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

For discussion of other cellular automata.

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

A weird osc in one of launrypizza03's rules:
x = 13, y = 9, rule = B2n3-knqy5acjry6-ek7c8/S2-i3-acky4eiqtz5cq6-c7e82bo$b3o$o3bo$2ob2o2$8b2ob2o$8bo3bo$9b3o$10bo! Predecessor for a diagonal ship x = 7, y = 7, rule = B2n3-knqy5acjry6-ek7c8/S2-i3-acky4eiqtz5cq6-c7e83o$obo3$5b2o$6bo$5b2o! I am a prolific creator of many rather pathetic googological functions My CA rules can be found here Also, the tree game Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?" Moosey Posts: 2343 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project (9,6)c/24, 5 cells: x = 3, y = 3, rule = B2i3-ceny4ajtz5-cein6-ei7c/S1e2in3-cjqy4-jknyz5aceiy6-ae8obo$obo$2bo! EDIT: (8,5)c/24, 4 cells: x = 4, y = 3, rule = B2cei3ekqr4-krtw5ejkqy6an8/S2-ac3airy4acjknqz5a6ac3bo$obo$bo! (8,7)c/24, 3 cells: x = 4, y = 3, rule = B2-an3acqy4ceiknty5eir6-k/S02n3ejq4-enqtz5eknqr6ci7o2$bobo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

Once I specified the behavior of the p11 photon using a trick described in one of my previous posts, I was able to find a p33 photon no problem:
x = 2, y = 3, rule = B2aen4cijknw5acjn6cei/S2ce3acr4-irty5-aj6ein7c8o$bo$bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

I constructed an LLS search for a 31c/31 frontend and determined that there are exactly 3 such frontends, out of 8388608 possible rulespaces for banana-shaped photons. I am currently searching the first of these in LLS.
#C [[ STOP 31 ]]x = 2, y = 3, rule = B2-in4ikwyz5qy/S2cn3nqo$bo$bo!

#C [[ STOP 31 ]]x = 2, y = 3, rule = B2-in4ikwyz5qy/S2cn3cqo$bo$bo!

#C [[ STOP 31 ]]x = 2, y = 3, rule = B2-in3r4kwy5qry/S2cn3c4no$bo$bo!

By the way, the search pattern I used was as follows:
0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  1  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  1  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0  0  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0  1  00' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0  0  10' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0  0  10' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0  0  0

We note, however, that the only ships in 5s with all four of B2acek are the (4,2)c/7, 9c/9o, and 10c/10o. Due to the nature of such rules, I expect this to be a rather difficult search.
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

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# Search results matching pattern o$2bo2$o! for 10 gen in rule B2ein3cikqr4aceikrw5nqy6ack7c/S02cik3aceij4jnqt5qy6a7e with searchRule-matchPatt2.py using seed=103, B2ein3-aejn4-cqtyz5enqry6cn8/S02cik3acejy4jnqtz5cqr6aci, 8, 6, 40, o$2bo2$o!4, B2ein3cikqr4-qrwyz5-cjk6ac/S02cik3acej4ijnqty5jkq6a, 11, 3, 39, o$2bo$bo$o!4, B2ein3-aejn4-cqrwz5ainry6ac/S02cik3acjky4-acekr5jqr6a, 9, 5, 40, o$2bo$bo$o!4, B2ein3-aej4aeikwyz5ny6c/S02cik3-ejnr4jnqt5q6ac7e, 8, 4, 26, o$2bo$bo$o!5, B2ein3-aej4aceikrw5-acjq6ck7e/S02cik3-enr4cejnqtw5ejqr6-k7e, 10, 2, 238, o$3bo$2bobo$3bo!4, B2ein3-aejy4aeiknwy5iny6ckn7e/S02cik3aciqy4jnqtyz5cq6ace, 9, 5, 30, o$2bo$bo$o!3, B2ein3cikqr4aeiktw5knqy6c/S02cik3acijq4cjnqt5q6a8, 7, 4, 25, o$2bo2$o!3, B2ein3cikqr4aeijktw5nqy6ack7c8/S02cik3aceij4jnqw5qr6ai, 7, 6, 32, o$2bo2$o!5, B2ein3-aej4-cqrtz5-ajkq6cek7c/S02cik3aci4jnqty5cejqr6ai, 13, 1, 55, o$3bo$obo$bo!5, B2ein3-aej4-jnqwy5inqry6-in7c/S02cik3acijk4-aikrw5jqr6-ck, 7, 7, 387, bo$2bo$o2bo$bo!3, B2ein3-aej4aeiknz5ikny6ck78/S02cik3-inr4jnqtwyz5q6-ik, 9, 5, 39, o$2bo2$o!10, B2ein3-aej4-cnqy5ckny6ace/S02cik3aceky4cjnqt5eqy6acn, 14, 8, 42, bo$obo4bo$2o8bo$7bobo$8bo!4, B2ein3-aejn4aeijkr5anqy6ac/S02cik3acij4jnqtz5cejqy6ae, 7, 5, 24, o$2bo$bo$o!4, B2ein3cikqr4-cqryz5-cejr6ack/S02cik3aceiq4jnqty5cjq6acn, 6, 4, 27, o$2bo$bo$o!3, B2ein3-aejy4-cjnqt5nqry6c/S02cik3aceqy4jnq5jkqr6a, 8, 3, 27, o$2bo2$o!4, B2ein3cikqr4-cnqry5nry6-ei7e/S02cik3aceij4jnqty5ejkq6an, 11, 2, 29, o$2bo$bo$o!3, B2ein3-aejy4aeiknr5aeny6ck/S02cik3-inr4jnqtw5jq6a8, 7, 5, 24, o$2bo2$o!5, B2ein3-aej4aeiky5eny6c7/S02cik3acij4ejnqt5cjqy6aci7e, 10, 3, 28, o$bo$obo$bo!4, B2ein3-aejy4aeikrz5cnry6ck/S02cik3acjq4ejnqt5q6an7e8, 10, 3, 31, o$2bo$bo$o!3, B2ein3-aej4aeiknrw5-acjq6ck7e8/S02cik3acqy4cjnqtw5jqy6ae, 9, 7, 79, o4$3bo2$bo!3, B2ein3-aejy4aeikrty5ainy6ck/S02cik3aceik4jnqt5ckqr6a, 6, 4, 27, o$2bo2$o!4, B2ein3cikqr4aeijkr5any6c7e/S02cik3-nr4jnq5qy6ac, 9, 3, 27, o$2bo$bo$o!3, B2ein3-aejy4aeiknr5iny6c7c/S02cik3aci4jnqty5kqr6a, 8, 2, 24, o$2bo2$o!5, B2ein3cikqr4aeijknw5-ajqr6ck/S02cik3-jknr4ejnqt5cqr6acn7e, 9, 6, 27, o$3bo$obo$bo!4, B2ein3-aejy4aeikz5-eijk6ck/S02cik3acqy4jnqty5q6a8, 9, 2, 26, o$2bo$bo$o!4, B2ein3-aej4-qtyz5aciny6-ei7/S02cik3-jknr4-akr5jkqy6ai, 7, 7, 808, 2bo$bo$o2bo!3, B2ein3cikqr4aeijkw5anqy6ckn/S02cik3acek4jnqw5q6ac7e, 6, 5, 21, o$2bo2$o!3, B2ein3cikqr4aeijky5cnqry6ck7e8/S02cik3aceij4jnqtw5cqr6a7e, 7, 3, 26, o$2bo2$o!3, B2ein3-aejn4-cqwy5-jkq6ck/S02cik3aciqy4-aeikr5ceqr6ain8, 7, 4, 28, o$2bo2$o!3, B2ein3-aejy4aeijkr5knqry6ckn/S02cik3-knry4jnqz5ejqr6ain8, 6, 5, 29, o$2bo2$o!3, B2ein3-aej4aeikrw5nry6c7c/S02cik3-ijnr4ejnqt5-ainr6ac8, 5, 4, 29, o$2bo2$o!3, B2ein3-aej4-jqwz5eknry6ace7e/S02cik3-nqr4jnqtwy5cjqry6acn, 8, 8, 502, o2bo2$bo!3, B2ein3-aejy4aeik5nqy6ck/S02cik3-ejnr4jnqtyz5cjq6an, 8, 3, 26, o$2bo2$o!4, B2ein3cikqr4-cjqy5cnqy6-ik/S02cik3aceij4cijnqwy5cqry6acn7e, 8, 7, 37, o2$3bo$bo$o!3, B2ein3-aejy4-cnqy5-acjk6ck/S02cik3-nry4jnqtyz5qy6ac7e, 7, 6, 26, o$2bo2$o!5, B2ein3-aejn4-cqty5inqy6-in7/S02cik3aceiq4jnqtwyz5ejqy6-ik7e, 14, 3, 55, o$3bo$obo$bo!3, B2ein3-aejy4aeijkty5inqy6ac7c/S02cik3acij4jnqty5q6a7e, 8, 3, 28, o$2bo2$o!3, B2ein3-aejy4-cqrty5cekny6c78/S02cik3-knr4cejnqtz5ckqr6ac7e8, 34, 0, 268, 2bo$o2$2bo!6, B2ein3-aejy4-cjqry5-jk6c7c8/S02cik3-nqr4cjnqtwz5kqr6an, 4, 1, 506, 3bo$o$bob2o$3bo!3, B2ein3cikqr4aeiknyz5nry6c7e/S02cik3acejq4jnqty5q6a, 7, 4, 22, o$2bo2$o!5, B2ein3cikqr4-cqyz5-ijkq6-in7e/S02cik3-eknr4-ackry5ekqry6-ek8, 12, 12, 994, 2bo$bo$o$bobo!5, B2ein3-aej4-cnq5aceny6-ai7c8/S02cik3-nqry4ijnqtw5jqry6ac, 4, 1, 314, o$3bo$obo$bo!3, B2ein3-aejy4-jq5ckny6ace78/S02cik3acij4ijnqz5-ain6acn7e, 9, 1, 138, o$2bo2$o!4, B2ein3cikqr4aeiknrt5-eijr6ack/S02cik3aciq4ejnqz5jq6ac, 8, 7, 32, o$2bo$bo$o!3, B2ein3cikqr4aeikwy5enry6ce7c8/S02cik3acejq4ejnqtw5qr6ai7e, 7, 4, 21, o$2bo2$o!7, B2ein3-aejn4-nqr5knqry6ack/S02cik3acekq4cjnqt5cqr6aen, 8, 7, 25, 2bo$3bo$o2$2bo2$5bo$7bo2$5bo!5, B2ein3-aejy4aeijkry5ackny6ack/S02cik3acejy4ijnqwyz5cjkq6ace, 8, 4, 25, o$bo$obo$bo!4, B2ein3-aej4aeiktw5-jkq6cn7e8/S02cik3-nqr4ejnqz5qr6a8, 11, 4, 40, o$2bo$bo$o!4, B2ein3cikqr4aeiknwz5ny6ck/S02cik3acei4ijnqtwy5cq6a, 8, 4, 25, o$2bo$bo$o!3, B2ein3-aejy4aeijkwz5cnqry6cek7e/S02cik3acijk4jnqty5ejkq6-kn, 7, 4, 26, o$2bo2$o!3, B2ein3-aejy4-jqrwy5ceiny6c7c/S02cik3-jnr4ejnqt5ckqr6a, 12, 1, 87, o$2bo2$o!5, B2ein3-aej4-jnqz5-cjq6ack7/S02cik3-knr4ejnqz5ckqr6ace, 3, 3, 1562, obo$3bo$2bo$bo!5, B2ein3-aejy4aeikrtw5cny6c/S02cik3-jnr4ejnqz5kqr6a, 8, 5, 29, o$3bo$obo$bo!3, B2ein3-aej4-cnqrw5-ejkq6-i8/S02cik3aceij4ejnqy5jqr6an, 9, 7, 61, o$2bo2$o!3, B2ein3-aejy4-cqwyz5-cejq6ck7e/S02cik3aciky4jnqw5kqr6ac7e, 7, 3, 29, o$2bo2$o!3, B2ein3-aejn4aeikrw5nqry6ack/S02cik3acikq4jnqtw5cqy6a, 9, 4, 26, o$2bo2$o!3, B2ein3-aejn4-cnqtz5iny6ck7c/S02cik3aceiy4jnqtz5cqry6ac, 11, 4, 38, o$2bo2$o!3, B2ein3cikqr4aeiknrw5inqry6ac/S02cik3aceq4jnqtw5kq6a, 7, 6, 24, o$2bo2$o!3, B2ein3-aejy4aeijkry5aeny6ace78/S02cik3-nqr4ijnqtwz5ejqy6ain7e, 7, 5, 45, o$2bo2$o!3, B2ein3-aej4aeikn5any6ce/S02cik3-nr4jnqty5ekqy6a7e, 8, 5, 36, o$2bo2$o!3, B2ein3cikqr4aeiknw5inqy6c7c/S02cik3-inry4jnqty5jkqy6a7e, 8, 4, 24, o$2bo2$o! x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 457 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project 49 ships. # Search results matching pattern 2bo$3obo$b3o$bo2bo! for 17 gen in rule B2ce3cqr4-nqtyz5-iknq67c8/S12ei3cery4-j5-r67 with searchRule-matchPatt2.py using seed=2910, B2ce3cq4aceir5aejry6-n7c8/S12ein3ceqry4-cej5-kr67, 9, 3, 271, 2bo$3obo$b3o$bo2bo!10, B2ce3cqy4aceijr5-cinq67c8/S12in3ceqr4-ejkz5-r6-i7, 13, 1, 224, o$2b2o$5o$2b2o!10, B2cei3qy4aejkry5-cinq6-e7c8/S12ein3cer4-ejk5-kr67, 41, 41, 832, obo$bo$b3o$3o$2bo!9, B2ce3cqry4aejrwyz5-inq67c8/S12i3eqry4-ejk5-r67, 14, 2, 289, o$2bobo$b3obo$o3bo!10, B2cei3qry4aeirwz5-cinq67c8/S12ein3ceqry4-cejk5-r6-i7, 11, 7, 424, 2bo$3obo$b3o$bo2bo!10, B2cei3q4aejr5-cinq67c8/S12ei3ery4-ejk5-r67, 8, 0, 1326, 4bo$b2o$5o$b2o!10, B2cei3q4-cknqt5-inq6-e7c8/S12in3cer4-cej5-r6-i7, 11, 1, 646, o$2b2o$5o$2b2o!10, B2cei3cq4aeijkry5-cinq6-en7c8/S12i3eqr4-ejz5-kr6-i7, 16, 16, 658, obo$bo$b3o$3o$2bo!10, B2ce3qr4aeijrwz5aejry67c8/S12i3ceqry4-cej5-r6-i7, 12, 12, 1038, o$4o$2bobo$2bobo$3bo!10, B2cei3q4-jnqt5-inq6-en7c8/S12i3eqr4-jk5-r6-i7, 12, 1, 173, 2bo$3obo$b3o$bo2bo!10, B2cei3cq4acerw5-cinq67c8/S12in3ceqr4-ejkz5-kr6-i7, 48, 0, 832, bo2bo$b3o$3obo$2bo!14, B2ce3qy4aceiryz5aejry6-n7c8/S12ei3cer4-ejk5-kr67, 18, 1, 389, 2b2o$b3obo$5o$2o3bo!10, B2cei3qy4aery5-cinq6-en7c8/S12in3eqr4-ej5-kr67, 13, 1, 287, 2bo$3obo$b3o$bo2bo!15, B2ce3qr4aejkryz5-inq6-n7c8/S12in3cery4-ejkz5-r67, 16, 2, 258, bo$4o2bo$b5o$b3o2bo!7, B2cei3qry4acejkrz5-iknq67c8/S12in3cery4-ejk5-kr6-i7, 18, 1, 201, bobo$2bobo$2b2o$o!10, B2cei3cqy4aeijrz5-cinq67c8/S12in3ceqr4-cjz5-kr6-i7, 4, 4, 798, bo$b3o$3o$2bo$bobo!9, B2ce3qry4-nqt5aejry67c8/S12i3ceqry4-cej5-kr67, 17, 2, 176, 2bo2$obobo$b3o$4bo$2bo!6, B2ce3q4acejrwy5-cinq6-en7c8/S12in3eqr4-cejkz5-r6-i7, 22, 22, 440, o2$o$bo$obo$bo!10, B2cei3cq4acejr5-inq6-n7c8/S12i3cer4-cjk5-r67, 17, 17, 920, obo$bo$b3o$3o$2bo!10, B2ce3qry4aceir5aejry6-en7c8/S12in3ceqr4-jkz5-r67, 21, 3, 329, b2obo$b3obo$2o2bo!10, B2ce3cqry4aceir5-inq6-e7c8/S12in3eqr4-cej5-r6-i7, 14, 14, 1184, obo$bo$b3o$3o$2bo!10, B2ce3qry4aekry5-inq6-en7c8/S12i3eqr4-ej5-r67, 13, 13, 844, obo$bo$b3o$3o$2bo!10, B2ce3cqr4aeijkry5-iknq6-e7c8/S12ei3er4-cejk5-r67, 34, 0, 642, 2b2o$bo2bo$4o$2o!6, B2ce3q4aeikryz5-inq6-en7c8/S12i3eqry4-ej5-kr67, 38, 0, 418, bo$obo$bo$b2o!10, B2ce3q4-jnqtw5-inq6-n7c8/S12i3cer4-cjz5-kr67, 11, 1, 455, 2bo$3obo$b3o$bo2bo!10, B2cei3cqry4aceijkr5-inq67c8/S12i3cer4-j5-r6-i7, 13, 1, 722, 2bo$3obo$b3o$bo2bo!6, B2ce3cqy4-cjnqt5-iknq6-e7c8/S12in3ery4-cej5-r6-i7, 13, 13, 1042, obo$bo$2b3o!56, B2ce3q4aeikr5-cinq6-n7c8/S12in3cer4-ej5-r67, 28, 0, 713, 21bo$19b2ob2o$17b2ob3obobo$18b3ob4obo2bo$bo14bo2b2ob4ob3o$3o17b4ob4obo$3o16bo2b4o2bo$2bobo21bo!10, B2cei3cq4aeijkrz5-iknq67c8/S12in3er4-cejkz5-r67, 26, 1, 414, 2bo$3obo$b3o$bo2bo!10, B2ce3qy4-jnqtz5aejry6-en7c8/S12in3cer4-cjkz5-kr6-i7, 20, 20, 606, 2bobo$3obo$o3bo$o$4bo!10, B2ce3qr4aeijkry5-cinq6-en7c8/S12ei3ceqr4-cej5-r67, 10, 2, 319, bo$b3o$3obo$2b2o!10, B2cei3qy4aekryz5-inq6-n7c8/S12i3er4-cjz5-kr67, 34, 0, 1116, 2b2o$5o$2b2o$o!10, B2ce3qy4-jnqt5-inq6-en7c8/S12in3eqr4-cj5-r67, 10, 4, 320, bo$b3o$3obo$2b2o!10, B2ce3qy4aeikr5aejry67c8/S12in3ery4-cejz5-kr6-i7, 5, 1, 461, o$2b2o$5o$2b2o!10, B2cei3q4aejkr5-inq6-en7c8/S12i3er4-cej5-kr67, 28, 3, 389, 2bo$3obo$b3o$bo2bo!20, B2ce3cqr4aeikr5-iknq6-n7c8/S12in3eqr4-ejkz5-r67, 42, 0, 2706, 4bo$b5obo$o4b2obo$b5obo$bob2o!10, B2ce3qy4aceirz5-inq6-en7c8/S12in3ceqry4-cej5-kr6-i7, 14, 14, 652, bo$b3o$3o$2bo$bobo!11, B2cei3qry4acejry5aejry6-e7c8/S12ein3cery4-cejkz5-kr6-i7, 22, 22, 964, bo$obo$3o$b3o$2bo$bo!12, B2cei3qry4acejkrw5-cinq6-n7c8/S12in3cer4-ejk5-kr6-i7, 12, 12, 1226, obo$bo$b3o$4o$b2o!10, B2cei3cqr4aeryz5-inq67c8/S12i3ceqr4-cjz5-r6-i7, 14, 2, 304, 2bo$3obo$b3o$bo2bo!10, B2ce3cqry4aejryz5-iknq6-e7c8/S12in3er4-ej5-r67, 13, 6, 192, 2bo$3obo$b3o$4bo$bo!10, B2cei3qry4aceijr5-inq6-e7c8/S12ein3cer4-cjkz5-kr6-i7, 19, 1, 315, 2bo$3obo$b3o$4bo$bo!10, B2ce3cq4aeijry5aejry6-n7c8/S12i3ceqry4-ejz5-kr6-i7, 12, 3, 224, bo$b3o$3obo$2b2o!10, B2cei3cq4aeijkrw5aejry6-e7c8/S12ein3ery4-cej5-r6-i7, 10, 3, 292, 2bo$3obo$b3o$bo2bo!10, B2ce3q4aceir5-cinq6-n7c8/S12ei3eqr4-cejkz5-r6-i7, 50, 0, 754, bo2bo$b3o$3obo$2bo!8, B2cei3qr4aeijry5-inq67c8/S12ei3eqry4-jk5-r6-i7, 13, 13, 1200, 3bo$2bobo$bob2o$2o!10, B2ce3qr4aceikrz5-cinq67c8/S12i3eqr4-cejk5-r6-i7, 19, 1, 313, bo$b3o$3obo$2b2o!10, B2ce3cqy4aceijr5-cinq6-en7c8/S12ein3ceqry4-ejkz5-kr6-i7, 29, 3, 234, o$2b2o$5o$2b2o!10, B2cei3qr4aekr5-inq6-e7c8/S12i3eqry4-jz5-r6-i7, 14, 2, 179, bo$b3o$3obo$2b2o!

Highlights:
Slowest: 4c/798d
x = 5, y = 4, rule = B2cei3cqy4aeijrz5-cinq67c8/S12in3ceqr4-cjz5-kr6-i7bo2bo$b3o$3obo$2bo! Highest period: p2706 x = 9, y = 5, rule = B2ce3cqr4aeikr5-iknq6-n7c8/S12in3eqr4-ejkz5-r674bo$b5obo$o4b2obo$b5obo$bob2o! Minpop 56 x = 31, y = 8, rule = B2ce3q4aeikr5-cinq6-n7c8/S12in3cer4-ej5-r6721bo$19b2ob2o$17b2ob3obobo$18b3ob4obo2bo$bo14bo2b2ob4ob3o$3o17b4ob4obo$3o16bo2b4o2bo$2bobo21bo!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 3111 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project a 21c/34o found by matchPatt2 x = 2, y = 3, rule = B2acn3aekn4-jknwy5ajy6ei8/S1c2ein3ijq4cty5en6ibo$o$bo! Starting pattern was bo$o$bo! for 19 gen in rule B2acn3aekn4aceiqrt5ajy6i8/S1c2ein3ijq4cty5ein6i with seed 29. EDIT: That's actually a predecessor, this is the actual ship (minpop) x = 3, y = 5, rule = B2acn3aekn4-jknwy5ajy6ei8/S1c2ein3ijq4cty5en6io$bo$b2o$bo$o! If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 3111
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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

Assorted SMOS-like searches, not surprisingly consisting mostly of SMOSses:
# Search results matching pattern 2o8bo$b2o7b2o$2o8bo! for 5 gen in rule B35r/S2-i34iw with searchRule-matchPatt2.py using seed=1010, B3-knq4cenqtwy5cqry6ik8/S2-ik3-k4iknqrwz5aejk6i78, 77, 0, 387, 2o4bo$bo2b3o$2o4bo!10, B3-knq4-aikw5jqry6ekn8/S2-ik3-kq4ceijnwz5aj6kn78, 94, 0, 524, 2o4bo$bo2b3o$2o4bo!10, B2n3-ckq4cjkwy5nqry6ain7c/S2-ik3-c4ceirwy5kr6-ac7c8, 113, 0, 691, 2o51bo$b2o50b2o$2o51bo!# Search results matching pattern 3b3o$4bo2$o$2o$o! for 5 gen in rule B3-q4-aei5aciqr6i7/S2-in3aeiy4iy6ei with searchRule-matchPatt2.py using seed=108, B3-q4eijqr5aknq6cn7e/S2-ik3-kn4ijkqwy5aejny6aei7c, 1, 1, 878, 2b3o$3bo$o$2o$o!8, B3-cnq4-aijkq5-enr6-ci78/S2-ei3-cnqr4cjkqyz5-ciy6ikn78, 2, 2, 255, 3b3o$4bo2$o$2o$o!6, B3-n4-ace5aikry6ae7e/S2acn3-jkqr4cjnryz5cry6ekn, 8, 8, 129, 2bo$b2o$3o!8, B2i3-cnq4eijqry5-acei6akn7c/S2-in3-cnr4cjknqr5ckr6aik7c, 16, 16, 429, 18b3o$19bo17$o$2o$o!6, B3-cnq4cknrtwz5acikq6aek7c/S2-ik3-jnq4-aceqt5jnqry6-ce, 9, 9, 805, bobo$2o2$o2bo!# Search results matching pattern 4bobo$4b3o3$2o$bo$2o! for 2 gen in rule B2ei3ciky4aejkrt5-aiky6ae78/S2-in3cijk4qy5a6ek with searchRule-matchPatt2.py using seed=105, B2eik3aciry4ekqt5-cijy6kn/S01c2-in3cekqr4jknqwy5ack6ein8, 2, 2, 457, 3bo2$3bo$ob2o!6, B2ei3aeiny4cenqyz5-ciqy6i7c8/S1c2-in3eijr4acenqwy5aeiqy6ein7, 10, 10, 301, 3bo$bobo$2bo$2o!9, B2ekn3aceik4cjt5akqr6-a78/S1c2-i3ikn4jknrw5-knry6aci7c, 14, 14, 237, 3b2o$bo2bo$4bo$o$3o!6, B2eik3acik4cejnrz5jnq6-kn8/S1c2-in3kqr4nqy5-enry6-n78, 9, 9, 581, 3o$o$obo!6, B2en3ir4-ijtwz5acejr6-ik7/S1c2-in3ijkq4cjwy5-cekr6cek, 7, 7, 313, 4bo$3b2o2$bo$2o!6, B2ein3ijkqr4jrt5acej6ckn7e8/S1c2-in4ejkrtwy5-ejr6-c7e8, 9, 9, 267, 12bobo$13bo11$o$bo$o!8, B2eik3aiy4cknq5-ijy6-en78/S1c2-n3in4jkqrtz5aj6-k7c, 9, 9, 347, 2bobo$4bo$o2bo$2bo$2o!# Search results matching pattern 4b3o$5bo3$o$2o$o! for 5 gen in rule B3-cnq4cknrtwz5acikq6aek7c/S2-ik3-jnq4-aceqt5jnqry6-ce with searchRule-matchPatt2.py using seed=108, B2i3-n4-ajqwy5ajnr/S2ac3-c4ciqrw5acejr6ei7c8, 10, 10, 189, 6b3o$7bo5$o$2o$o!8, B3-kq4ceknqwz5cjknr6c7e/S2acn3-ckqr4cijkrz5aceqr6ekn7c, 1, 1, 539, 28b3o$29bo27$o$2o$o!10, B2i34eiryz5cjy6-a/S2acn3aeiky4-atz5acenr6ai7e, 10, 10, 193, 21bo14$16b3o$17bo$14bo$14b2o$14bo3$o!8, B2in3-cq4cekrtw5jkn6cei78/S2acn3-ckn4ikqrwy5acjkq6k7, 13, 13, 395, 25bo$25bo$24bobo22$2bo$2o$2bo!8, B2in3-q4jqrtwz5cnqy6ak/S2acn3-jk4eknry5anq6-cn, 1, 1, 593, 9b3o$10bo8$o$2o$o!24, B2n3-ck4iqry5kry6ik7e8/S2acn3-cq4ejrwyz5ckry6kn78, 2, 2, 499, 12bo$11bo$8bob3o2$8b2o4$2bobo9b2o$4bo10bo$2bo$b2o10bo$obo$11bo$8bo$8b2o!8, B2in3-kq4ijkrtwz5-eijq6e7c/S2ac3-cq4cijqy5ny6ak7, 2, 2, 325, 11bo$11bo$10bobo8$2bo$2o$2bo!14, B2n3-nq4eijkrw5aik6-e8/S2-ei3-jnq4-ajkt5-ciy6kn7c, 2, 2, 337, obo$bo$obo3$5b4o$5b2o$5bobo$5bo!7, B2i3-c4-acrty5ajkn6-ce7c/S2-ik3-knqr4cqyz5acnr6ei78, 10, 10, 459, obo2$ob2o$2b2o!8, B2in3-ckn4ejqrwz5iknqr6aei7e/S2-in3aeiqy4cinqr5-aein7e8, 12, 12, 187, 15b3o$16bo14$o$2o$o!8, B3-ck4eirw5acijq6en7/S2ac3-nr4-ajqtw5-aeij6kn8, 9, 9, 307, 15b3o$16bo14$o$2o$o!8, B2n3-cq4eknrtyz5iknry6ckn8/S2-ei3-nq4eikqryz5cy6ekn8, 6, 6, 387, 10b3o$11bo9$o$2o$o!8, B2in3-cn4cqrwyz5cqry6ci7c8/S2ace3-cqr4-aktz5ar6ai7, 3, 3, 669, 3b3o$4bo2$o$2o$o! There are two searches with 2 T's because I accidentally excluded B2n in the first. I also found an (11,3)c/25: x = 3, y = 5, rule = B2cin3-ijn4ceijqrz5jq6-an/S02cek3jqry4-cejnz5ceny6cn7co2$2bo2$2bo! EDIT: (10,5)c/25: x = 2, y = 5, rule = B2cik3-ceij4qyz5-acnq6-ai7e8/S02e3cqy4-aceky5aeinq6-ai7cbo2$o2$o! x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 457 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project I've filled in oscillators up to p36 on the 5s summary table: http://www.conwaylife.com/wiki/LifeWiki ... s/Overview If anyone wants to do more of the ships then feel free to. Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3466 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project 120 ships in 17 million rules! (70 new and 50 improved speeds) # Search results matching pattern b2o$2bo$2bo$3o! for 12 gen in rule B2ci3-cejk/S2-n3ejnqr4aijz with searchRule-matchPatt2.py using seed=1011, B2ci3-ejk4tw7/S2-n3-acik4-knrwy5ij6ce7, 7, 5, 198, 9bo$3o$2bo4bo$2bo$obo$2o!10, B2ci3-jk4qt5k6k/S2-n3-aiky4aijtz5ijn6an8, 18, 3, 292, bo2bo$b2obo$bo$obo$b2o!7, B2ci3-cjk4ceqy5k6e78/S2-n3-acik4aceijz5jny6cen7e, 21, 4, 265, b2o$2bo$2bo$3o!8, B2ci3-ejk4ceq5k6k7/S2-n3-aik4aijtz5ceijk7, 11, 6, 380, obo$3o$2bo$2bo$3bo!10, B2ci3-cejk4ceqy6k7/S2-n3ejnqr4aceijqz5ciry6ckn78, 48, 0, 446, o3bo$bob2o$o2bo3$o$o$o!8, B2ci3-ejk4cey6e7e8/S2-n3-aik4aijnz5k6c7e, 29, 3, 187, 3b2o$4b2o$4b2o$4bo$o!22, B2ci3-jk4ce78/S2-n3-acik4aijz5cknr6a7e8, 15, 9, 197, 10bobo2$10bo$12b2o$11bobo$b2o4bobo$obo2b2obo$5bob2o$4bo$7bobo!8, B2ci3-ejk4e6e7e8/S23-acik4aeijz5iny6ckn7, 14, 10, 201, bo2$o$2o$o4$6bo$6bo$6bo!11, B2ci3-cjk4e6k7/S23-aiky4aijntz5cenry6-ci78, 15, 1, 256, 4b2o$bobo$b2o2bobo$o3bobo!26, B2ci3-cejk4etw5k6k/S23-acik4aeijnz5ejny6-ci7c, 17, 10, 712, 6bobo$7bo$5bo$5bo$3b3o4$4bo$3bobo$2bo3bobo$2bo2b2obo$bobo2bo$2o2bo$2b2o!8, B2ci3-ejk4cy5k6ek8/S2-n3-aiky4aeijntz5-aceq6ack7c, 16, 1, 182, o3b2o$5bo$5bo$3b3o!16, B2ci3-cjk4qw6k/S2-n3-acik4aijz5eijry6-ai, 17, 10, 366, b2o$2ob3o$bo3bo$5bo$3b3o$2obo!5, B2ci3-ejk4cqw5k6ek7c8/S2-n3ejnqr4acijnz5ekn6-ai7c8, 5, 0, 664, o$2o2bo$o!16, B2ci3-cjk4cw5k7c8/S2-n3-aik4acijnz5en6n7, 19, 2, 170, o$3bobo$o3bo$3b2ob2o$3bobo$5b2o$6b2o$7bo!6, B2ci3-ejk4cetwy6ek8/S23-acik4aijqtz5-akqy6-ei8, 5, 3, 219, bo$3o$o2bo!7, B2ci3-cjk4ceqy6ek7c8/S2-n3ejnqr4aeijqtz5ejny6ck78, 22, 3, 226, 3o$2bo$2o$4bo!7, B2ci3-cejk4cwy6k7e8/S2-n3-aiky4aijqz5ciny6ek, 18, 5, 230, 2bo$b2o$2o$obo!7, B2ci3-ejk4eqty6e7c8/S2-n3-acik4-krtwy5eikny6a7, 11, 1, 202, 2bo$bob2o$o$4bobo!8, B2ci3-cejk5k7e/S2-n3ejnqr4aijqz5ciknr6ck7c, 20, 5, 120, bo$o2bo$2o$3bo4$bobo!5, B2ci3-ejk4ceqy5k6ek/S2-n3ejnqr4-krtwy5cejny6en78, 10, 2, 355, o2$obo$o$o!7, B2ci3-ejk4cey5k7c8/S23-acik4acijz5ijnr6c8, 10, 7, 461, 2bo$2b2o$ob2o$2bo!7, B2ci3-cejk4eqt5k6k7/S2-n3-aik4-ckrwy5ery6aek7c8, 11, 4, 167, b2o$2bo$2bo$3o!7, B2ci3-ejk4eqt5k6e7c/S2-n3-aiky4acijz5-akqy6cek, 32, 0, 690, 3o$2bo$o2$b2o!41, B2ci3-jk4ey5k6e7e/S2-n3ejnqr4acijnqz5cjn6cen7e8, 29, 29, 662, 8bo$7bo3bo$7b2o4bo$9b2ob2o$10bo3bo$11b2o2bo$7b3obo2bo$7b3ob4o$5bob2o2$2o$obo$bobo6bo$10b3o$12bo!7, B2ci3-ejk4e7/S23-aik4-krwy5ein6k7e, 26, 0, 634, bo2$bo$3o2$4bo2$4bo!7, B2ci3-cejk4ceq/S23-acik4aeijqtz5cjy6ek78, 9, 9, 620, o$bobo$4o!7, B2ci3-cjk4ct6k7e8/S2-n3-aiky4acijz5cijkr6kn, 7, 1, 281, b2o$2bo$2bo$3o!7, B2ci3-jk4qw6k7e8/S2-n3-acik4aeijntz5cikn6ek7e8, 40, 0, 662, o$b2o$3bo$b3o!5, B2ci3-ejk4cq5k6k78/S2-n3-aik4aijnqz5cejk6cen7e, 8, 8, 950, 2bo2$3obo!11, B2ci3-cejk4qy6k7/S2-n3-acik4aceijqz5-anqr6ckn, 23, 7, 249, bo$b2o$2b2o$2b2o$obo$2o!11, B2ci3-cejk4ce5k6e78/S23-aik4-ckrwy5jk6n7e, 12, 6, 338, 5bo$3b2o$2bo$bob2o$obobo$bo!8, B2ci3-cejk4qy5k6k7c/S23ejnqr4aeijz5cek6aen7c, 33, 1, 103, bo$3o2$2bo$2bobo$bo!9, B2ci3-cejk4eq6ek/S2-n3ejnqr4aceijnz5ekn6en78, 120, 0, 266, 3bo2bo3$3o$2bo$2bo$b2o!8, B2ci3-cejk4cq7/S2-n3ejnqr4aijqz5ck6a7e, 126, 0, 276, 2o$2bo$2bo$2bo$3o!15, B2ci3-jk4qt6k8/S2-n3-aik4aijnqtz5e6kn7c, 4, 0, 1338, b2o$obo$o$o$2obo5bo$2b2o6b2o$10bo!8, B2ci3-ejk4cqw5k6ek7c8/S2-n3-acik4acijnz5-akqy6ck7e, 10, 2, 579, b2o$2bo$2bo$3o6$6bo!7, B2ci3-jk4c6ek7e/S23-acik4aceijnz5ejknr6n7e, 2, 2, 802, 3bo$o2bo$4o!14, B2ci3-cejk4cet5k6ek/S23-aiky4-knrwy5jknry6ek7e8, 17, 8, 244, 2o$b3obo$2o3$3bo$3bo$3bo$7bo$7bo$7bo!8, B2ci3-jk4e5k6ek7e/S2-n3ejnqr4aeijz5cjkn6ack7, 20, 0, 982, b2o$2bo$obo$obo$bo!9, B2ci3-ejk4ey6e8/S23-acik4aceijtz5-akq6-ai7c8, 7, 1, 320, 3o$2bo$2bo$obo$2o!16, B2ci3-ejk5k6k7e8/S23-aik4aeijnz5r6akn, 13, 4, 675, 5bobo4$5bo$bo2bobo$obo4bo$bo2bobo$2b4o!7, B2ci3-cjk4cew5k7/S2-n3-aiky4aeijntz5ek6ek7c, 4, 4, 782, 4o$o2bo$o!6, B2ci3-jk4e5k6k7e/S2-n3ejnqr4aijqz5-acqr6cek78, 20, 2, 152, bo$o$bobo$2bo$bo!19, B2ci3-cjk4cey5k6e7e8/S2-n3-aiky4aijnz5ckry6ak7c, 20, 20, 494, 8b2o$8bobo$10bo$10bo$3o5b3o$3b3o4$7b2o$6bobo!7, B2ci3-cjk4eqty5k6e7e/S23ejnqr4aeijnqz5cry7, 18, 0, 1118, 3o$2bo$2bo$b2o!9, B2ci3-cjk4w5k6e7/S23-acik4acijz5cjn6ek8, 6, 5, 273, 3bo$2obobo$o5bo$bo3bo!17, B2ci3-ejk4ctwy6k7c/S23-acik4-krwy5cenry6-ci7c, 12, 12, 946, 7bo$2b2o$bo5bo$obo4bo$3o2bo2bo$bob2o$5bo!9, B2ci3-cejk4cqw5k/S23ejnqr4aijntz5ceiky6cen7, 27, 2, 128, 3o2$obo$2o$o$4bo!6, B2ci3-jk4y5k6k7e8/S23ejnqr4-ckrwy5cikr6akn7e, 34, 34, 1534, obo$obo$2o!16, B2ci3-cejk4cqty5k78/S23-aik4aijqz5cikn6n7c, 3, 3, 1242, bo$2b2o$bo2bo$2obobo$2bobo$bo3bo$2bobo$3bo!33, B2ci3-cjk5k6e7e/S2-n3-aiky4aeijntz5-aeq6ek7e8, 68, 0, 666, b2o$bobo$2b2o5$5bo$4bo2$8b2o$ob2o5bo$bo2b4o2bo$3o2bo4b2o$9bo$3bo7bo$9b3o$9bo!7, B2ci3-jk4qt6k7e8/S2-n3ejnqr4acijnqz5eijy6kn78, 32, 32, 448, 3bo$o2bo$4o!6, B2ci3-cjk4cy6k7c/S2-n3-aiky4aijntz5-aeiq6akn78, 15, 2, 100, 3o$2bo$2o!9, B2ci3-ejk4eq5k/S2-n3-aiky4aijz5ijry6acn8, 10, 7, 396, 2o$b2o$b2o$2o$o!22, B2ci3-ejk4eq5k7e8/S2-n3-aik4aijnz5enr6acn7e, 15, 3, 282, 16bo$2bo14bobo$bo13bo2bobo$obo13b2o$2bobo10bo$16b2o$o2bo$b3o!7, B2ci3-jk4qty7e8/S2-n3ejnqr4acijtz5-aeqy6ac, 10, 9, 167, b2o$2bo$2bo$3o!5, B2ci3-ejk4cqy5k6k/S2-n3ejnqr4aijqz5-aiq6en78, 26, 26, 524, ob3o2$2bo!15, B2ci3-jk4cy6ek7e/S23-acik4acijnz5cen6ak7c, 24, 3, 230, bo$obo2bobo$3b2obo2$4b2obo$2bo3bo$3bo$4bo!7, B2ci3-jk4qty5k7e/S23-acik4aijnz5cjkry6en8, 14, 4, 230, b2o$2bo$2bo$3o!8, B2ci3-cejk4etwy5k7e8/S23-acik4aeijnqz5cy6an7c, 10, 6, 269, o$b2o$2bo$2bo$3o!8, B2ci3-cejk4ceqtwy6ek7/S2-n3-aiky4aeijntz5ejr6acn, 14, 14, 568, o2$3bo$o2bo$4o!8, B2ci3-cejk4cet5k6ek7/S23-aik4aeijqtz5cejn6akn7c, 10, 10, 1374, bo2$bo2bo$b4o$o!9, B2ci3-cjk4qw6k8/S2-n3ejnqr4aijnqtz5ejkry6ace7e, 9, 1, 240, 5bo$5bo$5bo$bo4bo$obo$b2o!7, B2ci3-cejk4ew5k7e8/S2-n3-aik4aeijnz5cejky6ak7, 26, 0, 1484, 3o$2bo$2bo$b2o!22, B2ci3-ejk4ewy5k6e7c/S23-acik4aeijz5r6-ik7e8, 23, 7, 216, 16bo2$14b2ob2o$18bo$16bobo3$o4bo$2o4bo$bobo2b2o$2bo3bo$3b2o$4bo!28, B2ci3-ejk4cqty6ek7e8/S2-n3ejnqr4aijtz5cjk6cn7e8, 51, 1, 114, 17bob2o$18bob4o$2o19b2o$o2bo2bo10bobo$ob2obobo11b2o$b2o2bobo!8, B2ci3-cejk4eqwy5k6ek78/S23-aiky4acijntz5cr6ac8, 18, 11, 207, o$b2o$2bo$2bo$3o!6, B2ci3-ejk4et7e/S23-acik4aijnz5cin6-i, 15, 8, 159, 2bo2$2o$bo$b2o!9, B2ci3-cejk4ewy5k7/S23ejnqr4aeijtz5-aqr6ak7, 8, 2, 261, 2o$b2o$b2o$2o$o!56, B2ci3-cjk4c6ek7c/S23ejnqr4aijz5cekry6aen7e, 84, 84, 336, 5b2o$4b4o$3bo3b2o$2bobo2bo2$5b2ob2o$6bo2bo$7bo$6bo$5bobo$3bo3b2o$4bo$3b2obo$5bo3bobo$5b2o2bo$4bo4b2o$10bo$7bo2bo$6bobo$9bo$8bo2$3o12$4bobo$4bobo2$4bobo$4bobo!8, B2ci3-cejk4eqy5k6e7c8/S2-n3-aik4aeijnz5-aekq6cn8, 14, 6, 247, 5bo$6bo$ob2ob2o$bo!8, B2ci3-cejk4eqwy6k7c/S23-acik4aeijnz5eikr6ae7, 8, 0, 1338, ob2o$bob2obo$2bo!19, B2ci3-cejk4tw7c8/S23ejnqr4acijqz5einry6acn78, 49, 49, 568, 3b2o$2bo$2bo$3b2o$2b4o$b2o$o3bo$2bob2o$3b2o!7, B2ci3-jk4ey6ek7c/S23ejnqr4aeijnz5eiry6ack8, 10, 10, 772, 4o$o2bo$o!15, B2ci3-cjk4cty5k6k/S23-aik4aijz5jnry6ce7c8, 16, 2, 644, b2o$bob2o$2o2bo$bo2bo$o2b2o$2o!43, B2ci3-cjk4cey6k8/S23-acik4aijnz5jy6e8, 71, 3, 223, 8b3o3bobobo$9bo3bob2o$9bobo6b2o$8bo8bobo$4bo2bo$bo3b2o$2ob2o2b3o$bo3bo$2b4o$2b2o$3b3obo$4bobo!6, B2ci3-cjk4eq5k6ek7/S2-n3-aiky4aeijqz5nry6kn78, 13, 8, 301, 3o$2bo$2o!8, B2ci3-cjk4eq6ek7e8/S2-n3-aiky4aeijqz5ekr6ae7, 9, 0, 817, bobo$bobo$bobo$o3bo!9, B2ci3-cjk4e5k6e7c8/S2-n3-acik4aeijz5cekn6k7c8, 19, 5, 134, bo$ob2o$3bo$3bo$b3o!16, B2ci3-cjk4qy7c8/S23ejnqr4aceijqz5cejkr6aek7c, 10, 2, 377, 6b2o$bo5bo$2o2b2o$bobobobo2$8bo$4bo2bo$5bo!19, B2ci3-ejk4eqwy6ek78/S23-acik4aeijntz5ceiny6cn7e8, 15, 12, 484, 7b3o$7bobo$8bo$7b2o$6b2o$6bo$obo2b2o$2o$obo!31, B2ci3-cjk4y5k6e78/S2-n3ejnqr4aeijqtz5-acnq6n7c, 19, 11, 276, 4b2o$5bo$o3b3o5bo$bo10bo$bobob2o$3bo7b3o$3bo8bo$2b3o7bo$3bo7bobo6$10b4o!10, B2ci3-cejk4cey5k6ek7/S23-aiky4acijz5eijkr6ace7, 17, 5, 208, b2o$2bo$o3bo$o$2o2bo$2bo!7, B2ci3-cejk4wy6e7e8/S2-n3-aik4aijtz5cijnr6ce7c, 25, 4, 249, 3bo$3b2o$b2obo$o!7, B2ci3-jk4eqt6e7/S2-n3-aiky4-knrwy6-i8, 52, 0, 1284, 3o$2bo$2bo$b2o!7, B2ci3-ejk4qtw6k7c8/S2-n3-acik4aijqtz5cek6e7e, 20, 4, 114, b2o$2bo$3o$2bo!9, B2ci3-cejk4cety5k7e8/S23-aik4acijqz5knry6en, 18, 5, 379, 2bo$2obo$3bo$3bo$b3o!9, B2ci3-cejk4ety5k78/S23-aik4aeijtz5cekn6ac8, 26, 3, 240, 3bo$bo3bo$2bobo$5bo$2obo!7, B2ci3-cejk4cqt5k6k7c8/S23-acik4-kqrwy5eijny6-i7c, 25, 4, 120, o$o$o2b3o$4bo!9, B2ci3-cjk4ty6e8/S23ejnqr4aijz5cejkr6ae7, 20, 1, 250, bo$o2b2o$4bo$4bo$2b3o!8, B2ci3-cjk4eq6k7e8/S2-n3-aiky4acijnz5ejkr6ac7c8, 16, 14, 226, o$b2o$2bo$2bo$3o!9, B2ci3-cejk4cetw5k7c8/S2-n3-acik4aeijqtz5ery6cn, 92, 0, 408, 2b2o$o2b2o$3b2o$bobo!6, B2ci3-ejk4qwy6e78/S23ejnqr4aijnqz5-ackq6ace8, 30, 1, 126, bo$ob2o$3b2o!8, B2ci3-jk4ct5k6e78/S23ejnqr4acijtz5cjky6ekn7, 9, 1, 253, o$b2o$2bo$2bo$3o!21, B2ci3-ejk4cetw5k6k78/S2-n3-aiky4aeijnz5einy6ce7e, 20, 1, 201, 2bobo$bo$bo3bob2o$o3bobo2bo$b2o4bobo$bo4bo2bo$7b3o!12, B2ci3-ejk4et5k7/S23-aiky4aeijqtz5ciry6k, 18, 7, 180, 3b2o$b2ob2o$6bo$o2bo$bo2bo2$4bo!8, B2ci3-cjk4cety5k6e8/S2-n3-aiky4aijnqz5cejkn6ckn7e, 13, 3, 222, bo$2o2$2o$b2o$2bo!6, B2ci3-ejk4ceqy5k6k/S23-aik4aceijnz5cr6en7e, 23, 23, 432, bo$obo$bo$o2$o!8, B2ci3-cejk4ey5k6e8/S23-acik4aceijz5cijkr6-ei7c, 15, 6, 336, o$b2o$2bo$2bo$3o!8, B2ci3-cjk4cety6ek8/S23-acik4aeijz5inr6ak7c8, 12, 5, 136, o$b2o$2bo$2bo$3o!7, B2ci3-ejk4e6ek7c/S2-n3-aiky4aceijz5cek6-in7e, 28, 28, 446, 3bo$o2bo$4o!11, B2ci3-cjk4ceqy6k/S2-n3ejnqr4aeijtz5eiry6akn7e, 17, 17, 816, 3bo$b2obo2$o3b2o$bobobo$bo!7, B2ci3-cejk4cew6ek7c8/S23-aiky4aijqz5iknry78, 14, 3, 433, b2o$2bo$2bo$3o!10, B2ci3-ejk4e5k6e7e8/S23-aik4aceijz5ejkry6n, 9, 7, 252, bo$3o2$bo$b3obo$2bo!8, B2ci3-ejk4ceqy6k7c8/S2-n3-acik4-knrwy5ikr6aen78, 18, 15, 455, o$b2o$2bo$2bo$3o!6, B2ci3-jk4qw5k6k7c8/S2-n3ejnqr4-kqrwy5cjny6ce7c8, 8, 1, 254, 2o2$bobo$2bo$bo!8, B2ci3-cjk4ce6k7c8/S23ejnqr4aijtz5ejnry6-ci7, 41, 2, 293, o$b2o$2bo$2bo$3o!6, B2ci3-cjk4ceqwy6k7/S2-n3-aiky4aceijtz5knr6-ci7, 22, 0, 758, 3o$o$b2o!23, B2ci3-cejk4etwy5k6ek7c/S23-acik4acijz5ce7e8, 62, 1, 145, 7bo$7bo$5bo4bo$4bo2b3obo$11b2o$4bobo4b2o$obo8bo$6bob3o$9bo!10, B2ci3-cjk4w7e/S2-n3-aik4acijtz5cknr6ek7, 16, 6, 377, o$3b3o$5bo$5bo$3bobo$3b2o!7, B2ci3-ejk4wy5k6k7e/S2-n3ejnqr4aeijnqz5iknr6ace7e, 27, 27, 582, 4o$o2bo$o!7, B2ci3-jk4ey6ek7e8/S23ejnqr4aijz5-acqr6-ai7c, 17, 17, 690, 3bo$o2bo$4o!6, B2ci3-ejk4eqtwy5k6ek8/S2-n3-aiky4-krwy5cein6n7e, 11, 4, 131, o$2obo$o$3bo!8, B2ci3-ejk4eqtw5k6ek7e8/S23ejnqr4aceijnz5cejk6e7c, 6, 1, 521, bo$3o2$9bobo$9b2o!9, B2ci3-ejk4et5k6ek7e/S2-n3-aiky4-krtwy5cjky6n7, 16, 16, 1162, o2b2o$o3bo$4o!15, B2ci3-jk4cey6ek/S2-n3-aiky4acijz5e6k7e, 18, 6, 192, 3bo$3bo$3bo$o$4o$obo$2o2bo$2bobo!8, B2ci3-cejk4ceqtwy5k6k7/S2-n3ejnqr4aeijtz5cjk6e7e, 36, 2, 141, o$b2o$2bo$obo$2bo$3bo!7, B2ci3-cejk4ceqtw6e7c8/S2-n3-acik4acijnqz5ikn6-ik, 25, 25, 348, 3bo$o2bo$4o!7, B2ci3-jk4ey6ek8/S23ejnqr4aijtz5cn6-ik78, 14, 3, 200, b2o$2bo$2bo$obo$3bo!7, B2ci3-cejk4eqtwy5k6ek7c/S2-n3-acik4aeijqz5eijnr6ace, 15, 3, 178, b2o$2bo$2bo$3o! This one, the largest by minpop, travels at exactly c/4 diagonal, with period 336: x = 39, y = 12, rule = B2ci3-cjk4c6ek7c/S23ejnqr4aijz5cekry6aen7e16bo$16bo$16bo18bo$26bobo7bo$2ob2o18bo2b2o7bobo$24b2o3bo3bo3b2o$2ob2o15bo3bobo3bob2o3b2o$21bo6b2obo3b3o$18bobo7bo4bo2bo$19bo3b3o6b2o$21b3o$25bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

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

218 ships in 7 million rules; 151 new and 52 improved:
# Search results matching pattern 3o$3bo$b2o! for 10 gen in rule B2eik3in4a/S2-i3nqr4az with searchRule-matchPatt2.py using seed=18, B2eik3in4anw5cejq6cen7c8/S2-i3nqr4aekrtz5acjr6n, 154, 0, 308, 3bo$2bob2o$o4bo$4b2o!7, B2eik3in4aw5aekq7c8/S2-i3knqr4cewyz5acjkn6ckn7, 71, 0, 142, 3b2o$4bo$ob3o!10, B2eik3in4aqw5an6-in/S2-i3nqr4aentwy5-ajn6ckn7c8, 13, 8, 266, o$bo$b4o$5bo$2b3o!5, B2eik3in4aeqz5ekq6ck/S2-i3knqr4acnqtwz5-eijn6e7c, 19, 1, 63, bo$o$bo2bo$3bo!6, B2eik3in4aew5cnq/S2-i3nqr4z5aciqy6cen7c, 49, 0, 98, 2b2o$3bo$2b2o$o!7, B2eik3in4aeq5acjq/S2-i3knqr4kqwyz5aikn6n7e, 116, 0, 232, 3b2o$4bo$bob2o$o!7, B2eik3in4aq5ejkq6c/S2-i3anqr4nz5aci6ekn7e, 132, 0, 264, 2b2o$3bo$b3o$o!8, B2eik3inq4anz5cnq7c8/S2-i3nqr4qtz5cjknr6c, 130, 0, 260, 2b2o$3bo$4o$bo!7, B2eik3inq4aqw5acek6c7c/S2-i3nqr4etwz5aeknr6c, 176, 0, 352, ob3o$4bo$3b2o!6, B2eik3in4az5aejkq6ekn7c/S2-i3knqr4aknqrwy5-aein6cen7c8, 21, 21, 548, o$bo$o2bo$bo$4bo!8, B2eik3inq4a5enq7c8/S2-i3nqr4acknqrt5-ajny6ce7, 20, 7, 188, 2bob2o$6bo$3b3o$o!7, B2eik3inq4aenqz5acen6cen/S2-i3nqr4cekqwz5cen6i, 134, 0, 268, b2o$2bo$3o$o!8, B2eik3inq4aew5cknq6c7c8/S2-i3knqr4cekrwz5ijkn6e7e, 184, 0, 368, o$b3o$3bo$2b2o$o!5, B2eik3inq4aqwz5ajn6ce8/S2-i3aknqr4c5-aknq6-ai, 16, 16, 538, bo$obo$bo$o!6, B2eik3in4aq5aekn6acn8/S2-i3knqr4acknrtw5-aijr6ci7, 16, 6, 134, 2b2o$3bo$obo2bo!13, B2eik3in4aeqwz5cn6en/S2-i3anqr4eqryz5ceknr6acn7c, 212, 0, 424, b2o$o15bo$16b3o$18bo$13bo3b2o$13b2o!6, B2eik3in4aenwz5aejn6k/S2-i3knqr4az5cenqr6-ce8, 17, 2, 134, obo$3o$2bo!6, B2eik3in4aewz5jkq6ce7c/S2-i3nqr4cqrz5air6-ci, 118, 0, 236, 2b2o$3bo$ob2o!10, B2eik3in4aw5cekq6cn/S2-i3knqr4aceqtwz5-ik6ce8, 206, 0, 412, 2b3o$5bo$b4o$bo$o!7, B2eik3in4aeq5cen6akn7c/S2-i3knqr4aknz5akq6-ak7c, 196, 0, 392, b3o$4bo$ob2o!9, B2eik3in4anqwz5-airy6en7c8/S2-i3nqr4kqz5-jnqy6c7c, 99, 0, 198, 2bo$2b3o$2o2bo$3b2o!6, B2eik3in4aqw5-airy6en/S2-i3knqr4acnqwz5cei6n7c8, 132, 0, 264, b2o$3bo$3o!10, B2eik3in4anqz5ceknq6c7c/S2-i3knqr4anqwy5ikqry6cn7c8, 8, 6, 413, o$bo$b4o$5bo$2b3o!17, B2eik3inq4aew5acekn6ckn7c8/S2-i3anqr4ekrtyz5ceky6aek8, 41, 41, 718, 2b2o$b2o$o$b2o4$6bo$5bo2b2o$6bo2bo$7b3o$7bo!10, B2eik3in4aqwz5en6aen7c/S2-i3knqr4acekny5ajkqr7, 36, 1, 153, o$bo$b4o$5bo$2b3o!12, B2eik3in4aq5ekn6ck7c8/S2-i3anqr4enrwyz5cnqy6ak7e8, 26, 1, 333, 5b2o$5bo$5b3o$2bo4bobo$obo$bo!7, B2eik3inq4anqz5cejn6en/S2-i3knqr4aenty5-acjy6-ik8, 9, 2, 385, 3o$3bo$b2o4$3bo!6, B2eik3inq4ae5acjn6c7c8/S2-i3knqr4kntwyz5-knq6-k7e, 65, 0, 130, o$b2o$2bo$b2o!21, B2eik3inq4aenqz5ej6kn/S2-i3nqr4aqt5-ejnr6-k8, 25, 25, 1822, 2bo$b2obo3$bo2bo$3bo$bo$2bobo$3bo$3obo$ob2o$bobo$2bo!18, B2eik3inq4aenw5ajq6cen7c/S2-i3anqr4eqt5ceikq7, 18, 18, 1298, 13bo$12bobo$12bobo$12bo2bo$o15bo$b4o8bo2bo$o13b2o!5, B2eik3in4aenw5-ciry6ckn7c8/S2-i3nqr4ackyz5ceinq6-in7c8, 40, 0, 448, bo$o3bo$3bo$bo!5, B2eik3inq4aw5ajnq6aek/S2-i3knqr4aknrw5aijk6ckn78, 20, 1, 83, b2o$o$bobo!6, B2eik3inq4aeqw5ckn6-in8/S2-i3aknqr4nqwyz5-ajqr6aek7c, 8, 3, 242, b2o$b2o$2bo$o!6, B2eik3inq4a5cjknq6ae7c/S2-i3knqr4aekqz5eikqr6-ai7c8, 11, 2, 135, 3o$3bo$b2o!6, B2eik3inq4aez5aekn6c7c/S2-i3knqr4enqyz5-aiqy6-c7c8, 61, 0, 122, o$b2o$2bo$b2o!6, B2eik3inq4aenqz5en6n8/S2-i3nqr4acknqrt5eikry6cei7e, 10, 2, 319, 3o$3bo$b2o!6, B2eik3inq4aenwz5cnq6c7c/S2-i3nqr4aqrtwy5aijq6cei7, 12, 4, 431, 3o$3bo$b2o!12, B2eik3in4aew5ackq6cen7c/S2-i3nqr4aknz5jnqr6aek7e, 77, 0, 154, o$bo$2bo$3bo8bo$14b2o$15bo$14b2o$9bo$8bo!10, B2eik3in4anwz5kq6cn8/S2-i3nqr4-cijkq5cekq6ci8, 67, 0, 134, o$bo$b4o$5bo$2b3o!4, B2eik3in4anw5acknq6aen7c/S2-i3knqr4anw5-acer6ac, 10, 1, 63, 3b2o$bo$o!7, B2eik3inq4aen5ejknq6akn8/S2-i3knqr4anqrz5-nqr6ain7e, 34, 0, 610, b2o$3bo$3o2$o!9, B2eik3inq4an5aen6-ci8/S2-i3nqr4cenqwz5inqy6akn7e, 6, 0, 1022, bo$obo$bobo$3bo3bobo$3bo!7, B2eik3in4anz5cknq6c7c8/S2-i3knqr4ekqrz5eikry6ai, 79, 0, 158, 3o$2bo$b2o$o!10, B2eik3inq4aewz5enq6ckn8/S2-i3anqr4cknt5-jnqy6-a7c8, 12, 0, 920, b2o$3bo$bo2bo$o2bo$bo$2o!5, B2eik3in4anqw5aejkn6en7c/S2-i3aknqr4kt5-any6-c7, 12, 4, 204, bo$o2bo$b2o!4, B2eik3in4aqwz5cejn6akn/S2-i3knqr4aeknqyz5eijnr6ein8, 13, 5, 195, 2bo$obo$bo!6, B2eik3in4ae5cq6e7c/S2-i3nqr4qrtyz5in6k7e, 102, 0, 204, b2o$3bo$3o!7, B2eik3in4aewz5cjnq6c/S2-i3knqr4nqwyz5eijy6ack8, 128, 0, 256, b3o$4bo$ob2o!6, B2eik3inq4aeq5eq6-in/S2-i3anqr4cekntwz5-ikr6-c7e, 11, 3, 120, o4bo$3bo$2o$2bo!9, B2eik3inq4aeqw5ajn6ae7c8/S2-i3knqr4eknrwyz5-ace6en7e, 11, 4, 263, ob3o$bo3bo$2b3o!5, B2eik3in4anz5ejkn6aek7c/S2-i3anqr4enqrtz5cikn6cek7c8, 32, 32, 534, obo2$bo$2o!5, B2eik3in4anq5cejq6k7c8/S2-i3aknqr4kwz5cejnr6ack7c, 21, 12, 111, obo2$3bo$2b2o!6, B2eik3inq4aeqz5ejknq6cek8/S2-i3aknqr4cekqrwy5aceqr6ae7, 12, 2, 399, bo$o$bo2bo$bobo!6, B2eik3in4anwz5aen6ek7c8/S2-i3knqr4aektwz5ciry6aci78, 35, 35, 578, 2o$2bo2bo$4b2o!6, B2eik3inq4ae5ejkn6k8/S2-i3knqr4knqwz5-ackr6-ci7c8, 12, 11, 195, ob2o$3bo$2b2o!6, B2eik3in4anw5ajknq6cn7c/S2-i3nqr4twz5-eik6ac, 112, 0, 224, 2b2o$3bo$ob2o!9, B2eik3inq4aeqz5ajk6kn7c8/S2-i3knqr4acknqtz5q6-kn, 25, 10, 355, 2bobo$2ob2o$3bobo$5bo!7, B2eik3inq4aenw5cjknq6ekn7c8/S2-i3knqr4aceqt5-cny6-kn7c, 17, 7, 157, bo$2b2o$o2bo$2b2o!6, B2eik3inq4aqw5cejq6ac7c/S2-i3anqr4cektw5ajqr6c7c, 8, 8, 736, 3o$3bo$b2o!10, B2eik3in4aez5cejq6c7c/S2-i3anqr4cekryz5ainr6-in8, 89, 0, 178, o$bo$b4o$5bo$2b3o!6, B2eik3in4anqwz5ejq6cen7c8/S2-i3nqr4ceknqtz5anr6-cn, 90, 0, 180, b2o$3bo$3o!6, B2eik3in4aq5k6k7c/S2-i3knqr4qrtwyz5cik6kn, 20, 1, 41, 3o$3bo$b2o!7, B2eik3inq4aew5jk6acn8/S2-i3anqr4ceknry5cknqy6-ck7c8, 17, 17, 994, bo$obo$obo$o$2bo!6, B2eik3inq4aqw5acj6cn/S2-i3nqr4cntwz5ejy6en7, 196, 0, 392, b2o$3bo$3o!6, B2eik3in4aenq5e6ekn7c/S2-i3anqr4ceknqw5-nry6-n7c, 30, 30, 436, bo$obo$obo$2bo!7, B2eik3in4aenq5-ikry6c/S2-i3nqr4knqz5ikn6cen7, 126, 0, 252, b3o$4bo$ob2o!6, B2eik3in4aqz5acknq8/S2-i3knqr4enrwz5-ceq6cei7c, 114, 0, 228, b2o$3bo$3o!6, B2eik3in4aez5-ijry6ck/S2-i3nqr4-ijn5-ceqy6c7, 14, 2, 154, 3o$3bo$b2o!6, B2eik3inq4an5acjkq6an/S2-i3nqr4aentwyz5-acjy6e, 18, 2, 144, 3o$3bo$b2o!6, B2eik3inq4aqz5acejq6k/S2-i3aknqr4enwz5-akqy6en, 26, 26, 692, 3o$obo2$2bo!6, B2eik3inq4aeqw5acekq6ek7c/S2-i3knqr4kqtwyz5-cijk6n7, 80, 0, 290, 2bo$2o$o$2o!6, 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B2eik3in4aqwz5jk6ack8/S2-i3anqr4ak5eijnq6i7e, 14, 5, 192, 3bo$2bobo$4bo$3bo$4bo$3o$2bo!6, B2eik3in4aenq5ejnq6aen7c/S2-i3anqr4nrwz5aiqr6-in7c8, 8, 7, 198, 7bo$2bo2bo$4bo$o$2bo!6, B2eik3in4aq5aeknq7c8/S2-i3anqr4cektwy5iknqy6-k7e, 15, 1, 123, ob2o$4bo$2b2o!6, B2eik3inq4aeqwz5q6n8/S2-i3aknqr4ekqtw5-ainy6-ik8, 21, 21, 514, o$obo$obo$bo!9, B2eik3in4aw5eknq6e7c/S2-i3nqr4eqwyz5-eijq6, 83, 0, 166, o$9bob2o$8bo3bo$11b2o$10bo!8, B2eik3inq4az5ej6aen8/S2-i3knqr4-eijry5cijr6-ce7e, 16, 5, 371, 2bo2$o3bo$bobo2bo$2bo2bo!8, B2eik3in4anqw5ace6ck7c8/S2-i3nqr4aekntyz5ejkny6cn, 18, 6, 228, bob2o$o3bo$3b2o$2bo!6, B2eik3in4anqz5j6ek/S2-i3nqr4eqtwz5ijkny6ae, 26, 4, 95, 3o$3bo$b2o!6, B2eik3inq4aenqw5ekq6-ik7c/S2-i3anqr4kt5eqr6ain, 7, 7, 235, ob2o$3bo$2b2o!11, B2eik3in4awz5aenq6c7c/S2-i3knqr4acnqtwy5ceqry6a, 16, 6, 800, 2obo$o6bo$o7bo$bo$4b3o!6, B2eik3in4aeq5-iqry6cn7c/S2-i3nqr4ektwyz5aeikq6n7c, 67, 0, 134, 3o$3bo$b2o!6, B2eik3in4aw5jknq6c/S2-i3knqr4nyz5-cry6ek7e, 140, 0, 280, b2o$3bo$3o!26, B2eik3inq4aewz5acjq6e7c8/S2-i3knqr4aety5-jknr6-ai7e8, 14, 9, 186, 9bo$8bobo$10bo$7b2o$6bo2b2o$8b2obo$5bo5bo$5b2o2$o3b4o2bo$bo5bo$7b2o!7, B2eik3in4aez5cejnq6cn/S2-i3nqr4eknrz5aeky6ein8, 192, 0, 384, o$3o$3bo$b2o!18, B2eik3in4aenz5eq6-in7c/S2-i3aknqr4ac5aikry6i7, 17, 10, 216, 4bo$o2bobo$bo$4bobo$bo3b2o$b2o8$7b3o$10bo$8b2o!6, B2eik3in4aeqw5ajkn6-ci7c/S2-i3aknqr4ceknq5ejky6-ak8, 20, 20, 494, b2obo$2bo2$bo$o!6, B2eik3inq4anqz5an6cen/S2-i3nqr4aet5-anq6c7e8, 32, 0, 1122, b2o$3bo$3o!5, B2eik3in4an5kq6k/S2-i3nqr4tyz5cjnqr6a, 24, 2, 74, 2bo$2bo2$bo$3bo$o!13, B2eik3inq4a5ackq6e8/S2-i3nqr4acknqrw5-ijkr6-en7c, 12, 6, 186, 2b2o$3bo$3bo$b2o$o2$6b3o$9bo$7b2o!4, B2eik3in4aen5cejkn6ekn/S2-i3nqr4acntwy5ejry6-i78, 6, 2, 213, o$2bo2$bobo!6, B2eik3inq4anz5ackn6e7c/S2-i3anqr4an5jknqy6-a8, 11, 7, 96, 3o$3bo$b2o!9, B2eik3inq4an5akn6en7c/S2-i3nqr4nqz5in6n, 77, 0, 154, 2o$ob2o$4bo$b3o!6, B2eik3inq4aeqz5acekn6ce7c/S2-i3nqr4cnyz5-ciq6ac7c8, 134, 0, 268, b2o$3bo$3o!8, B2eik3in4aenq5-eiry6cn/S2-i3knqr4atz5cq6-ik, 180, 0, 360, 2bo$3b2o$o3bo$bob2o!8, B2eik3in4aenw5ejkq6cen7c/S2-i3nqr4acrtz5-acjk6en7e, 160, 0, 320, o$b2o$2bo$3o$o!6, B2eik3in4aenqz5e6-ai/S2-i3anqr4krtw5-aejn6ce7, 16, 3, 102, 3o$3bo$b2o!6, B2eik3in4aq5ck6ace8/S2-i3aknqr4knqty5acery6-ei7c, 16, 4, 138, 4bo$3bobo$o3bo$3bo!22, B2eik3inq4anwz5acek6cn/S2-i3knqr4akqrw5cenr7, 24, 14, 950, 2bob4o$5bo2b2o$bo4bo2bo$o5bob2o$2bo4bo$bo2bo$2b3o!6, B2eik3in4aeqw5k6ck8/S2-i3aknqr4cnryz5jqr78, 44, 44, 312, 3o$bo$b2o!7, B2eik3in4aqz5cejk6ek8/S2-i3nqr4aeqrwyz5-acky6ckn7, 22, 10, 75, bo$2b2o$o2bo$2b2o!6, B2eik3in4aqw5ajnq6cn8/S2-i3aknqr4eqwy5acejn6an7e8, 17, 17, 864, 2o$obo$4bo$o!8, B2eik3in4aeqw5kn6kn7c/S2-i3knqr4enqtwz5-ceqy6a8, 54, 11, 137, bo$o$ob2o$obo$bo!6, B2eik3in4aqwz5cejq6c/S2-i3knqr4ekyz5jky, 104, 0, 208, 2b2o$3bo$ob2o!6, B2eik3in4ae5aekq6c/S2-i3nqr4kwz5aceiy6-ci, 79, 0, 158, o$b2o$3bo$b2o!7, B2eik3inq4aqwz5j6-ci8/S2-i3knqr4anqtz5-cikn6ae7, 9, 8, 416, o2$b2obo$2bo$2bo$2bo!7, B2eik3in4an5aek6a7c8/S2-i3anqr4ckntwy5cjnry6i7c, 32, 0, 658, 2bo2bo$3bo$bo3bo$obo!6, B2eik3in4anwz5ce6akn7c/S2-i3anqr4knwy5cejry6in78, 28, 28, 534, bo$obo$obo$2bo!7, B2eik3in4aeqw5cq8/S2-i3nqr4cntyz5-iy6cen8, 206, 0, 412, 2b2o$o2bo$2b2o$bo!6, B2eik3inq4anqw5ckn6ace8/S2-i3anqr4eqr5acekr6cei7c8, 10, 8, 440, 3o$3bo$b2o!6, B2eik3in4ae5acjk6e7c/S2-i3nqr4cntz5ajk6-k8, 154, 0, 308, b2o$3bo$3o!6, B2eik3inq4aenqw5ej6cek7c/S2-i3knqr4-aijkq5aciy6ci8, 10, 6, 290, o$b2o$2bo$b2o!7, B2eik3inq4anqz5enq6ckn/S2-i3aknqr4nw5-ejq6ei7e, 8, 7, 217, ob2o$4bo$b3o!20, B2eik3in4anw5aekn6-ai/S2-i3knqr4acetyz5acikr6cin7e8, 102, 0, 472, 14b3o$2bo14bo$bo11b4o$obo10bo$4bo7bo$o2bo$2bo$obo!6, B2eik3inq4aw5aejkn6a/S2-i3aknqr4ekqtwz5cenq6cn78, 16, 0, 924, b3o$o$b2o!10, B2eik3in4aeqw5aq6ak8/S2-i3nqr4enrtwyz5-ajkq6ek7e8, 48, 3, 136, 5b2o$6bo$5b2o$4bo$3bo$2o$bo!6, B2eik3inq4a5c6a/S2-i3nqr4nr5n6kn, 11, 1, 23, 3o$3bo$b2o!10, B2eik3inq4aenqz5jn6an/S2-i3knqr4acekntz5cekr6-e7c, 26, 26, 1016, bo$obo$obo$obo$2b2o$4bo!18, B2eik3in4aew5acjn6an7c/S2-i3nqr4aenqtwy5-aijn6ai7, 18, 18, 838, 2bo$bobo$bobo$bobo$2bo$3bo3$bo$2bo$3bo2$4bo$2o2b2o$bo!6, B2eik3inq4anq5acjkn6ac8/S2-i3knqr4aekqw5aci6-a7e8, 29, 29, 552, b2o$2bo$2bo$o$o!13, B2eik3inq4aqwz5aejkq6ck/S2-i3anqr4kw5acejy67e8, 28, 28, 1072, b2o$o2bo$bob2o$5bo2$4bo$5bo$3bo$4bo$2bo!6, B2eik3inq4anq6ak7c/S2-i3knqr4aknqrz5iq6-ei7e, 29, 2, 109, 2bo$2obo$obo!5, B2eik3inq4aew5cekn6ck7c8/S2-i3nqr4qrtyz5acejk6a8, 13, 4, 99, 2bo$o3bo$bo$3bo!3, B2eik3in4aenz5cknq6a/S2-i3knqr4acknrwz5aiq6i, 14, 2, 47, o$2bo$3bo!6, B2eik3inq4anq5an6-ci8/S2-i3knqr4cnqy5aeijq6cei7c8, 16, 16, 456, o2$obo$obo$bo!10, B2eik3inq4anq5ackn6akn7c8/S2-i3knqr4-cijkt5ry6a7c, 21, 5, 173, o$bo$b4o$5bo$2b3o!7, B2eik3in4anqw5cnq6cen7c8/S2-i3knqr4cenqtz5acej6ekn78, 142, 0, 284, bo$b2o$3bo$3o!5, B2eik3in4a5acen6cek7c/S2-i3aknqr4ntw5cijky6-ei7e, 15, 2, 158, bo$obo$bo$o!6, B2eik3in4aenz5aceq6cn7c/S2-i3nqr4ektz5-acjk6ack7e8, 89, 0, 178, 3o$3bo$b2o!6, B2eik3in4anq5ejkq6ekn8/S2-i3aknqr4knrtyz5-aeiy6cek7e8, 24, 8, 145, ob2o$3bo$2b2o!12, B2eik3inq4aeqw5-iqry6ce/S2-i3nqr4krtz5acejr6cek7e8, 190, 0, 380, 5bo$o5b3o$8bo$4bob3o$4b2o!6, B2eik3in4anqw5ek6-in8/S2-i3aknqr4qrtwyz5aceky6ck7e, 10, 5, 191, o$2bo$2obo$2bo!6, B2eik3inq4anqw5ej6k7c8/S2-i3nqr4acny5iqr6aek8, 10, 9, 161, o$b2o$2bo$b2o! Including various period multiples of c/2o, up to 330c/660: x = 9, y = 6, rule = B2eik3inq4aen5ckq6ce8/S2-i3nqr4acqrtyz5inry6-ac7c2bo$b2o$o2bo3b2o$o2bo4bo$3o4b2o$6bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

(9,7)c/25, 5 cells:
x = 5, y = 3, rule = B2cen3q4ekqrt5-ajry6ek7/S02ci3-ejnr4-cekz5-kqy6eik7o3bo$o$2bobo!

(10,3)c/25, 3 cells:
x = 3, y = 4, rule = B2en3ikry4-anwz5jnq6acn/S02c3aciky4ajknty5cejy6ac78o$2bo2$o!

(10,4)c/25, 3 cells:
x = 3, y = 4, rule = B2ein3ikr4eiqwz5ij6-ce7e8/S02cek3-iknr4-ceiknw5ekqy6akn78o$2bo2$o!

(9,4)c/25, 3 cells:
x = 3, y = 4, rule = B2cn3aceqy4-aejktw5-cqr6-c7c/S01c2ikn3-aiqr4-iqrtyz5acjkq6inbo$o2$2bo!

12c/36d, 4 cells:
x = 5, y = 3, rule = B2cen3nq4eqr5cq/S02ci3-nqr4airw5-ceky7c4bo2$obobo! (8,7)c/24, 5 cells: x = 3, y = 6, rule = B2ce3q4eiqr5-enry6k/S02ci3-ejn4aikr5aejnr6i7o$2bo2$2bo2$obo!

(9,5)c/25:
x = 3, y = 4, rule = B2cen3-ajnr4-aceir5jry6-ae7e/S03ckqry4-einz5-aiqr8o$2bo2$o!
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 457
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

I decided to find a (7,1)c/8 partial. However, I quickly ran into a major, potentially fatal obstacle.

This search for a (6,1)c/7 partial is SAT:
0'  0   0   0   0   0   0   0   0*'  0   0   0   0   0   0   0   0*'  x1  0   0   0   0   0   0   0*'  x2  0   0   0   0   0   0   0*'  x3  0   0   0   0   0   0   0*'  x4  0   0   0   0   0   0   0*'  x5  0   0   0   0   0   0   0*'  x6  0   0   0   0   0   0   0*'  x7  0   0   0   0   0   0   0*'  x8  0   0   0   0   0   0   0*'  0   0   0   0   0   0   0   00'  0   0   0   0   0   0   0   00'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   0*'  *   *   *   *   *   *   *   00'  *   *   *   *   *   *   *   00'  0'  0'  0'  0'  0'  0'  0   00'  0'  0'  0'  0'  0'  0'  0   00'  0'  0'  0'  0'  0'  0'  0   00'  0'  0'  0'  0'  0'  0'  x1  00'  0'  0'  0'  0'  0'  0'  x2  00'  0'  0'  0'  0'  0'  0'  x3  00'  0'  0'  0'  0'  0'  0'  x4  00'  0'  0'  0'  0'  0'  0'  x5  00'  0'  0'  0'  0'  0'  0'  x6  00'  0'  0'  0'  0'  0'  0'  x7  00'  0'  0'  0'  0'  0'  0'  x8  00'  0'  0'  0'  0'  0'  0'  0   0

Here's how one possible solution behaves in practice:
#C [[ STOP 7 ]]x = 8, y = 10, rule = B2-k3q4-ijty5ajkqy6-ek78/S1c2ak3anqry4aceikrw5-aq6-e7HistoryAB$BC$2B5.D$2B$BC$AC5.D$BC5.D$2B5.D$BC$AB5.D! (If you look closely, you may notice that the front row matches that of the actual (6,1)c/7.) However, this search for a one-row (7,1)c/8 partial returns UNSAT: 0' 0 0 0 0 0 0 0 0 0*' 0 0 0 0 0 0 0 0 0*' x1 0 0 0 0 0 0 0 0*' x2 0 0 0 0 0 0 0 0*' x3 0 0 0 0 0 0 0 0*' x4 0 0 0 0 0 0 0 0*' x5 0 0 0 0 0 0 0 0*' x6 0 0 0 0 0 0 0 0*' x7 0 0 0 0 0 0 0 0*' x8 0 0 0 0 0 0 0 0*' x9 0 0 0 0 0 0 0 0*' x10 0 0 0 0 0 0 0 0*' x11 0 0 0 0 0 0 0 0*' x12 0 0 0 0 0 0 0 0*' x13 0 0 0 0 0 0 0 0*' x14 0 0 0 0 0 0 0 0*' x15 0 0 0 0 0 0 0 0*' x16 0 0 0 0 0 0 0 0*' x17 0 0 0 0 0 0 0 0*' x18 0 0 0 0 0 0 0 0*' x19 0 0 0 0 0 0 0 0*' x20 0 0 0 0 0 0 0 0*' x21 0 0 0 0 0 0 0 0*' x22 0 0 0 0 0 0 0 0*' x23 0 0 0 0 0 0 0 0*' x24 0 0 0 0 0 0 0 0*' x25 0 0 0 0 0 0 0 0*' x26 0 0 0 0 0 0 0 0*' x27 0 0 0 0 0 0 0 0*' x28 0 0 0 0 0 0 0 0*' x29 0 0 0 0 0 0 0 0*' x30 0 0 0 0 0 0 0 0*' 0 0 0 0 0 0 0 0 00' 0 0 0 0 0 0 0 0 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 0*' * * * * * * * * 00' * * * * * * * * 00' 0' 0' 0' 0' 0' 0' 0' 0 00' 0' 0' 0' 0' 0' 0' 0' 0 00' 0' 0' 0' 0' 0' 0' 0' 0 00' 0' 0' 0' 0' 0' 0' 0' x1 00' 0' 0' 0' 0' 0' 0' 0' x2 00' 0' 0' 0' 0' 0' 0' 0' x3 00' 0' 0' 0' 0' 0' 0' 0' x4 00' 0' 0' 0' 0' 0' 0' 0' x5 00' 0' 0' 0' 0' 0' 0' 0' x6 00' 0' 0' 0' 0' 0' 0' 0' x7 00' 0' 0' 0' 0' 0' 0' 0' x8 00' 0' 0' 0' 0' 0' 0' 0' x9 00' 0' 0' 0' 0' 0' 0' 0' x10 00' 0' 0' 0' 0' 0' 0' 0' x11 00' 0' 0' 0' 0' 0' 0' 0' x12 00' 0' 0' 0' 0' 0' 0' 0' x13 00' 0' 0' 0' 0' 0' 0' 0' x14 00' 0' 0' 0' 0' 0' 0' 0' x15 00' 0' 0' 0' 0' 0' 0' 0' x16 00' 0' 0' 0' 0' 0' 0' 0' x17 00' 0' 0' 0' 0' 0' 0' 0' x18 00' 0' 0' 0' 0' 0' 0' 0' x19 00' 0' 0' 0' 0' 0' 0' 0' x20 00' 0' 0' 0' 0' 0' 0' 0' x21 00' 0' 0' 0' 0' 0' 0' 0' x22 00' 0' 0' 0' 0' 0' 0' 0' x23 00' 0' 0' 0' 0' 0' 0' 0' x24 00' 0' 0' 0' 0' 0' 0' 0' x25 00' 0' 0' 0' 0' 0' 0' 0' x26 00' 0' 0' 0' 0' 0' 0' 0' x27 00' 0' 0' 0' 0' 0' 0' 0' x28 00' 0' 0' 0' 0' 0' 0' 0' x29 00' 0' 0' 0' 0' 0' 0' 0' x30 00' 0' 0' 0' 0' 0' 0' 0' 0 0 Might this mean that (7,1)c/8 is impossible? x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 457 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project LaundryPizza03 wrote:Might this mean that (7,1)c/8 is impossible? Maybe. Can you post the exact parameters of the search? I seem to have to specify a lot of extra things for it not to give me weird shrinking stationary lines. I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule - Finish a rule with ships with period >= f_e_0(n) (in progress) AforAmpere Posts: 1047 Joined: July 1st, 2016, 3:58 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project LaundryPizza03 wrote:Might this mean that (7,1)c/8 is impossible? Not exactly; keep in mind that a second row will alter the first row's evolution. testitemqlstudop Posts: 1096 Joined: July 21st, 2016, 11:45 am Location: in catagolue ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project AforAmpere wrote: LaundryPizza03 wrote:Might this mean that (7,1)c/8 is impossible? Maybe. Can you post the exact parameters of the search? I seem to have to specify a lot of extra things for it not to give me weird shrinking stationary lines. The rule specification was pB2ac3-i45678/S012345678 (where these ships usually reside), and to avoid trivial cases I required that the population in the last generation be at least 1 (or equivalently, that at least one of the x_i's be nonzero.) If it works, then the (6,1)c/7 search should produce something whose frontend behaves like the (6,1)c/7 spaceship. (Mine behaves exactly like it.) x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 457 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project Would a (7,1)c/8 be possible in a B1e rule? testitemqlstudop Posts: 1096 Joined: July 21st, 2016, 11:45 am Location: in catagolue ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project Almost certainly not. In general, B1e relativistic ships (both front ends and back ends) are quite a bit harder to construct than B2a ones at most, if not all, speeds — and it is extremely difficult to sustain front end motion (due to more constraints on arranging the front end of the ship than with B2a) for long enough to reach exceptionally fast speeds such as (7,1)c/8. I'd love to be proven wrong, though. EDIT: Here are some existing examples of relativistic knightships in B1e. I've been unable to find anything for (5,1)c/6, but that's probably a question of computational power rather than of whether or not that speed is possible — upping the width of the front end from 14 to 15 resulted in about a 500-fold increase in CPU time for the search at height 9 (I was using the old version of LLS, so that may not correspond to any search setting on the new version), so I would expect upping the height would find something, although I don't have CPU cycles to spare. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1880 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project I found that if I place two rows instead of one, I do get a nontrivial solution as long as the rows have width at least 12: *' 0 0 0 0 0 0 0 0 0 0*' 0 0 0 0 0 0 0 0 0 0*' b1 a1 0 0 0 0 0 0 0 0*' b2 a2 0 0 0 0 0 0 0 0*' b3 a3 0 0 0 0 0 0 0 0*' b4 a4 0 0 0 0 0 0 0 0*' b5 a5 0 0 0 0 0 0 0 0*' b6 a6 0 0 0 0 0 0 0 0*' b7 a7 0 0 0 0 0 0 0 0*' b8 a8 0 0 0 0 0 0 0 0*' b9 a9 0 0 0 0 0 0 0 0*' b10 a10 0 0 0 0 0 0 0 0*' b11 a11 0 0 0 0 0 0 0 0*' b12 a12 0 0 0 0 0 0 0 0*' 0 0 0 0 0 0 0 0 0 0*' 0 0 0 0 0 0 0 0 0 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 0*' * * * * * * * * * 00' 0' 0' 0' 0' 0' 0' 0' 0 0 00' 0' 0' 0' 0' 0' 0' 0' 0 0 00' 0' 0' 0' 0' 0' 0' 0' 0 0 00' 0' 0' 0' 0' 0' 0' 0' b1 a1 00' 0' 0' 0' 0' 0' 0' 0' b2 a2 00' 0' 0' 0' 0' 0' 0' 0' b3 a3 00' 0' 0' 0' 0' 0' 0' 0' b4 a4 00' 0' 0' 0' 0' 0' 0' 0' b5 a5 00' 0' 0' 0' 0' 0' 0' 0' b6 a6 00' 0' 0' 0' 0' 0' 0' 0' b7 a7 00' 0' 0' 0' 0' 0' 0' 0' b8 a8 00' 0' 0' 0' 0' 0' 0' 0' b9 a9 00' 0' 0' 0' 0' 0' 0' 0' b10 a10 00' 0' 0' 0' 0' 0' 0' 0' b11 a11 00' 0' 0' 0' 0' 0' 0' 0' b12 a12 00' 0' 0' 0' 0' 0' 0' 0' 0 0 0 (Thanks to testitemqlstudop for pointing this out.) One of the more promising solutions is: x = 3, y = 13, rule = B2-ek3-ein4-aiz5ceknr6ain/S02aen3cjry4-eitw5-anqy6-ci7e8o$b2o$bo$b2o2$2bo2$2bo$2bo$2o$2bo$bo$2o! I am searching a ship matching the front two rows (with two additional rows of width at most 16) right now. x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 457 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project LaundryPizza03 wrote:...evidence for (7,1)c/8's existence. Nice. I'm both happy and sad hearing this. I was hoping the search was over, but now it looks like it may be possible for a ship to exist. Here's a frontend that preserves the first 3 columns through one cycle: x = 4, y = 16, rule = B2-ik3cr4-eijq5-aekq6ak7c8/S02ae3-acij4acnqtz5-cery6-en8o2$b3o$2bo$b3o$o$b3o$bo$ob2o$b3o$b2o$2b2o$2bo$2bo2$o!

EDIT, this one preserves 6:
x = 7, y = 13, rule = B2-ek3acjk4-aenqt5aek6-c78/S2akn3-ain4-eqr5aejq6-ik7e4b3o$b5o$b2ob3o$2b3o$2b3obo$3b2o$2b3obo$2b2o2bo$2bo2bo$b2o3bo$2bob2o$bo3bo$o!

Okay, things are looking promising:
x = 8, y = 13, rule = B2aci3aqy4-jknz5ceijr6cn7c/S02-en3ckr4acz5-jnr6-cn7cb2ob4o$4bobo$2bo2bobo$3b2obo$3b2ob2o$b4o$b2o4bo$3b2o2bo$b3ob2o$bo2b4o$2bo3bo$4bobo$o!

x = 7, y = 12, rule = B2aci3aeqry4-ceikr5aijkn6ikn/S1c2aik3jqr4-actyz5-aqry6ikn7c2b2ob2o$ob4o$3ob3o$o3bo$o4b2o$2b4o$bobob2o$2ob4o$3b3o$2o2b3o$2bob2o$2o3bo! 8 columns: x = 8, y = 12, rule = B2aci3acjq4cijrtz5cnqr6an/S2ak3ajqr4-jtwz5jqr67e3b5o$o2b2obo$5ob2o$2ob2obo$bobobobo$bo2b2o$o2b2ob2o$b2obo2bo$3o2bo$obobo2bo$ob2ob2o$6bo!
I and wildmyron 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
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1047
Joined: July 1st, 2016, 3:58 pm

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

Since we've got everything up to and including p7 so far, can we prove that any of (4,1)c/5, 4c/5, (3,2)c/5, (5,1)c/6, 5c/6, (4,2)c/6, (3,3)c/6, (6,1)c/7, 6c/7, (5,2)c/7 or (4,3)c/7 are at the lowest possible populations given the 5s constraints?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

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

17109 ships
matchPatt2-test.zip

Lowest MPP
x = 4, y = 4, rule = B2k3acijr4ijqty5e6c8/S2-ci3-acey4eity5-ijqy6n7ebobo$2obo$b3o$2bo! Highest period: p8988 x = 5, y = 6, rule = B2k3acijr4ijqy5e6i/S2-ci3-acey4ceiy6ein7e8b2o2$obo$4bo$b3o$2bo! Slowest: 3c/7384d x = 148, y = 34, rule = B2k3acijr4ijqty6in78/S2aek3ijnqr4city5n6ei7e87b2o$6bob2o$3b2ob2o$b3o2bo$o2bo$o$2o3bo$2bo2b2o$3b3o23$146bo2$147bo! If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 3111
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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

I am now convinced that (7,1)c/8 is right around the corner:
x = 10, y = 12, rule = B2aci3aj4cijkrtz5ajkqy6kn78/S2ak3ejkqr4cijqtwz5-aenr6ace7e85b2ob2o$4b5o$2o3bo2b2o$2ob2o2bo$2o4b2obo$3ob4o$o6bobo$2b2o5bo$4bobobo$bo7bo$bobo3b2o$8bo! This preserves 10 columns in the first 8 generations. It's out there. I and wildmyron 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 - Finish a rule with ships with period >= f_e_0(n) (in progress) AforAmpere Posts: 1047 Joined: July 1st, 2016, 3:58 pm ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project That's an awfully nice thing to wake up to. I wonder how high the "optimum population" for later (x-1,1)c/x ships will get, if they can even be proven to exist at all... Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3466 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Smallest Spaceships Supporting Specific Speeds (5s) Project 19 ships in 8 million rules (albeit a very slow search): # Search results matching pattern o$2bo2$bo! for 8 gen in rule B2kn3-nq4cnqtwyz5-aky6ein7e/S01e2eik3aeqy4ajknqtz5-cqr6i78 with searchRule-matchPatt2.py using seed=13, B2kn3-cnq4entwy5-aqy6-an8/S01e2eik3en4acijt5aejkn6-ac7e, 26, 26, 328, 2bo$o$3bo!3, B2kn3-ny4enqty5-aeny6-ce/S01e2eik3-ijnr4aekqwz5aijny6in7e8, 21, 21, 258, 2bo$o$3bo!5, B2ik3-knq4ntz5cinr6i7c/S01e2eik3ek4acijkwz5aejn6k7e, 72, 0, 144, 2bo$obo$2bo$2bo!3, B2ikn3-ckn4cnqtwy5ijr6-an7/S01e2ikn3-ijqr4aceijnt5ajnry6ei7, 5, 1, 177, o$2bo2$bo!3, B2kn3-kn4cekntz5-jny6-a7e8/S01e2eik3cekry4ajknqt5aeny6ek78, 40, 0, 316, bo2$2bo$o!7, B2ikn3-ckn4eknqtz5aijry67e/S01e2ik3enqr4ajknqtw5aijny6ei78, 6, 2, 409, 5bo$bo3bo$bo3bo$o2bo!8, B2kn3-kn4cenqtwy5-acq6ai7c/S01e2eik3aenqy4acejqz5ajkny7e8, 5, 3, 266, bo$bobo$bo$bo$4bo4$o$bo!6, B2ikn3aeijq4cknqtz5-cjy6-an78/S01e2eik3-cijn4aceijnz5-cqr6n7e8, 16, 3, 235, bo$2obo$3bo$2bo!5, B2k3-cknr4knqt5-cej6i7e/S01e2eik3eqry4ain5aijny6e7e, 38, 38, 166, 3b2o$o$3bo$5bo!5, B2ik3-nqy4cntw5-eny6-a7e/S01e2-ac3eky4aejqz5-ckqy6n7, 45, 3, 178, bo$o2bo$o$2bo!7, B2ikn3aeijr4cknqt5-ckqy6ikn7c/S01e2-ac3ceqry4acnz5aeny7e8, 3, 3, 610, 7bo7$o$b2o2bo$o4bo!11, B2ikn3-kn4nty5-ajk6-an7e8/S01e2ik3aeqy4acinw5aknry6ek7e8, 26, 0, 730, 7bo$ob3o2bo$2bobo3bobo$8bo!5, B2ik3-ny4enty5-cek6-ck78/S01e2-ac3ekqy4-cjkry5-cqry6ik7e8, 10, 0, 605, 4bo$o$4bo$2b2o!3, B2k3-kny4entw5-akq6aei7c8/S01e2eik3cery4aqwz5aejnr6ei7e, 19, 1, 153, o$2bo2$bo!3, B2k3-knq4cnqtwy5inqr6-n7/S01e2-ac3enqr4aeiq5aejny6ein7e, 7, 4, 154, o$2bo2$bo!5, B2ikn3-knqy4enqtwy5-eknq6cik78/S01e2-ac3cekny4acqtz5aeiny6ein78, 26, 0, 558, 2bo$obo$2bo$2bo!7, B2kn3-kny4knt5-ejk6-cn7/S01e2eik3acek4aeijkqz5-ckq6e7e8, 1, 1, 1196, bo$b2o2$4o!4, B2kn3-ny4nqtwz5-ckqy6-cn/S01e2ikn3aekry4acikqw5aeikn6in78, 7, 2, 243, o2$bo$bo2bo!6, B2ik3-cny4ceknqty5-ejkn6-ck7e/S01e2eik3ae4-ejkry5-ckq6ein7e8, 14, 14, 762, 5bo4$9bobo2$9bobo$o! x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o\$2o!

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LaundryPizza03

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