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

For discussion of other cellular automata.
yujh
Posts: 2173
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了，但是我不知道我在哪里
Contact:

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

Code: Select all

``````x = 12, y = 15, rule = B3ai4ekqy5cy6cn8/S2-ci3-ace4inr5eqry7-e8
3b2o\$3bobo\$3b3o\$3o\$obo\$b2o2\$9b2o\$9bobo\$9b3o3\$4b3o\$4bobo\$5b2o!``````
22cell,(4,24)c/128, known?

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

yujh wrote:
April 5th, 2021, 3:53 am

Code: Select all

``````x = 12, y = 15, rule = B3ai4ekqy5cy6cn8/S2-ci3-ace4inr5eqry7-e8
3b2o\$3bobo\$3b3o\$3o\$obo\$b2o2\$9b2o\$9bobo\$9b3o3\$4b3o\$4bobo\$5b2o!``````
22cell,(4,24)c/128, known?
Check your copy of the database; we already have one with 6 cells:

Code: Select all

``````#C 6, B3-cnqy4ej5cr6c/S2-i3-ak4einrtz5-iqy6-ik7c, 24, 4, 128, 3o\$2bo\$b2o!
x = 3, y = 3, rule = B3-cnqy4ej5cr6c/S2-i3-ak4einrtz5-iqy6-ik7c
3o\$2bo\$b2o!
``````

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!

HelicopterCat3
Posts: 256
Joined: October 16th, 2020, 10:27 am

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

6 cell 3c/106!

Code: Select all

``````x = 3, y = 3, rule = B2in3-jn4ejtw5i6ak/S2-i3-eqr4-jknty
3o\$obo\$bo!
``````

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

HelicopterCat3 wrote:
April 5th, 2021, 1:42 pm
6 cell 3c/106!

Code: Select all

``````x = 3, y = 3, rule = B2in3-jn4ejtw5i6ak/S2-i3-eqr4-jknty
3o\$obo\$bo!
``````
But we already have this one with 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2kn3-ejny4iknqtw5-eikq6ce7c/S01e2aei3-aceq4eikty5-cer6ck
2o2\$bo!
``````

Code: Select all

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

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

1 new and 13 improved speedss out of 14 ships found after 11.5M rules.

Code: Select all

``````# Search results matching pattern 2bo\$b2o\$obo! for 20 gen in rule B2e3acijq4acejkyz5-ak6aci78/S2aci3r4-enq5-ij6-ai with searchRule-matchPatt2.py using seed=1
5, B2ei3acijq4aejkyz5-akr6-ek/S2aci3ikry4-ejknq5-acij6-ae8, 20, 4, 109, b2o\$o2bo\$2bo!
5, B2e3aijq4ajkqyz5cjnq6-kn7/S2-ek3r4-cenqy5-aijq67c8, 21, 2, 75, b2o\$o2bo\$2bo!
5, B2ei3aijq4aejkwyz5-ary6-k7e/S2aci3ir4-jknqy5-ijk6-in7c8, 14, 2, 192, b2o\$o2bo\$2bo!
5, B2ei3-enry4-inrtw5-aey6-k7/S2-ek3cr4aikrtz5ekqry6ack8, 19, 7, 95, b2o\$o2bo\$2bo!
5, B2ei3aijq4aejkwyz5-acir6aci8/S2-ek3ir4-cnqwy5eqry6cik7c, 18, 2, 40, 2bo\$b2o\$obo!
7, B2ei3aijkq4acejkyz5ijnqr6aci7/S2aci3cikry4-jknqy5cekr6-an7c, 35, 2, 100, b2o\$bobo\$3o!
8, B2ei3aijq4-einrt5ijnq6aci/S2-ek3cikr4-ceknq5aenry6-a7c8, 24, 17, 264, 2bo\$o3bo\$b4o\$4bo!
5, B2e3aijq4ajkqwyz5eijnq6-ek8/S2aci3kry4-cknqw5-cijk6-a7c8, 28, 3, 126, b2o\$o2bo\$2bo!
5, B2e3aijkq4acjkyz5-air6-kn7/S2aci3cir4-cnqwy5-cijk6-an, 28, 4, 131, b2o\$o2bo\$2bo!
5, B2e3-enry4acjkyz5jnqry6-kn7e8/S2-ek3iry4-knq5aeqr6cek7c, 12, 5, 191, b2o\$o2bo\$2bo!
5, B2ei3acijq4ajkwyz5-acky6aci7/S2-ek3cr4-cnqw5ceqry6eik, 68, 0, 220, 2bo\$o2bo\$b2o!
8, B2ei3aijkq4aejkyz5-ar6-ek8/S2-ek3ciry4aijrtyz5ceqr6cek7c, 22, 1, 210, 3bo\$4o\$o2bo\$bo!
6, B2ei3aijq4acjkqyz5-air6-ek7e/S2aci3cikr4-ejnqy5-ijnq6-ce8, 26, 10, 128, bo2bo\$o3bo\$3bo\$2bo!
8, B2ei3aijkq4-inrt5cjnqr6-k/S2-ek3ikr4-eknq5er6ikn8, 33, 1, 319, 3bo\$4o\$o2bo\$bo!
``````

Code: Select all

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

The latest edition of new-gliders.db.txt and oscillators.db.txt have 31531 spaceships and 1293 oscillators from outer-totalistic rules. You are invited to help!

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

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

Improved 2c/2246, 25 cells:

Code: Select all

``````x = 6, y = 8, rule = B2n3-k4cjq5ek67/S3-jk4aikqrty5ckry678
b2o\$3bo\$b4o\$b4o\$5o\$b5o\$2b3o\$3bo!
``````
541c/2190d, 29 cells:

Code: Select all

``````x = 11, y = 6, rule = B3-k4ejq5e6-e7/S2n3-jk4-cjnwz5cry678
bo5bo\$bo2b5o\$obob6o\$5b6o\$4b6o\$8bo!
``````
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: 641
Joined: February 18th, 2021, 11:18 am

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

I only stopped because I had to restart my computer:

Code: Select all

``````# Search results matching pattern 2bo\$2o\$bo! for 17 gen in rule B3-cey4ejk5cqry6ae8/S2-ci34cinqtz5einr6ckn7e8 with searchRule-matchPatt2.py using seed=1
11, B3-ceqy4cejkty5cnqry6ae/S2-ci34cintz5einr6e7e8, 14, 14, 335, o2b3o\$2bo2bo\$2bo2bo\$3b2o2\$5bo!
4, B2i3-cekq4cejktz5cjqr6aei7c/S2-ci34inz5eknr6cen7e, 8, 8, 319, 2bo\$2o\$bo!
20, B3-ceqy4ejkq5cqr6ae7c/S2-ci34inqz5ejknr6ae7c8, 7, 7, 373, 3bo\$bobobo\$b2o3bo\$obo\$2o4b2o\$4b2o\$3bob2o\$3b2o!
10, B2i3aijnr4cejktz5cnqry6aei7c/S2-ci34cinqz5einr7, 3, 3, 367, o\$bo\$bo\$bo\$o4\$6b3o\$5bo3bo!
16, B2i3-ceq4ejknyz5cqry6aei7c/S2-ci34cinqz5enr6ae, 8, 8, 497, 2bo\$b3o\$obo\$o\$bo\$7bo\$6b3o\$4bo2bo\$5b2o!
14, B3-cekq4ejknqtz5cnqry6ae7c/S2-ci34cinqz5eiknr6e7c, 10, 10, 187, 3o\$obo\$obo\$3b3o\$5bo\$3b3o!
10, B2i3-ceq4ejknt5cjqr6ae7c/S2-ci34intz5eknr6e7c8, 5, 5, 387, b2o\$o2bo\$2obo\$3o!
6, B2i3aijnr4cejkqy5cnqry6ae7c/S2-ci34intz5ejknr6cek8, 12, 12, 193, bo\$3o\$2o!
22, B3-ceq4cejknt5-aiky6ae/S2-ci34cinqz5enr6e7, 11, 11, 213, 3o\$o2bo\$o2bo\$4o2\$5b3o\$5bo2bo\$5bo2bo\$5b4o!
6, B3-cey4cejkq5cqr6aei7c/S2-ci34intz5ejknr7c8, 13, 13, 227, 3o\$2bo\$obo!
4, B3-ceqy4ejkqtyz5cqr6aei7c/S2-ci34inz5ejnr6akn7e, 5, 5, 173, 2bo\$2o\$bo!
28, B3-ceqy4cejkqtz5cenqr6ae7c/S2-ci34inqtz5eknr6a7c8, 14, 14, 239, 15bo\$14b3o\$13bobo\$13bo\$14bo\$20bo\$19b3o\$17bo2bo\$18b2o3\$8bo\$6bobo\$7bob2o\$8bo\$9bo4\$obo2\$obo!
9, B3-ceq4cejkqyz5-aijk6ae7c/S2-ci34cinqtz5-acqy6e, 9, 9, 513, 10b2o\$10b2o8\$2bo\$2o\$2o!
6, B3-ceqy4ejkty5cjqr6ae8/S2-ci34inqtz5ejknr6cn, 1, 1, 395, bo\$3o\$2o!
11, B3-ceqy4cejkn5cenqr6ae/S2-ci34inqz5enr6aen7c, 10, 10, 343, bo\$ob2o\$ob2o\$bo2bo\$2b2o!
51, B3-ceqy4-airtw5cqr6ae/S2-ci34cintz5ejnr6k, 2, 2, 665, 5bo\$5b2obo\$4b4obo\$4bo4bo\$3b2o2bob3o\$2ob2o7bo\$o2b2o4bobo\$obo8b2o\$bo9b3o\$3bo3b5o\$4bo2b3o\$6bo\$5bo2bo\$6b3o!
11, B2i3-ce4cejknty5cjqry6aei/S2-ci34inqtz5enr, 22, 22, 279, 3o\$o2bo\$o2bo\$4o!
20, B2i3-cekq4ejknqty5cenqr6ae7c/S2-ci34inqtz5enr6n7c8, 9, 9, 265, 2bo\$b3o\$bob2o\$2b2o\$o\$7bo\$6b3o\$6bob2o\$7b2o\$5bo!
25, B3-ceqy4cejkqtz5cenqr6aei/S2-ci34inqz5ejknr6kn7e8, 8, 8, 345, 2o\$2obo\$3o\$bo2b2o\$3bobo\$3b2o2bo\$2bo3bo\$5b4o\$6b3o!
18, B3-ceky4ejkqtyz5cjqr6aei7c/S2-ci34cinqtz5eknr6e, 23, 23, 385, 6bo\$bo4bo\$2o4b2o\$6b3o\$6b5o5\$8b2o\$8bo!
18, B3-cey4ejknqt5cjnqr6ae/S2-ci34inqtz5enr6ek7e8, 10, 10, 323, bo\$3o\$bobo\$2b2o\$2bo2\$6b2o\$5b2obo\$7b3o\$8bo!
16, B3-ceq4cejkqz5cejqr6ae7c/S2-ci34cinqz5eknr6-ci8, 5, 5, 371, 2bo\$b3o\$obo\$o\$bo\$7bo\$6b3o\$4bo2bo\$5b2o!
6, B3-ceq4ejknqt5-aikn6aei7c/S2-ci34inqtz5eknr7c, 14, 14, 261, bo\$3o\$2o!
6, B3-ceq4cejkqt5cqr6aei/S2-ci34inqtz5eknr78, 14, 14, 371, 3o\$2bo\$obo!
16, B3-ceqy4ejkqt5-aeik6ae7c/S2-ci34cinqtz5ejnr6ek7, 15, 15, 229, 7b3o\$7bo2bo\$7bo2bo\$7b4o5\$3o\$2bo\$2bo!
16, B2i3-cey4cejkqyz5cjqr6aei7c/S2-ci34cinqz5eknr6n8, 10, 10, 219, b2o\$2obo\$2b2o\$2bo4\$8b2o\$7b2obo\$9b2o\$9bo!
41, B3-ceq4cejkqty5cenqr6aei/S2-ci34inqtz5ejknr6k, 11, 11, 247, 4b3o\$2bob3o\$3b3o2b2o\$bo5b2obo\$2o6b3o\$6bo2bo\$4b2obo3b2o\$6bo3b3o\$6bo3b3o\$10bo\$11bo\$8b2o\$8bo!
4, B2i3-ceqy4cejkty5cjqry6aei7c/S2-ci34cinz5ejnr6ae7e, 9, 9, 197, 2bo\$2o\$bo!
4, B2i3-ceqy4ejknty5ceqry6ae/S2-ci34cinqz5eknr7, 5, 5, 261, 2bo\$2o\$bo!
14, B2i3-cek4cejkq5ceqry6aei7c/S2-ci34inz5enr6ek7c, 5, 5, 347, 4b2o\$4bobo\$bo3b2o\$2o\$o\$3b2o\$2b2o!
4, B2i3aijnr4cejknqz5cqr6ae7c/S2-ci34intz5ejnr6ekn8, 9, 9, 259, 2bo\$2o\$bo!
5, B3-ceky4ejkqy5cenqr6aei7c/S2-ci34cinqz5eknr6ae7c, 11, 11, 171, 2bo\$2o\$2o!
14, B3-cekq4ejknq5cnqr6aei7c/S2-ci34cinz5eknr6akn7e8, 8, 8, 259, 7bo\$6b3o\$o5bobo\$9b2o\$10b2o\$9b2o6\$9bo!
8, B2i3-ceqy4cejkqyz5ceqr6ae7c/S2-ci34cinqz5eknr6ae8, 1, 1, 367, 3b3o\$5bo\$3bobo\$o2\$2bo!
10, B3-ceqy4cejkn5cjnqr6aei/S2-ci34inqz5ejnr6ekn7e, 7, 7, 269, b2o\$o\$2o3\$7bo\$5bobo\$5b2o!
20, B2i3-ceq4cejkyz5-aeik6aei7c/S2-ci34inqz5ejnr7e, 4, 4, 273, 2bo\$b3o\$bob2o\$2b2o\$o\$7bo\$6b3o\$6bob2o\$7b2o\$5bo!
6, B3-ceky4-airwz5cjqry6aei7c/S2-ci34inqz5eknr6n7e8, 7, 7, 303, 3o\$2bo\$obo!
6, B2i3-ceqy4cejknqt5-aeik6aei/S2-ci34cinqtz5ejknr, 9, 9, 399, 3o\$2bo\$obo!
4, B2i3-ceq4cejktz5-aik6aei7c/S2-ci34inz5ejnr6k8, 12, 12, 131, 2bo\$2o\$bo!
4, B3-ceqy4cejkqt5cqr6ae7c/S2-ci34cinqtz5enr6an7e, 12, 12, 191, 2bo\$2o\$bo!
4, B2i3-ceqy4ejkt5cnqry6ae7c/S2-ci34inz5ejnr6aen7e, 10, 10, 177, 2bo\$2o\$bo!
8, B3-ceq4cejky5cnqr6ae7c/S2-ci34cinz5eijnr6k8, 11, 11, 245, 6b2o\$o3bob2o2\$6bo4\$6bo!
81, B3-ceky4cejkqty5cejqr6ae7c/S2-ci34intz5eknr6k, 21, 21, 129, 14b3o\$14bobo\$13b4o\$13b2o2\$8bo10b3o\$6b4o9bobo\$4bo4b2o7b4o\$2o3bo12b2o\$2bo2b2o\$bo\$b2o3bobo5bo\$2bo3bob2o4b2o\$4bobo2b2o4b2o\$3bob2o8bo\$7b4obo2bo\$2bo2bobo4b2o\$8bo5bo\$3bo3bo\$5bo3b2obo\$10b2obo\$13bo!
16, B3aijnr4cejkqz5cenqr6aei7c/S2-ci34inz5eknr6-ci7c8, 6, 6, 405, 2b3o\$2bo2bo\$bo3bo\$o3b2o\$2obo\$3o!
6, B3-ceqy4-airwy5cjqr6aei/S2-ci34cinqz5enr6aen8, 14, 14, 435, bo\$3o\$2o!
32, B2i3-ceq4-ainrw5cjqr6aei7c/S2-ci34cinz5ejknr6e, 8, 8, 215, 3bo\$bo2\$o\$b4obo2b3o\$4bo4b3o\$2b2o2bo3b2o3\$9bobo2\$10b2o\$9bobo3bo\$9bobo\$11bo2bo\$12bo!
10, B2i3-ceqy4cejk5-aik6aei/S2-ci34cinqtz5ejknr6kn7e, 11, 11, 311, b2o\$o2bo\$2obo\$3o!
5, B2i3-ceqy4ejkn5-aikn6aei/S2-ci34cinqz5ejnr6n8, 1, 1, 241, 2bo\$2o\$2o!
6, B2i3-ceq4cejkqz5cenqr6ae8/S2-ci34intz5ejknr6ck, 12, 12, 173, 3o\$2bo\$obo!
34, B3-ceqy4ejkqy5cjnqr6ae7c/S2-ci34inqz5ejknr6ek78, 7, 7, 265, 14bo\$13b3o\$13bobo\$16b2o\$17b2o\$16b2o3\$6b2o2\$4o3bo\$o7bobo\$3o7bo3\$8bo\$6bobo\$6bobo\$6b3o!
6, B3-ceq4ejknq5ceqry6aei/S2-ci34cinqtz5ejnr6ce, 11, 11, 185, bo\$3o\$2o!
7, B2i3-ceqy4ejkqtz5-aiky6aei7c/S2-ci34cinqz5ejnr6n7c, 3, 3, 605, b3o\$3bo\$bobo\$o!
6, B3-ceqy4cejknqz5-aeik6aei/S2-ci34cintz5eknr6ae7, 19, 19, 349, 3o\$2bo\$obo!
6, B3-ceqy4cejkqt5cjqry6aei/S2-ci34inqtz5enr6ae7e8, 12, 12, 203, 3o\$2bo\$obo!
25, B3-ce4cejk5cenqr6ae/S2-ci34cintz5eknr6ae8, 5, 5, 453, bo\$3o\$obo\$3b2o\$4b2o\$3b2obo\$4b4o\$5bobo\$8b2o\$9b2o\$8b2o!
6, B2i3-ceq4cejknqt5cjnqr6ae/S2-ci34inz5eknr6en7, 12, 12, 231, bo\$3o\$2o!
6, B3-cek4cejknz5cjqr6aei7c/S2-ci34inz5ejnr78, 7, 7, 283, 3o\$2bo\$obo!
34, B2i3-cekq4ejkqyz5cejqr6ae7c/S2-ci34cinz5eknr6akn, 5, 5, 389, 16b2o\$2b2o12b2o\$o3bo\$obobo\$bob2o\$21b2o\$21b2o\$12b2o\$12bo\$15bo\$14b2o8\$18b3o\$18bo2bo\$19bobo\$18bo\$19b2o!
6, B2i3aijnr4cejkt5cenqr6ae7c/S2-ci34cinqtz5einr6e8, 15, 15, 261, bo\$3o\$2o!
4, B2i3-ceq4cejkz5cqr6aei7c/S2-ci34cintz5eknr6aek8, 14, 14, 223, 2bo\$2o\$bo!
5, B2i3-ceqy4cejk5cejqr6ae/S2-ci34cinqtz5enr6aen7c, 15, 15, 275, 2bo\$2o\$2o!
16, B3-cekq4cejkqz5cjnqr6ae7c/S2-ci34cinqz5eknr6akn7e8, 11, 11, 235, 2bo\$b3o\$obo\$o\$bo\$7bo\$6b3o\$4bo2bo\$5b2o!
6, B2i3-ceqy4cejkty5cjqr6aei/S2-ci34inqz5ejknr7, 2, 2, 373, 3o\$2bo\$obo!
16, B2i3-ceq4ejkqy5cjqr6ae7c/S2-ci34cinqz5eknr6a8, 9, 9, 463, 2bo\$b3o\$obo\$o\$bo\$7bo\$6b3o\$4bo2bo\$5b2o!
11, B3-cek4ejktyz5-aiky6ae7c/S2-ci34inqz5enr6en7c8, 3, 3, 255, 3o\$o2bo\$o2bo\$4o!
6, B3-ceq4ejkqy5cnqr6ae7c/S2-ci34intz5enr6cen7e8, 7, 7, 219, bo\$3o\$2o!
11, B2i3-ceqy4cejkqtz5cqr6aei7c/S2-ci34cinz5ejknr6e7c8, 9, 9, 361, bo\$3o\$o\$2bobo\$4b2o\$3b2o!
``````

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!
``````

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

wwei47 wrote:
April 7th, 2021, 10:38 am
I only stopped because I had to restart my computer:

Code: Select all

``````# Search results matching pattern 2bo\$2o\$bo! for 17 gen in rule B3-cey4ejk5cqry6ae8/S2-ci34cinqtz5einr6ckn7e8 with searchRule-matchPatt2.py using seed=1
<67 ships>
``````
Check your database — I found only the following records:

Code: Select all

``````# 5S collection updated - 2 new and 6 improved speeds out of 67 ships.
# Diagonal speeds updated:
# [(23, 23, 385), (9, 9, 513)]
# [(14, 14, 223), (9, 9, 259), (5, 5, 261), (15, 15, 275), (8, 8, 319), (8, 8, 497)]
18, B3-ceky4ejkqtyz5cjqr6aei7c/S2-ci34cinqtz5eknr6e, 23, 23, 385, 8b2o\$8b2o4\$7b3o\$6bo2bo\$5bo\$2o3bo2bo\$2o3b2o!
9, B3-ceq4cejkqyz5-aijk6ae7c/S2-ci34cinqtz5-acqy6e, 9, 9, 513, 2o\$2o8\$9bo\$10b2o\$10b2o!
4, B2i3-ceq4cejkz5cqr6aei7c/S2-ci34cintz5eknr6aek8, 14, 14, 223, bo\$2o\$2bo!
4, B2i3aijnr4cejknqz5cqr6ae7c/S2-ci34intz5ejnr6ekn8, 9, 9, 259, bo\$2o\$2bo!
4, B2i3-ceqy4ejknty5ceqry6ae/S2-ci34cinqz5eknr7, 5, 5, 261, bo\$2o\$2bo!
5, B2i3-ceqy4cejk5cejqr6ae/S2-ci34cinqtz5enr6aen7c, 15, 15, 275, 2o\$2o\$2bo!
4, B2i3-cekq4cejktz5cjqr6aei7c/S2-ci34inz5eknr6cen7e, 8, 8, 319, bo\$2o\$2bo!
16, B2i3-ceq4ejknyz5cqry6aei7c/S2-ci34cinqz5enr6ae, 8, 8, 497, 5b2o\$4bo2bo\$6b3o\$7bo\$bo\$o\$obo\$b3o\$2bo!
``````

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!

wwei47
Posts: 641
Joined: February 18th, 2021, 11:18 am

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

LaundryPizza03 wrote:
April 7th, 2021, 12:30 pm
Check your database — I found only the following records:
That's strange, I thought that searchRule-matchPatt2 only printed records.

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

(7,3)c/16 seems to be new, 7 cells:

Code: Select all

``````x = 6, y = 6, rule = B2ace3cq4knqwz5einr7c/S2-ce3ceqr4aijtwz5ery6ac
2bo\$bo\$o4bo\$5bo\$4bo\$5bo!``````
(17,15)c/32, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqw5jy6ik7e/S01e2n3-cinq4acqrty5acinr6i
5bo2\$o3bo\$4bo!``````
(16,11)c/30, 8 cells:

Code: Select all

``````x = 12, y = 11, rule = B2acn4iqtwy5cjqy6i/S01e2n3acekr4ajnrtw5cinr6i
2bo\$bobo\$o5\$11bo2\$6bo3bo\$10bo!``````
25c/62d, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqty5ajkqy6a/S01e2n3aejkr4aciknr5inqy6k
5bo2\$o3bo\$4bo!
``````
Better (10,5)c/26, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4cikqty5acjy6n/S01e2n3-einq4ainqr5iknqy
5bo2\$o3bo\$4bo!
``````
(10,7)c/26, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4ikqty5ejqy6ac7c/S01e2n3-einq4aijkrw5cin
5bo2\$o3bo\$4bo!
``````
Improved (11,7)c/33, 4 cells:

Code: Select all

``````x = 4, y = 6, rule = B2acn4ceiqwy5aejy6-en7e/S01e2n3aekry4-jntyz5eiknr6k
2bo4\$2b2o\$o!
``````
(15,6)c/31, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqtwy5jy6acn/S01e2n3acjkr4aeijknr5cin6n
5bo2\$o3bo\$4bo!
``````
(11,8)c/26, 8 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4cikqty5ejqy6cik/S01e2n3acekr4-cetw5iny
5bo2\$o2b3o\$3b3o!
``````
(10,8)c/27, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4cikqty5-cinr6-e7c/S01e2n3-inq4acir5-ajr6n
5bo2\$o3bo\$4bo!
``````
28c/78d, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqty5ejqy6ck7e/S01e2n3acjkr4-ntwy5-jk
5bo2\$o3bo\$4bo!
``````
46c/80, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4cikqtwy5-inqr6a/S01e2n3-ijnq4-cejwy5-ejk6i
4bo\$o3bo2\$5bo!
``````
31c/76d, 4 cells:

Code: Select all

``````x = 4, y = 4, rule = B2acn4iqy5acjqy6ei7e8/S01e2n3aejkr4acikrwy5-acjq6i
3bo\$o\$2bo\$2bo!
``````
26c/72d, 4 cells:

Code: Select all

``````x = 4, y = 4, rule = B2acn4iqtwy5acjky6ac7e/S01e2n3ajkry4aeinqr5aciny6ik
3bo\$o\$2bo\$2bo!
``````
36c/70, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4ikqwy5jy6cei/S01e2n3acjkr4aijnrwy5einr6k
5bo2\$o3bo\$4bo!
``````
Improved 19c/62d, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4ikqy5jy6-en/S01e2n3ajkr4acinry5-jkqy6n
5bo2\$o3bo\$4bo!
``````
21c/56d, 9 cells:

Code: Select all

``````x = 8, y = 4, rule = B2acn4ceikqwy5cjqy6ac7/S01e2n3-cinq4aiknrw5-jkry6n
o5bo\$7bo\$4bob2o\$4bob2o!
``````
22c/56d, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqty5cjy6ak7/S01e2n3ajkry4aijrwyz5ceinq
5bo2\$o3bo\$4bo!
``````
23c/56d, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4-ajnrz5jqy6-en/S01e2n3akry4-tyz5acinr6kn
5bo2\$o3bo\$4bo!
``````
19c/54d, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqtwy5cjqy6a7c/S01e2n3acjkr4aceijqr5-jky6i
5bo2\$o3bo\$4bo!
``````
28c/50, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4eiqty5acjqy6-ei7e/S01e2n3-inqy4aikqrz5ciknr
5bo2\$o3bo\$4bo!
``````
17c/42d, 8 cells:

Code: Select all

``````x = 7, y = 5, rule = B2acn4eiqy5ajky6eik8/S01e2n3ajkr4-cetwz5inqr
o\$2bo2bo\$o\$2bo\$4b3o!
``````
(17,11)c/38, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqty5ajkqy6ac7/S01e2n3acjkr4aikqr5-aejq6k
5bo2\$o3bo\$4bo!
``````
(20,12)c/37, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4ikqwy5aejqy6ci7e/S01e2n3acjkr4-ejtw5-jkqy6ikn
5bo2\$o3bo\$4bo!
``````
Improved (11,9)c/36, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4eikqty5ajy6acn7/S01e2n3-cinq4acijqrz5-jqy6kn
5bo2\$o3bo\$4bo!
``````
Improved (9,7)c/34, 4 cells:

Code: Select all

``````x = 4, y = 4, rule = B2acn4ceikqwy5ejy6a/S01e2n3ajkr4acinqr5inqy6k
3bo\$o\$2bo\$2bo!
``````
Improved (12,6)c/34, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4eiqwy5acjy6cei7e/S01e2n3aejkr4airw5inr6ik
5bo2\$o3bo\$4bo!
``````
(16,9)c/34, 4 cells:

Code: Select all

``````x = 4, y = 4, rule = B2acn4iqwy5ejqy6ain7e/S01e2n3aejkr4-ejqt5iknqy6kn
3bo\$o\$2bo\$2bo!
``````
(12,9)c/28, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4iqty5acjy6ack7c/S01e2n3ajkr4aciknrz5-aejk
5bo2\$o3bo\$4bo!
``````
(13,7)c/28, 4 cells:

Code: Select all

``````x = 4, y = 4, rule = B2acn4-ajnrz5acejy6-ei7/S01e2n3ajkry4aeijr5-jkr6in
3bo\$o\$2bo\$2bo!
``````
(10,8)c/27, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4cikqty5-cinr6-e7c/S01e2n3-inq4acir5-ajr6n
5bo2\$o3bo\$4bo!
``````
(13,8)c/26, 4 cells:

Code: Select all

``````x = 6, y = 4, rule = B2acn4ikqty5cjqy6acn/S01e2n3-inq4aijkr5-ajry6n
5bo2\$o3bo\$4bo!
``````
(9,7)/23, 9 cells:

Code: Select all

``````x = 8, y = 4, rule = B2acn4ciqty5acjy6ac8/S01e2n3acjkr4aciknrz5-aejk6k
o5bo\$7bo\$4bob2o\$4bob2o!
``````
41c/82d, 6 cells:

Code: Select all

``````x = 11, y = 10, rule = B2acn4ceikqy5cejy6k7e/S01e2n3ajkr4akqrz5cein6i
o\$bo5\$10bo2\$5bo3bo\$9bo!
``````
All found with EPE.
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

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

22 new and 28 improved speeds out of 50 ships found after 14M candidate rules.

Code: Select all

``````# Search results matching pattern bo\$o2bo\$o2bo\$o2bo\$b3o! for 16 gen in rule B3-ceky4acikntw5cijy6ce/S2-ac3-cek4ceknq5kr6a7e with searchRule-matchPatt2.py using seed=1
8, B3-cek4-jryz5ejk6ekn7e/S2-ac3-ceky4-ajrwz6ai7e, 33, 12, 382, 4o\$o\$o2bo\$bo!
16, B3-ceky4-ijqrz5jkry6k7e/S2-ac3-ey4-aijrw5r6aei8, 9, 4, 323, 3bo\$bo3bo\$o5bo\$o3bobob2o\$6o!
10, B3-ceky4-cjryz5kn6eik/S2-ac3-eky4cknqtyz5kr6ae8, 27, 2, 299, 5o\$o\$o4bo\$bo2bo!
23, B3-ceky4aknqtwy5eijkr6in7e/S2-ac3-ey4eijknqz5ck6aei8, 22, 13, 458, 6bo\$5b3o\$4b4o2\$4bobo\$5bo\$5bo6\$bo2bo\$o4bo\$o\$6o!
50, B3-ceky4-cjqrz5eknry6ckn7e/S2-ac3-ce4ceiknqz5ck6ai7e, 39, 10, 349, 17b3o\$16bo\$16bo2bo\$10b2obo2bobo\$12b2o3bob2o\$2bo4bo5bo5b3o\$3obobo5bo8bo\$ob2o2b2o3bo\$ob3obo2b3o\$bobobo\$28bo\$28b2o\$28bo!
10, B3-cey4aikntwy5cikry6ck/S2-ac3-cey4eikqyz5c6ae7e, 47, 5, 782, 5bo\$4bo\$bo2b3o\$obo2bo\$2bo!
16, B3-ceky4-ijqrz5eijnr6-ak7e/S2-ac3-cey4kqyz5kr6ai7e8, 21, 13, 604, 2o\$b2o\$obo3bo\$2bo2b3o\$4bo2bo\$4bobo\$6bo!
25, B3-ceky4acekntw5eir6-e7e/S2-ac3-ce4jknqyz6ai7e, 23, 6, 436, b2o4bo\$2ob2o3bo\$b4o8b3o\$2b3o8bo2bo\$13bo2bo\$14b3o!
25, B3-ce4-jqryz5ikr6-a/S2-ac3-ce4ceknq5c6aei7e, 10, 7, 284, 7b2o\$7bo\$11bo\$11b3o\$12bo2\$6bo\$5bo\$7o\$o\$o4b2o\$bo\$3b3o!
9, B3-ceky4ackntw5cery6aek/S2-ac3-eky4knqyz5k6ae, 31, 1, 118, 4o\$o\$o3bo\$bobo!
17, B3-cey4-ijryz5jk6-n/S2-ac3-eky4ikqyz5kr6a7e8, 18, 15, 745, o4b2o\$6bo\$7b2o\$3bo3bo\$4b4o\$5bo2\$3bo2\$2b3o!
27, B3-cek4aikntwy5ejnr6cei7e/S2-ac3-ce4ceikq5r6ai7e8, 44, 2, 437, 4bo\$2bo3bo\$bo2bo2bo\$o4bobo\$ob6o2\$4bo\$3b3o\$3bo2bo\$3b4o3\$4bo!
8, B3-ceky4-ijryz5ijkn7e/S2-ac3-e4eijknqy6ai, 45, 45, 862, 3o\$o2bo\$o\$obo!
13, B3-cek4-jqrz5ckn6ce7e/S2-ac3-e4ejkqtyz5r6a, 48, 9, 238, obo\$3b2o\$3b2o\$obo2bo\$2bo2bo\$2bo2bo!
8, B3-cek4-cijrz5eijry6-an7e/S2-ac3-ey4ekqty5c6ae7e, 18, 8, 205, 4o\$o\$o2bo\$bo!
25, B3-ce4acikntw5iry6-c/S2-ac3-cey4cejknqz6a, 12, 6, 455, bob3o\$3o3bo\$bo4bo\$bobobo\$2b4o\$o2bobo\$b2o6bo\$9bo\$9bo!
10, B3-ceky4acikntw5ceny6ac7e/S2-ac3-ceky4iknqyz5ck6ai7e8, 66, 0, 1798, bo2bo\$o4bo\$o\$5o!
20, B3-cey4aekntw5cjnry6ai7e/S2-ac3-ceky4cijkqz5r6ai7e, 39, 5, 312, 23bo\$21bo\$24bo\$22bo2\$3b2o\$bo3bo\$o5bo\$o4bo\$5o\$5b2o\$6bo!
17, B3-cek4-cjrz5eknry6-ck/S2-ac3-eky4cijkqyz6aei, 24, 12, 251, b3o4bo\$bo2bobo2bo\$2o6bo\$2o4b2o\$4b2o!
8, B3-cey4aeknqtw5cekry6ei/S2-ac3-eky4eiknqt5ckr6ae, 28, 28, 1470, 3o\$o2bo\$o\$obo!
8, B3-ceky4-jrz5jry6-ac/S2-ac3-cey4ejknq5kr6ae7e, 94, 0, 464, bo\$o2bo\$o\$4o!
8, B3-ceky4-ejryz5ceijn6n7e/S2-ac3-cek4ceknqtz5r6ai8, 21, 2, 326, 4o\$o\$o2bo\$bo!
10, B3-cek4-ejrz5eijky6ace7e/S2-ac3-e4ejkqz5c6aei, 10, 8, 335, 6b4o\$6bo\$5b2o3bo\$8bo\$o!
8, B3-cek4-jryz5ejnry6ekn7e/S2-ac3-cek4cekqtyz5k6aei, 13, 7, 268, 4o\$o\$o2bo\$bo!
11, B3-ceky4acikntw5cknr6-ik/S2-ac3-ce4knqy5ckr6ae, 54, 9, 174, bo2bo\$o4bo\$o\$6o!
11, B3-cey4aekntwy5knr6-ae/S2-ac3-ce4eknqz6aei, 37, 8, 117, bo2bo\$o4bo\$o\$6o!
11, B3-ce4aekntw5cinr6ckn/S2-ac3-ceky4cikqyz6ae, 24, 20, 276, bo2bo\$o4bo\$o\$6o!
7, B3-cek4akntw5eiknr6a/S2-ac3-ce4ikqy6ae8, 33, 12, 453, 2bo\$b3o\$o\$2o!
13, B3-ce4akntwy5cekr6ik/S2-ac3-ey4eijkqy6a, 25, 13, 150, 2bo\$5o4\$bobo\$bobo\$2b3o!
10, B3-ce4acknqtw5eijry6n/S2-ac3-cek4jkqyz6aei7e, 24, 8, 583, bobo\$o3bo\$o2bo\$4o!
33, B3-ce4aekntwy5ejr6k/S2-ac3-ce4iknqy5ck6aei8, 9, 4, 559, bobo\$o3bo9bo\$o2bo2b3o4b3o\$3o4b2o3bo3b2o\$8b2o7bo\$8b2o7bo\$8bo3bo3bo\$13b3o!
8, B3-ceky4-cjrz5cer6-ik/S2-ac3-e4cekqt5kr6ae8, 21, 17, 265, 4o\$o\$o2bo\$bo!
8, B3-cey4-jqrz5nry6cn7e/S2-ac3-ek4cknqy6aei8, 17, 2, 352, 4o\$o\$o2bo\$bo!
10, B3-cey4aiknqtw5eijkr6ack7e/S2-ac3-eky4ekqt6aei8, 27, 13, 297, 5o\$o\$o4bo\$bo\$3bo!
15, B3-ceky4-cejrz5ceikr6-kn/S2-ac3-cey4eikq5r6ai, 23, 15, 231, 5b3o\$4bo\$ob2o3bo\$obo3bo\$2b2obo\$4bo!
7, B3-ceky4-cjqrz5ceny6ai/S2-ac3-ce4cijkqyz5r6aei, 25, 1, 213, 3b2o\$3bo\$3o\$2bo!
8, B3-ceky4aeikntw5cin6-ci7e/S2-ac3-ceky4eiknqz6ai8, 9, 5, 638, 4o\$o\$o2bo\$bo!
15, B3-cek4-ijryz5-aeq6-an/S2-ac3-cek4ejkqyz5cr6a, 25, 25, 2088, bo\$7bobo\$3o4bo2bo\$7bo\$7bo\$7bo2bo\$7b3o!
8, B3-cek4acekntw5cij6ei/S2-ac3-cey4ijknqty5cr6a8, 24, 2, 173, 2bo\$bo\$2o\$obo\$2o!
11, B3-ce4acekntw5jknr6a7e/S2-ac3-ceky4eikqyz5r6aei8, 24, 4, 325, bo2bo\$o4bo\$o\$6o!
16, B3-cey4-cijrz5enry6-e/S2-ac3-eky4eijkq5ck6a7e, 22, 8, 703, 8bobo8\$6o\$o\$o4b2o\$bo3bo\$3b2o!
40, B3-ce4akntw5-aqy6ikn/S2-ac3-e4ckqy6ae, 91, 91, 1644, 9bo\$9b2o14\$12bo\$10bo\$11b2obobo\$11b3o\$14b2o12\$4bo\$2bobo\$bo2bo\$3b2o\$o3bo2b2o\$o3bob2o\$o3bobo\$o3bo\$4bo\$bo2bo\$2b3o!
15, B3-ce4aekntw5cek6acn7e/S2-ac3-eky4ceikqtz6aei7e, 13, 12, 360, 10bo\$2bo7bobobo\$b2o7b3o\$2obo11bo\$2bo!
11, B3-ce4aknqtw5ekn6-an7e/S2-ac3-ceky4eijknqy5kr6aei7e, 19, 4, 279, bo2bo\$o4bo\$o\$6o!
8, B3-ceky4aiknqtw5ijnr6ac7e/S2-ac3-ceky4ceijkqt5r6ae7e, 48, 48, 682, 3o\$o2bo\$o\$obo!
9, B3-ceky4-jqrz5-anq6ikn/S2-ac3-ce4cekqyz5ckr6ae, 34, 3, 211, o\$bo\$bo\$3o\$o\$o\$bo!
26, B3-cek4-cjqrz5ejn6-ak/S2-ac3-cek4eikqyz5k6ae7e8, 17, 10, 345, 2bo\$3b2o\$2o\$2bo\$4b4o18b3o\$7b2o17bobo\$7b2o17bo2bo\$4bob2o19bo\$5bo!
8, B3-ce4ackntwy5jnry6cik7e/S2-ac3-cek4eijkq5c6ae7e8, 30, 30, 2020, bobo\$3bo\$o2bo\$b3o!
8, B3-ceky4ackntwy5ejnr6-cn/S2-ac3-ce4ejknqyz5c6a7e, 70, 0, 2778, bo\$o2bo\$o\$4o!
25, B3-cek4-cjqrz5ejkry6c7e/S2-ac3-ceky4eiknqz6ai8, 27, 3, 434, 6bob4o\$b2o3bo5bo\$2obobo5bo\$b3obo3b2o\$2b4o2bo!
``````

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!

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

A surprisingly versatile , returning 813 ships out of 30.01M rules. Unlike the c/3o search I mentioned previously, this rulespace seemingly favors irregular orthogonal speeds slightly faster than c/4o, and has more oblique and diagonal ships.
Highest period, 1906c/7624o:

Code: Select all

``````x = 244, y = 3, rule = B2n3aijqr4ejntwy5acnqy6ek7e8/S02aei3-acnq4-jkqwy5-cj6ain78
241bo\$239b2ob2o\$o240bo!
``````
I think this (271,1)c/1078 is a new record slope:

Code: Select all

``````x = 7, y = 3, rule = B2n3acijy4-aikry5-eir6ckn7/S02ae3-aknq4-cjqz5einqr6-ac8
2o2bo\$ob2ob2o\$bo2bo!
``````
I'll share an updated 5s database later.
Attachments
matchPatt2-test.txt
531 new and 198 improved speeds out of 813 ships

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!

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

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

LaundryPizza03 wrote:
April 9th, 2021, 1:21 pm
I think this (271,1)c/1078 is a new record slope:
It's not, but that's a beautiful ship.

2c/1475, 4 cells:

Code: Select all

``````x = 15, y = 3, rule = B2ek3ceik4acjz5acinq6ci8/S02-ei3aq4-aqz5ackn6ek8
2bo\$o13bo\$2bo!
``````
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

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

AforAmpere wrote:
April 9th, 2021, 2:57 pm
LaundryPizza03 wrote:
April 9th, 2021, 1:21 pm
I think this (271,1)c/1078 is a new record slope:
It's not, but that's a beautiful ship.
Then what are the current record slopes for closest to orthogonal and closest to diagonal?

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!

yujh
Posts: 2173
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了，但是我不知道我在哪里
Contact:

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

LaundryPizza03 wrote:
April 9th, 2021, 3:07 pm
AforAmpere wrote:
April 9th, 2021, 2:57 pm
LaundryPizza03 wrote:
April 9th, 2021, 1:21 pm
I think this (271,1)c/1078 is a new record slope:
It's not, but that's a beautiful ship.
Then what are the current record slopes for closest to orthogonal and closest to diagonal?
It’s this one by AforAmpere
AforAmpere wrote:
May 31st, 2020, 1:57 pm
Thank you for keeping up with things, LaundryPizza!

Here's a new slope record, I think, at (421,1)c/867:

Code: Select all

``````x = 12, y = 7, rule = B2in3-ck4cjz5ekny678/S2n3-jq4acikqrt5ceky678
8bo\$4b6o\$2bob7o\$o5b6o\$3b8o\$9bo\$5bo!``````

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

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

(8,2)c/17, 5 cells:

Code: Select all

``````x = 3, y = 3, rule = B2ac3cnqr4akn5qry6a7e/S1e2e3-aciq4acnqrwy5cqr6e
2bo\$bo\$3o!
``````
(9,1)c/18, 5 cells:

Code: Select all

``````x = 3, y = 3, rule = B2ac3cnqr4aekny5ejq6-i7/S1e2e3ejnry4acenryz5c6ci8
2bo\$bo\$3o!
``````
Improved (8,2)c/19, 4 cells:

Code: Select all

``````x = 3, y = 3, rule = B2ac3cnry4aknty5aqry6ei7e8/S1e2e3ejnry4acnrwy5cq6-an7
2bo2\$3o!
``````
(7,5)c/18, 5 cells:

Code: Select all

``````x = 3, y = 3, rule = B2aci3knqr4aknt5e6a7/S1e2e3enry4acenrwy5ciq6ace
2bo\$bo\$3o!
``````
(9,6)c/20, 4 cells:

Code: Select all

``````x = 3, y = 3, rule = B2aci3nqry4akntwz5e6ace7e/S1e2e3enry4acnry5ciq6k
2bo\$2bo\$obo!
``````
(9,1)c/19, 5 cells:

Code: Select all

``````x = 3, y = 3, rule = B2ac3cknr4akntz5eq6-ik7/S1e2e3-aciq4-ijktz5ciq6e7
2bo\$bo\$3o!
``````
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

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

16c/27o, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirt5jnqry6c/S1c2i3ijn4t6a7e
bo\$o\$bo!
``````
Maybe try EnumPattEvo with patterns like this one?

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!

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

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

LaundryPizza03 wrote:
April 11th, 2021, 7:45 pm
Maybe try EnumPattEvo with patterns like this one?
Good idea.

Improved 18c/30, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirt5-ceik6c8/S1c2i3ijn4jt5i6a7e8
bo\$o\$bo!
``````
18c/34, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirty5jnqry6c8/S1c2i3ijn4acejt5ak6aek7e8
bo\$o\$bo!
``````
18c/35, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirtw5jnqy6ck7e/S1c2ei3ijn4ct5a6ik78
bo\$o\$bo!
``````
Improved 20c/37, 5 cells:

Code: Select all

``````x = 6, y = 3, rule = B2acn3acek4aceirty5-eik6ace7e8/S1c2i3cijn4acjqty5aekr6aei7e8
4bo\$o3b2o\$4bo!
``````
19c/37, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirtw5jnr6acn8/S1c2ei3ijnq4cjntz5aei6ai7e8
o\$2o\$o!
``````
15c/27, 5 cells:

Code: Select all

``````x = 3, y = 3, rule = B2acn3acek4acirt5jnqy6c7e8/S1c2ei3ijn4cetz5ar78
obo\$2bo\$obo!
``````
17c/27, 5 cells:

Code: Select all

``````x = 5, y = 3, rule = B2acn3acek4acirt5-aeir6c8/S1c2ei3ijn4jtyz5nr6aik7
o3bo\$3bo\$o3bo!
``````
15c/28, 5 cells:

Code: Select all

``````x = 5, y = 3, rule = B2acn3acek4aciqrt5ajnqy6ck7c/S1c2i3aijnq4cejnqt5aei6eik7e8
o3bo\$3bo\$o3bo!
``````
17c/30, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aciqrt5jnqy6ck8/S1c2i3aijnq4cjtz5ainq6a78
o\$2o\$o!
``````
19c/30, 5 cells:

Code: Select all

``````x = 5, y = 3, rule = B2acn3acek4acirt5jknqy6ck7e8/S1c2i3aijn4aejntyz5ainq6i7e8
o3bo\$3bo\$o3bo!
``````
16c/31, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aciqrt5jnqy6c7c8/S1c2i3aijnq4cjnqty5air6ik78
o\$2o\$o!
``````
17c/31, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirt5jnqy6ck7e/S1c2i3aijn4cet5aeiq6kn7e
bo\$o\$bo!
``````
Improved 17c/33, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirtw5jnqy6ce8/S1c2ei3ijn4acetyz5ace6ikn78
bo\$o\$bo!
``````
18c/33, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aceirt5jnqy6ack7e/S1c2i3aijn4cetyz5aceiq6k7e8
o\$2o\$o!
``````
19c/33, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirtw5ajnqy6c8/S1c2ei3ijn4acjntz5ar6kn7e8
o\$2o\$o!
``````
Improved 20c/33, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aciqrtw5-eir6ac7e/S1c2i3aijnq4jnqtz5eiq6ik7
bo\$o\$bo!
``````
19c/34, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirt5jnqy6-ai7e/S1c2ei3aijn4cjnqtz5aeiqr6-c7e8
bo\$o\$bo!
``````
18c/37, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aciqrt5cjn6c78/S1c2ei3aijn4cetyz5acikn6a7e8
bo\$o\$bo!
``````
20c/38, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirt5-eik6-ei7/S1c2in3ijkn4cejt5air6aik7e8
o\$2o\$o!
``````
21c/38, 5 cells:

Code: Select all

``````x = 3, y = 3, rule = B2acn3acek4acirt5jnqry6cek8/S1c2in3ijn4acetz5aeq6ai7e8
obo\$2bo\$obo!
``````
Improved 19c/39, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aceirt5-eik6ace7/S1c2i3ijkn4cejtz5-jqry6-ci78
bo\$o\$bo!
``````
20c/39, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aceirtw5cjnqy6c7e/S1c2ei3ijn4aceqtz5akr6e7e8
bo\$o\$bo!
``````
22c/39, 3 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4acirt5jnqy6c7e/S1c2i3aijn4acet5aiq6k7e8
bo\$o\$bo!
``````
Improved 26c/42, 4 cells:

Code: Select all

``````x = 2, y = 3, rule = B2acn3acek4aceirtw5cjkny6ack7c8/S1c2ei3ijnq4qty5cenq6-cn7e8
o\$2o\$o!
``````
27c/48, 5 cells:

Code: Select all

``````x = 5, y = 3, rule = B2acn3acek4aceirtw5jnqy6ce/S1c2ei3ijn4aceqtz5enr6aei7e8
o3bo\$3bo\$o3bo!
``````
Improved 16c/29, 5 cells:

Code: Select all

``````x = 5, y = 3, rule = B2acn3acek4acirt5cjnq6ac8/S1c2ei3aijnq4qty5iknq7e
o3bo\$3bo\$o3bo!
``````
23c/39, 5 cells:

Code: Select all

``````x = 5, y = 3, rule = B2acn3acek4acirty5acjn6ce8/S1c2i3acijn4cety5aiknr6n7e
o3bo\$3bo\$o3bo!
``````
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

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

50M rules were tested in this rulespace, matching 8 generations of 2bo2\$b2o\$o! in B2ac3ny/S1.

Code: Select all

``````# 5S collection updated - 10 new and 1 improved speeds out of 11 ships.
# Diagonal speeds updated:
# [(15, 15, 34), (16, 16, 36), (15, 15, 40)]
# []
# Oblique speeds updated:
# [(8, 5, 16), (7, 5, 16), (6, 5, 16), (7, 4, 17), (10, 6, 18), (8, 6, 19), (8, 7, 22)]
# [(7, 4, 15)]
5, B2ac3ny4jnt5kry/S12e3-ajny4r5e, 15, 15, 34, 2bo\$o\$b2o\$o!
5, B2ac3ny4jt5jr6k/S13cjr4ackz5ek6k, 16, 16, 36, 2bo\$o\$b2o\$o!
5, B2ac3any4aet5acn/S12en3akr4iz5aei6a, 15, 15, 40, bobo\$2bo\$obo!
5, B2ac3any5acjn6a/S13jknr4rz5k6e, 8, 5, 16, 2bo\$o\$b2o\$o!
5, B2ac3ny4ajt5acj/S12en3ackr4jrz5acei7e, 7, 5, 16, 2bo\$o\$b2o\$o!
6, B2ac3nqy4nr5acry6k/S12e3knr4akrty5aq6ak, 6, 5, 16, o2bo2\$ob2o\$bo!
9, B2ac3ny4et5ny/S13aceir4jnrtyz5cej6e, 7, 4, 17, o2bo\$3obo\$4bo\$o3bo!
5, B2ac3any4ajq5acij/S12e3iqr4tz5e7e, 10, 6, 18, 2bo\$o\$b2o\$o!
6, B2ac3ny4aq5ik/S12e3-aijy4ry5j6k, 8, 6, 19, o2bobo\$bo2bo\$4bo!
5, B2ac3ny4et5a/S12n3cnr4rz, 8, 7, 22, 2bo\$o\$b2o\$o!
5, B2ac3any5iry/S12e3ir4t5r, 7, 4, 15, 2bo\$o\$b2o\$o!
``````

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!

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

13 new and 55 improved speeds oyt of 71 ships found after testing 2500000 candidate rules.

Code: Select all

``````# Search results matching pattern 2b6o\$3b3obo\$o2b3obo\$2bo2b3o\$3bo! for 7 gen in rule B2e3eijkr4ak5-j6ai7e8/S1c2-ai3j4-ak5acnqy6-e78 with searchRule-matchPatt2.py using seed=1
43, B2e3ijqr4aciqw5-j6a7e8/S1c2-ai3cj4-acek5-ijkr6-ei78, 1098, 0, 2196, 2bo\$o\$2bo\$3b2o\$36bo2b2o\$36bo4b6o\$37b2ob5obo\$37b8obo\$37bob3ob4o\$43bo\$39b2o!
34, B2e3eijkr4aeqwyz5-jk6ai7e8/S1c2-ai3cjy4-ack5acnq6-ei78, 1170, 0, 2340, 6b4o\$6bo2bo\$obob2o2b5o\$b3o2b5obo\$b3o5b2obo\$9b4o!
19, B2e3cijry4ak5-jk6ain7e8/S1c2cek3cj4-acjk5acenq6-ei78, 680, 0, 1360, bo\$o2b3o\$4obo\$4obo\$2b4o!
20, B2e3ijry4acy5-ejk6ai7e8/S1c2-ai3cejky4-ajk5-ijkr6-ei78, 269, 0, 538, 2bo\$bo2b3o\$2b3obo\$2b3obo\$2o2b3o\$2bo\$bo!
28, B2e3-anq4acey5-ej6a7e8/S1c2cek3jkqy4-akz5-ijkr6-ei78, 1106, 0, 2212, 6bo\$2b2obo2b3o\$2obo2b3obo\$o5b3obo\$o4b6o\$b2o!
15, B2e3cijqr4aek5-ej6ai7e8/S1c2-ai3j4-ak5-eijr6-e78, 1316, 0, 2632, 4bo\$ob4o\$bo2bobo\$4bobo\$3b3o\$4bo!
17, B2e3eijr4acewy5-ej6ain7e8/S1c2-a3cj4-acejz5acnq6-ei78, 710, 0, 1420, o\$2b3o\$3obo\$3obo\$b4o\$bo!
18, B2e3eijkr4acez5-ejk6a7e8/S1c2-ai3cjqy4-aejk5acknq6-ei78, 768, 0, 1536, ob4o\$2b2obo\$b3obo\$b5o\$bo!
20, B2ei3cijry4acey5-j6ain7e8/S1c2-a3ejk4-ajk5acknq6-ei78, 390, 0, 780, 4bo\$o2bo2b3o\$4b3obo\$4b3obo\$3b6o!
23, B2e3eijry4acikw5-ejk6an7e8/S1c2-an3cej4-acejk5acnq6-ei78, 1002, 0, 2004, 2b2o\$b2o2b3o\$ob4obo\$bob3obo\$2bo2b3o\$3bo!
20, B2ei3ceijr4acz5-ej6an7e8/S1c2-ai3jy4-ac5-eijr6-ei78, 1130, 0, 2260, 3bo\$2bo2b3o\$o2b3obo\$3b3obo\$2b6o!
18, B2ei3eijr4aw5-jk6an7e8/S1c2cek3cjy4inqrtwy5acnq6-e78, 666, 0, 1332, 2b5o\$bob2obo\$o2b2obo\$3b4o\$o!
20, B2e3ijr4ace5-ejk6a7e8/S1c2cek3cjky4-acjk5-eijr6-ei78, 902, 0, 1804, 6bo\$6bo\$5b5o\$o3bob2obo\$6b2obo\$5b5o!
18, B2e3eijr4aekqy5-ej6ai7e8/S1c2cek3j4-ak5acnqy6-e78, 544, 0, 1088, 2bo\$bo2b3o\$2b3obo\$3b2obo\$bob4o\$o!
20, B2ei3ijr4acq5-ej6a7e8/S1c2cek3cej4-ak5acnqy6-ei78, 577, 0, 1154, 4b3o\$2b3obo\$2b3obo\$2b5o\$obo\$2b2o!
20, B2e3-aenq4akz5-ej6a7e8/S1c2cek3jk4-aejk5acnqy6-e78, 1750, 0, 3500, bo\$3b3o\$2b2obo\$ob2obo\$6o\$bo\$b2o!
18, B2e3-acnq4akqw5-j6an7e8/S1c2-ai3cjqy4-aek5acenq6-ei78, 1510, 0, 3020, bo\$5o\$3obo\$b2obo\$5o!
39, B2ei3eijkr4aeiwyz5-j6a7e8/S1c2cek3cjk4-aekz5-eijr6-ei78, 166, 166, 726, 3o\$bo\$2bobo\$2bo\$2b3o\$b3obo\$2b2o\$2bo2bo\$2bo\$b4obo\$b4obo\$b4o\$bo2bo\$b4o!
22, B2e3cijr4aekz5-ej6ai7e8/S1c2-ai3ejky4-aejkz5acknq6-e78, 920, 0, 1840, b2o\$bo\$6o\$4obo\$b3obo\$3b3o\$bo!
21, B2e3ijkry4ace5-ej6ai7e8/S1c2cek3cejy4-acjk5-ijry6-e78, 590, 0, 1180, 3bo\$5b3o\$bob3obo\$b5obo\$o2b5o!
19, B2e3ijr4acqwy5-ej6ai7e8/S1c2cek3cjy4-acek5-eijr6-e78, 356, 0, 712, bo\$o2b3o\$b3obo\$b3obo\$6o!
20, B2ei3ijr4akqw5-ej6a7e8/S1c2-ai3jky4-acjk5acknq6-ei78, 962, 0, 1924, b5o\$b3obo\$b3obo\$6o2\$2bo!
18, B2e3eijry4acq5-ejk6a7e8/S1c2cek3jkqy4-aejk5-ijr6-ei78, 239, 0, 478, 2b4o\$ob2obo\$2b2obo\$b5o\$2bo\$2bo!
25, B2e3ijry4aekqz5-jk6a7e8/S1c2cek3jky4-acek5-ijr6-ei78, 1074, 0, 2148, 4bo2\$b7o\$bob3obo\$4b2obo\$2o2b4o\$3b2o2\$3bo!
21, B2e3-anqy4acewy5-ej6an7e8/S1c2-a3j4-ajkz5-ijkr6-e78, 521, 0, 1042, 3b5o\$2b4obo\$2o2b2obo\$bob5o!
23, B2ei3ijkry4acqyz5-jk6a7e8/S1c2cek3cejy4inqrtwy5-eijr6-ei78, 1012, 0, 2024, 5bo\$5bo\$4b5o\$o3b3obo\$obob3obo\$3bo2b3o\$4bo!
13, B2e3eijkr4acey5-ej6a7e8/S1c2-a3jk4-ajk5acenq6-e78, 167, 0, 334, 2bo\$b3o\$obobo\$2bobo\$b3o\$2bo!
23, B2e3cijr4aeiw5-j6ai7e8/S1c2-a3j4-acjkz5acknq6-e78, 1062, 0, 2124, 8bo\$8bo\$obo3b6o\$bo4bob2obo\$8b2obo\$7b5o!
17, B2e3ijr4aw5-jk6ai7e8/S1c2-an3cj4inqrtwy5acnqy6-ei78, 296, 0, 592, 5o\$3obo\$3obo\$2b3o\$o!
25, B2ei3-ackn4aewy5-ejk6an7e8/S1c2cek3jy4-aejk5acnqy6-e78, 1329, 0, 2658, 7bo\$7bo\$6b5o\$6b3obo\$ob3ob3obo\$5bo2b3o\$4bobo!
19, B2e3ijr4aciz5-jk6a7e8/S1c2-ai3jqy4-aejk5-eijr6-e78, 785, 0, 1570, 6o\$b3obo\$b3obo\$o2b3o\$bo!
19, B2e3ijkry4ace5-jk6ai7e8/S1c2cek3jq4-ak5acknq6-e78, 389, 0, 778, 6o\$b3obo\$b3obo\$o2b3o\$bo!
20, B2e3-aenq4awy5-j6an7e8/S1c2-ai3cejkq4-acejk5acknq6-ei78, 1406, 0, 2812, o6bo\$6bo2b3o\$7b3obo\$7b3obo\$6b6o!
19, B2e3-aknq4acekz5-j6an7e8/S1c2cek3j4-ack5acknq6-ei78, 462, 0, 924, 5bo\$bo3b4o\$obob3obo\$4bobobo\$6b3o\$4bo!
19, B2e3eijr4akqw5-ejk6an7e8/S1c2cek3jkq4-aj5-eijr6-ei78, 371, 0, 742, b5o\$4obo\$4obo\$2b4o!
20, B2e3-ackn4aceky5-jk6an7e8/S1c2-ai3cj4-acek5acknq6-ei78, 1632, 0, 3264, 3bo\$2bo2b3o\$o2b3obo\$3b3obo\$2b6o!
19, B2e3ijqr4aekq5-ejk6a7e8/S1c2-an3jk4-ajk5acnq6-ei78, 1106, 0, 2212, bo\$o2b3o\$b3obo\$b3obo\$6o!
18, B2e3eijry4aewy5-ejk6ai7e8/S1c2cek3cjy4-aejk5-ijry6-ei78, 378, 0, 756, 3b3o\$2b2obo\$b3obo\$6o2\$b2o!
26, B2ei3-aenq4aey5-j6an7e8/S1c2-ai3ej4-acjk5acnq6-e78, 1244, 0, 2488, 11b2o\$12bo\$o10b5o\$o10b3obo\$9b5obo\$10bob4o\$12bo!
19, B2e3cijry4ak5-ej6ai7e8/S1c2-ai3cjkq4-acjkz5acnqy6-ei78, 365, 0, 730, 2bo\$4b3o\$ob3obo\$2b3obo\$o2b4o\$3bo!
18, B2ei3ijkr4acekz5-ej6ain7e8/S1c2-ai3cjy4-acejk5-ijkr6-ei78, 363, 0, 726, bo\$bo\$5o\$b2obo\$b2obo\$5o!
20, B2ei3cijry4aew5-jk6ai7e8/S1c2cek3cj4-ajk5-eijr6-ei78, 302, 0, 604, 2b6o\$o2b3obo\$3b3obo\$2bo2b3o\$3bo!
22, B2e3-any4acei5-j6ain7e8/S1c2-ai3cj4inqrtwy5-ijry6-ei78, 499, 0, 998, 5b6o\$6b3obo\$o5b3obo\$5bo2b3o\$2o4bo!
28, B2e3-acny4aeq5-jk6ain7e8/S1c2-ai3j4-ak5acnqy6-e78, 1272, 0, 2544, 4bo\$o3bo\$o2b5o\$6obo\$o2b3obo\$obo2b3o\$bobo!
19, B2e3ijry4aekz5-ejk6a7e8/S1c2cek3cjkq4-acjkz5acenq6-ei78, 427, 0, 854, b2o\$bo\$b5o\$ob2obo\$2b2obo\$2b4o!
17, B2e3ijry4aceiz5-ej6a7e8/S1c2cek3j4-aekz5acnqy6-ei78, 271, 0, 542, bo2\$o\$2b4o\$2b2obo\$2b2obo\$b5o!
23, B2e3cijr4acekz5-ejk6ain7e8/S1c2-a3jk4-acekz5acenq6-ei78, 1022, 0, 2044, ob2o\$2b2ob4o\$bo3b2obo\$3b4obo\$3bo2b3o\$4bo!
17, B2e3eijkr4aiz5-ej6ai7e8/S1c2-ai3ejk4-ajk5-ijr6-ei78, 1188, 0, 2376, 5o\$3obo\$3obo\$b4o!
20, B2e3ijry4aewyz5-j6a7e8/S1c2cek3jkq4-acejk5-ijr6-e78, 362, 0, 724, b2o\$bo\$b5o\$ob2obo\$2b2obo\$b5o!
21, B2e3-acn4aw5-j6an7e8/S1c2cek3cj4-acjk5-eijr6-ei78, 385, 0, 770, 2bo\$4b3o\$ob3obo\$2ob2obo\$7o!
22, B2ei3cijkr4aceqy5-jk6a7e8/S1c2cek3cjkq4-aejkz5acknq6-ei78, 349, 349, 1436, 4b2o\$4b2o\$3bo2bo\$4bobo\$2bo4b2o\$o3bo3bo\$4b4o\$4b4o!
20, B2e3-anq4aekqw5-ej6a7e8/S1c2-ai3cjkq4-aek5acknq6-e78, 452, 0, 904, 5bo\$bo3b4o\$obob3obo\$4bobobo\$4bob3o\$4bo!
18, B2e3cijr4akqy5-j6a7e8/S1c2-a3cjk4-ajk5acnq6-ei78, 302, 0, 604, 2bo\$2bo\$b5o\$2b2obo\$ob2obo\$3b3o\$bo!
19, B2e3ijqr4acqy5-ej6ai7e8/S1c2cek3cjky4-acejk5-ijry6-e78, 439, 0, 878, 6o\$b3obo\$b3obo\$o2b3o\$bo!
27, B2e3eijqr4aiky5-ejk6a7e8/S1c2-ai3cjk4-acjk5-ijkr6-e78, 2490, 0, 4980, 5bo\$3bobo\$ob2obo2b3o\$4b5obo\$2bo2b4obo\$6b5o!
19, B2e3ijqr4acy5-ej6a7e8/S1c2-ai3cejky4-ak5acknq6-e78, 420, 0, 840, b5o\$2b2obo\$ob2obo\$2ob3o\$bo\$o!
20, B2e3ijry4acz5-ej6an7e8/S1c2cek3cjq4-aj5-ijr6-e78, 1180, 0, 2360, 4bo2\$2o2b4o\$b2ob2obo\$3b3obo\$2bo2b3o!
19, B2ei3ijkry4aekq5-ej6ain7e8/S1c2cek3jy4-aejk5-eijr6-e78, 494, 0, 988, 2bo\$2b4o\$b3obo\$2b2obo\$2ob3o\$2o!
19, B2e3ijqry4aeyz5-ej6ai7e8/S1c2-ai3jy4-acek5acnq6-ei78, 504, 0, 1008, bobo\$2bo\$o2b4o\$5obo\$4bobo\$4b3o!
20, B2e3ijry4acekyz5-ej6ai7e8/S1c2cek3cjkq4-acejk5acnq6-e78, 388, 0, 776, 3bo\$2bo2b3o\$3b3obo\$o2b3obo\$2b6o!
21, B2ei3ceijr4acekyz5-ej6a7e8/S1c2cek3cjky4-acejk5acnqy6-ei78, 559, 0, 1118, o7\$31b5o\$32b2obo\$30bob2obo\$31b5o\$31bo\$31b2o!
19, B2e3ijry4ackq5-ej6ain7e8/S1c2-ai3ejqy4-acjk5-eijr6-ei78, 535, 0, 1070, 6o\$b3obo\$b3obo\$o2b3o\$bo!
31, B2e3cijqr4aekqw5-ejk6ai7e8/S1c2-ai3j4-acjk5-ijkr6-e78, 1896, 0, 3792, bo2bo6bobo\$obobo7b3o\$3b2o4b5obo\$3bo6b4obo\$8b3ob3o\$13bo!
21, B2e3ijqr4aekwz5-ej6an7e8/S1c2cek3ej4-ackz5acknq6-e78, 990, 0, 1980, 2bo\$ob5o\$b4obo\$bob2obo\$bob4o!
18, B2e3ceijr4aeiy5-ejk6an7e8/S1c2-ai3cj4-acejk5-ijkr6-ei78, 579, 0, 1158, bo\$o2b3o\$b3obo\$b3obo\$b5o!
24, B2e3eijr4aeiwz5-j6a7e8/S1c2cek3cjqy4-acjk5acknq6-e78, 976, 0, 1952, 2bo\$4b5o\$2b5obo\$o3b3obo\$b3o2b3o\$4bo!
21, B2e3-aknq4aceikw5-jk6a7e8/S1c2-ai3cjy4-ak5acnq6-e78, 1244, 0, 2488, 2bo\$bobo\$o2bob3o\$4b2obo\$4b2obo\$3b5o\$4bo\$4bo!
21, B2ei3ijr4aceiz5-j6a7e8/S1c2-ai3jk4-acejk5-ijkr6-e78, 734, 0, 1468, 3bo\$o2b4o\$3b2obo\$o2b2obo\$ob5o\$2b2o!
20, B2e3ceijr4aceqy5-ejk6a7e8/S1c2cek3cjky4-ajk5-ijkr6-e78, 425, 0, 850, 2bo\$2b5o\$2b3obo\$3b2obo\$bo2b3o\$o\$b2o!
20, B2e3cijkr4acewyz5-j6a7e8/S1c2-ai3jq4-ajk5-eijr6-ei78, 1376, 0, 2752, b2o\$2o\$2b2o\$3bob3o\$4b2obo\$4b2obo\$5b3o\$3bo!
20, B2e3ijr4akqwz5-ej6a7e8/S1c2-ai3ej4-acejk5-eijr6-ei78, 561, 0, 1122, o2\$13b5o\$13b3obo\$12b4obo\$14b4o\$14bo!
``````

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!

wwei47
Posts: 641
Joined: February 18th, 2021, 11:18 am

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

By RandSeeker, a 410c/820 (16, previous best 21):

Code: Select all

``````x = 8, y = 5, rule = B3-ceky4ackntwz5enr6ain/S2-ac3-ceky4cejknq6ein7e
7o\$o\$o6bo\$bo5bo\$3b2ob2o!
``````
EDIT: (17, 1)c/124, previously unknown:

Code: Select all

``````x = 75, y = 29, rule = B3-cey4-ceqr5ceinr6ae/S2-ac34ijkz5ejkr8
61bo\$52bo7bobo\$51bo2bo4b2obo\$51bo2bo5b3o\$51bo2bo5b2ob2o\$52b3o6b3ob2o\$
58b7o\$58b2ob4o2bo\$61b3o3bo4b3o\$67bo2b2o2bo\$65bo2bo5bo\$66bo6b2o\$67bo3bo
2bo\$67bobob3o2\$10b3o\$8bo2b2o\$11bo\$3b3obo3bo\$2bo3bobo3bob2o\$bobo3bo4b3o
50b3o\$bo5bo2bobobo33b3o\$2o3bo6bo2bo15b3o\$3obo4bobo\$2bobo3bo2bo3b2o\$11b
o2bob3o\$7bo7bob2o\$13bo2bobo\$13bobobo!
``````
Edit 2: Nevermind, a (17,1)c/124 is known-I just forgot to turn on wrap around when searching the database.
Edit 3: (23,5)c/770 (11 cells, previously unknown):

Code: Select all

``````x = 5, y = 4, rule = B3-ceky4-eryz5-aiq6k/S2-ac3-cey4ijkqz5j6a7e8
b3o\$bo2bo\$o3bo\$2ob2o!
``````
Edit 4: (13,3)c/373 (12 cells, previously unknown):

Code: Select all

``````x = 6, y = 4, rule = B3-cey4-jry5ejkqy6ik/S2-ac3-cek4ikqz5ekr6ai
2bobo\$bo3bo\$2bo2bo\$6o!
``````
Edit 5: 246c/492 (14, previous best is 22):

Code: Select all

``````x = 8, y = 5, rule = B3-cek4akntwy5-aijq6ce/S2-ac3-cky4ejky6n7e
b4o\$6bo\$o6bo\$bo5bo\$3b5o!
``````

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!
``````

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

The search results matching pattern 2bo2\$obo! for 7 gen in rule B2ain3ack4r/S02c3ai4er with searchRule-matchPatt2.py found only the following 28c/56d out of 103204000 rules with seed=1:

Code: Select all

``````x = 4, y = 4, rule = B2ain3ack4cejnr7c/S02c3aiy4ekqr5q6k
o\$3bo\$2b2o\$b3o!
``````
I'm also running a subset of this rulespace in EnumPattEvo, and so far found the following new or improved speeds:

24c/48d, 7 cells:

Code: Select all

``````x = 4, y = 4, rule = B2ain3ack4aejkry5k/S02ci3aijr4ekqrtz5i6an
o\$3bo\$2b2o\$b3o!
``````
Smaller 26c/52d, 7 cells:

Code: Select all

``````x = 4, y = 4, rule = B2ain3acky4-acnqw5ky6cik7c/S02ci3aeir4ejkrz5-aejy6n7c
o\$3bo\$2b2o\$b3o!
``````
36c/72d, 7 cells:

Code: Select all

``````x = 4, y = 4, rule = B2ain3ack4ejkryz5eijky8/S02ci3aeir4ejkqrt5iknqr6ekn
o\$3bo\$2b2o\$b3o!
``````
The rulespace in question contains the 14c/31d, but so far almost all results (7528, at time of writing) are period multiples of c/2 diagonal with 7 or 8 cells. On the other hand, there are no c/2d results with fewer than 7 cells.

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!

LaundryPizza03
Posts: 1277
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

This is the best (7,1)c/8 partial to date in AforAmpere's rule in rlifesrc (OP), which preserves 15 columns after 8 generations:

Code: Select all

``````x = 19, y = 18, rule = B2aci3aj4cijkrtz5ajkqy6kn78/S2ak3ejkqr4cijqtwz5-aenr6ace7e8
4bo\$5bo\$3bobo9bobo\$3bo2bobo3bo4bo\$3bob3o3bo5bo\$3b2obo3b4o2bo\$4b3o3bob
5o\$3b6o4b2o2b2o\$5bob2o2bo2b3o\$5b2obo2b6o\$5b3o2bo3b4o\$4bo2bo7bobo\$6bo3b
o2b5o\$6b3o2bob4o\$2bo6bo3b5o\$2b3o5b5o\$2b2o\$4o!
``````
The largest width ruled out was 20.

Would anyone like to continue from here or try wildmyron's 9c/10o (OP)?

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!

wwei47
Posts: 641
Joined: February 18th, 2021, 11:18 am

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

LaundryPizza03 wrote:
April 23rd, 2021, 2:48 pm
This is the best (7,1)c/8 partial to date in AforAmpere's rule in rlifesrc
I noticed something strange about this. I was messing around with LLS on repl.it. It took less than 5 seconds to find (2,1)c/3, (3,1)c/4, (4,1)c/5, and (5,1)c/6. But when I tried (6,1)c/7, it either ran out of memory preprocessing, or it couldn't find anything. Any idea why things jump from "easy" to "very, very difficult" just like that?

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!
``````

yujh
Posts: 2173
Joined: February 27th, 2020, 11:23 pm
Location: 我不觉得我迷路了，但是我不知道我在哪里
Contact:

### 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)?
Both ntzfind and qfind dislikes it, even at width 8!