Smallest Spaceships Supporting Specific Speeds (5s) Project

For discussion of other cellular automata.
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yujh
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by yujh » 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?
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » April 5th, 2021, 8:52 am

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!
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HelicopterCat3
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by HelicopterCat3 » 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!

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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » April 5th, 2021, 2:56 pm

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!
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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » April 6th, 2021, 11:32 am

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

Post by AforAmpere » April 6th, 2021, 3:00 pm

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!
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.

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

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

Post by wwei47 » 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
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!
If anyone cares, I've started work on another (34,7)c/156 spaceship using the same reaction.

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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » April 7th, 2021, 12:30 pm

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!
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wwei47
Posts: 1893
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wwei47 » April 7th, 2021, 3:11 pm

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.
If anyone cares, I've started work on another (34,7)c/156 spaceship using the same reaction.

AforAmpere
Posts: 1357
Joined: July 1st, 2016, 3:58 pm

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

Post by AforAmpere » April 7th, 2021, 4:09 pm

(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.
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.

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LaundryPizza03
Posts: 2436
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » April 8th, 2021, 12:00 am

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!
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LaundryPizza03
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Joined: December 15th, 2017, 12:05 am
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » April 9th, 2021, 1:21 pm

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
(75.19 KiB) Downloaded 111 times

Code: Select all

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

AforAmpere
Posts: 1357
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by AforAmpere » 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.

2c/1475, 4 cells:

Code: Select all

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

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LaundryPizza03
Posts: 2436
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

Post by LaundryPizza03 » 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?

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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yujh
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by yujh » April 9th, 2021, 6:14 pm

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!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

AforAmpere
Posts: 1357
Joined: July 1st, 2016, 3:58 pm

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

Post by AforAmpere » April 11th, 2021, 4:41 pm

(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!
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.

User avatar
LaundryPizza03
Posts: 2436
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

Post by LaundryPizza03 » April 11th, 2021, 7:45 pm

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

AforAmpere
Posts: 1357
Joined: July 1st, 2016, 3:58 pm

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

Post by AforAmpere » April 12th, 2021, 3:25 am

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!
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.

User avatar
LaundryPizza03
Posts: 2436
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

Post by LaundryPizza03 » April 14th, 2021, 12:54 pm

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

User avatar
LaundryPizza03
Posts: 2436
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

Post by LaundryPizza03 » April 14th, 2021, 6:23 pm

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!
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wwei47
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wwei47 » April 18th, 2021, 1:06 pm

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!
If anyone cares, I've started work on another (34,7)c/156 spaceship using the same reaction.

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

Post by LaundryPizza03 » April 23rd, 2021, 1:28 pm

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

Post by LaundryPizza03 » April 23rd, 2021, 2:48 pm

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!
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wwei47
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by wwei47 » April 23rd, 2021, 3:17 pm

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?
If anyone cares, I've started work on another (34,7)c/156 spaceship using the same reaction.

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

Post by yujh » April 23rd, 2021, 8:08 pm

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!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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