## Smallest Spaceships Supporting Specific Speeds (5s) Project

For discussion of other cellular automata.

### Smallest Spaceships Supporting Specific Speeds (5s) Project

Hello all, I have started a project that I think will attract a collaborative effort to find small spaceships of every speed across the vast isotropic rulespace. Here are some rules(? I don't know what to call them.)

1. Spaceships will be optimised by minimum population.
2. Speeds will be expressed unsimplified. (2c/6 is different than c/3)
3. Every ship will be oriented going to the east (orthogonal), southeast (diagonal), or in a position in which it lunges farthest to the right (knightships). No further optimization will be made for the orientation of asymmetric spaceships. Rule optimization will just be non-standard, for smaller spaceships I will try and shorten the rulestring, but for bigger ones I will leave the rulestring as-is in order to encourage further exploration in that rule.
4. Trivial flotillae don't count.

The format is currently: o#c#, d#c#, k#_#c# (with the largest number first in the case of knightships)

Maximum period is set to 1000 so far. Here's a link to the post with the current list of spaceships documented.
Last edited by drc on July 23rd, 2017, 5:50 am, edited 3 times in total.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

Posts: 1665
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

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

I'd recommend putting spaceships of simple speeds as well.
This 16c/44 has a smaller bounding box but same population.
x = 24, y = 5, rule = B3-cky6ci/S23-ce4n7e
16b2o3bo$b2o12b5o2bo$o2bo10bo4bob3o$b2o12b5o2bo$16b2o3bo!

Here's a ridiculously large 12c/31
x = 184, y = 63, rule = B35ce/S234t6c
129b2o$129bobo$131bo11b2o10b2o$92b2o35bobo11b2o11bo$89bo3bo35b2o10b2o
10bo$88bo4bo10b2o10b2o23b2o10b2o$88bo2b2o11b2o10b2o$92b2o37bo$92b2o36b
3o35b2o$89b3o11b3o8b2o13bo3bo34bo$85b2o15bo3bo23b2o2bo33bo2bo$84bo2bo 13bo5bo23b3o35b2o$84bo16b2o3b2o33b3o$90b3o8bobobobo32b2o2bo2bo$58b2ob
2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b 2ob3o3bo2bo30b4o$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bob2o26b2o6bo31bob
o$33bo2bo8bo2bo3b2ob4o2bobo26b3o8bobobobo32b2o2bo2bo$33bobo9bobo4b2o5b
ob2o21bo16b2o3b2o33b3o$20b2o12bo11bo5bo5bo25bo2bo13bo5bo23b3o35b2o$16b
o2b3o31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$bo13b6o68b3o11b3o8b2o13bo3bo 34bo$obo11bobob2o72b2o36b3o35b2o$14bobobo12b2o35b2o22b2o37bo$3o12b3o
11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$bo14bo12bo36bo21bo4bo10b2o10b2o23b 2o10b2o$29bo5bo30bo5bo16bo3bo35b2o10b2o10bo$30bo3bo32bo3bo20b2o35bobo 11b2o11bo$4bo9b2o15b3o9b2o23b3o9b2o49bo11b2o10b2o$5bo8bo2bo24bobo34bob o47bobo$4b2o9b3o23bo5bobo28bo5bobo42b2o$41b2obobob2o28b2obobob2o$4b2o
9b3o23bo5bobo28bo5bobo42b2o$5bo8bo2bo24bobo34bobo47bobo$4bo9b2o15b3o9b
2o23b3o9b2o49bo11b2o10b2o$30bo3bo32bo3bo20b2o35bobo11b2o11bo$29bo5bo
30bo5bo16bo3bo35b2o10b2o10bo$bo14bo12bo36bo21bo4bo10b2o10b2o23b2o10b2o$3o12b3o11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$14bobobo12b2o35b2o22b2o37bo$obo11bobob2o72b2o36b3o35b2o$bo13b6o68b3o11b3o8b2o13bo3bo34bo$16bo2b3o
31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$20b2o12bo11bo5bo5bo25bo2bo13bo5bo 23b3o35b2o$33bobo9bobo4b2o5bob2o21bo16b2o3b2o33b3o$33bo2bo8bo2bo3b2ob 4o2bobo26b3o8bobobobo32b2o2bo2bo$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bo
b2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b2ob3o3bo2bo30b4o$
58b2ob2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$90b3o8bobobobo32b2o2bo2bo$
84bo16b2o3b2o33b3o$84bo2bo13bo5bo23b3o35b2o$85b2o15bo3bo23b2o2bo33bo2b
o$89b3o11b3o8b2o13bo3bo34bo$92b2o36b3o35b2o$92b2o37bo$88bo2b2o11b2o10b
2o$88bo4bo10b2o10b2o23b2o10b2o$89bo3bo35b2o10b2o10bo$92b2o35bobo11b2o 11bo$131bo11b2o10b2o$129bobo$129b2o!

I optimized for bounding box, so a longer one might have a smaller minimum population.
7c/48 diagonal:
x = 4, y = 4, rule = B3-cky8/S234n
bo$2b2o$obo$2o! 10c/27 x = 24, y = 27, rule = B3-cky8/S234n 2bo$2o2$12b2o$11bo2bo$12bobo$13bo3$18b3o$17bo3bo$17b2o3bo$23bo$20bo2bo$23bo$17b2o3bo$17bo3bo$18b3o3$13bo$12bobo$11bo2bo$12b2o2$2o$2bo! c/5 diagonal x = 4, y = 4, rule = B3-cky4k/S23-c4cn b2o$o2bo$2bo$2o!

11c/37
x = 35, y = 8, rule = B34n5y/S2-k34a
b3o16b3o$o2bo8b2o7b2o9bo$bo10b2o8b4obo4b2o$b3obo16bo2bo7b2o$b3obo16bo
2bo7b2o$bo10b2o8b4obo4b2o$o2bo8b2o7b2o9bo$b3o16b3o! I guess it's too much work to search Catagolue as well as the forums. c/6 diagonal x = 3, y = 2, rule = B2-a/S12 2bo$2o!

4c/12
x = 4, y = 4, rule = B2i3-y6ci/S23-e4t
2b2o$o2bo$o2bo$obo! c/30 diagonal x = 4, y = 4, rule = B38/S234wz b2o$o2bo$o2bo$bobo!

4c/14 diagonal
x = 15, y = 15, rule = B38/S234wz
2o$2obo$5bo$bo$4bo$2bo3$8b3o$8bo2bo$8bobo3bo$9bo4bo$14bo$13bo$10b3o!

8c/183
x = 29, y = 5, rule = B2ei3aeiqr4-aiktz5aiqy6ac7c8/S12cin3i4cikwy5-ajr6ain7e
26bo$4bo13bobo5bo$2ob3o11bo2bo4b4o$4bo13bobo5bo$26bo!

2c/14 diagonal
x = 3, y = 3, rule = B34n5y/S2-k34a
bo$2o$b2o!

8c/128 diagonal
x = 4, y = 4, rule = B36in/S234cw
3o$3bo$o2bo$b2o! More coming soon! EDIT: 9c/56 diagonal x = 18, y = 14, rule = B2n3-ej4e6e/S234i 13b2o$13b2o2$7bo$2b2o3bo$2b2obobo5b2o$4bo8bob2o$2b2o$16b2o$16bo$17bo$2obo$o2bo6b2o$b3o6b2o! 3c/10 x = 4, y = 5, rule = B3-y4e6ci/S2-i3-ce b3o$3bo$2b2o$2o$o! EDIT2: The 2c/8 is in a suboptimal phase. x = 3, y = 4, rule = B2-a3-i/S1e3 bo$2bo2$obo! 2c/6 diagonal x = 6, y = 7, rule = B3-j/S0234-r o$b2o$b2o$bobo$2bo2bo$5bo$3b3o! 9c/18 x = 7, y = 8, rule = B2-ai3-in4w/S1c2aei3-aj o4bo$6bo$o4bo$bo$bo$o4bo$6bo$o4bo!

4c/10
x = 5, y = 5, rule = B3-q4n/S23-c
2b2o$bob2o$o2bo$obo$bo!

18c/156
x = 18, y = 19, rule = B3-cky8/S23-c4n
3b3o2$4b2o$4b2o$3bo2bo$4b2o5$o$b2o3$16b2o$15b2o$12bobo$12b3o$13bo! c/3 diagonal x = 3, y = 3, rule = B2-ai3-in4w/S1c2aei3-aj 2bo$bo$obo! 4c/8 x = 7, y = 5, rule = B3-cqy6i/S23-aeky4ai5i 3b2o$o4bo$o4b2o$o4bo$3b2o! 2c/16 x = 4, y = 3, rule = B3-j4nwz5c7/S1c2-ik34i5ac bobo$o2bo$bobo! EDIT3: 16c/52 x = 26, y = 15, rule = B3-y6-a/S23-e 3bo$2bobo$bo2bo$o2bo9bobo$bobo7b3obo$5b2o4b4o6bo2bo$5b2o4bo9bo3bo$4bo
15bobo2bo$5b2o4bo9bo3bo$5b2o4b4o6bo2bo$bobo7b3obo$o2bo9bobo$bo2bo$2bob
o$3bo! 8c/22 x = 15, y = 11, rule = B3-cky6ci/S23-ce4n7e8 12bo$7bobobobo$7bo2bo3bo$7bobobobo$12bo$3o$12bo$7bobobobo$7bo2bo3bo$7b
obobobo$12bo! 8c/16 x = 6, y = 16, rule = B3-j/S234i 2b3o$obo2bo$o4bo$2ob3o$2bo7$2bo$2ob3o$o4bo$obo2bo$2b3o!

c/25 diagonal
x = 6, y = 6, rule = B2-a3-ik4-aik/S23
3bo$4b2o$4b2o$o2bo$b2o$b2o! 17c/34 x = 14, y = 7, rule = B2e3-a4/S23-a4-a7e 9bo$8b3obo$b2o5b2o3bo$2obo4b2o3bo$b2o5b2o3bo$8b3obo$9bo! 14c/28 x = 5, y = 13, rule = B34et/S23-a4eit6 bo$2bo$3b2o$2o2bo$bo2bo$2b2o2$2b2o$bo2bo$2o2bo$3b2o$2bo$bo!

EDIT4:
6c/12
x = 6, y = 7, rule = B2ce3-a/S2
o$bo$bo3bo$bob3o$bo3bo$bo$o!

10c/36
x = 38, y = 19, rule = B3/S2-k34k6c
12b2o$12b2o$7b2o$9bo7bo10bo8bo$6bo2bo7bo10b2o6b2o$9bo7bo10bo8bo$o6b2o$o$o2$o$o$o6b2o$9bo7bo10bo8bo$6bo2bo7bo10b2o6b2o$9bo7bo10bo8bo$7b2o$12b
2o$12b2o! 20c/72 x = 44, y = 13, rule = B3/S2-k34k6c 34bo8bo$34b2o6b2o$34bo8bo2$18bo$18b2o$14bo25bobo$13b2o20bo4bobo$13b2o
7b3o8b2o8bo$2o11b2o20bo4bobo$2o12bo25bobo$18b2o$18bo!

4c/11
x = 9, y = 13, rule = B34t6k/S2-i35a
2bo$bobo$o$o4bo$b2o3bo$5bobo$8bo$5bobo$b2o3bo$o4bo$o$bobo$2bo!

16c/92 diagonal
x = 7, y = 4, rule = B34i5eiy/S234qy
4bo$2bobo$2o3bo$4b3o! 18c/72 x = 46, y = 30, rule = B356/S23 21b3ob3o2$2bo$bobo$o3bo11bo23b2o$o3bo10bo2bo21bob2o$bobo10bo3bo22bo2bo
$2bo12b2obo14bo11bo$16bo14b4o6bo3bo$31bob3o7bo$31bo2b2o$32bobo$33bo5$33bo$32bobo$31bo2b2o$31bob3o7bo$16bo14b4o6bo3bo$2bo12b2obo14bo11bo$bob o10bo3bo22bo2bo$o3bo10bo2bo21bob2o$o3bo11bo23b2o$bobo$2bo2$21b3ob3o!

11c/22
x = 25, y = 15, rule = B3-ky/S23-aiy4anq6n
bo2bo$5o14b3o$o4bo13b2ob2o$2o3bobo13bo2bo$2bo5bo15bo$5b2o17bo$22b3o2$22b3o$5b2o17bo$2bo5bo15bo$2o3bobo13bo2bo$o4bo13b2ob2o$5o14b3o$bo2bo! 18c/87, optimized for bounding box like the 12c/31 x = 37, y = 20, rule = B2i3-ck/S02-i3-ck 33b2o$33b2o$21bobo11bo$21bo2bo8b2o$33b2o$22b2o$11bobo7bo5b2o$2bo9b2o
13b2o$2bo10bo8bo$2bo9b2o$o2bo7bobo$obo$bo5b2o20b2o$7b2o20b2o$2bo20b2o$
23bobo9bo$23b3o9b2o$23bobo10bo$35b2o$35bo!

9c/50 diagonal
x = 23, y = 19, rule = B34-iqr7c/S23-a4i
14bo$14bo$14bo3$b2o$o2bo$4bo11b2o$bo2bo10b2o4bo$2bobo10bo6bo$2b2o11b2o
5bo$15bo6bo$15b2o4bo$16b2o3$7bo$7bo$7bo!

(3,4)c/20
x = 10, y = 8, rule = B3/S234w7c
b3o3bo$2obo$2b2o$5bo$8b2o$9bo$7b2o$7bo! EDIT5: Ships from the oblique ships thread (plus the previous one) (5,16)c/74 x = 5, y = 4, rule = B3/S23-e4e 2b2o$bob2o$o$2o!

(5,2)c/190
x = 22, y = 39, rule = B38/S23
bo$obo$b2o7$18bo$17b2o2$18bo$16b2o4$20b2o$20b2o11$9bo$8b2o2$9bo$7b2o4$11b2o$11b2o!

(2,6)c/21
x = 16, y = 19, rule = B37/S2-i34q
7b5o$6b2o2b2o$6bo2bo2b3o$6b2ob2ob2obo$6b2o2bo4bo$13b2o$11bobo$10bo5$3b
3o$bo2bo$2bo5b2o$obo3bo3bob2o$obo9bobo$bo5b3obobo$12bo!

(3,1)c/13
x = 4, y = 5, rule = B2-ak3/S25ai
b3o$2b2o$3bo$obo$b2o!

(7,8)c/168
x = 7, y = 4, rule = B013568/S01
2obobo$2bo2b2o$2bo$4b2o! (5,7)c/330 x = 6, y = 11, rule = B015/S14 o$o7$4b2o$4b2o$3bo! (3,2)c/23 x = 5, y = 6, rule = B345/S126 o2$3bo$obobo$obo$ob3o! (2,3)c/10 x = 5, y = 3, rule = B2en3/S25678 o2bo$bo2bo$3bo! (2,29)c/89 x = 126, y = 58, rule = B3-k4c/S23 45b2o27bo$41bo3b2o27bo$41bo32bo$41bo$70b3o3b3o$2bobo$3ob2o68bo$2bo2b2o
43bobo21bo$2b2obo44bo2bob2o17bo$3bobo46b2o2b2o$52b2obo$43bo31b2o$43bo 6b2o23b2o$43bo5b3o$50b2o25bo25b3o$39b3o3b3o8b2o18b3o23bo$75b2ob2o22bo 2bo$43bo30bo25b2ob2o3b3o$43bo55bo2bo5b2obo$43bo55bo2bo3bo4bo$101bobo2b 2o3bo$74bobo25b3ob2o2bo$74b3o28bo3b2o7b2o$74b3o27bo4b2o7b2o$100b2o3b2o 2b2o11b2o$100b2o4bo15bobo$123b3o$81bo41b2o$80bobo$38b2o40bobo$38b2o41b o$67b2o19bo13b2o$67b2o8b2o10b2o11bobo$77b2o9b2o14bo$102b3o$101bo$101bo 5bo$108bo$106b3o7$101bo$100bobo$100b2o3bo$105b2o$92bo4bo4bo$91bo9bo5bo 5bo$92bo14bo4b5o$94b2obobo3b3obo3bo5bo$94b2o5bobo6b3o2bob2o$100bo10b2o 2bobo$97b2o13bo$113b3o$114bo!

(1,4)c/25
x = 6, y = 3, rule = B2e3/S2a36
o$bo2bo$3b3o!

(2,15)c/35
x = 51, y = 25, rule = B3aijnq5ce/S23-y4ik5j
5bobo11b2o$18bo2bo$6bo12b2o13b2o$23b2o8bo2bo$23b2o9b2o$38b2o$6bo31b2o
5b2o$45bob2o$5bo39bobobo$17b2o30b2o$17bobo25b2ob2o$2bo16bo10bo12b2o3bo$4bo11bob2o23b5o$2ob2o11b2o27bo2$bo28bo$bobo3bo21b3o$2bo3bo21b2obob2o$3b2o26bo2bo7b2o$2bo2bo26b3o7bobo$2bo2bo6bo31b2o$2b3o7b3o26bob2o$14bo 26b3o$2o10b3o$2o! (1,11)c/30 x = 15, y = 7, rule = B3/S23-c4w7 12bo$11bobo$b2o8bo2bo$2o12bo$o2bo8b3o$o2bo$bobo! (1,6)c/21 x = 5, y = 3, rule = B367/S023-a4i5i o2b2o$b3o$2bo! I have the best signature ever. toroidalet Posts: 827 Joined: August 7th, 2016, 1:48 pm Location: Somewhere on a planet called "Earth" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project Just updated, 45 new, 8 improved This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1665 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project toroidalet wrote:Here's a ridiculously large 12c/31 x = 184, y = 63, rule = B35ce/S234t6c 129b2o$129bobo$131bo11b2o10b2o$92b2o35bobo11b2o11bo$89bo3bo35b2o10b2o 10bo$88bo4bo10b2o10b2o23b2o10b2o$88bo2b2o11b2o10b2o$92b2o37bo$92b2o36b 3o35b2o$89b3o11b3o8b2o13bo3bo34bo$85b2o15bo3bo23b2o2bo33bo2bo$84bo2bo
13bo5bo23b3o35b2o$84bo16b2o3b2o33b3o$90b3o8bobobobo32b2o2bo2bo$58b2ob 2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b
2ob3o3bo2bo30b4o$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bob2o26b2o6bo31bob o$33bo2bo8bo2bo3b2ob4o2bobo26b3o8bobobobo32b2o2bo2bo$33bobo9bobo4b2o5b ob2o21bo16b2o3b2o33b3o$20b2o12bo11bo5bo5bo25bo2bo13bo5bo23b3o35b2o$16b o2b3o31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$bo13b6o68b3o11b3o8b2o13bo3bo
34bo$obo11bobob2o72b2o36b3o35b2o$14bobobo12b2o35b2o22b2o37bo$3o12b3o 11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$bo14bo12bo36bo21bo4bo10b2o10b2o23b
2o10b2o$29bo5bo30bo5bo16bo3bo35b2o10b2o10bo$30bo3bo32bo3bo20b2o35bobo
11b2o11bo$4bo9b2o15b3o9b2o23b3o9b2o49bo11b2o10b2o$5bo8bo2bo24bobo34bob
o47bobo$4b2o9b3o23bo5bobo28bo5bobo42b2o$41b2obobob2o28b2obobob2o$4b2o 9b3o23bo5bobo28bo5bobo42b2o$5bo8bo2bo24bobo34bobo47bobo$4bo9b2o15b3o9b 2o23b3o9b2o49bo11b2o10b2o$30bo3bo32bo3bo20b2o35bobo11b2o11bo$29bo5bo 30bo5bo16bo3bo35b2o10b2o10bo$bo14bo12bo36bo21bo4bo10b2o10b2o23b2o10b2o
$3o12b3o11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$14bobobo12b2o35b2o22b2o37bo
$obo11bobob2o72b2o36b3o35b2o$bo13b6o68b3o11b3o8b2o13bo3bo34bo$16bo2b3o 31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$20b2o12bo11bo5bo5bo25bo2bo13bo5bo
23b3o35b2o$33bobo9bobo4b2o5bob2o21bo16b2o3b2o33b3o$33bo2bo8bo2bo3b2ob
4o2bobo26b3o8bobobobo32b2o2bo2bo$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bo b2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b2ob3o3bo2bo30b4o$58b2ob2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$90b3o8bobobobo32b2o2bo2bo$84bo16b2o3b2o33b3o$84bo2bo13bo5bo23b3o35b2o$85b2o15bo3bo23b2o2bo33bo2b o$89b3o11b3o8b2o13bo3bo34bo$92b2o36b3o35b2o$92b2o37bo$88bo2b2o11b2o10b 2o$88bo4bo10b2o10b2o23b2o10b2o$89bo3bo35b2o10b2o10bo$92b2o35bobo11b2o
11bo$131bo11b2o10b2o$129bobo$129b2o! Smaller: x = 68, y = 56, rule = B35ce/S234t6c 14b2o10b2o10b2o$14b2o11bo10b2o$12b2o10bo11b2o$12b2o10b2o10b2o2$50b2o$
18bo30bo2bo$17b2o30bo2bo$16bo32bo3bo$17b2obo29bo2bo$18b3o30b2o10b2o$62bo3bo$30b3o28bo5bo$29bo2b2o27bo5bo$28bo5bo26bo5bo$29bo2b2o28bo3bo$
30b3o18b2o10b2o$50bo2bo$18b3o28bo3bo$17b2obo28bo2bo$16bo32bo2bo$17b2o 31b2o$18bo4$39bobo$40b2o$40b2o$35bo5$16bo32bo$16b2o30b2o$17b3o27bo$18b
obo27b2obo$49b3o$o27bo$27bo2bo30b3o$29b2o29bo2b2o$27bo2bo28bo5bo$o27bo
31bo2b2o$61b3o$18bobo$17b3o29b3o$16b2o30b2obo$16bo30bo$48b2o$49bo2$10b
2o10b2o10b2o$10b2o10bo11b2o$12b2o11bo10b2o$12b2o10b2o10b2o! Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) : 965808 is period 336 (max = 207085118608). AbhpzTa Posts: 359 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project Accidentally forgot to mention I found a very small 12c/31 that let its exhaust die out, so I put that in the project folder right after I found it, which was when I was reading the post and adding the spaceships. This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1665 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project (3,2)c/9: x = 3, y = 4, rule = B34-air5/S234-ai b2o$2bo$b2o$3o!
(I hope I got that right, I've never discovered an oblique before)
x = 8, y = 10, rule = B3/S23
3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo! No football of any dui mauris said that. 83bismuth38 Posts: 400 Joined: March 2nd, 2017, 4:23 pm Location: Still sitting around in Sagittarius A... ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project 10c/88 x = 6, y = 10, rule = B3-e4c5e6a/S2-i3-c7 2b3o$2bo2bo$bo2b2o$3bo$o2bo$2obo$3bo2$b2ob2o$3b2o! Rhombic Posts: 857 Joined: June 1st, 2013, 5:41 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project An excellent collection of small ships! You may find some of the bullets fired by the gun collections in this thread: viewtopic.php?f=11&t=2792#p41832 useful. Some sample bullets follow: x = 11, y = 71, rule = b2cea3n4ek5ceyqj7e/s2ea3knj4yz5eayq6ea 9.A$10.A$10.A$9.A9$10.A$8.A.A10$10.A$10.A$7.A.A9$8.A.A$10.A$7.A.A$8. A7$9.A$10.A$10.A$9.A$8.A$6.A6$4.A.A$4.A.A.A.A$4.A.A.A.A$4.A.A7$A.A.
A.A2$A.A.A.A3.A$A.A.A.A3.A2$A.A.A.A! x = 200, y = 46, rule = b2eai3knq4enqj5yqj6ek8/s2a3kqj4nqz5eyj8 99.A5.A$104.A.A53.A$29.A.A19.A.A49.A.A.A51.A.A15.A.A$30.A.A3.A16.A36.
A7.A3.A3.A.A51.A.A16.A18.A$29.A.A.A.A.A13.A3.A17.A17.A15.A.A15.A.A17. A17.A15.A.A17.A$35.A.A17.A17.A15.A.A15.A.A17.A17.A17.A15.A.A17.A$54. A15.A.A17.A7.A3.A3.A.A17.A13.A.A.A15.A.A16.A18.A$51.A.A15.A.A17.A13.
A.A.A33.A17.A.A15.A.A$70.A15.A.A15.A.A53.A$99.A5.A9$192.A.A.A$189.A
7.A$50.A3.A121.A.A.A11.A.A.A.A$35.A.A9.A.A3.A.A17.A17.A17.A15.A.A17.
A15.A.A17.A17.A$37.A15.A.A17.A17.A17.A17.A17.A17.A15.A.A13.A3.A$36.
A9.A.A.A3.A11.A.A3.A11.A.A3.A11.A.A3.A17.A17.A49.A.A.A$32.A.A32.A3. A13.A3.A13.A3.A15.A.A15.A.A$34.A33.A.A15.A.A15.A.A$67.A.A15.A.A15.A .A$66.A.A15.A.A17.A$65.A.A17.A$66.A6$136.A3.A.A$112.A.A3.A.A.A14.A3.
A.A$54.A17.A15.A.A15.A.A6.A7.A2.A9.A5.A.A15.A.A17.A$5.A31.A17.A14.A
2.A17.A15.A.A4.A.A.A.A.A.A2.A17.A17.A4.A.A3.A.A.A2.A15.A.A$5.A31.A13. A.A.A13.A.A.A17.A17.A5.A3.A.A.A.A.A11.A.A3.A17.A7.A3.A.A.A.A15.A.A$
A3.A15.A5.A.A3.A3.A17.A15.A.A33.A.A5.A.A.A3.A3.A13.A.A.A17.A9.A3.A.
A.A15.A.A$3.A13.A7.A5.A.A.A123.A.A9.A.A3.A.A$2.A21.A.A.A.A.A.A$5.A15. A7.A.A.A$6.A15.A5.A.A.A$31.A! x = 220, y = 94, rule = b2ea3nr4kiyz5kin/s3r4i5kiny6n 27.A$26.A.A$25.A.A.A36.A$24.A.A.A.A34.A.A36.A$25.A.A.A.A32.A.A.A34. A.A$26.A.A.A.A30.A.A.A.A32.A.A.A73.A$27.A3.A.A30.A3.A.A30.A3.A.A71. A.A36.A$34.A36.A36.A73.A36.A$34.A36.A36.A73.A36.A$27.A3.A.A30.A3.A.
A30.A3.A.A73.A36.A$28.A.A.A30.A.A.A.A32.A.A.A$29.A.A32.A.A.A34.A.A$30.A34.A.A36.A$66.A$17.A$16.A.A$15.A.A.A$14.A.A.A.A$13.A.A.A.A.A157. A36.A$12.A.A.A.A.A.A157.A.A34.A.A$11.A.A.A.A.A.A.A156.A.A34.A.A$10.
A.A.A.A.A.A.A.A152.A3.A34.A$9.A.A.A.A.A.A.A.A.A$8.A.A.A.A.A.A.A.A.A
.A$7.A.A3.A.A.A.A.A.A.A.A36.A36.A$6.A.A5.A.A.A.A.A.A.A.A34.A.A34.A.
A$5.A.A7.A.A.A.A.A.A.A.A32.A.A.A32.A.A.A$4.A.A9.A.A.A.A.A.A.A.A30.A
.A.A.A30.A.A.A.A$3.A.A11.A.A.A3.A.A.A.A30.A.A.A.A30.A.A.A.A$2.A.A13.
A.A5.A.A.A.A30.A.A.A.A30.A.A.A.A$3.A15.A7.A3.A.A30.A3.A.A30.A3.A.A20. A42.A40.A$34.A36.A36.A20.A.A.A.A.A.A.A.A.A26.A.A.A.A.A.A30.A.A.A.A$34.A36.A36.A20.A.A.A.A.A.A.A.A.A26.A.A.A.A.A.A30.A.A.A.A$3.A15.A7.A
3.A.A22.A7.A3.A.A30.A3.A.A20.A42.A40.A$2.A.A13.A.A5.A.A.A.A22.A.A5. A.A.A.A30.A.A.A.A$3.A.A11.A.A.A3.A.A.A.A24.A.A3.A.A.A.A30.A.A.A.A$4. A.A9.A.A.A.A.A.A.A.A26.A.A.A.A.A.A30.A.A.A.A$5.A.A7.A.A.A.A.A.A.A.A
28.A.A.A.A.A32.A.A.A$6.A.A5.A.A.A.A.A.A.A.A30.A.A.A.A34.A.A$7.A.A3.
A.A.A.A.A.A.A.A32.A.A.A36.A$8.A.A.A.A.A.A.A.A.A.A34.A.A$9.A.A.A.A.A
.A.A.A.A36.A148.A.A$10.A.A.A.A.A.A.A.A189.A$11.A.A.A.A.A.A.A107.A.A
.A.A.A.A.A.A32.A.A.A32.A.A.A$12.A.A.A.A.A.A112.A.A.A.A.A.A36.A32.A. A.A$13.A.A.A.A.A112.A38.A.A.A3.A32.A$14.A.A.A.A110.A.A46.A30.A.A$15.
A.A.A153.A5.A$16.A.A155.A3.A$17.A157.A.A4$207.A.A$179.A.A28.A$178.A 3.A28.A.A.A.A.A$180.A.A28.A.A.A.A.A$173.A3.A.A30.A$99.A72.A.A.A.A28.
A.A$26.A36.A34.A.A70.A.A.A.A$25.A.A34.A.A32.A.A.A68.A.A.A.A$24.A.A. A32.A.A.A30.A.A.A.A68.A.A.A$23.A.A.A.A30.A.A.A.A28.A.A.A.A.A68.A.A$22.A.A.A.A.A28.A.A.A.A.A26.A.A.A.A.A.A68.A$21.A3.A.A.A.A26.A3.A.A.A
.A24.A.A3.A.A.A.A$20.A5.A.A.A.A24.A5.A.A.A.A22.A.A5.A.A.A.A110.A$19.
A7.A3.A.A22.A7.A3.A.A22.A7.A3.A.A69.A38.A.A$34.A36.A36.A69.A.A.A36. A$34.A36.A36.A69.A.A.A36.A$19.A7.A3.A.A22.A7.A3.A.A22.A7.A3.A.A67.A .A38.A.A$20.A5.A.A.A.A22.A.A5.A.A.A.A22.A.A5.A.A.A.A69.A40.A$21.A3. A.A.A.A24.A.A3.A.A.A.A24.A.A3.A.A.A.A$22.A.A.A.A.A26.A.A.A.A.A.A26.
A.A.A.A.A.A$23.A.A.A.A28.A.A.A.A.A28.A.A.A.A.A$24.A.A.A30.A.A.A.A30.
A.A.A.A$25.A.A32.A.A.A32.A.A.A$26.A34.A.A34.A.A76.A38.A$62.A36.A76. A.A36.A.A$177.A.A36.A.A$180.A.A36.A$180.A.A36.A$177.A.A36.A.A$176.A
.A36.A.A$177.A38.A7$A$.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A. A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A .A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A. A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$A! There are many more small ships featured there but unfortunately you will have to run the guns to find them. Some errors, the original file name is on the left and the correct file name is on the right. errors.png (73.3 KiB) Viewed 3280 times The asterisk indicates that the pattern is not a ship but does evolve into one. o6c50 is not a ship. Brian Prentice bprentice Posts: 407 Joined: September 10th, 2009, 6:20 pm Location: Coos Bay, Oregon ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project Fixed all the errors, thanks. The most curious of them all was, of course, the o6c50.rle case, where that rule DOES have a ship, but it's o12c122. I have no idea what happened in all honesty. Plus I was up at 02:00 one night. I'm not including B0 rules for now because I feel like those rules aren't as 'genuine' , in the sense that they are really strobing rules and don't have any real spaceships. Feel free to argue this cause with me,though. This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1665 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project c/14 diagonal x = 3, y = 3, rule = B2ek3-qy6cik/S2aein3inr4ai5i bo$o$2bo! c/12 diagonal x = 4, y = 4, rule = B2cek3acijr5c6cik/S2-ck3inr 3bo2$3bo$obo! We should devise a modified apgcode for these so they will be dc14_214, and dc12_8085. oc3_1101 x = 4, y = 1, rule = B2ci3ai6c/S02ac3-en 2obo! 6k1c88_ec23 (yes, it's a bit awkward.) x = 4, y = 4, rule = B2in3/S2-in3-jr4ajr 3bo$ob2o$2o$2o!

2k3c30_2li
x = 3, y = 5, rule = B2e3-cey/S1c2ace3ajnr
bo$obo$bo2$b2o! 1k7c71_699azwccw4aa4 x = 10, y = 9, rule = B3/S2-n34z6c b2o$o2bo$o$b3o3$7b2o$2b2o2bo2bo$2b2o3b2o! EDIT: Just to make things clear, these are the codes for the ship in the optimal phase (lowest bounding box of all phases with minimum population, heading east or southeast or moving most to the right) o4c12_147 x = 3, y = 3, rule = B2-ae3aijy4t/S02ack3in obo$2bo$b2o! EDIT2: d4c14_28092 x = 5, y = 4, rule = B2-ai/S02i3j 3bo$o3bo2$bobo! Can someone help? I'm running out of steam (ships) here! EDIT3: o6c12_44y1ewh4 x = 12, y = 5, rule = B2ikn3ainqy4int5r67/S0 10bo$7bo$2o5bo3bo$7bo$10bo! dc8_215 x = 3, y = 3, rule = B2-ae3-i4e/S02 b2o$o$2bo! I have the best signature ever. toroidalet Posts: 827 Joined: August 7th, 2016, 1:48 pm Location: Somewhere on a planet called "Earth" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project bumped also d8c28_o88f1t4z103111 x = 7, y = 7, rule = B2ek3ai6a/S2-i3-a4eijktz 3b3o$3bo$3bob2o$4obo$o4bo$ob4o$2bo! d5c28_31ck8 x = 5, y = 5, rule = B2ek3ai6a/S2-i3-a4eijktz 2o$o$2b2o$2bobo$3bo! d12c42_o88f1i8z010211 x = 7, y = 7, rule = B2ek3ai6i/S2-i3-a4eijkt 3b2o$3bobo$3bo$4o2bo$o4bo$bo2b2o$3bo! d18c63_7d72zy15kngeqzy210111 x = 11, y = 11, rule = B2ek3ai/S2-i3-a4ijk 3o$ob2o$3o$bo2$5bobo$7bob2o$5b3obo$9b2o$6b3obo$6bob3o!

EDIT:d2c14_1w5
x = 4, y = 3, rule = B2cek3k4c5y/S02i3j
o2bo2$3bo! 3k17c41_33033z0gggy9gggz1443y81443 x = 20, y = 13, rule = B3-ej4e/S234i 2ob2o$2ob2o8$b3o13b3o$o2bo12bo2bo$3bo15bo$b2o14b2o!
Last edited by toroidalet on June 21st, 2017, 3:50 pm, edited 1 time in total.
I have the best signature ever.

toroidalet

Posts: 827
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

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

A lot of strange speeds that I have found

6c/66 orthogonal:
x = 4, y = 5, rule = B2-ac3-jnqr67e8/S1c23-akny4
obo$obo$obo$o2bo$o!

3c/25 diagonal:
x = 3, y = 3, rule = B34eqyz5/S23
3o$o$o!

c/2 diagonal:
x = 5, y = 5, rule = B2a3an4i5r/S2ae3a4a
2b3o$bo$o$o2b2o$o2bo!

c/64 orthogonal:
x = 5, y = 5, rule = B2-ac3-jnqr/S1c23-akny4
2o$b4o$4bo$b4o$2o!

Smaller 3c/10 diagonal:
x = 4, y = 6, rule = B2-ac3-jnqr/S1c23-akny4
b2o$2bo$2b2o$obo$obo$3o! 3c/212 diagonal: x = 6, y = 11, rule = B2-ac3-jnqr/S1c23-akny4 4bo$3b3o$3bobo$3bo$3b2o$bo$2b4o$b2ob2o$4bo$o3bo$3o! Smaller 3c/10 orthogonal: x = 2, y = 8, rule = B2en3-ckqy5akqy68/S12ei3an578 bo$o2$bo$bo2$o$bo!

2c/46 diagonal:
x = 5, y = 5, rule = B2en3-ckqy5akqy68/S12ei3an578
obo$bo2$3b2o$3b2o! 4c/14 orthogonal: x = 6, y = 6, rule = B2n34ckqz/S23 bo$o3bo$bo3bo$3bobo$2bo2bo$3bobo!

2c/18 diagonal:
x = 5, y = 3, rule = B34eqyz5-k/S23
ob3o$ob2o$2bo!

Smaller c/16 diagonal:
x = 3, y = 4, rule = B2ek3-ajny4aw/S02-ei3n4aq
o2$2bo$o!

16c/38 orthogonal based repship:
x = 48, y = 15, rule = B2i34cejqwyz/S23
14bo$12b4o$10b2o$11b2o17bo$29bobo11bo$28bo2bo10b2ob2o$b2o14b2o8b5o3b2o
6bo3bo$o2bo13b2o7b3o7bo6bo3bo$b2o14b2o8b5o3b2o6bo3bo$28bo2bo10b2ob2o$
29bobo11bo$11b2o17bo$10b2o$12b4o$14bo!

(2,1)c/105:
x = 4, y = 7, rule = B2n34cqz5ckny/S23
3o$bo4$2b2o$2b2o! EDIT 1, ones not found by me, in the glider database, I have a huge list of totalistic ships: 4c/6 orthogonal: x = 4, y = 5, rule = B256/S03 2bo2$o2bo2$2bo! 26c/60 orthogonal: x = 132, y = 22, rule = B38/S02456 79b3o$29bobo45bob3o$28b2obo19bobo23bo17b2o18bo$28bo2bo16b3ob3o20b2o17b
obo8bo13b3o6bo$16bo12b2o18bo2b2o21bo2b2o10bo4b2o7b3o3bo6b3ob3o4bobo$6b
o7b3o4bo7b2o9b3o5bob2obo12b3o5bo6b2o7b2ob2obo6bo3bobobo5bobo4bo4b3o$5b o9b2o23b3o4b3o4b2o10b3o5bo6b2o7b2ob2obo6bo3bobobo5bobo4bo4b3o$8bo8bo3b
o9bo17b2o2b3o2bo16bo2b2o10bo4b2o7b3o3bo6b3ob3o4bobo$6b3o39b4o3b3obo15b 2o17bobo8bo13b3o6bo$7b2o19b2o18bo2b6obo18bo17b2o18bo$bo46b3ob3o22bob3o$obo24bobo21bobo2bo22b3o3bo22bo$bo2bobo21bobobo2bo13bob2o3b3o26bo18bo 4b2o$2b3obo19bo2b2ob3o14b4ob2o2bo6b2o13bo3bo24bobo4b2o$3bo2bo14bobo2bo b6obobo12bobo4b2o6b4obo9bo5bob2o4bo4bo7bo5b2o3bo$2b2o18bobo3bob2o5bo
11bo5bo13bobo8b5o7b2ob2obobo4b3o3b2o5b2o$b3o16bo3bo4bobo4bo13bo2bo14bo bo9b5o7b2ob2obobo4b3o3b2o5b2o$2b2o18bo4b2obobobo16bob2o10bo2bo11bo5bob
2o4bo4bo7bo5b2o3bo$29bob4o17b3o13b2o14bo24bobo4b2o$30bobo20bo13bobo15b
o18bo4b2o$66b3o16bo22bo$66bobobo!

Same pop and smaller bounding box for 3c/7:
x = 4, y = 5, rule = B34/S12567
2bo$3bo$o2bo$3bo$2bo!

11c/38 orthogonal:
x = 12, y = 15, rule = B3/S2378
9bo$8bobo$7b2ob2o$3o5bo2bo$o8b2o$o4$o$o8b2o$3o5bo2bo$7b2ob2o$8bobo$9bo! 2c/9 orthogonal: x = 3, y = 7, rule = B3/S246 o$bo$2bo$2bo$2bo$bo$o! 4c/30 orthogonal: x = 3, y = 5, rule = B346/S013 o$bo2$2bo$2o!

2c/19 orthogonal:
x = 5, y = 5, rule = B347/S02567
bobo$o$2b3o$bo$3bo!

2c/25 orthogonal:
x = 5, y = 16, rule = B36/S237
2o$2o4$2b2o$bo2bo$bo2bo$bo2bo$bo2bo$2b2o4$2o$2o! 2c/26 orthogonal: x = 5, y = 4, rule = B34/S02567 4bo$3b2o$3o$bobo!

2c/27 orthogonal:
x = 6, y = 9, rule = B347/S037
2bo$o$4bo$o$obo2bo$o$4bo$o$2bo!

2c/31 orthogonal:
x = 3, y = 10, rule = B36/S013567
2bo$o$bo$2o$bo$bo$2o$bo$o$2bo! c/18 orthogonal: x = 6, y = 9, rule = B3567/S0145 5bo$2bo$3bo2$o2b2o2$3bo$2bo$5bo! 2c/35 orthogonal: x = 8, y = 10, rule = B346/S04578 5bo$3b2o$4b2o$o3b2o$obo2b3o$obo2b3o$o3b2o$4b2o$3b2o$5bo!

2c/43 orthogonal:
x = 5, y = 9, rule = B346/S1468
2o$2bo$2bo$2bobo$obobo$2bobo$2bo$2bo$2o!

2c/15 diagonal:
x = 7, y = 7, rule = B347/S247
3b2o$5bo$6bo$o3b2o$o2b3o$bob2o$2bo!

2c/21 diagonal:
x = 9, y = 9, rule = B3567/S1357
6bo$5bo$6b2o$7bo$8bo$bo4bo$obo2bo2bo$2b2o$4bobo!

2c/25 diagonal:
x = 5, y = 5, rule = B34/S0256
2b2o$b2o$2obo$obobo$3bo!

smaller c/14 diagonal:
x = 4, y = 3, rule = B3/S0124
3bo$3bo$2o!
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

Posts: 343
Joined: July 1st, 2016, 3:58 pm

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

dc2_e1d5
x = 4, y = 4, rule = B2a3a4i/S2ae3a
b3o$o$ob2o$obo! o4c8_1w1011 x = 7, y = 1, rule = B2ac3nr4ci5y/S0 o2bob2o! d4c8_80gps x = 5, y = 5, rule = B2a3acr4ai/S2ae3a 3bo2$4bo$o2b2o$2b3o!

d8c16_xg1024z12036062
x = 8, y = 8, rule = B2ae3acr4ai/S2ae3a
4bo$6bo$7bo2$3bo$o2bo$bob2ob2o$4bobo!
I have the best signature ever.

toroidalet

Posts: 827
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

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

How about an 8c/96 diagonal? Pretty weird and exotic speed if I do say so myself.

x = 76, y = 76, rule = B3/S23
59b2o$59b2o7$67b2o$67b2o4$56bo$55b3o$55bob2o$54b2o$54b2o$54b2o$58bo13b
o$57b2o10b2o$55bobo11b2ob2o$54bo2bo13bo$55b2o12b2o2$56bo13b2o$56bo$46b 2ob2o5bo16bo$46bo2bo20bobo$48b2o21bo2b2o$47bo$46bobo4$48b4o$48bo10$27b
2o2bo$27bo2bo$29bobo3b2o$27b3o5bo$27bo7bo$35bo3$16b3o3bo$14b5o2bobo$
13b2o8bob3o$14b2o4b3o$15bo3b2o$2o$2o7$8b2o$8b2o$20b2obo$20b2obobo2bo$22bo2bo3bo$19bobo6bo$21bo5bo$29bo$29bo! More ships: x = 41, y = 48, rule = B358/S238 16$15bo$14bobo$14bobo$16bo$14bo$13b3o4b3o$19bob2o$19bobob2o$19bob2o$13b3o4b3o$14bo$16bo$14bobo$14bobo$15bo!

x = 8, y = 8, rule = B3457/S456
3b4o$b6o$b7o$5obo$4ob3o$3ob3o$7o$2bobo! Also, some soups that emit velocities that don't appear to be documented yet: x = 16, y = 16, rule = B2i3ai4/S23 bboboooooobobbbb$
obooobbboboobbbb$obobbboobboobobb$
bobbooobboooobob$obbbobbbbbbooobo$
bbooobobbbbobobb$boobbbbobbboboob$
boobboboboooobbo$bbooobobbobboboo$
bobboboboooobbob$boboboboboboobbo$
oboooooooobooobo$booboooooboooooo$
bbbooboboboooboo$boboobbbboobbbbb$
obobboobbbbbbobb!

x = 16, y = 16, rule = B3678/S35678
ooobobobbbboobob$bboobboboooobbbb$
bobbboobbooboooo$oboobbbbbbbbobbb$
bbobboobbobbobbo$booooooboooboobb$
bbobbbbooooobobb$bbooooobbooobboo$
obbobbooboobbbbb$ooobbbbbbooboobo$
bobboboobbobobbo$obbbbbbbboooobbo$
bbbooooooooboboo$bbboobbobobbbooo$
obobooooboboobbo$boobobboobbbbooo! 2c/n spaceships project Current priorities: see here muzik Posts: 2651 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project I am just trying to fill in the gaps in the list, so these are probably not optimal, unfortunately a lot of my minimum size ships for totalistic rules are B0 rules. Do you want to see the list, drc? C/21 diagonal: x = 10, y = 10, rule = B345/S05 5bobobo$bo3bo$5bo3bo$5bo3bo$5bo3bo$6o$7bobo$o5b2o2$ob3obo! C/23 diagonal: x = 4, y = 4, rule = B3567/S02467 2o$o2bo2$bo! C/24 diagonal: x = 6, y = 3, rule = B36/S01356 2bo2bo$4obo$4bo! C/27 diagonal: x = 8, y = 8, rule = B356/S13 4bob2o$3b2o$5bo$bo$2o$2bo$o$o!

C/29 diagonal:
x = 11, y = 11, rule = B3678/S1348
9b2o$9b2o2$6bobo$6bo$7bo$3b2o2bo$5b3o$3bo$2o$2o! Smaller c/30 diagonal: x = 4, y = 3, rule = B3567/S1256 ob2o$o2bo$bobo! c/33 diagonal: x = 17, y = 17, rule = B36/S035678 3bo$b4o2bo$b8o$12o$b11o$2b11o$2b11o$b12o$2b11o$3b12o$3b11o$3b12o$5b12o$9b8o$9bob4o$12b2o$12b2o! 2c/68 diagonal: x = 6, y = 4, rule = B35/S0135 2bo$2bobo$4o$3bobo!

c/37 diagonal:
x = 12, y = 12, rule = B345/S05
6bo$11bo$4b2ob3obo$11bo$2bo5b4o$2bo$o6b4o$2bo3b2o$2bobobo$2bobobo$4bob
o$b4o! c/38 diagonal: x = 4, y = 5, rule = B345/S0145 b2o$3o$2bo$obo$3bo! c/45 diagonal: x = 8, y = 8, rule = B37/S014567 4bo$2b2o$b5o$b6o$ob2ob2o$2b5o$3b5o$6bo!

2c/112 diagonal:
x = 6, y = 4, rule = B34/S0145
obo$o$b2obo$2o3bo! c/59 diagonal: x = 8, y = 8, rule = B34/S0156 4bo$3bo$6bo$bo$o5b2o2$2bobobo$4bo! c/62 diagonal: x = 7, y = 7, rule = B345/S0457 bobo$5bo$b2ob2o$o5bo$2bo$b2o2b2o$3bobo! c/86 diagonal: x = 7, y = 6, rule = B346/S0157 4bo$3o$o5bo$6bo$obo$4bo!

c/93 diagonal:
x = 7, y = 7, rule = B36/S2456
2bo2bo$2bob2o$7o$2bo$b2o$3o$2bo!

c/116 diagonal:
x = 6, y = 6, rule = B346/S01458
2bobo$bob2o$bo2b2o$2bob2o$o2bo$bo! c/118 diagonal: x = 8, y = 8, rule = B347/S356 2bo2bo$b2obo$5ob2o$2bobobo$b3o2bo$o$2b3o$2bo!

EDIT 1:

12c/50 orthogonal:
x = 6, y = 8, rule = B2-ac3-jnqr/S1c23-akn4
3o$o2$4b2o$3ob2o$obobo$obobo$2b3o!

Better c/7 orthogonal:
x = 2, y = 5, rule = B345/S016
o2$2o2$o!
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

Posts: 343
Joined: July 1st, 2016, 3:58 pm

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

C/2 diagonal:
x = 3, y = 4, rule = B2ac/S1
2bo2$b2o$o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1506
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

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

I had a bunch of spaceships in this post, but the page refreshed, so excuse me while I type out this behemoth of a post again.

Some ships from my orthogonal ships thread that don't seem to be on here yet:

c/18:
, y = 6, rule = B3567/S0145
o7bo$4bo$2bobobo$bo5bo2$4bo!
!

c/21:
x = 5, y = 8, rule = B36/S0135
bobo$2bo$2bo$bobo$bobo$o3bo2$2bo!

c/22:
x = 8, y = 6, rule = B3567/S1367
b2o2b2o$obo2bobo$2bo2bo3$3b2o! c/24: x = 7, y = 12, rule = B2e3ai4arw5678/S3-an4ar5i678 3bo$bobobo$2b3o$7o$b5o$7o$7o$2b3o$bobobo$2b3o$3bo$3bo!

c/29:
= 7, y = 4, rule = B345/S0478
2b3o$ob3obo$b5o$o5bo! c/30: x = 9, y = 5, rule = B346/S3578 bo5bo$b2obob2o$3o3b3o$4bo$bo5bo! c/44: x = 7, y = 8, rule = B34568/S458 2b3o$2obob2o2$o5bo$7o$7o$bobobo$bobobo! c/64: x = 5, y = 5, rule = B2-ac3-jnqr/S1c23-akny4 b3o$bobo$bobo$2ob2o$o3bo! c/2068: (I'm surprised you forgot this one, unless you're excluding the ridiculous ships) x = 8, y = 8, rule = B34578/S456 bobobo$2b4o$2ob2o2bo$4obobo$2ob3o$8o$2b4o$b3obo!

c/5648: (this one even more so)
x = 12, y = 14, rule = B3457/S4568
5b2o$3bo4bo$3b2o2b2o$b3o4b3o$b3o4b3o$2ob6ob2o$3ob4ob3o$ob3o2b3obo$2ob
6ob2o$obobo2bobobo$2b2ob2ob2o$2b8o$4b4o$4bo2bo! 2c/n spaceships project Current priorities: see here muzik Posts: 2651 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project The c/64 is only in this thread, found by me, so it is already been posted, I am not sure why it ended up in your post. Things to work on: - An Isotropic version of All_Speeds - Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y - Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules) AforAmpere Posts: 343 Joined: July 1st, 2016, 3:58 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project I have added all of the discoveries, apologies for the wait. The only ship I contributed is this dc28: x = 4, y = 5, rule = B3-n4c8/S2-i34-ar6ci 2o$b2o$3bo$2bo$3bo! I promise I will have more next time. muzik wrote:(I'm surprised you forgot this one, unless you're excluding the ridiculous ships) I wrote:Maximum period is set to 1000 so far. I also wrote:*facepalm* This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.) Current rule interest: B2ce3-ir4a5y/S2-c3-y drc Posts: 1665 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project c/20 orthogonal: x = 4, y = 5, rule = B35678/S1247 obo$2bo$o2bo$2bo$obo! c/23 orthogonal: x = 4, y = 7, rule = B3/S0145678 bo$bo2$2obo2$bo$bo! c/26 orthogonal: x = 7, y = 6, rule = B3457/S04578 2bobo$4ob2o$o5bo$o5bo$4ob2o$2bobo!

EDIT 1: 3c/30 diagonal
x = 5, y = 5, rule = B3-q4nrt5nr6i/S2-c3-q4r5cejn
o2bo$4bo$2o$bobo$2b3o!

EDIT 2: 13c/512 diagonal
x = 26, y = 27, rule = B2-ac3-jnqr5y67e8/S1c23-akny4
o2bo$o2bo$4o$b2o13$18bo$8bobo5bob3o$10bo5bo3bo$7bo8b2o2bo$7b3o2bo4bobo
2b2o$5b2ob3ob2o4bo3bo$8bo9b5ob2o$7bobobo13bo$25bo$19bo4bo$21b2o!
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

Posts: 343
Joined: July 1st, 2016, 3:58 pm

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

Almost a p3 knightship:
x = 4, y = 3, rule = B2acn3r4at/S01e2ac3ir
3o$bobo$obo!

Can anyone find a real one?
EDIT: 2c/3 orthogonal:
x = 3, y = 2, rule = B2ac3ae4t5e/S1c2i3i
bo$3o! x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1506 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project Are p3 knightships only possible in B2a rules? Things to work on: - An Isotropic version of All_Speeds - Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y - Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules) AforAmpere Posts: 343 Joined: July 1st, 2016, 3:58 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project AforAmpere wrote:Are p3 knightships only possible in B2a rules? I believe so. I think the same goes for p4 knightships, although I don't know if those are possible in any rule. EDIT: Actually, they may be possible in B1e rules as well. Definitely nothing without either of those transistions, though. Last edited by A for awesome on June 19th, 2017, 3:47 pm, edited 1 time in total. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1506 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project There is a p4 knightship in a B0 rule if that counts Here's a (3,1)c/3 close call: x = 3, y = 3, rule = B2a/S1e2i 3o2$2bo!
Things to work on:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

Posts: 343
Joined: July 1st, 2016, 3:58 pm

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

See my edit, actually.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1506
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

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