## 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: 1664
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-ce4n7e16b2o3bo$b2o12b5o2bo$o2bo10bo4bob3o$b2o12b5o2bo$16b2o3bo!

Here's a ridiculously large 12c/31
x = 184, y = 63, rule = B35ce/S234t6c129b2o$129bobo$131bo11b2o10b2o$92b2o35bobo11b2o11bo$89bo3bo35b2o10b2o10bo$88bo4bo10b2o10b2o23b2o10b2o$88bo2b2o11b2o10b2o$92b2o37bo$92b2o36b3o35b2o$89b3o11b3o8b2o13bo3bo34bo$85b2o15bo3bo23b2o2bo33bo2bo$84bo2bo13bo5bo23b3o35b2o$84bo16b2o3b2o33b3o$90b3o8bobobobo32b2o2bo2bo$58b2ob2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b2ob3o3bo2bo30b4o$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bob2o26b2o6bo31bobo$33bo2bo8bo2bo3b2ob4o2bobo26b3o8bobobobo32b2o2bo2bo$33bobo9bobo4b2o5bob2o21bo16b2o3b2o33b3o$20b2o12bo11bo5bo5bo25bo2bo13bo5bo23b3o35b2o$16bo2b3o31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$bo13b6o68b3o11b3o8b2o13bo3bo34bo$obo11bobob2o72b2o36b3o35b2o$14bobobo12b2o35b2o22b2o37bo$3o12b3o11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$bo14bo12bo36bo21bo4bo10b2o10b2o23b2o10b2o$29bo5bo30bo5bo16bo3bo35b2o10b2o10bo$30bo3bo32bo3bo20b2o35bobo11b2o11bo$4bo9b2o15b3o9b2o23b3o9b2o49bo11b2o10b2o$5bo8bo2bo24bobo34bobo47bobo$4b2o9b3o23bo5bobo28bo5bobo42b2o$41b2obobob2o28b2obobob2o$4b2o9b3o23bo5bobo28bo5bobo42b2o$5bo8bo2bo24bobo34bobo47bobo$4bo9b2o15b3o9b2o23b3o9b2o49bo11b2o10b2o$30bo3bo32bo3bo20b2o35bobo11b2o11bo$29bo5bo30bo5bo16bo3bo35b2o10b2o10bo$bo14bo12bo36bo21bo4bo10b2o10b2o23b2o10b2o$3o12b3o11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$14bobobo12b2o35b2o22b2o37bo$obo11bobob2o72b2o36b3o35b2o$bo13b6o68b3o11b3o8b2o13bo3bo34bo$16bo2b3o31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$20b2o12bo11bo5bo5bo25bo2bo13bo5bo23b3o35b2o$33bobo9bobo4b2o5bob2o21bo16b2o3b2o33b3o$33bo2bo8bo2bo3b2ob4o2bobo26b3o8bobobobo32b2o2bo2bo$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bob2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b2ob3o3bo2bo30b4o$58b2ob2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$90b3o8bobobobo32b2o2bo2bo$84bo16b2o3b2o33b3o$84bo2bo13bo5bo23b3o35b2o$85b2o15bo3bo23b2o2bo33bo2bo$89b3o11b3o8b2o13bo3bo34bo$92b2o36b3o35b2o$92b2o37bo$88bo2b2o11b2o10b2o$88bo4bo10b2o10b2o23b2o10b2o$89bo3bo35b2o10b2o10bo$92b2o35bobo11b2o11bo$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/S234nbo$2b2o$obo$2o! 10c/27 x = 24, y = 27, rule = B3-cky8/S234n2bo$2o2$12b2o$11bo2bo$12bobo$13bo3$18b3o$17bo3bo$17b2o3bo$23bo$20bo2bo$23bo$17b2o3bo$17bo3bo$18b3o3$13bo$12bobo$11bo2bo$12b2o2$2o$2bo! c/5 diagonal x = 4, y = 4, rule = B3-cky4k/S23-c4cnb2o$o2bo$2bo$2o!

11c/37
x = 35, y = 8, rule = B34n5y/S2-k34ab3o16b3o$o2bo8b2o7b2o9bo$bo10b2o8b4obo4b2o$b3obo16bo2bo7b2o$b3obo16bo2bo7b2o$bo10b2o8b4obo4b2o$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/S122bo$2o!

4c/12
x = 4, y = 4, rule = B2i3-y6ci/S23-e4t2b2o$o2bo$o2bo$obo! c/30 diagonal x = 4, y = 4, rule = B38/S234wzb2o$o2bo$o2bo$bobo!

4c/14 diagonal
x = 15, y = 15, rule = B38/S234wz2o$2obo$5bo$bo$4bo$2bo3$8b3o$8bo2bo$8bobo3bo$9bo4bo$14bo$13bo$10b3o!

8c/183
x = 29, y = 5, rule = B2ei3aeiqr4-aiktz5aiqy6ac7c8/S12cin3i4cikwy5-ajr6ain7e26bo$4bo13bobo5bo$2ob3o11bo2bo4b4o$4bo13bobo5bo$26bo!

2c/14 diagonal
x = 3, y = 3, rule = B34n5y/S2-k34abo$2o$b2o!

8c/128 diagonal
x = 4, y = 4, rule = B36in/S234cw3o$3bo$o2bo$b2o! More coming soon! EDIT: 9c/56 diagonal x = 18, y = 14, rule = B2n3-ej4e6e/S234i13b2o$13b2o2$7bo$2b2o3bo$2b2obobo5b2o$4bo8bob2o$2b2o$16b2o$16bo$17bo$2obo$o2bo6b2o$b3o6b2o! 3c/10 x = 4, y = 5, rule = B3-y4e6ci/S2-i3-ceb3o$3bo$2b2o$2o$o! EDIT2: The 2c/8 is in a suboptimal phase. x = 3, y = 4, rule = B2-a3-i/S1e3bo$2bo2$obo! 2c/6 diagonal x = 6, y = 7, rule = B3-j/S0234-ro$b2o$b2o$bobo$2bo2bo$5bo$3b3o! 9c/18 x = 7, y = 8, rule = B2-ai3-in4w/S1c2aei3-ajo4bo$6bo$o4bo$bo$bo$o4bo$6bo$o4bo!

4c/10
x = 5, y = 5, rule = B3-q4n/S23-c2b2o$bob2o$o2bo$obo$bo!

18c/156
x = 18, y = 19, rule = B3-cky8/S23-c4n3b3o2$4b2o$4b2o$3bo2bo$4b2o5$o$b2o3$16b2o$15b2o$12bobo$12b3o$13bo! c/3 diagonal x = 3, y = 3, rule = B2-ai3-in4w/S1c2aei3-aj2bo$bo$obo! 4c/8 x = 7, y = 5, rule = B3-cqy6i/S23-aeky4ai5i3b2o$o4bo$o4b2o$o4bo$3b2o! 2c/16 x = 4, y = 3, rule = B3-j4nwz5c7/S1c2-ik34i5acbobo$o2bo$bobo! EDIT3: 16c/52 x = 26, y = 15, rule = B3-y6-a/S23-e3bo$2bobo$bo2bo$o2bo9bobo$bobo7b3obo$5b2o4b4o6bo2bo$5b2o4bo9bo3bo$4bo15bobo2bo$5b2o4bo9bo3bo$5b2o4b4o6bo2bo$bobo7b3obo$o2bo9bobo$bo2bo$2bobo$3bo! 8c/22 x = 15, y = 11, rule = B3-cky6ci/S23-ce4n7e812bo$7bobobobo$7bo2bo3bo$7bobobobo$12bo$3o$12bo$7bobobobo$7bo2bo3bo$7bobobobo$12bo! 8c/16 x = 6, y = 16, rule = B3-j/S234i2b3o$obo2bo$o4bo$2ob3o$2bo7$2bo$2ob3o$o4bo$obo2bo$2b3o!

c/25 diagonal
x = 6, y = 6, rule = B2-a3-ik4-aik/S233bo$4b2o$4b2o$o2bo$b2o$b2o! 17c/34 x = 14, y = 7, rule = B2e3-a4/S23-a4-a7e9bo$8b3obo$b2o5b2o3bo$2obo4b2o3bo$b2o5b2o3bo$8b3obo$9bo! 14c/28 x = 5, y = 13, rule = B34et/S23-a4eit6bo$2bo$3b2o$2o2bo$bo2bo$2b2o2$2b2o$bo2bo$2o2bo$3b2o$2bo$bo!

EDIT4:
6c/12
x = 6, y = 7, rule = B2ce3-a/S2o$bo$bo3bo$bob3o$bo3bo$bo$o!

10c/36
x = 38, y = 19, rule = B3/S2-k34k6c12b2o$12b2o$7b2o$9bo7bo10bo8bo$6bo2bo7bo10b2o6b2o$9bo7bo10bo8bo$o6b2o$o$o2$o$o$o6b2o$9bo7bo10bo8bo$6bo2bo7bo10b2o6b2o$9bo7bo10bo8bo$7b2o$12b2o$12b2o! 20c/72 x = 44, y = 13, rule = B3/S2-k34k6c34bo8bo$34b2o6b2o$34bo8bo2$18bo$18b2o$14bo25bobo$13b2o20bo4bobo$13b2o7b3o8b2o8bo$2o11b2o20bo4bobo$2o12bo25bobo$18b2o$18bo!

4c/11
x = 9, y = 13, rule = B34t6k/S2-i35a2bo$bobo$o$o4bo$b2o3bo$5bobo$8bo$5bobo$b2o3bo$o4bo$o$bobo$2bo!

16c/92 diagonal
x = 7, y = 4, rule = B34i5eiy/S234qy4bo$2bobo$2o3bo$4b3o! 18c/72 x = 46, y = 30, rule = B356/S2321b3ob3o2$2bo$bobo$o3bo11bo23b2o$o3bo10bo2bo21bob2o$bobo10bo3bo22bo2bo$2bo12b2obo14bo11bo$16bo14b4o6bo3bo$31bob3o7bo$31bo2b2o$32bobo$33bo5$33bo$32bobo$31bo2b2o$31bob3o7bo$16bo14b4o6bo3bo$2bo12b2obo14bo11bo$bobo10bo3bo22bo2bo$o3bo10bo2bo21bob2o$o3bo11bo23b2o$bobo$2bo2$21b3ob3o!

11c/22
x = 25, y = 15, rule = B3-ky/S23-aiy4anq6nbo2bo$5o14b3o$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-ck33b2o$33b2o$21bobo11bo$21bo2bo8b2o$33b2o$22b2o$11bobo7bo5b2o$2bo9b2o13b2o$2bo10bo8bo$2bo9b2o$o2bo7bobo$obo$bo5b2o20b2o$7b2o20b2o$2bo20b2o$23bobo9bo$23b3o9b2o$23bobo10bo$35b2o$35bo!

9c/50 diagonal
x = 23, y = 19, rule = B34-iqr7c/S23-a4i14bo$14bo$14bo3$b2o$o2bo$4bo11b2o$bo2bo10b2o4bo$2bobo10bo6bo$2b2o11b2o5bo$15bo6bo$15b2o4bo$16b2o3$7bo$7bo$7bo!

(3,4)c/20
x = 10, y = 8, rule = B3/S234w7cb3o3bo$2obo$2b2o$5bo$8b2o$9bo$7b2o$7bo! EDIT5: Ships from the oblique ships thread (plus the previous one) (5,16)c/74 x = 5, y = 4, rule = B3/S23-e4e2b2o$bob2o$o$2o!

(5,2)c/190
x = 22, y = 39, rule = B38/S23bo$obo$b2o7$18bo$17b2o2$18bo$16b2o4$20b2o$20b2o11$9bo$8b2o2$9bo$7b2o4$11b2o$11b2o!

(2,6)c/21
x = 16, y = 19, rule = B37/S2-i34q7b5o$6b2o2b2o$6bo2bo2b3o$6b2ob2ob2obo$6b2o2bo4bo$13b2o$11bobo$10bo5$3b3o$bo2bo$2bo5b2o$obo3bo3bob2o$obo9bobo$bo5b3obobo$12bo!

(3,1)c/13
x = 4, y = 5, rule = B2-ak3/S25aib3o$2b2o$3bo$obo$b2o!

(7,8)c/168
x = 7, y = 4, rule = B013568/S012obobo$2bo2b2o$2bo$4b2o! (5,7)c/330 x = 6, y = 11, rule = B015/S14o$o7$4b2o$4b2o$3bo! (3,2)c/23 x = 5, y = 6, rule = B345/S126o2$3bo$obobo$obo$ob3o! (2,3)c/10 x = 5, y = 3, rule = B2en3/S25678o2bo$bo2bo$3bo! (2,29)c/89 x = 126, y = 58, rule = B3-k4c/S2345b2o27bo$41bo3b2o27bo$41bo32bo$41bo$70b3o3b3o$2bobo$3ob2o68bo$2bo2b2o43bobo21bo$2b2obo44bo2bob2o17bo$3bobo46b2o2b2o$52b2obo$43bo31b2o$43bo6b2o23b2o$43bo5b3o$50b2o25bo25b3o$39b3o3b3o8b2o18b3o23bo$75b2ob2o22bo2bo$43bo30bo25b2ob2o3b3o$43bo55bo2bo5b2obo$43bo55bo2bo3bo4bo$101bobo2b2o3bo$74bobo25b3ob2o2bo$74b3o28bo3b2o7b2o$74b3o27bo4b2o7b2o$100b2o3b2o2b2o11b2o$100b2o4bo15bobo$123b3o$81bo41b2o$80bobo$38b2o40bobo$38b2o41bo$67b2o19bo13b2o$67b2o8b2o10b2o11bobo$77b2o9b2o14bo$102b3o$101bo$101bo5bo$108bo$106b3o7$101bo$100bobo$100b2o3bo$105b2o$92bo4bo4bo$91bo9bo5bo5bo$92bo14bo4b5o$94b2obobo3b3obo3bo5bo$94b2o5bobo6b3o2bob2o$100bo10b2o2bobo$97b2o13bo$113b3o$114bo!

(1,4)c/25
x = 6, y = 3, rule = B2e3/S2a36o$bo2bo$3b3o!

(2,15)c/35
x = 51, y = 25, rule = B3aijnq5ce/S23-y4ik5j5bobo11b2o$18bo2bo$6bo12b2o13b2o$23b2o8bo2bo$23b2o9b2o$38b2o$6bo31b2o5b2o$45bob2o$5bo39bobobo$17b2o30b2o$17bobo25b2ob2o$2bo16bo10bo12b2o3bo$4bo11bob2o23b5o$2ob2o11b2o27bo2$bo28bo$bobo3bo21b3o$2bo3bo21b2obob2o$3b2o26bo2bo7b2o$2bo2bo26b3o7bobo$2bo2bo6bo31b2o$2b3o7b3o26bob2o$14bo26b3o$2o10b3o$2o! (1,11)c/30 x = 15, y = 7, rule = B3/S23-c4w712bo$11bobo$b2o8bo2bo$2o12bo$o2bo8b3o$o2bo$bobo! (1,6)c/21 x = 5, y = 3, rule = B367/S023-a4i5io2b2o$b3o$2bo! x = 4, y = 2, rule = B3/S23ob2o$2obo!

(Check Gen 2)

toroidalet

Posts: 920
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### 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: 1664
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/S234t6c129b2o$129bobo$131bo11b2o10b2o$92b2o35bobo11b2o11bo$89bo3bo35b2o10b2o10bo$88bo4bo10b2o10b2o23b2o10b2o$88bo2b2o11b2o10b2o$92b2o37bo$92b2o36b3o35b2o$89b3o11b3o8b2o13bo3bo34bo$85b2o15bo3bo23b2o2bo33bo2bo$84bo2bo13bo5bo23b3o35b2o$84bo16b2o3b2o33b3o$90b3o8bobobobo32b2o2bo2bo$58b2ob2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b2ob3o3bo2bo30b4o$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bob2o26b2o6bo31bobo$33bo2bo8bo2bo3b2ob4o2bobo26b3o8bobobobo32b2o2bo2bo$33bobo9bobo4b2o5bob2o21bo16b2o3b2o33b3o$20b2o12bo11bo5bo5bo25bo2bo13bo5bo23b3o35b2o$16bo2b3o31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$bo13b6o68b3o11b3o8b2o13bo3bo34bo$obo11bobob2o72b2o36b3o35b2o$14bobobo12b2o35b2o22b2o37bo$3o12b3o11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$bo14bo12bo36bo21bo4bo10b2o10b2o23b2o10b2o$29bo5bo30bo5bo16bo3bo35b2o10b2o10bo$30bo3bo32bo3bo20b2o35bobo11b2o11bo$4bo9b2o15b3o9b2o23b3o9b2o49bo11b2o10b2o$5bo8bo2bo24bobo34bobo47bobo$4b2o9b3o23bo5bobo28bo5bobo42b2o$41b2obobob2o28b2obobob2o$4b2o9b3o23bo5bobo28bo5bobo42b2o$5bo8bo2bo24bobo34bobo47bobo$4bo9b2o15b3o9b2o23b3o9b2o49bo11b2o10b2o$30bo3bo32bo3bo20b2o35bobo11b2o11bo$29bo5bo30bo5bo16bo3bo35b2o10b2o10bo$bo14bo12bo36bo21bo4bo10b2o10b2o23b2o10b2o$3o12b3o11bo3b2o31bo3b2o16bo2b2o11b2o10b2o$14bobobo12b2o35b2o22b2o37bo$obo11bobob2o72b2o36b3o35b2o$bo13b6o68b3o11b3o8b2o13bo3bo34bo$16bo2b3o31bo4bo26b2o15bo3bo23b2o2bo33bo2bo$20b2o12bo11bo5bo5bo25bo2bo13bo5bo23b3o35b2o$33bobo9bobo4b2o5bob2o21bo16b2o3b2o33b3o$33bo2bo8bo2bo3b2ob4o2bobo26b3o8bobobobo32b2o2bo2bo$34b2o10b2o4b2obo6b2o18bo2bo3bo2bo17bob2o26b2o6bo31bobo$53bo4b6o5b3o10bo3bo2bo19b2o2bo23b2ob3o3bo2bo30b4o$58b2ob2o19bo2bo3bo2bo17bob2o26b2o6bo31bobo$90b3o8bobobobo32b2o2bo2bo$84bo16b2o3b2o33b3o$84bo2bo13bo5bo23b3o35b2o$85b2o15bo3bo23b2o2bo33bo2bo$89b3o11b3o8b2o13bo3bo34bo$92b2o36b3o35b2o$92b2o37bo$88bo2b2o11b2o10b2o$88bo4bo10b2o10b2o23b2o10b2o$89bo3bo35b2o10b2o10bo$92b2o35bobo11b2o11bo$131bo11b2o10b2o$129bobo$129b2o!

Smaller:
x = 68, y = 56, rule = B35ce/S234t6c14b2o10b2o10b2o$14b2o11bo10b2o$12b2o10bo11b2o$12b2o10b2o10b2o2$50b2o$18bo30bo2bo$17b2o30bo2bo$16bo32bo3bo$17b2obo29bo2bo$18b3o30b2o10b2o$62bo3bo$30b3o28bo5bo$29bo2b2o27bo5bo$28bo5bo26bo5bo$29bo2b2o28bo3bo$30b3o18b2o10b2o$50bo2bo$18b3o28bo3bo$17b2obo28bo2bo$16bo32bo2bo$17b2o31b2o$18bo4$39bobo$40b2o$40b2o$35bo5$16bo32bo$16b2o30b2o$17b3o27bo$18bobo27b2obo$49b3o$o27bo$27bo2bo30b3o$29b2o29bo2b2o$27bo2bo28bo5bo$o27bo31bo2b2o$61b3o$18bobo$17b3o29b3o$16b2o30b2obo$16bo30bo$48b2o$49bo2$10b2o10b2o10b2o$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: 457
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: 1664
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-aib2o$2bo$b2o$3o! (I hope I got that right, I've never discovered an oblique before) x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.

83bismuth38

Posts: 453
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-c72b3o$2bo2bo$bo2b2o$3bo$o2bo$2obo$3bo2$b2ob2o$3b2o!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic

Posts: 1056
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/s2ea3knj4yz5eayq6ea9.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/s2a3kqj4nqz5eyj899.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.A7.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.A2.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/s3r4i5kiny6n27.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.A3.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.A28.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.A3.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 12486 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: 534
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: 1664
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/S2aein3inr4ai5ibo$o$2bo!

c/12 diagonal
x = 4, y = 4, rule = B2cek3acijr5c6cik/S2-ck3inr3bo2$3bo$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-en2obo!

6k1c88_ec23 (yes, it's a bit awkward.)
x = 4, y = 4, rule = B2in3/S2-in3-jr4ajr3bo$ob2o$2o$2o! 2k3c30_2li x = 3, y = 5, rule = B2e3-cey/S1c2ace3ajnrbo$obo$bo2$b2o!

1k7c71_699azwccw4aa4
x = 10, y = 9, rule = B3/S2-n34z6cb2o$o2bo$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/S02ack3inobo$2bo$b2o!

EDIT2:
d4c14_28092
x = 5, y = 4, rule = B2-ai/S02i3j3bo$o3bo2$bobo!

Can someone help? I'm running out of steam (ships) here!
EDIT3:
o6c12_44y1ewh4
x = 12, y = 5, rule = B2ikn3ainqy4int5r67/S010bo$7bo$2o5bo3bo$7bo$10bo!

dc8_215
x = 3, y = 3, rule = B2-ae3-i4e/S02b2o$o$2bo!
x = 4, y = 2, rule = B3/S23ob2o$2obo! (Check Gen 2) toroidalet Posts: 920 Joined: August 7th, 2016, 1:48 pm Location: my computer ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project bumped also d8c28_o88f1t4z103111 x = 7, y = 7, rule = B2ek3ai6a/S2-i3-a4eijktz3b3o$3bo$3bob2o$4obo$o4bo$ob4o$2bo! d5c28_31ck8 x = 5, y = 5, rule = B2ek3ai6a/S2-i3-a4eijktz2o$o$2b2o$2bobo$3bo! d12c42_o88f1i8z010211 x = 7, y = 7, rule = B2ek3ai6i/S2-i3-a4eijkt3b2o$3bobo$3bo$4o2bo$o4bo$bo2b2o$3bo! d18c63_7d72zy15kngeqzy210111 x = 11, y = 11, rule = B2ek3ai/S2-i3-a4ijk3o$ob2o$3o$bo2$5bobo$7bob2o$5b3obo$9b2o$6b3obo$6bob3o!

EDIT:d2c14_1w5
x = 4, y = 3, rule = B2cek3k4c5y/S02i3jo2bo2$3bo! 3k17c41_33033z0gggy9gggz1443y81443 x = 20, y = 13, rule = B3-ej4e/S234i2ob2o$2ob2o8$b3o13b3o$o2bo12bo2bo$3bo15bo$b2o14b2o!
Last edited by toroidalet on June 21st, 2017, 3:50 pm, edited 1 time in total.
x = 4, y = 2, rule = B3/S23ob2o$2obo! (Check Gen 2) toroidalet Posts: 920 Joined: August 7th, 2016, 1:48 pm Location: my computer ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project A lot of strange speeds that I have found 6c/66 orthogonal: x = 4, y = 5, rule = B2-ac3-jnqr67e8/S1c23-akny4obo$obo$obo$o2bo$o! 3c/25 diagonal: x = 3, y = 3, rule = B34eqyz5/S233o$o$o! c/2 diagonal: x = 5, y = 5, rule = B2a3an4i5r/S2ae3a4a2b3o$bo$o$o2b2o$o2bo! c/64 orthogonal: x = 5, y = 5, rule = B2-ac3-jnqr/S1c23-akny42o$b4o$4bo$b4o$2o! Smaller 3c/10 diagonal: x = 4, y = 6, rule = B2-ac3-jnqr/S1c23-akny4b2o$2bo$2b2o$obo$obo$3o!

3c/212 diagonal:
x = 6, y = 11, rule = B2-ac3-jnqr/S1c23-akny44bo$3b3o$3bobo$3bo$3b2o$bo$2b4o$b2ob2o$4bo$o3bo$3o!

Smaller 3c/10 orthogonal:
x = 2, y = 8, rule = B2en3-ckqy5akqy68/S12ei3an578bo$o2$bo$bo2$o$bo! 2c/46 diagonal: x = 5, y = 5, rule = B2en3-ckqy5akqy68/S12ei3an578obo$bo2$3b2o$3b2o!

4c/14 orthogonal:
x = 6, y = 6, rule = B2n34ckqz/S23bo$o3bo$bo3bo$3bobo$2bo2bo$3bobo! 2c/18 diagonal: x = 5, y = 3, rule = B34eqyz5-k/S23ob3o$ob2o$2bo! Smaller c/16 diagonal: x = 3, y = 4, rule = B2ek3-ajny4aw/S02-ei3n4aqo2$2bo$o! 16c/38 orthogonal based repship: x = 48, y = 15, rule = B2i34cejqwyz/S2314bo$12b4o$10b2o$11b2o17bo$29bobo11bo$28bo2bo10b2ob2o$b2o14b2o8b5o3b2o6bo3bo$o2bo13b2o7b3o7bo6bo3bo$b2o14b2o8b5o3b2o6bo3bo$28bo2bo10b2ob2o$29bobo11bo$11b2o17bo$10b2o$12b4o$14bo! (2,1)c/105: x = 4, y = 7, rule = B2n34cqz5ckny/S233o$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/S032bo2$o2bo2$2bo!

26c/60 orthogonal:
x = 132, y = 22, rule = B38/S0245679b3o$29bobo45bob3o$28b2obo19bobo23bo17b2o18bo$28bo2bo16b3ob3o20b2o17bobo8bo13b3o6bo$16bo12b2o18bo2b2o21bo2b2o10bo4b2o7b3o3bo6b3ob3o4bobo$6bo7b3o4bo7b2o9b3o5bob2obo12b3o5bo6b2o7b2ob2obo6bo3bobobo5bobo4bo4b3o$5bo9b2o23b3o4b3o4b2o10b3o5bo6b2o7b2ob2obo6bo3bobobo5bobo4bo4b3o$8bo8bo3bo9bo17b2o2b3o2bo16bo2b2o10bo4b2o7b3o3bo6b3ob3o4bobo$6b3o39b4o3b3obo15b2o17bobo8bo13b3o6bo$7b2o19b2o18bo2b6obo18bo17b2o18bo$bo46b3ob3o22bob3o$obo24bobo21bobo2bo22b3o3bo22bo$bo2bobo21bobobo2bo13bob2o3b3o26bo18bo4b2o$2b3obo19bo2b2ob3o14b4ob2o2bo6b2o13bo3bo24bobo4b2o$3bo2bo14bobo2bob6obobo12bobo4b2o6b4obo9bo5bob2o4bo4bo7bo5b2o3bo$2b2o18bobo3bob2o5bo11bo5bo13bobo8b5o7b2ob2obobo4b3o3b2o5b2o$b3o16bo3bo4bobo4bo13bo2bo14bobo9b5o7b2ob2obobo4b3o3b2o5b2o$2b2o18bo4b2obobobo16bob2o10bo2bo11bo5bob2o4bo4bo7bo5b2o3bo$29bob4o17b3o13b2o14bo24bobo4b2o$30bobo20bo13bobo15bo18bo4b2o$66b3o16bo22bo$66bobobo! Same pop and smaller bounding box for 3c/7: x = 4, y = 5, rule = B34/S125672bo$3bo$o2bo$3bo$2bo! 11c/38 orthogonal: x = 12, y = 15, rule = B3/S23789bo$8bobo$7b2ob2o$3o5bo2bo$o8b2o$o4$o$o8b2o$3o5bo2bo$7b2ob2o$8bobo$9bo!

2c/9 orthogonal:
x = 3, y = 7, rule = B3/S246o$bo$2bo$2bo$2bo$bo$o!

4c/30 orthogonal:
x = 3, y = 5, rule = B346/S013o$bo2$2bo$2o! 2c/19 orthogonal: x = 5, y = 5, rule = B347/S02567bobo$o$2b3o$bo$3bo! 2c/25 orthogonal: x = 5, y = 16, rule = B36/S2372o$2o4$2b2o$bo2bo$bo2bo$bo2bo$bo2bo$2b2o4$2o$2o!

2c/26 orthogonal:
x = 5, y = 4, rule = B34/S025674bo$3b2o$3o$bobo! 2c/27 orthogonal: x = 6, y = 9, rule = B347/S0372bo$o$4bo$o$obo2bo$o$4bo$o$2bo! 2c/31 orthogonal: x = 3, y = 10, rule = B36/S0135672bo$o$bo$2o$bo$bo$2o$bo$o$2bo!

c/18 orthogonal:
x = 6, y = 9, rule = B3567/S01455bo$2bo$3bo2$o2b2o2$3bo$2bo$5bo!

2c/35 orthogonal:
x = 8, y = 10, rule = B346/S045785bo$3b2o$4b2o$o3b2o$obo2b3o$obo2b3o$o3b2o$4b2o$3b2o$5bo! 2c/43 orthogonal: x = 5, y = 9, rule = B346/S14682o$2bo$2bo$2bobo$obobo$2bobo$2bo$2bo$2o! 2c/15 diagonal: x = 7, y = 7, rule = B347/S2473b2o$5bo$6bo$o3b2o$o2b3o$bob2o$2bo! 2c/21 diagonal: x = 9, y = 9, rule = B3567/S13576bo$5bo$6b2o$7bo$8bo$bo4bo$obo2bo2bo$2b2o$4bobo! 2c/25 diagonal: x = 5, y = 5, rule = B34/S02562b2o$b2o$2obo$obobo$3bo! smaller c/14 diagonal: x = 4, y = 3, rule = B3/S01243bo$3bo$2o! Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 905 Joined: July 1st, 2016, 3:58 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project dc2_e1d5 x = 4, y = 4, rule = B2a3a4i/S2ae3ab3o$o$ob2o$obo!

o4c8_1w1011
x = 7, y = 1, rule = B2ac3nr4ci5y/S0o2bob2o!

d4c8_80gps
x = 5, y = 5, rule = B2a3acr4ai/S2ae3a3bo2$4bo$o2b2o$2b3o! d8c16_xg1024z12036062 x = 8, y = 8, rule = B2ae3acr4ai/S2ae3a4bo$6bo$7bo2$3bo$o2bo$bob2ob2o$4bobo! x = 4, y = 2, rule = B3/S23ob2o$2obo!

(Check Gen 2)

toroidalet

Posts: 920
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### 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/S2359b2o$59b2o7$67b2o$67b2o4$56bo$55b3o$55bob2o$54b2o$54b2o$54b2o$58bo13bo$57b2o10b2o$55bobo11b2ob2o$54bo2bo13bo$55b2o12b2o2$56bo13b2o$56bo$46b2ob2o5bo16bo$46bo2bo20bobo$48b2o21bo2b2o$47bo$46bobo4$48b4o$48bo10$27b2o2bo$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/S23816$15bo$14bobo$14bobo$16bo$14bo$13b3o4b3o$19bob2o$19bobob2o$19bob2o$13b3o4b3o$14bo$16bo$14bobo$14bobo$15bo!

x = 8, y = 8, rule = B3457/S4563b4o$b6o$b7o$5obo$4ob3o$3ob3o$7o$2bobo! Also, some soups that emit velocities that don't appear to be documented yet: x = 16, y = 16, rule = B2i3ai4/S23bboboooooobobbbb$obooobbboboobbbb$obobbboobboobobb$bobbooobboooobob$obbbobbbbbbooobo$bbooobobbbbobobb$boobbbbobbboboob$boobboboboooobbo$bbooobobbobboboo$bobboboboooobbob$boboboboboboobbo$oboooooooobooobo$booboooooboooooo$bbbooboboboooboo$boboobbbboobbbbb$obobboobbbbbbobb!

x = 16, y = 16, rule = B3678/S35678ooobobobbbboobob$bboobboboooobbbb$bobbboobbooboooo$oboobbbbbbbbobbb$bbobboobbobbobbo$booooooboooboobb$bbobbbbooooobobb$bbooooobbooobboo$obbobbooboobbbbb$ooobbbbbbooboobo$bobboboobbobobbo$obbbbbbbboooobbo$bbbooooooooboboo$bbboobbobobbbooo$obobooooboboobbo$boobobboobbbbooo! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3249 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project I am just trying to fill in the gaps in the list, so these are probably not optimal, unfortunately a lot of my minimum size ships for totalistic rules are B0 rules. Do you want to see the list, drc? C/21 diagonal: x = 10, y = 10, rule = B345/S055bobobo$bo3bo$5bo3bo$5bo3bo$5bo3bo$6o$7bobo$o5b2o2$ob3obo! C/23 diagonal: x = 4, y = 4, rule = B3567/S024672o$o2bo2$bo! C/24 diagonal: x = 6, y = 3, rule = B36/S013562bo2bo$4obo$4bo! C/27 diagonal: x = 8, y = 8, rule = B356/S134bob2o$3b2o$5bo$bo$2o$2bo$o$o!

C/29 diagonal:
x = 11, y = 11, rule = B3678/S13489b2o$9b2o2$6bobo$6bo$7bo$3b2o2bo$5b3o$3bo$2o$2o! Smaller c/30 diagonal: x = 4, y = 3, rule = B3567/S1256ob2o$o2bo$bobo! c/33 diagonal: x = 17, y = 17, rule = B36/S0356783bo$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/S01352bo$2bobo$4o$3bobo!

c/37 diagonal:
x = 12, y = 12, rule = B345/S056bo$11bo$4b2ob3obo$11bo$2bo5b4o$2bo$o6b4o$2bo3b2o$2bobobo$2bobobo$4bobo$b4o! c/38 diagonal: x = 4, y = 5, rule = B345/S0145b2o$3o$2bo$obo$3bo! c/45 diagonal: x = 8, y = 8, rule = B37/S0145674bo$2b2o$b5o$b6o$ob2ob2o$2b5o$3b5o$6bo!

2c/112 diagonal:
x = 6, y = 4, rule = B34/S0145obo$o$b2obo$2o3bo! c/59 diagonal: x = 8, y = 8, rule = B34/S01564bo$3bo$6bo$bo$o5b2o2$2bobobo$4bo! c/62 diagonal: x = 7, y = 7, rule = B345/S0457bobo$5bo$b2ob2o$o5bo$2bo$b2o2b2o$3bobo! c/86 diagonal: x = 7, y = 6, rule = B346/S01574bo$3o$o5bo$6bo$obo$4bo!

c/93 diagonal:
x = 7, y = 7, rule = B36/S24562bo2bo$2bob2o$7o$2bo$b2o$3o$2bo!

c/116 diagonal:
x = 6, y = 6, rule = B346/S014582bobo$bob2o$bo2b2o$2bob2o$o2bo$bo! c/118 diagonal: x = 8, y = 8, rule = B347/S3562bo2bo$b2obo$5ob2o$2bobobo$b3o2bo$o$2b3o$2bo!

EDIT 1:

12c/50 orthogonal:
x = 6, y = 8, rule = B2-ac3-jnqr/S1c23-akn43o$o2$4b2o$3ob2o$obobo$obobo$2b3o!

Better c/7 orthogonal:
x = 2, y = 5, rule = B345/S016o2$2o2$o!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 905
Joined: July 1st, 2016, 3:58 pm

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

C/2 diagonal:
x = 3, y = 4, rule = B2ac/S12bo2$b2o$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: 1732
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/S0145o7bo$4bo$2bobobo$bo5bo2$4bo!!

c/21:
x = 5, y = 8, rule = B36/S0135bobo$2bo$2bo$bobo$bobo$o3bo2$2bo!

c/22:
x = 8, y = 6, rule = B3567/S1367b2o2b2o$obo2bobo$2bo2bo3$3b2o! c/24: x = 7, y = 12, rule = B2e3ai4arw5678/S3-an4ar5i6783bo$bobobo$2b3o$7o$b5o$7o$7o$2b3o$bobobo$2b3o$3bo$3bo!

c/29:
= 7, y = 4, rule = B345/S04782b3o$ob3obo$b5o$o5bo! c/30: x = 9, y = 5, rule = B346/S3578bo5bo$b2obob2o$3o3b3o$4bo$bo5bo! c/44: x = 7, y = 8, rule = B34568/S4582b3o$2obob2o2$o5bo$7o$7o$bobobo$bobobo! c/64: x = 5, y = 5, rule = B2-ac3-jnqr/S1c23-akny4b3o$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/S456bobobo$2b4o$2ob2o2bo$4obobo$2ob3o$8o$2b4o$b3obo!

c/5648: (this one even more so)
x = 12, y = 14, rule = B3457/S45685b2o$3bo4bo$3b2o2b2o$b3o4b3o$b3o4b3o$2ob6ob2o$3ob4ob3o$ob3o2b3obo$2ob6ob2o$obobo2bobobo$2b2ob2ob2o$2b8o$4b4o$4bo2bo! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3249 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project The c/64 is only in this thread, found by me, so it is already been posted, I am not sure why it ended up in your post. Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 905 Joined: July 1st, 2016, 3:58 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project I have added all of the discoveries, apologies for the wait. The only ship I contributed is this dc28: x = 4, y = 5, rule = B3-n4c8/S2-i34-ar6ci2o$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: 1664 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/S1247obo$2bo$o2bo$2bo$obo! c/23 orthogonal: x = 4, y = 7, rule = B3/S0145678bo$bo2$2obo2$bo$bo! c/26 orthogonal: x = 7, y = 6, rule = B3457/S045782bobo$4ob2o$o5bo$o5bo$4ob2o$2bobo!

EDIT 1: 3c/30 diagonal
x = 5, y = 5, rule = B3-q4nrt5nr6i/S2-c3-q4r5cejno2bo$4bo$2o$bobo$2b3o!

EDIT 2: 13c/512 diagonal
x = 26, y = 27, rule = B2-ac3-jnqr5y67e8/S1c23-akny4o2bo$o2bo$4o$b2o13$18bo$8bobo5bob3o$10bo5bo3bo$7bo8b2o2bo$7b3o2bo4bobo2b2o$5b2ob3ob2o4bo3bo$8bo9b5ob2o$7bobobo13bo$25bo$19bo4bo$21b2o!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 905
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/S01e2ac3ir3o$bobo$obo!

Can anyone find a real one?
EDIT: 2c/3 orthogonal:
x = 3, y = 2, rule = B2ac3ae4t5e/S1c2i3ibo$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: 1732 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: - Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules) - Find a C/10 in JustFriends - Find a C/10 in Day and Night AforAmpere Posts: 905 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: 1732 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/S1e2i3o2$2bo!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

Posts: 905
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: 1732
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

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