## Rules with small adjustable spaceships

For discussion of other cellular automata.
Posts: 330
Joined: January 24th, 2018, 4:36 pm
Location: Minnesota, USA

### Re: Rules with small adjustable spaceships

b1e adjustable ship that has a slightly higher max speed than the other b1e adjustable ship in this thread. You should be able to get diagonal and other such ships in this rule but i couldn't quite wrangle them into working.

Code: Select all

``````x = 3, y = 34, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
b2o\$b2o4\$3o\$obo\$bo2\$2o\$2o3\$2o\$2o2\$bo\$obo\$3o3\$b2o\$b2o3\$b2o\$b2o4\$2bo2\$3o
\$3o!

``````
also bump
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

confocaloid
Posts: 3524
Joined: February 8th, 2022, 3:15 pm

### Re: Rules with small adjustable spaceships

April 16th, 2024, 2:03 am
b1e adjustable ship that has a slightly higher max speed than the other b1e adjustable ship in this thread. You should be able to get diagonal and other such ships in this rule but i couldn't quite wrangle them into working.

Code: Select all

``x = 3, y = 34, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn``
p96 diagonal c/48 spaceship

Code: Select all

``````x = 53, y = 53, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
12b2o37b2o\$2o10bobo36b2o\$2o10b2o7\$50b3o\$50bobo\$51bo24\$bo\$obo\$3o13\$b2o
34b2o\$b2o33bobo11b2o\$37b2o11b2o!
``````
p480 oblique (5,3)c/240 spaceship

Code: Select all

``````x = 85, y = 53, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
12b2o69b2o\$2o10bobo68b2o\$2o10b2o7\$82b3o\$82bobo\$83bo24\$bo\$obo\$3o13\$b2o
66b2o\$b2o65bobo11b2o\$69b2o11b2o!
``````
p288 oblique (3,1)c/144 spaceship

Code: Select all

``````x = 149, y = 53, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
12b2o133b2o\$2o10bobo132b2o\$2o10b2o7\$146b3o\$146bobo\$147bo24\$bo\$obo\$3o
13\$b2o130b2o\$b2o129bobo11b2o\$133b2o11b2o!
``````
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

AforAmpere
Posts: 1348
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

A bunch of new 3-cell adjustables at 3c/x, found with some new experimental EPE features to be released soon.

EDIT, with the 12n ones, all periods are covered above some small value.

EDIT 2, all periods above threshold covered for 4c/x now as well.

EDIT 3, filled in all of 5c/x, and 1/60 of 6c/x.

3c/12n n>=8:

Code: Select all

``````x = 10, y = 3, rule = B2cik3ae4ikrtyz5cij6ekn7c/S01c2eik3-eiq4aijkr5ek6aci
9bo\$o\$9bo!
``````
3c/(12n+1) n>=7:

Code: Select all

``````x = 9, y = 3, rule = B2cik3ae4ikrtyz5cij6aen7e/S01c2eik3-eikq4aijkr5ekr6aci
8bo\$o\$8bo!
``````
3c/(12n+2) n>=7:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aek4irty5inr6akn7c/S01c2eik3-eiq4aijr5-ny6in7c
8bo\$o\$8bo!
``````
3c/(12n+3) n>=6:

Code: Select all

``````x = 8, y = 3, rule = B2cik3ae4ikqrtyz5ir6-ci7/S01c2eik3-eiq4aijkqr5ejkn6-ek
7bo\$o\$7bo!
``````
3c/(12n+4) n>=6:

Code: Select all

``````x = 8, y = 3, rule = B2cik3ae4ikrtyz5cij6aen7e/S01c2eik3-eiq4aijr5ek6aci
7bo\$o\$7bo!
``````
3c/(12n+5) n>=7:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4ikrz5cijn6akn7/S01c2eik3-eiq4aikz5ceikn6cik
8bo\$o\$8bo!
``````
3c/(12n+6) n>=7:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4irz5ijn6an7/S01c2eik3-eiq4aijkz5-aqy6-an8
8bo\$o\$8bo!
``````
3c/(12n+7) n>=8:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aey4ikrz5cijnr6kn7/S01c2eik3-eiq4aikqz5-ajqy6-en
9bo\$o\$9bo!
``````
3c/(12n+8) n>=11:

Code: Select all

``````x = 12, y = 3, rule = B2cik3ae4iqrz5cij6an7c/S01c2eik3cjkny4ijkrz5eknr6cin7c
11bo\$o\$11bo!
``````
3c/(12n+9) n>=6:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4ikryz5ijnr6an7e/S01c2eik3-eiq4aikz5-ajqy6-an7c
8bo\$o\$8bo!
``````
3c/(12n+10) n>=7:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4iqryz5cijn6an7e/S01c2eik3-eiq4aikqz5-aqy6-n
8bo\$o\$8bo!
``````
3c/(12n+11) n>=6:

Code: Select all

``````x = 9, y = 3, rule = B2cik3ae4ikqrz5cijr6an7c/S01c2eik3cjkny4ijkqrz5ekqr6-ak7c
8bo\$o\$8bo!
``````

3c/(21n+5) n>=8:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aek4ikrty5in6en/S01c2eik3cjnry4aijkq5-cijy6ain
10bo\$o\$10bo!
``````
3c/(24n) n>=6:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkqry5ai6en7e/S01c2ei3cjnry4airt5eijkr6-ek
11bo\$o\$11bo!
``````
3c/(24n+1) n>=5:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4ijrz5aijry6-ci/S01c2ei3cjnry4aijr5-cry6ain78
11bo\$o\$11bo!
``````
3c/(24n+2) n>=4:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aeky4ijrz5-eknq6n/S01c2ei3cjnry4aikr5-acny6-k7
9bo\$o\$9bo!
``````
3c/(24n+7) n>=6:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aey4-centw5aciy6n/S01c2ei3cjnry4aiqrt5ceijk6-k
11bo\$o\$11bo!
``````
3c/(24n+13) n>=5:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkry5acij6an7c/S01c2ei3cjnry4airtz5-ny6-ek7c
11bo\$o\$11bo!
``````
3c/(24n+18) n>=3:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aeky4ijrz5aijy6kn7e/S01c2ei3cjnry4aijr5-cnqy6ain78
9bo\$o\$9bo!
``````
3c/(24n+21) n>=5:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4-centw5ai6n/S01c2ei3cjnry4airt5ceijk6-ek7c
11bo\$o\$11bo!
``````
3c/(24n+22) n>=5:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aey4aijkry5aciy6n/S01c2ei3-aeiq4airt5aeijk6-ek7e
11bo\$o\$11bo!
``````
3c/57n n>=3:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijqr5ijr6akn/S01c2ei3acjny4aiktz5-cny6-ae7c8
11bo\$o\$11bo!
``````
3c/(57n+2) n>=3:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijr5aijr6en7e/S01c2ei3-eikq4aiktz5-cjry6ci8
11bo\$o\$11bo!
``````
3c/(57n+18) n>=4:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijkqrz5aijr6an7e/S01c2ei3-eikq4aikt5ceikn6ci7c8
15bo\$o\$15bo!
``````
3c/(57n+29) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijry5aijr6akn7e/S01c2ei3-eikq4aikt5-jnqy6ci7c8
11bo\$o\$11bo!
``````
3c/(57n+30) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijr5ij6n/S01c2ei3acjny4aikt5aeik6cik8
11bo\$o\$11bo!
``````
3c/(57n+31) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkr5ij6aen/S01c2ei3acjny4aikt5aceik6-ae7c8
11bo\$o\$11bo!
``````
3c/(57n+32) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkqry5ijr6ekn7e/S01c2ei3acjny4aiktz5-ny6cik7c8
11bo\$o\$11bo!
``````
3c/(57n+33) n>=3:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijkqr5ij6an/S01c2ei3acjny4aijkqtz5aejk6cik8
15bo\$o\$15bo!
``````
3c/(57n+34) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkqry5aijr6n7/S01c2ei3-eikq4aiktz5ceikr6cin7c8
11bo\$o\$11bo!
``````
3c/(57n+35) n>=3:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijkqr5ijr6an/S01c2ei3acjny4aijkt5aejk6cik8
15bo\$o\$15bo!
``````
3c/(57n+38) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkqr5acijr6an7e/S01c2ei3-eikq4aiktz5-cjqy6-ak8
11bo\$o\$11bo!
``````
3c/(57n+39) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijr5ij6an7/S01c2ei3acjny4aikqt5-nry6-a7c8
11bo\$o\$11bo!
``````
3c/(57n+40) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijr5acijr6an7e/S01c2ei3-eikq4aiktz5eikr6ci8
11bo\$o\$11bo!
``````
3c/(57n+41) n>=3:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijkrz5ijr6en/S01c2ei3acjny4aikqt5-nqry6-an7c8
15bo\$o\$15bo!
``````
3c/(57n+47) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijr5ijr6an/S01c2ei3acjny4aijktz5aeikr6-ae8
11bo\$o\$11bo!
``````
3c/(57n+49) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijkqry5aij6akn7e/S01c2ei3-eikq4aikt5-jny6cei7c8
11bo\$o\$11bo!
``````
3c/(57n+51) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4aijqry5aci6aen7c/S01c2ei3acjny4aikqt5-aiy6-a7c8
11bo\$o\$11bo!
``````
3c/(57n+53) n>=2:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aeky4-centw5ijr6n7/S01c2ei3acjny4aiktz5-ny6cik7c8
11bo\$o\$11bo!
``````
3c/(57n+54) n>=3:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijqr5ij6akn7c/S01c2ei3acjny4aikqt5aejk6cik7c8
15bo\$o\$15bo!
``````
3c/(84n+3) n>=2:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijkry5aciny6aen7c/S01c2ei3cjnry4air5-anry6ci7e
15bo\$o\$15bo!
``````
3c/(84n+17) n>=2:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijkry5aciny6an7c/S01c2ei3cjnry4aiqrz5-aqy6cin7c
15bo\$o\$15bo!
``````
3c/(84n+23) n>=2:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijr5-ejkq6an7c/S01c2ei3cjnry4airz5-any6-ek
15bo\$o\$15bo!
``````
3c/(84n+33) n>=2:

Code: Select all

``````x = 16, y = 3, rule = B2cik3aeky4aijry5-ejkq6-ci7c/S01c2ei3cjnry4aiqr5-any6cin7e
15bo\$o\$15bo!
``````

EDIT2, 4c/x:

4c/12n n>=5:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aeky4ijkrtz5in6n/S01c2eik3cjnry4ci5eik6ik7e
8bo\$o\$8bo!
``````
4c/(12n+1) n>=10:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aey4ijrtz5in6-ci7/S01c2eik3-aeiq4acikr5eijk6ci7c8
11bo\$o\$11bo!
``````
4c/(12n+2) n>=7:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aey4ijkrtyz5iny6aen7e/S01c2eik3-aeiq4acikz5eijkr6-ek8
9bo\$o\$9bo!
``````
4c/(12n+3) n>=6:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4ijkqrz5ir6en7/S01c2eik3-aeiq4aikrz5-jqy6cei7e8
8bo\$o\$8bo!
``````
4c/(12n+4) n>=7:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aek4ijrty5ir6aen7/S01c2eik3-eikq4aij5eknr6aci8
9bo\$o\$9bo!
``````
4c/(12n+5) n>=7:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4ijkqrz5ci6en7c/S01c2eik3-eiq4aik5-aqy6-en7e8
8bo\$o\$8bo!
``````
4c/(12n+6) n>=7:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aey4ijkrtyz5cijy6aen7e/S01c2eik3cjnry4acikz5eijkr6-ek8
9bo\$o\$9bo!
``````
4c/(12n+7) n>=7:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aey4ijqryz5ij6n7/S01c2eik3-eiqr4aikq5eikqr6cik8
9bo\$o\$9bo!
``````
4c/(12n+8) n>=6:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aey4ijkrtz5inr6-ci7c/S01c2eik3-aeiq4aikr5eijk6ci
8bo\$o\$8bo!
``````
4c/(12n+9) n>=6:

Code: Select all

``````x = 9, y = 3, rule = B2cik3aek4ijkrty5i6aen7/S01c2eik3-eikq4aijkz5eknr6-kn8
8bo\$o\$8bo!
``````
4c/(12n+10) n>=8:

Code: Select all

``````x = 11, y = 3, rule = B2ci3aey4ijkqrtz5ijn6n7/S01c2eik3-aeiq4aik5-aiqy6-en7e
10bo\$o\$10bo!
``````
4c/(12n+11) n>=8:

Code: Select all

``````x = 11, y = 3, rule = B2ci3aey4ijkqrtz5cijnr6n7/S01c2eik3-eiq4aik5-aiqy6-ae78
10bo\$o\$10bo!
``````
EDIT3, 5c/x and 2 chunks of 6c/x:

5c/12n n>=9:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aek4ir5ijny6akn/S01c2eik3-eiq4cijkrz5cekq6-ce7e8
10bo\$o\$10bo!
``````
5c/(12n+1) n>=10:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aek4ir5ijry6n7c/S01c2eik3-aeiq4cijkq5ceikq6ik78
11bo\$o\$11bo!
``````
5c/(12n+2) n>=9:

Code: Select all

``````x = 11, y = 3, rule = B2cik3ae4iryz5ciy6akn/S01c2eik3cjnry4aciqr5-jny6ai8
10bo\$o\$10bo!
``````
5c/(12n+3) n>=9:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aek4irz5iy6-ci7c/S01c2eik3-aeiq4cijkr5ceikr6aik7e8
10bo\$o\$10bo!
``````
5c/(12n+4) n>=8:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aek4iqr5ijy6kn/S01c2eik3-aeiq4cik5cekqr6ik7e8
10bo\$o\$10bo!
``````
5c/(12n+5) n>=8:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aek4iry5ciny6an/S01c2eik3-aeiq4cijkr5-aqy6ik7e8
9bo\$o\$9bo!
``````
5c/(12n+6) n>=9:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aek4irz5ciy6an/S01c2eik3-eiq4cijkrz5cejk6ik7e8
11bo\$o\$11bo!
``````
5c/(12n+7) n>=7:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aey4ijkry5i6n7/S01c2eik3acjny4aijk5-ajny6ik7c8
9bo\$o\$9bo!
``````
5c/(12n+8) n>=8:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aek4ir5inry6n/S01c2eik3-aeiq4cikr5-aqry6ik7e8
10bo\$o\$10bo!
``````
5c/(12n+9) n>=8:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aek4iry5ijny6akn/S01c2eik3-aeiq4cijkrz5cekq6-c7e8
10bo\$o\$10bo!
``````
5c/(12n+10) n>=9:

Code: Select all

``````x = 12, y = 3, rule = B2cik3aek4iry5inry6akn/S01c2eik3-aeiq4cijkz5cejkq6-ce78
11bo\$o\$11bo!
``````
5c/(12n+11) n>=7:

Code: Select all

``````x = 10, y = 3, rule = B2cik3aey4ijkry5cij6n7/S01c2eik3acjny4aik5-cjny6-e7c
9bo\$o\$9bo!
``````

6c/(60n+32) n>=1:

Code: Select all

``````x = 11, y = 3, rule = B2cik3aey4aijry5cijry6an7e/S01c2ei3-eiqr4iqt5ek6ik7c8
10bo\$o\$10bo!
``````
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

NimbleRogue
Posts: 576
Joined: January 11th, 2021, 11:48 pm

### Re: Rules with small adjustable spaceships

Funny adjustable ship that has the same signal going both ways, and the same ends on both sides

Code: Select all

``````x = 11, y = 33, rule = B2ce3ejny5i7e8/S12cik3aeir4irt5y6i
o\$2b3o\$o3\$o\$2b4o\$o3\$o\$2b5o\$o3\$o\$2b6o\$o3\$o\$2b7o\$o3\$o\$2b8o\$o3\$o\$2b9o\$o!``````

Code: Select all

``````x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo\$3o\$ob2o!
``````

Code: Select all

``````#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo\$3b4o\$ob6obo\$2b6o!
``````

AforAmpere
Posts: 1348
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

Adjustable with state count, but in a less typical fashion, as the speeds are (2s-8)c/(2s^2-2s-9):

Code: Select all

``````x = 5, y = 3, rule = 12-cn3eny4cei5eiy/2ik3aei4ei5i/25
A2.A\$.AB2A\$A2.A!``````
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

iddi01
Posts: 187
Joined: January 24th, 2024, 5:14 am
Location: B3-n/S1e2-a3-e4e

### Re: Rules with small adjustable spaceships

Here's a bunch of highly unusual adjustable spaceships with the speeds being a near-log rate. From a minimum length of 3, the speeds of extensions are c/x, where x follows the exotic number sequence of 9,15,26,45,84,158,307,..., which can't be found at the OEIS:

Code: Select all

``````x = 13, y = 48, rule = logext
2\$.A\$.3B\$.A4\$.A\$.4B\$.A4\$.A\$.5B\$.A4\$.A\$.6B\$.A4\$.A\$.7B\$.A4\$.A\$.8B\$.A4\$.
A\$.9B\$.A4\$.A\$.10B\$.A!

@RULE logext

@TABLE
n_states:3
neighborhood:Moore
symmetries:rotate4reflect
0,0,0,0,0,0,1,0,0,0
0,0,0,0,0,1,2,0,0,0
0,0,0,0,1,2,1,0,0,0
0,0,0,0,2,1,0,0,0,0
0,0,0,0,1,0,0,0,0,0
0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0
1,0,0,0,0,0,2,2,0,1
2,0,0,1,0,2,0,1,0,2
1,0,0,2,2,0,0,0,0,1
0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0
0,1,0,0,0,0,2,2,2,1
2,2,1,0,0,2,0,0,1,1
0,1,2,2,2,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0
0,0,0,0,0,0,0,2,2,0
2,2,0,0,0,0,0,0,0,2
0,0,2,2,0,0,0,0,0,0
0,0,0,0,0,0,2,2,2,0
2,2,0,0,0,2,0,0,0,2
0,0,2,2,2,0,0,0,0,0
0,0,0,0,0,0,0,0,2,0
0,2,0,0,0,0,0,0,0,0
0,0,2,0,0,0,0,0,0,0
0,0,0,0,0,0,1,1,0,0
1,0,0,0,0,1,1,2,0,1
2,0,0,1,1,1,1,1,0,2
1,0,0,2,1,1,0,0,0,1
0,0,0,1,1,0,0,0,0,0
0,0,0,0,0,0,0,1,1,0
1,1,0,0,0,0,2,1,2,2
1,2,1,1,0,2,0,1,1,2
1,1,2,1,2,0,0,0,0,2
0,0,1,1,0,0,0,0,0,0
0,1,0,0,0,0,0,2,1,0
2,1,1,0,0,0,0,0,1,1
0,1,1,2,0,0,0,0,0,0
0,1,0,0,0,0,2,2,1,0
2,1,1,0,0,2,0,0,1,1
0,1,1,2,2,0,0,0,0,0
0,0,0,0,0,0,2,1,0,0
1,0,0,0,0,2,2,2,0,1
2,0,0,1,2,2,2,1,0,2
1,0,0,2,2,2,0,0,0,1
0,0,0,1,2,0,0,0,0,0
0,0,0,0,0,0,0,2,1,0
2,1,0,0,0,0,1,2,2,0
2,2,1,2,0,1,0,2,1,2
2,1,2,2,1,0,0,0,0,0
0,0,1,2,0,0,0,0,0,0
0,2,0,0,0,0,0,1,2,0
1,2,2,0,0,0,0,0,2,1
0,2,2,1,0,0,0,0,0,0
0,2,0,0,0,0,2,1,2,0
1,2,2,0,0,2,0,0,2,1
0,2,2,1,2,0,0,0,0,0
0,1,0,0,0,0,0,0,0,0
2,1,0,0,0,0,0,0,0,2
0,0,0,0,0,0,2,2,1,0
2,1,0,0,0,2,0,0,0,2
0,0,1,2,2,0,0,0,0,0
0,1,0,0,0,0,1,2,2,1
2,2,1,0,0,1,0,0,1,2
0,1,2,2,1,0,0,0,0,1
0,0,0,0,0,0,0,1,2,0
1,2,0,0,0,0,0,0,0,1
0,0,2,1,0,0,0,0,0,0
0,0,0,0,0,0,2,1,2,0
1,2,0,0,0,2,0,0,0,1
0,0,2,1,2,0,0,0,0,0
1,0,0,0,0,1,2,2,0,1
2,0,0,1,1,2,1,1,0,2
1,0,0,2,2,1,0,0,0,1
1,1,0,0,0,0,1,2,2,1
2,2,1,1,0,1,0,1,1,2
1,1,2,2,1,0,0,0,0,1
0,1,0,0,0,0,0,1,2,1
1,2,1,0,0,0,0,0,1,1
0,1,2,1,0,0,0,0,0,1
0,1,0,0,0,0,2,1,2,1
1,2,1,0,0,2,0,0,1,1
0,1,2,1,2,0,0,0,0,1
0,0,0,0,0,0,1,1,1,0
1,1,0,0,0,1,1,2,2,1
2,2,1,1,1,1,1,1,1,2
1,1,2,2,1,1,0,0,0,1
0,0,1,1,1,0,0,0,0,0
1,1,0,0,0,0,0,1,2,1
1,2,1,1,0,0,0,1,1,0
1,1,2,1,0,0,0,0,0,1
0,1,0,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,1,0
0,1,1,0,0,0,0,0,0,0
1,1,0,0,0,1,0,2,2,1
2,2,1,1,1,0,1,1,1,2
1,1,2,2,0,1,0,0,0,1
0,0,0,0,0,0,2,1,1,0
1,1,0,0,0,2,2,2,2,2
2,2,1,1,2,2,2,1,1,2
1,1,2,2,2,2,0,0,0,2
0,0,1,1,2,0,0,0,0,0
1,1,0,0,0,0,0,0,2,2
0,2,1,1,0,0,0,1,1,0
1,1,2,0,0,0,0,0,0,2
0,0,1,0,0,0,0,0,1,1
1,1,0,0,0,2,0,2,2,0
2,2,1,1,2,0,2,1,1,2
1,1,2,2,0,2,0,0,0,0
2,1,0,0,0,0,2,2,2,0
2,2,1,2,0,2,0,2,1,2
2,1,2,2,2,0,0,0,0,0
2,1,0,0,0,0,1,0,2,2
0,2,1,2,0,1,0,2,1,0
2,1,2,0,1,0,0,0,0,2
0,2,0,0,0,0,1,2,2,0
2,2,2,0,0,1,0,0,2,2
0,2,2,2,1,0,0,0,0,0
0,2,0,0,0,0,0,1,0,0
1,0,2,0,0,0,0,0,2,1
0,2,0,1,0,0,0,0,0,0
0,0,0,0,0,0,2,0,1,2
0,1,0,0,0,2,0,2,2,0
2,2,1,0,2,0,2,0,1,2
0,1,2,2,0,2,0,0,0,0
0,0,1,0,2,0,0,0,0,2
0,0,0,0,0,0,0,2,0,0
2,0,0,0,0,0,1,0,2,0
0,2,0,2,0,1,0,2,0,0
2,0,2,0,1,0,0,0,0,0
0,0,0,2,0,0,0,0,0,0
0,0,0,0,0,0,1,2,2,0
2,2,0,0,0,1,0,0,0,2
0,0,2,2,1,0,0,0,0,0
0,0,0,0,0,0,2,0,0,0
0,0,0,0,0,2,0,1,0,0
1,0,0,0,2,0,2,2,0,2
1,0,0,2,2,0,2,0,0,2
0,0,0,1,0,2,0,0,0,0
0,0,0,0,2,0,0,0,0,0
2,0,0,0,0,0,0,0,1,0
0,1,0,2,0,0,0,2,2,0
2,2,1,0,0,0,0,0,1,2
0,1,2,2,0,0,0,2,0,0
2,0,1,0,0,0,0,0,0,0
0,0,2,0,0,0,1,0,2,0
0,2,0,0,0,1,0,0,0,2
0,0,2,0,1,0,0,0,2,0
0,1,0,0,0,0,1,2,1,0
2,1,1,0,0,1,0,0,1,1
0,1,1,2,1,0,0,0,0,0
1,0,0,0,0,0,0,0,0,1
0,0,0,0,0,2,2,0,0,0
0,0,0,0,2,2,2,0,0,0
0,0,0,0,2,2,0,0,0,0
2,0,0,0,0,0,2,2,0,2
2,0,0,2,0,2,0,2,0,1
2,0,0,2,2,0,0,0,0,2
0,2,0,0,0,0,2,2,2,0
2,2,2,0,0,2,0,0,2,2
0,2,2,2,2,0,0,0,0,0
0,2,0,0,0,0,1,1,2,0
1,2,2,0,0,1,0,0,2,1
0,2,2,1,1,0,0,0,0,0
1,1,0,0,0,0,0,0,0,1
1,1,0,0,0,2,0,0,0,1
0,0,0,0,0,2,1,0,0,0
0,0,0,0,2,1,2,0,0,0
0,0,0,0,1,2,0,0,0,0
2,0,0,0,0,0,2,1,0,0
1,0,0,2,0,2,0,2,0,0
2,0,0,1,2,0,0,0,0,0
0,2,0,0,0,0,2,2,1,1
2,1,2,0,0,2,0,0,2,2
0,2,1,2,2,0,0,0,0,1
0,0,0,0,0,0,1,1,2,0
1,2,0,0,0,1,0,0,0,1
0,0,2,1,1,0,0,0,0,0
0,1,0,0,0,0,1,1,2,1
1,2,1,0,0,1,0,0,1,1
0,1,2,1,1,0,0,0,0,1
1,1,0,0,0,0,1,1,2,1
1,2,1,1,0,1,0,1,1,2
1,1,2,1,1,0,0,0,0,1
0,1,0,0,0,0,0,1,1,0
1,1,1,0,0,0,0,0,1,1
0,1,1,1,0,0,0,0,0,0
0,1,0,0,0,0,2,1,1,0
1,1,1,0,0,2,0,0,1,1
0,1,1,1,2,0,0,0,0,0
1,1,0,0,0,1,2,2,2,1
2,2,1,1,1,2,1,1,1,2
1,1,2,2,2,1,0,0,0,1
1,1,0,0,0,0,2,2,2,1
2,2,1,1,0,2,0,1,1,2
1,1,2,2,2,0,0,0,0,1
0,0,0,0,0,2,0,1,1,2
1,1,0,0,2,0,2,2,2,0
1,1,2,2,2,0,2,0,0,0
0,0,1,1,0,2,0,0,0,2
0,1,0,2,0,0,2,2,2,0
0,1,2,2,2,0,0,2,0,0
0,0,2,0,0,0,2,2,2,0
0,0,2,2,2,0,0,0,2,0
2,0,0,0,0,0,1,2,0,2
2,0,0,2,0,1,0,2,0,1
2,0,0,2,1,0,0,0,0,2
0,0,0,0,0,0,1,2,1,0
2,1,0,0,0,1,0,0,0,2
0,0,1,2,1,0,0,0,0,0
2,0,0,0,0,0,1,1,0,0
1,0,0,2,0,1,0,2,0,0
2,0,0,1,1,0,0,0,0,0
0,2,0,0,0,0,2,1,1,1
1,1,2,0,0,2,0,0,2,2
0,2,1,1,2,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
0,1,0,0,0,0,1,1,1,0
1,1,1,0,0,1,0,0,1,1
0,1,1,1,1,0,0,0,0,0
0,1,0,2,0,0,1,2,2,0
0,1,2,2,1,0,0,2,0,0
0,0,2,0,0,0,2,1,2,0
0,0,2,1,2,0,0,0,2,0
0,2,0,0,0,0,1,2,1,1
2,1,2,0,0,1,0,0,2,2
0,2,1,2,1,0,0,0,0,1
1,0,0,0,0,0,1,2,0,1
2,0,0,1,0,1,0,1,0,2
1,0,0,2,1,0,0,0,0,1
0,0,2,0,0,0,1,2,2,0
0,0,2,2,1,0,0,0,2,0
``````
If there's similar stuff in a two state rule, it would probably get a lot of entries in 5S.
Wiki: User:iddi01

I'm making a poll. please contribute.

First gun i constructed:

Code: Select all

``````x = 69, y = 69, rule = B3-n/S1e2-a3-e4e
2\$32b3o\$32bobo\$32bobo\$32b3o27\$63b4o\$b4o58bo2bo\$bo2bo23bo4b2o28b4o\$b4o
21bobo\$28bo21\$35bo\$34b3o6\$33b3o\$33bobo\$33bobo\$33b3o!
``````

NimbleRogue
Posts: 576
Joined: January 11th, 2021, 11:48 pm

### Re: Rules with small adjustable spaceships

A odd looking set of adjustable ships with periods c/(4(a+b)-3)d where a and b are side lengths of the rectangle/2, and where a, and b are ≥ 4

Code: Select all

``````x = 97, y = 49, rule = B2kn3aijnr4cjkr5in6ae7c/S2c3n4nq5-ekqy6ace78
15bo19bo19bo19bo19bo\$bobobobobobobob2o6bobobobobobob2o8bobobobobob2o
10bobobobob2o12bobobob2o\$14o8b12o10b10o12b8o14b6o\$b15o7b13o9b11o11b9o
13b7o\$15o7b13o9b11o11b9o13b7o\$b15o7b13o9b11o11b9o13b7o\$15o7b13o9b11o
11b9o13b7o\$b15o7b13o9b11o11b9o13b7o\$obobobobobobobo7bobobobobobobo9bob
obobobobo11bobobobobo13bobobobo10\$15bo19bo19bo\$3bobobobobobob2o8bobobo
bobob2o10bobobobob2o\$2b12o10b10o12b8o\$3b13o9b11o11b9o\$2b13o9b11o11b9o\$
3b13o9b11o11b9o\$2b13o9b11o11b9o\$3b13o9b11o11b9o\$2b13o9b11o11b9o\$3b13o
9b11o11b9o\$2bobobobobobobo9bobobobobobo11bobobobobo8\$15bo\$5bobobobobob
2o\$4b10o\$5b11o\$4b11o\$5b11o\$4b11o\$5b11o\$4b11o\$5b11o\$4b11o\$5b11o\$4bobobo
bobobo!``````
Another rule with a set of adjustable oscillators, and ships

Code: Select all

``````x = 269, y = 45, rule = B2eik3aijnr4jrtw5inq6ae7c8/S2en3kn4ktwyz5-eqry6-in78
3\$15bo39bo59bo59bo39bo39bo\$5bobobobob2o22bobobobobobobobob2o34bobobobo
bobobobobobobobob2o46bobobobobobob2o18bobobobobobobobobobob2o10bobobob
obobobobobobobobobobob2o\$4b11o21b19o33b27o45b15o17b23o9b31o\$5b9o23b17o
35b25o47b13o19b21o11b29o\$4b11o21b19o33b27o45b15o17b23o9b31o\$5b9o23b17o
35b25o47b13o19b21o11b29o\$4b11o21b19o33b27o45b15o17b23o9b31o\$5b9o23b17o
35b25o47b13o19b21o11b29o\$4b11o21b19o33b27o45b15o17b23o9b31o\$5b9o23b17o
35b25o47b13o19b21o11b29o\$4b11o21b19o33b27o45b15o17b23o9b31o\$5bobobobob
o23b17o35b25o47b13o19b21o11b29o\$36b19o33b27o45b15o17b23o9b31o\$37b17o
35b25o47b13o19b21o11b29o\$36b19o33b27o45b15o17b23o9b31o\$37b17o35b25o47b
obobobobobobo19b21o11b29o\$36b19o33b27o77b23o9b31o\$37b17o35b25o79b21o
11b29o\$36b19o33b27o77b23o9b31o\$37bobobobobobobobobo35b25o79b21o11b29o\$
88b27o77b23o9b31o\$89b25o79b21o11b29o\$88b27o77b23o9b31o\$89b25o79bobobob
obobobobobobobo11b29o\$88b27o109b31o\$89b25o111b29o\$88b27o109b31o\$89bobo
bobobobobobobobobobobo111b29o\$224b31o\$225b29o\$224b31o\$225bobobobobobob
obobobobobobobobo!
``````

Code: Select all

``````x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo\$3o\$ob2o!
``````

Code: Select all

``````#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2bo4bo\$3b4o\$ob6obo\$2b6o!
``````

eRroR_6o6
Posts: 232
Joined: August 15th, 2023, 1:24 am
Location: somewhere over the rainbow

### Re: Rules with small adjustable spaceships

April 16th, 2024, 2:03 am
b1e adjustable ship that has a slightly higher max speed than the other b1e adjustable ship in this thread. You should be able to get diagonal and other such ships in this rule but i couldn't quite wrangle them into working.

Code: Select all

``````x = 3, y = 34, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
b2o\$b2o4\$3o\$obo\$bo2\$2o\$2o3\$2o\$2o2\$bo\$obo\$3o3\$b2o\$b2o3\$b2o\$b2o4\$2bo2\$3o
\$3o!

``````
also bump
this rule is actually surprisingly engineerable despite its B1e transition

Edit: probably the fastest diagonal spaceship

Code: Select all

``````x = 20, y = 21, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
4\$4b2o7b2o\$4b2o7bobob2o\$13b2o2b2o\$5bo\$4bobo\$4b3o3\$16b3o\$16bobo\$17bo2\$
9b2o5b2o\$5b2obobo5b2o\$5b2o2b2o!
``````
and the fastest knightship I think

Code: Select all

``````x = 35, y = 15, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
2o27b2o\$2o27bobob2o\$29b2o2b2o\$bo\$obo\$3o3\$32b3o\$32bobo\$33bo2\$5b2o25b2o\$
b2obobo25b2o\$b2o2b2o!``````
you can create spaceships of slopes (1,n) by moving the two halves 20 cells away from each other, although other slopes seem more complicated

Code: Select all

``````x = 118, y = 105, rule = B1e2-ak3aejkn4-aikry5cnqy6-ik8/S1e2ikn3-er4-ijwyz5-ace6ekn
\$73b2o7b2o\$73b2o7bobob2o\$82b2o2b2o\$74bo\$73bobo\$73b3o3\$85b3o\$85bobo\$86b
o2\$78b2o5b2o\$74b2obobo5b2o\$74b2o2b2o6\$53b2o27b2o\$53b2o27bobob2o\$82b2o
2b2o\$54bo\$53bobo\$53b3o3\$85b3o\$85bobo\$86bo2\$58b2o25b2o\$54b2obobo25b2o\$
54b2o2b2o6\$33b2o47b2o\$33b2o47bobob2o\$82b2o2b2o\$34bo\$33bobo\$33b3o3\$85b
3o\$85bobo\$86bo2\$38b2o45b2o\$34b2obobo45b2o\$34b2o2b2o6\$13b2o67b2o\$13b2o
67bobob2o\$82b2o2b2o\$14bo\$13bobo\$13b3o3\$85b3o\$85bobo\$86bo2\$18b2o65b2o\$
14b2obobo65b2o\$14b2o2b2o!``````

Code: Select all

``````x = 19, y = 37, rule = B3/S23
13b3o\$12b4o\$11b2obobo\$13bobo\$15bo12\$10b2o\$bobo7bobo\$o7b2o3b2o\$o3bo2b3o
3bo\$o6b4obo\$o2bo7bo\$3o12bobo\$18bo\$14bo3bo\$14bo3bo\$18bo\$9bo5bo2bo\$8b3o
5b3o2\$10bo\$2bobo4b2o\$5bo2b3o\$5bo2b3o\$2bo2bo2b2obo\$3b3o3b3o\$10bo!``````

AforAmpere
Posts: 1348
Joined: July 1st, 2016, 3:58 pm

### Re: Rules with small adjustable spaceships

nc/(6n+5), n>=1:

Code: Select all

``````x = 16, y = 27, rule = B2ek3eijry4t5eiy6ci/S02ai3aiy4t5ey6ci
15bo\$10b4o\$15bo4\$12bo\$7b4o2b3o\$12bo4\$10bo4bo\$5b4o2b3o\$10bo4bo4\$7bo4bo\$
2b4o2b3o2b3o\$7bo4bo4\$5bo4bo4bo\$4o2b3o2b3o\$5bo4bo4bo!``````
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.