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

For discussion of other cellular automata.
AforAmpere
Posts: 1230
Joined: July 1st, 2016, 3:58 pm

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

LaundryPizza03 wrote:
April 23rd, 2021, 2:48 pm
Would anyone like to continue from here or try wildmyron's 9c/10o (OP)?
Funnily enough, I've been working on that for the last few days. Here's a really close call:

Code: Select all

``````x = 19, y = 6, rule = B2ac3anr4aqrwz5eky6ci7c8/S12i3aejk4jknwyz5acknr6-n7c
2b2obobobobobob2o\$3o2bo7bo2b3o\$b4o9b4o\$3o4bo3bo4b3o\$3bo4b3o4bo\$2bobobo
5bobobo!``````
ikpx2 is probably the best to look for extensions, but I've tried on wildmyron's original, and many of the partials I've got in different rules without success.
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

wwei47
Posts: 646
Joined: February 18th, 2021, 11:18 am

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

AforAmpere wrote:
April 23rd, 2021, 9:45 pm
Funnily enough, I've been working on that for the last few days. Here's a really close call:
Hold on. If we get this right, we might be able to get high-period 9c/10 as well. That's a stable engine you've got there. Ask iNoMed, I guess?
EDIT: That engine is incredibly robust, but I can't seem to put junk behind it to stabilize it.

Code: Select all

``````x = 19, y = 17, rule = Symbiosis
11.A\$9.2A.A\$3.A\$2.3A3.A6.A\$.A2.A3.2A5.A\$A7.A.3A2.2A\$A.3A4.A.4A.3A\$.2A
2.B3.A4.A\$B.B8.2A\$13.A\$12.2A\$7.B3.2A4.2B\$8.2A.A5.A\$10.A3.A\$9.2AB.B\$8.
A2.2B4.B\$8.B9.A!
``````

AforAmpere
Posts: 1230
Joined: July 1st, 2016, 3:58 pm

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

wwei47 wrote:
April 23rd, 2021, 9:56 pm
Hold on. If we get this right, we might be able to get high-period 9c/10 as well. That's a stable engine you've got there. Ask iNoMed, I guess?
EDIT: That engine is incredibly robust, but I can't seem to put junk behind it to stabilize it.
As I said, I tried ikpx2 on it, up to a pretty high width, and it devolves into pointless extensions. I don't think it's stabilizable in that rule, or in any that I've found. The amount of stuff it produces behind it makes it unlikely that it can be stabilized. I'm trying to find better ones.
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

wwei47
Posts: 646
Joined: February 18th, 2021, 11:18 am

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

AforAmpere wrote:
April 25th, 2021, 10:55 pm
As I said, I tried ikpx2 on it, up to a pretty high width, and it devolves into pointless extensions. I don't think it's stabilizable in that rule, or in any that I've found. The amount of stuff it produces behind it makes it unlikely that it can be stabilized. I'm trying to find better ones.
1. Can I see one of those pointless extensions?
2. Is there any way that I can help with the 9c/10 search?
EDIT: Finding (n-1)c/n frontends is equivalent to finding diehards in W104! Look! This is exactly what the frontends of the 6c/7, 7c/8, 8c/9, and almost 9c/10 do!

Code: Select all

``````x = 75, y = 1, rule = W104
3ob3ob3o9bob3ob3ob3obo5b3ob3ob3ob3o5b2obobobobobob2o!
``````
Edit 2: 10c/11 frontend?

Code: Select all

``````x = 17, y = 11, rule = W104
ob2obobobobobob2o\$b4obobobobob3o\$bo2b2obobobob2obo\$4b3obobob4o\$4bob2ob
ob2o2bo\$5b4ob3o\$5bo2b3obo\$8bob2o\$9b3o\$9bobo\$10bo!
``````

Code: Select all

``````x = 19, y = 17, rule = Symbiosis
11.A\$9.2A.A\$3.A\$2.3A3.A6.A\$.A2.A3.2A5.A\$A7.A.3A2.2A\$A.3A4.A.4A.3A\$.2A
2.B3.A4.A\$B.B8.2A\$13.A\$12.2A\$7.B3.2A4.2B\$8.2A.A5.A\$10.A3.A\$9.2AB.B\$8.
A2.2B4.B\$8.B9.A!
``````

Cyclotrons
Posts: 27
Joined: January 26th, 2021, 12:19 am

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

(11,6)c/79; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4w5aijkr6ci7e8/S2a3-cnqr4ajkrt5ce6a8
bo\$o\$3bo\$bo!
``````
I wrote random rule generators for 3-State Outer-Totalistic rules and for 2-State Isotropic Non-Totalistic rules!

I created a notation for the 3-State Isotropic Non-Totalistic rulespace and wrote a generator for it!

Cyclotrons
Posts: 27
Joined: January 26th, 2021, 12:19 am

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

New speed:

(41,35)c/186; 9 cells

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4c5q6cn7c8/S2aei3-ac4-eknqt5acnr6cek
b3o\$3bo\$4o\$o!
``````

Improvements:

25c/96d; 7 cells (improvement from 9 cells)

Code: Select all

``````x = 4, y = 3, rule = B3-enqy4ce5cq6c8/S2-ck3-ac4-ekqty5aeknr6eik7c
obo\$4o\$2bo!
``````
23c/206d; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4w5aijkr6ace7e8/S2a3aeijk4ajkrty5cek6aei7c8
2bo2\$o2bo\$bo!
``````
21c/186d; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4c5ijk6ac7e8/S2an3-nqry4ajkrty5cek6ain7c
2bo2\$o2bo\$bo!
``````
(13,3)c/162; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4w5ijkr6-in7e8/S2an3-nqr4ajkrty5cek6an7c8
bo\$o2bo2\$2bo!
``````
(20,11)c/147; 4 cells (improvement from 6 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4cw5aijk6-in7e8/S2an3-cnqr4ajkrtyz5cek6ain7c
2bo2\$o2bo\$bo!
``````
17c/436d; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4cew5ijkr6ce7e/S2a3-nqr4ajkrtyz5ce6a7
bo\$o2bo2\$2bo!
``````
(10,3)c/150; 5 cells (improvement from 7 cells)

Code: Select all

``````x = 4, y = 5, rule = B2eik3-ejry4cew5ijkr6ace7e8/S2a3-nqr4ajkrtyz5cek6ae7c
bo\$bo\$3bo\$o\$bo!
``````
(9,8)c/117; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4ew5aijky6ace8/S2an3-nqry4ajrtyz5ce6an7
bo\$o2bo2\$2bo!
``````
(12,6)c/156; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4cew5ijkry6ci/S2a3aeijk4ajkrty5cek6an7
2bo2\$o2bo\$bo!
``````
21c/244d; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry4cew5-cenq6cik8/S2a3-nqry4ajkrty5cek6-ck7e8
2bo2\$o2bo\$bo!
``````
18c/262d; 4 cells (improvement from 5 cells)

Code: Select all

``````x = 4, y = 4, rule = B2eik3-ejry5ijky6ack8/S2an3-cnqr4ajkrt5cek6a7c8
2bo2\$o2bo\$bo!
``````
I wrote random rule generators for 3-State Outer-Totalistic rules and for 2-State Isotropic Non-Totalistic rules!

I created a notation for the 3-State Isotropic Non-Totalistic rulespace and wrote a generator for it!

Cyclotrons
Posts: 27
Joined: January 26th, 2021, 12:19 am

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

New speeds:

(17,16)c/60; 9 cells

Code: Select all

``````x = 4, y = 4, rule = B3-nqy5cq6c/S2-ck3-acy4-kqy5cekn6aek7c
2b2o\$obo\$obo\$3o!
``````
(20,19)c/65; 7 cells

Code: Select all

``````x = 4, y = 3, rule = B3-enqy4ce5c8/S2-kn3-acy4-cekqy5en6-n
2b2o\$obo\$3o!
``````
(14,13)c/49; 8 cells

Code: Select all

``````x = 7, y = 6, rule = B3-enqy5cq6cn8/S2-kn3-ac4-ckqty5acn6-en7e
o2\$5b2o\$6bo\$4b3o\$4bo!
``````
(28,18)c/89; 7 cells

Code: Select all

``````x = 4, y = 3, rule = B3-enqy4ce6n8/S2-k3-acy4-ckqy5n6aek7c
2b2o\$obo\$3o!
``````
55c/204d; 8 cells

Code: Select all

``````x = 4, y = 5, rule = B3-nqy4ej5cq6c8/S2aei3-ac4-ekqy5acekn6aik7e
2b2o\$o2bo\$ob2o2\$o!
``````
40c/152d; 8 cells

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cj5q6c8/S2aei3-acy4-cknq5an6ack7e
2b2o\$3bo\$b3o\$2o!
``````
(22,21)c/81; 8 cells

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4j5q6cn/S2-ck3-acy4-cknq5an6ack7e
3bo\$2b2o\$obo\$3o!
``````
58c/212d; 8 cells

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cej5q6cn8/S2-ck3-acy4-cknq5aekn6-in7e
2b2o\$3bo\$b3o\$2o!
``````
(17,16)c/55; 7 cells

Code: Select all

``````x = 4, y = 3, rule = B3-enqy4cj/S2-kn3-acy4aijnrwz5cn6ak
2b2o\$obo\$3o!
``````
(36,35)c/160; 9 cells

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cejr6c/S2aei3-acy4-ckq5n6ak7
o\$4o\$3bo\$b3o!
``````
(52,40)c/344; 8 cells

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4jr5cq6cn/S2-k3-ac4-cknqy5cekn6-en7c8
b2o\$2o\$b3o\$3bo!
``````
Improvements:

(21,1)c/91; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5aejky6ikn7c8/S2ack3ajknq4ajrwyz5cjk6aek7e
o2bo\$bo2bo\$3bo!
``````
(11,8)c/158; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cinq6n7/S2ack3ajknq4-einqt5cjnr6-n7e
o2bo\$bo2bo\$3bo!
``````
(21,1)c/121; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6n8/S2ack3ajnq4ajrwyz5cr6-in7c8
o2bo\$bo2bo\$3bo!
``````
(15,7)c/141; 5 cells (form 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceik5-cnqr6en7e/S2ack3ajknq4-inqt5cjn6aek7c8
o2bo\$bo2bo\$3bo!
``````
(19,3)c/108; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6n7e/S2ack3ajknq4acjrwyz5cjkr6-in7c
o2bo\$bo2bo\$3bo!
``````
(11,8)c/212; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceiky5-cnqr6n78/S2ack3ajknq4aejrwyz5cjknr6aek7e
o2bo\$bo2bo\$3bo!
``````
(17,3)c/190; 5 cells (from 7)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceik5-cnq6ein7c/S2ack3ajnq4aejrwyz5cjnr6aek7c8
o2bo\$bo2bo\$3bo!
``````
(14,4)c/114; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnq6ikn7c8/S2ack3ajnq4-einqt5cjkr6-n7c8
o2bo\$bo2bo\$3bo!
``````
(29,4)c/106; 5 cells (from 9)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6en7e/S2ack3ajknq4-cenqt5cjn6aek7e
3bo\$bo2bo\$o2bo!
``````
(22,4)c/168; 5 cells (from 7)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6ein7e8/S2ack3ajknq4-cenqt5cjk6aek
o2bo\$bo2bo\$3bo!
``````
(11,4)c/180; 5 cells (from 6)

Code: Select all

``````x = 3, y = 5, rule = B2eik3eir4ceikty5-cnqy6en7c/S2ack3ajnq4-eknqt5cjkr6-cn7
o\$bo2\$obo\$bo!
``````
(15,2)c/358; 5 cells (from 7)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6-ac8/S2ack3ajnq4-eknqt5cjkn6-n8
3bo\$bo2bo\$o2bo!
``````
(13,5)c/171; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikty5-cnq6ikn7/S2ack3ajknq4-cnqt5ck6aek7
o2bo\$bo2bo\$3bo!
``````
(23,1)c/257; 5 cells (from 8)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceik5aejkr6-ck7e/S2ack3ajknq4-iknqt5cikr6-in7c
o2bo\$bo2bo\$3bo!
``````
(23,3)c/99; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceik5aejkr6aen7c8/S2ack3ajknq4aejrwyz5cj6aek7
3bo\$bo2bo\$o2bo!
``````
(8,7)c/270; 5 cells (from 7)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cinq6-c7/S2ack3ajnq4-inqt5cj6-n8
o2bo\$bo2bo\$3bo!
``````
(10,6)c/93; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5aeijk6-ce7c/S2ack3ajnq4aejrwyz5cjnr6aek78
o2bo\$bo2bo\$3bo!
``````
(16,1)c/119; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5aeijk6-ce7/S2ack3ajknq4-einqt5cijr6-in8
3bo\$bo2bo\$o2bo!
``````
(9,4)c/276; 5 cells (from 8)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6an78/S2ack3ajnq4ajkrwyz5ckr6-in7
3bo\$bo2bo\$o2bo!
``````
(11,9)c/206; 5 cells (from 7)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5-cnqr6-c78/S2ack3ajknq4-cinqt5cjn6aek7
o2bo\$bo2bo\$3bo!
``````
(7,2)c/205; 5 cells (from 6)

Code: Select all

``````x = 5, y = 3, rule = B2eik3eir4ceikt5aeijk6-ck78/S2ack3ajknq4-einqt5cjr6-cn78
o2bo\$bo2bo\$3bo!
``````
(19,4)c/126; 7 cells (from 8)

Code: Select all

``````x = 3, y = 4, rule = B2i3aijry4acnqtwz5cijkn6a8/S2-i3ejnry4aejtwz5cj6e7
3o\$2bo\$2bo\$b2o!
``````
(19,9)c/117; 7 cells (from 8)

Code: Select all

``````x = 3, y = 4, rule = B2i3aijr4ajnqtwz5ceijn6n7c/S2-in3-ackq4acjkwz5cjy6cei7e8
b2o\$2bo\$2bo\$3o!
``````
(17,1)c/175; 7 cells (from 8)

Code: Select all

``````x = 3, y = 4, rule = B2i3aijr4ajnqtw5-aery6c7c8/S2-in3-ackq4aewz5j6ce7c
b2o\$2bo\$2bo\$3o!
``````
(18,1)c/196; 7 cells (from 8)

Code: Select all

``````x = 3, y = 4, rule = B2i3aijry4ajnqtw5-akry7c8/S2-in3-aciq4aejnwz5jy8
3o\$2bo\$2bo\$b2o!
``````
(21,11)c/159; 5 cells (from 6)

Code: Select all

``````x = 3, y = 4, rule = B3aeijr4cenyz5cejny6n7c8/S2-n3-cnqy4aiqt6-ek
bo\$2bo\$2o\$bo!
``````
(13,7)c/49; 5 cells (from 6)

Code: Select all

``````x = 3, y = 4, rule = B3aijkn4cekt5-eknq6-n7/S2aek3-kqy4cijty5acij6c8
bo\$2o\$bo\$2bo!
``````
(16,15)c/160; 7 cells (from 13)

Code: Select all

``````x = 4, y = 5, rule = B3aijkn4ck5-ekn6-n7/S2aek3-kq4eijkt5acij6ce7e
bo2\$3bo\$2b2o\$2obo!
``````
(3,1)c/349; 7 cells (from 8)

Code: Select all

``````x = 5, y = 4, rule = B3aijnq4ck5-aekn6-n/S2aek3-kq4cijkty5acij6cei8
o\$o3bo\$bo\$3o!
``````
(7,3)c/275; 7 cells (from 15)

Code: Select all

``````x = 5, y = 4, rule = B3-cery4cekt5-aen6-in/S2aek3-kqy4eijkt5acij6ck8
2b3o\$3bo\$o3bo\$4bo!
``````
(16,3)c/172; 6 cells (from 7)

Code: Select all

``````x = 4, y = 4, rule = B3-cekr4cet5-enq6ack7/S2-ci3-kqy4ijty5acijk6e7e
3bo\$2bo\$obo\$2o!
``````
(6,5)c/340; 7 cells (from 8)

Code: Select all

``````x = 4, y = 5, rule = B3-cekr4cek5-eknq6-in7c/S2-ci3-kqy4ceijty5acijk6ci8
2obo\$2b2o\$3bo2\$bo!
``````
(8,7)c/156; 5 cells (from 7)

Code: Select all

``````x = 4, y = 3, rule = B3aijnq4ck5-aekn6-in7/S2aek3-kq4cijkty5acijk6c7e8
3bo\$3o\$bo!
``````
(16,6)c/178; 7 cells (from 8)

Code: Select all

``````x = 4, y = 5, rule = B3aijnq4ckt5acjry6-en7c/S2aek3-kqy4ceijqty5acij6cek7e8
bo2\$3bo\$2b2o\$2obo!
``````
(14,9)c/144; 6 cells (from 7)

Code: Select all

``````x = 4, y = 3, rule = B3-cer4cek5-aen6-in7c/S2aek3-kqy4ijkqty5acij6ei8
b3o\$obo\$o!
``````
(20,8)c/177; 7 cells (from 12)

Code: Select all

``````x = 4, y = 5, rule = B3-cer4ckt5-ein6ack7c/S2-ci3-kqy4ceijkqt5acijk6i7e
bo2\$3bo\$2b2o\$2obo!
``````
(14,5)c/175; 6 cells (from 7)

Code: Select all

``````x = 3, y = 4, rule = B3-cekr4ckt5-aekn6ack7e/S2-ci3-kqy4eijkqt5acijk6eik8
bo\$b2o\$2o\$o!
``````
(13,9)c/272; 7 cells (from 8)

Code: Select all

``````x = 4, y = 5, rule = B3-cry4c5-aen6-n7e/S2aek3-kqy4ijkty5acij6c7e
2obo\$2b2o\$3bo2\$bo!
``````
(13,3)c/193; 7 cells (from 9)

Code: Select all

``````x = 5, y = 4, rule = B3-ckr4cek5-eknq6-in7/S2aek3-kqy4cijt5acij6ce
o\$o3bo\$bo\$3o!
``````
(14,9)c/111; 5 cells (from 6)

Code: Select all

``````x = 4, y = 3, rule = B3-ckr4c5cijry6-n7c/S2-ci3-kq4ijty5acij6ei7e8
3bo\$3o\$bo!
``````
(13,5)c/269; 5 cells (from 6)

Code: Select all

``````x = 3, y = 4, rule = B3-cry4cet5-aenq6-in7c/S2-ci3-kqy4ijkty5acij7e
bo\$b2o\$bo\$o!
``````
(18,5)c/145; 7 cells (from 9)

Code: Select all

``````x = 5, y = 4, rule = B3-ckry4ckt5cijry6-n7c/S2-ci3-kqy4ijty5acij6-an
2b3o\$3bo\$o3bo\$4bo!
``````
(5,2)c/209; 5 cells (from 6)

Code: Select all

``````x = 4, y = 3, rule = B3-ckry4ct5cijry6-in7e/S2-ci3-kqy4cijkty5acij6cei7e8
bo\$3o\$3bo!
``````
(18,16)c/174; 7 cells (from 10)

Code: Select all

``````x = 5, y = 4, rule = B3-ckry4ct5-en6-n7e/S2aek3-kqy4ijkty5acij6cik7e
4bo\$o3bo\$3bo\$2b3o!
``````
(10,3)c/212; 7 cells (from 8)

Code: Select all

``````x = 4, y = 5, rule = B3-cry4ct5-eknq6-in7e/S2aek3-kqy4cijkt5acijk6c7e
bo2\$3bo\$2b2o\$2obo!
``````
(17,13)c/278; 7 cells (from 9)

Code: Select all

``````x = 5, y = 4, rule = B3-cqr4c5-en6-in7e/S2-ci3-kqy4ijkty5acijk6ei7e8
4bo\$o3bo\$3bo\$2b3o!
``````
25c/96d; 7 cells (from 9)

Code: Select all

``````x = 7, y = 3, rule = B3-enqy4ce5cq6c8/S2-ck3-ac4-ekqty5aeknr6eik7c
4bobo\$o3b3o\$6bo!
``````
24c/86d; 9 cells (from 26)

Code: Select all

``````x = 4, y = 4, rule = B3-nqy5q6cn/S2-ck3-ac4aijrtwz5cenr6i7c
2b2o\$obo\$obo\$3o!
``````
30c/112d; 7 cells (from 37)

Code: Select all

``````x = 3, y = 4, rule = B3-nqy4e5q6n8/S2-kn3-acy4-cknqy5acn6aci7e
b2o\$2bo\$3o\$o!
``````
(20,19)c/80; 8 cells (from 18)

Code: Select all

``````x = 4, y = 4, rule = B3-nqy5q6n/S2-k3-ac4-kqy5ekn6-n7e
b2o\$2b2o\$3o\$o!
``````
67c/372d; 7 cells (from 13)

Code: Select all

``````x = 4, y = 3, rule = B3-nqy4er5q6cn/S2-ck3-acy4-ckq5aen6aik7c8
2b2o\$obo\$3o!
``````
(32,22)c/186; 9 cells (from 49)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cr5cq6cn/S2-kn3-ac4aijrtwz5cekn6aci78
b3o\$bobo\$bobo\$2o!
``````
(18,16)c/101; 7 cells (from 9)

Code: Select all

``````x = 3, y = 4, rule = B3-nqy4er5c6c8/S2-k3-ac4-ckqy5ackn6ace78
o\$3o\$2bo\$b2o!
``````
(14,11)c/49; 8 cells (from 11)

Code: Select all

``````x = 4, y = 4, rule = B3-nqy4ej5c6cn/S2-ck3-acy4-cekqy5-ijqy
2b2o\$3bo\$4o\$bo!
``````
(18,13)c/120; 7 cells (from 8)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4j5c/S2aei3-ac4-cknq5aen6aik
2o\$o2bo\$2b2o\$3bo!
``````
34c/132d; 8 cells (from 9)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4j5q6cn8/S2aei3-acy4-cknq5akn6-in7
3bo\$2b2o\$obo\$3o!
``````
(14,13)c/156; 7 cells (from 8​​)

Code: Select all

``````x = 4, y = 3, rule = B3-enqy4j5cq6cn8/S2-ck3-ac4-ckqy5ackn6-cn7
2b2o\$obo\$3o!
``````
(15,14)c/56; 9 cells (from 29)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cj5q6c8/S2-ck3-ac4-cknq5acen6ak7e8
2b2o\$obo\$obo\$3o!
``````
48c/188d; 8 cells (from 18​​)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cj5q6cn8/S2-ck3-acy4-ckq5acen6ack
b2o\$2b2o\$3o\$o!
``````
(21,6)c/129; 9 cells (from 10)

Code: Select all

``````x = 4, y = 4, rule = B3-nqy4ej5cq6cn/S2-k3-acy4-cekqt5n6c7e8
b3o\$bobo\$bobo\$2o!
``````
(28,25)c/162; 6 cells (from 65)

Code: Select all

``````x = 3, y = 4, rule = B3-enqy4ejr5q6n/S2aei3-ac4aijrtwz5ckn6ak7c8
2o\$bo\$b2o\$o!
``````
(21,4)c/147; 7 cells (from 8​)

Code: Select all

``````x = 4, y = 3, rule = B3-nqy4cejr5q8/S2aei3-ac4aijrtwz5ekn6-en
b3o\$2b2o\$o2bo!
``````
(36,35)c/161; 8 cells (from 14)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4cejr6c/S2aei3-acy4-ckq5n6aik7
o\$3o\$2b2o\$b2o!
``````
(28,18)c/112; 8 cells (from 9)

Code: Select all

``````x = 4, y = 4, rule = B3-nqy4jr5q6n8/S2-k3-ac4-cekqy5n6-kn7c
2o\$bobo\$b3o\$2bo!
``````
122c/412o; 7 cells (from 19)

Code: Select all

``````x = 4, y = 3, rule = B3-nqy4cjr5c8/S2-kn3-ac4-cekq5ckn6aci7e
b3o\$bobo\$2o!
``````
(21,20)c/103; 9 cells (from 11)

Code: Select all

``````x = 4, y = 4, rule = B3-enqy4e5q6n/S2-k3-ac4-cekq5acin6aek
2b2o\$obo\$obo\$3o!
``````
I wrote random rule generators for 3-State Outer-Totalistic rules and for 2-State Isotropic Non-Totalistic rules!

I created a notation for the 3-State Isotropic Non-Totalistic rulespace and wrote a generator for it!

bibunsekibun
Posts: 62
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

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

(45,44)c/244 : 61 Cell

Code: Select all

``````x = 26, y = 20, rule = B2n3-cy4ceqy5cr/S2-in3-a4ikqyz5q
3bobo\$5b2o\$5b2o\$4b2o2\$11b3o\$9b3ob2o\$8bo6bo\$7bo7b2o\$7bo8b2o\$7bo3b2ob3o\$
2bo7bo3bo\$3b2o3b3o3b2o\$5o10bo\$4b2o6bo\$2b3o8bo\$3bo\$23b2o\$23bobo\$23b3o!
``````
Edit: 34c/866 : 14 cell

Code: Select all

``````x = 6, y = 7, rule = B2n3-y4ceqz5c6n/S2-in3-ak4eikqyz
obo2bo\$bobobo\$b3obo\$4bo\$4bo\$4bo\$2bo!
``````
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

LaundryPizza03
Posts: 1279
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

bibunsekibun wrote:
May 10th, 2021, 6:06 pm
(45,44)c/244 : 61 Cell

Code: Select all

``````x = 26, y = 20, rule = B2n3-cy4ceqy5cr/S2-in3-a4ikqyz5q
3bobo\$5b2o\$5b2o\$4b2o2\$11b3o\$9b3ob2o\$8bo6bo\$7bo7b2o\$7bo8b2o\$7bo3b2ob3o\$
2bo7bo3bo\$3b2o3b3o3b2o\$5o10bo\$4b2o6bo\$2b3o8bo\$3bo\$23b2o\$23bobo\$23b3o!
``````
Edit: 34c/866 : 14 cell

Code: Select all

``````x = 6, y = 7, rule = B2n3-y4ceqz5c6n/S2-in3-ak4eikqyz
obo2bo\$bobobo\$b3obo\$4bo\$4bo\$4bo\$2bo!
``````
Very good. However, we already have a 34c/866o ship with 4 cells:

Code: Select all

``````x = 4, y = 3, rule = B2ikn3-cj4crt5y6in78/S2aek3ijnqr4ein5e6ekn78
bo\$3bo\$obo!
``````
How did you find these ships? I'd run searchRule-matchPatt2.py in this rulespace.

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 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

bibunsekibun
Posts: 62
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

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

LaundryPizza03 wrote:
May 11th, 2021, 2:37 pm
How did you find these ships? I'd run searchRule-matchPatt2.py in this rulespace.
Manually.
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

bibunsekibun
Posts: 62
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

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

Sorry for the double post
Where is the latest Spaceship collection?
Edit:(53,32)c/381 36cell

Code: Select all

``````x = 27, y = 36, rule = B2n3-cy4qt5c8/S2-in3-a4iknqz5q
2bo\$2ob2o\$3bo25\$22b3o\$21bo2bo\$13b3o5bo2bo\$15bo8b2o\$20bo3b2o\$13bo2bo3bo
4b2o\$15bobo7bo\$21b2obo\$15bo6b2o!
``````
Edit2:4c/1146 7cell

Code: Select all

``````x = 3, y = 4, rule = B2n3-cy4qt5c8/S2-in3-a4iknqz5eq8
o\$2o\$b2o\$2o!
``````
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

LaundryPizza03
Posts: 1279
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

bibunsekibun wrote:
May 13th, 2021, 3:44 am
Where is the latest Spaceship collection?
On Github, although I think it's past due for another update on my behalf. Some scripts we use for finding spaceships are also there.

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 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

bibunsekibun
Posts: 62
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

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

LaundryPizza03 wrote:
May 13th, 2021, 5:04 am
bibunsekibun wrote:
May 13th, 2021, 3:44 am
Where is the latest Spaceship collection?
On Github, although I think it's past due for another update on my behalf. Some scripts we use for finding spaceships are also there.
Wow! Thank you so much.

Code: Select all

``````x = 32, y = 95, rule = B2n3-c4eqz5ckr8/S2-in3-a4iknyz5q
3bo\$2b3o\$bo2bo\$2obob2o\$b2obob2o\$3bo2bo\$3b3o\$4bo9\$2b3obo\$b2o19bo\$2b3o
17bo\$3bo16bo3bo\$23b3o\$18bo3b2obo\$16b2o4b2o\$16bo2b2o\$16bob2o\$17b2o3\$29b
2o\$24b2o4b2o\$23bobo4bo\$23bo5bo\$19b3o3b2o\$19b2o4b2o2bo\$19b2o7b3o\$21b2o\$
20b2o\$22bo13\$b2obo\$bo3bo\$bo\$obo\$obo12\$28bo\$25b2o\$24bo4bo\$25bob4o\$25b4o
\$26b2o21\$5bo\$5b3o\$7bo!
``````
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

bibunsekibun
Posts: 62
Joined: April 17th, 2021, 7:58 pm
Location: TRAPPIST-1e

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

Double post sorry
(57,9)c/270 12cell

Code: Select all

``````x = 8, y = 5, rule = B2n34eqz5cery6n8/S2-in3-a4ciknyz5q
obo\$2bo2b2o\$3b2ob2o\$5b2o\$5bo!
``````
Edit;(46,25)c/349 27cell

Code: Select all

``````x = 16, y = 11, rule = B2n34eqz5cery6n8/S2-in3-a4ciknyz5eq
7bo2\$6bobo\$5bo2bo4bo\$13b2o\$4bobo5bob2o\$12bobo\$b2o2bo6b2o\$2o\$bo2bo\$2b3o
!
``````
I'm sleepy
I'm not good at English, so please let me know if you have any grammatical mistakes
My Favorite Pattern is 60P312

bubblegum
Posts: 897
Joined: August 25th, 2019, 11:59 pm

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

By the way, here's something I forgot to post to the forums. Including the initial spaceship (which was also a sR-mP2 result), that's about 5000 B-heptomino spaceships for the project.

50c/406d, 6

Code: Select all

``````x = 3, y = 4, rule = B2i3-ny4jnq5c6cin/S2aek3-aky4eiky5enr6aik
bo\$o\$o\$3o!
``````
Attachments
results.txt