bo$56bo2bobo$58bobo$59bo!
11, B2ce3-aijy4-acirz5cknq6kn7c8/S3ciknr4-aej5aejkq6aei7c8, 28, 28, 85, bo$2o3bo$4bo$3bobo$2bobo$bobo!
7, B2ce3-aijy4ejknqty5cknq6ekn7c8/S2k3ciknr4-ceijw5aek6ae7c8, 20, 20, 62, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5ceknq6ik78/S3ceinr4-aceij5aek6ae7c8, 23, 23, 71, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejnqty5cknq6ekn7c8/S3cinr4-acejy5aekq6e7c8, 17, 17, 58, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5cknq6kn7c8/S3cinr4-aej5aejkq6ae7c8, 24, 24, 73, 2bo2$obo2bo$4bo$3bo$2bo!
7, B2ce3-aijy4ejknqty5cknq6k78/S3ceinr4-e5aejkq6aei7c8, 14, 14, 127, 2bo$bo2bo$o2bo$2bo$bo!
7, B2ce3-aijy4-acirz5-aijr6ekn7c8/S3ciknr4knqrtz5aejk6ae7c8, 22, 22, 68, 2bo$bo2bo$o2bo$2bo$bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 22470 spaceships and 998 oscillators from outer-totalistic rules. You are invited to help!

Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by Gamedziner » July 27th, 2019, 6:47 am

wildmyron wrote: 46c/177 diagonal, 14 cells

Code: Select all

x = 8, y = 8, rule = B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ajw5aek6ae7c8
3bobo$2bobo$bo$o2bo2bo$bo5bo$o4bo$3bo$4bo!
p86:

Code: Select all

x = 4, y = 4, rule = B2ce3-aijy4-acirw5-aijr6k7c8/S3-ajqy4-ajw5aek6ae7c8
bo$obo$bobo$2bo!
LaundryPizza03 wrote:(8,5)c/21 (apgsearchable, but has a common wickstretcher):

Code: Select all

x = 4, y = 3, rule = B2en3ikny4-ktwy5ijry6eik7e8/S02ci3aejry4einqt5cekq6-k78
o2bo$2bo$bo!
p36:

Code: Select all

x = 4, y = 4, rule = B2en3ikny4-ktwy5ijry6eik7e8/S02ci3aejry4einqt5cekq6-k78
4o$bo$bo$4o!
LaundryPizza03 wrote:(7,6)c/21 (apgsearchable):

Code: Select all

x = 3, y = 4, rule = B2ci3aeky4-nq5-aijy6aei7e8/S02-ai3cjnr4cjkrty5-ceqr6i7
o$2bo2$obo!
p92:

Code: Select all

x = 3, y = 4, rule = B2ci3aeky4-nq5-aijy6aei7e8/S02-ai3cjnr4cjkrty5-ceqr6i7
2o$obo2$obo!

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

AforAmpere
Posts: 1111
Joined: July 1st, 2016, 3:58 pm

Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by AforAmpere » July 27th, 2019, 9:22 am

3 cell (8,3)c/14:

Code: Select all

x = 2, y = 4, rule = B2aci3enr4aceijnt5cjnr6ckn7e8/S12cen3enq4anqtwyz5-a6-kn7e8
o$bo2$bo!
3 cell (8,4)c/14:

Code: Select all

x = 2, y = 4, rule = B2aci3cejn4ijkqrwy5-ceir6cin7e/S12ci3ekn4aeiknty5cijkn6-i8
o$bo2$bo!
I'm in the process of updating, I should be done soon.
Wildmyron and I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule

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