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Smallest Spaceships Supporting Specific Speeds (5s) Project

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

Postby Moosey » July 30th, 2019, 8:01 am

A weird osc in one of launrypizza03's rules:
x = 13, y = 9, rule = B2n3-knqy5acjry6-ek7c8/S2-i3-acky4eiqtz5cq6-c7e8
2bo$b3o$o3bo$2ob2o2$8b2ob2o$8bo3bo$9b3o$10bo!


Predecessor for a diagonal ship
x = 7, y = 7, rule = B2n3-knqy5acjry6-ek7c8/S2-i3-acky4eiqtz5cq6-c7e8
3o$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?"
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby LaundryPizza03 » July 30th, 2019, 9:20 am

(9,6)c/24, 5 cells:
x = 3, y = 3, rule = B2i3-ceny4ajtz5-cein6-ei7c/S1e2in3-cjqy4-jknyz5aceiy6-ae8
obo$obo$2bo!

EDIT:
(8,5)c/24, 4 cells:
x = 4, y = 3, rule = B2cei3ekqr4-krtw5ejkqy6an8/S2-ac3airy4acjknqz5a6ac
3bo$obo$bo!

(8,7)c/24, 3 cells:
x = 4, y = 3, rule = B2-an3acqy4ceiknty5eir6-k/S02n3ejq4-enqtz5eknqr6ci7
o2$bobo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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

Postby LaundryPizza03 » July 30th, 2019, 1:35 pm

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-aj6ein7c8
o$bo$bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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

Postby LaundryPizza03 » July 30th, 2019, 7:39 pm

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/S2cn3nq
o$bo$bo!

#C [[ STOP 31 ]]
x = 2, y = 3, rule = B2-in4ikwyz5qy/S2cn3cq
o$bo$bo!

#C [[ STOP 31 ]]
x = 2, y = 3, rule = B2-in3r4kwy5qry/S2cn3c4n
o$bo$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  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  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  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  0  0  0  0  0  0  0  0  0  0
0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0  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  0  0  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  0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  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  0  0  0
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  0  0
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  0  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0
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  0  0
0' 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  0
0' 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  0
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0
0' 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  0
0' 0' 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
0' 0' 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
0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0
0' 0' 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
0' 0' 0' 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' 0' 0' 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' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0
0' 0' 0' 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' 0' 0' 0' 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' 0' 0' 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' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0
0' 0' 0' 0' 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' 0' 0' 0' 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' 0' 0' 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' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0
0' 0' 0' 0' 0' 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' 0' 0' 0' 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' 0' 0' 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' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0
0' 0' 0' 0' 0' 0' 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' 0' 0' 0' 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' 0' 0' 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' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' *  0  0  0

0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0' 0  0  0
0' 0' 0' 0' 0' 0' 0' 0' 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' 0' 0' 0' 0' 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' 0' 0' 0' 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' 0' 0' 0' 0' 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/S234k5j
2b2o$b2o$2o!

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

Postby LaundryPizza03 » July 31st, 2019, 8:37 pm

# Search results matching pattern o$2bo2$o! for 10 gen in rule B2ein3cikqr4aceikrw5nqy6ack7c/S02cik3aceij4jnqt5qy6a7e with searchRule-matchPatt2.py using seed=10
3, 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/S234k5j
2b2o$b2o$2o!

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

Postby Saka » August 1st, 2019, 6:23 am

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=29
10, 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-i7
bo2bo$b3o$3obo$2bo!

Highest period: p2706
x = 9, y = 5, rule = B2ce3cqr4aeikr5-iknq6-n7c8/S12in3eqr4-ejkz5-r67
4bo$b5obo$o4b2obo$b5obo$bob2o!

Minpop 56
x = 31, y = 8, rule = B2ce3q4aeikr5-cinq6-n7c8/S12in3cer4-ej5-r67
21bo$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/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby Saka » August 2nd, 2019, 3:49 am

a 21c/34o found by matchPatt2
x = 2, y = 3, rule = B2acn3aekn4-jknwy5ajy6ei8/S1c2ein3ijq4cty5en6i
bo$o$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/S1c2ein3ijq4cty5en6i
o$bo$b2o$bo$o!
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby LaundryPizza03 » August 3rd, 2019, 3:30 am

Assorted SMOS-like searches, not surprisingly consisting mostly of SMOSses:
# Search results matching pattern 2o8bo$b2o7b2o$2o8bo! for 5 gen in rule B35r/S2-i34iw with searchRule-matchPatt2.py using seed=10
10, B3-knq4cenqtwy5cqry6ik8/S2-ik3-k4iknqrwz5aejk6i78, 77, 0, 387, 2o4bo$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=10
8, 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=10
5, 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=10
8, 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-cejnz5ceny6cn7c
o2$2bo2$2bo!


EDIT: (10,5)c/25:
x = 2, y = 5, rule = B2cik3-ceij4qyz5-acnq6-ai7e8/S02e3cqy4-aceky5aeinq6-ai7c
bo2$o2$o!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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

Postby muzik » August 3rd, 2019, 9:39 am

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

Postby LaundryPizza03 » August 4th, 2019, 2:25 am

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=10
11, 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/S23ejnqr4aijz5cekry6aen7e
16bo$16bo$16bo18bo$26bobo7bo$2ob2o18bo2b2o7bobo$24b2o3bo3bo3b2o$2ob2o
15bo3bobo3bob2o3b2o$21bo6b2obo3b3o$18bobo7bo4bo2bo$19bo3b3o6b2o$21b3o$
25bo!
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

Postby LaundryPizza03 » August 4th, 2019, 3:13 pm

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=1
8, 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, B2eik3inq4anwz5ace6kn/S2-i3nqr4cent5ijkq6-i7e8, 23, 1, 120, 3o$3bo$b2o!
6, B2eik3in4a5ceq6e7c/S2-i3aknqr4nqrz5ijkry6ack, 138, 0, 276, b2o$3bo$3o!
6, B2eik3inq4anq5cen6c7c/S2-i3aknqr4eknw5-aejk6cn7e, 16, 3, 144, ob2o$3bo$2b2o!
6, B2eik3in4anqz5en6ck7c/S2-i3aknqr4ekqwz5jkr6-cn7c, 9, 8, 192, 3o$3bo$b2o!
4, B2eik3in4aeqw5cen6aen/S2-i3nqr4-eijry5-cijr6-ek7c, 13, 1, 128, 2bo$obo$bo!
6, B2eik3inq4aq5e6ek7c8/S2-i3knqr4aknqz5-aijr6-ei8, 32, 32, 356, bo$obo$obo$2bo!
7, B2eik3in4anwz5acj6k/S2-i3nqr4-aijnq5ejkr6e7c, 48, 1, 115, bo$2b2o$o2bo$2b2o!
6, B2eik3in4anqw5cq6ck8/S2-i3aknqr4cenqrw5er6cn7c8, 23, 6, 198, 3o$3bo$b2o!
4, B2eik3in4an5aj6ace7c8/S2-i3anqr4nqtwyz5ceknr6aik7c, 58, 0, 386, 3bo2$3bo$bo$o!
6, B2eik3in4aez5akn6aek/S2-i3nqr4aeknty5enr7e, 37, 10, 136, obo$3o$2bo!
10, B2eik3in4aqwz5ejkn6aen7c/S2-i3nqr4cknqwz5-acy6ck78, 31, 21, 149, 2bo$bobo$bobo$o3bo$bo$o$2bo!
6, B2eik3inq4awz5aq6ek7c8/S2-i3aknqr4eknqrwz5cr6c7c8, 37, 37, 506, 2ob3o$5bo!
14, B2eik3in4anz5ck6an7c8/S2-i3aknqr4cknqwz5-cknq, 25, 8, 228, 5bo$6b2o$8bo$4bob2o$2bo$bo2bo$o$b2o$2bo!
10, B2eik3inq4aqw5ajnq6ace8/S2-i3knqr4aknty5ciq6-a, 19, 19, 1332, o$b2o$2bobo$2bobo$2bobo$3bo!
6, B2eik3in4aez5cen6k/S2-i3nqr4ktyz5-ceny6cei7, 38, 3, 85, o$b2o$2bo$b2o!
7, B2eik3inq4an5eq6akn/S2-i3aknqr4cnqrt5ciknq6an7c8, 38, 0, 556, b3o$4bo$ob2o!
6, B2eik3inq4az5acj6aen7c/S2-i3knqr4aknrz5jkr6in7e, 15, 13, 146, 2obo$bo$3bo2$4bo!
6, B2eik3in4anw5aceq6e7c/S2-i3knqr4cqtyz5acn6n, 128, 0, 256, b2o$3bo$3o!
6, B2eik3inq4aeqz5cjn6an7c8/S2-i3nqr4nqrwyz5-qry6cek7c8, 24, 14, 206, b2o$2bo$obo$bo!
9, B2eik3in4aen5aej6-i7c/S2-i3anqr4cknty5-jq6c7e8, 8, 1, 273, 5bob2o$4bo3bo$7b2o$6bo2$o!
6, B2eik3inq4aeqz5ack6akn8/S2-i3aknqr4cekt5-eiry6-n7e8, 17, 1, 260, 3o$3bo$b2o!
10, B2eik3inq4anqw5cejkn6n8/S2-i3knqr4ckqty5ceijy6ekn7c8, 9, 8, 437, o$bo$b4o$5bo$2b3o!
6, B2eik3inq4anqz5k7c/S2-i3nqr4acety5qry6-ac78, 2, 2, 744, 3o$obo2$2bo!
6, B2eik3inq4aqwz5ackn6aen8/S2-i3knqr4acnty5ciq6ai7e8, 16, 3, 206, o$b2o$2bo$b2o!
5, B2eik3in4a5aknq6-ci7c/S2-i3nqr4-ijry5ainy6ein8, 27, 27, 358, 3bo$b3o$o!
8, B2eik3inq4aeqw5cenq6c/S2-i3nqr4acenyz5nr6ain7e, 200, 0, 400, 2bo$3b2o$o3bo$bob2o!
7, B2eik3in4aeqz5cjq6aek7c8/S2-i3anqr4kntwy5eknr6ikn7e, 21, 5, 194, b3o$bo$3o!
7, B2eik3inq4anqwz5cq/S2-i3knqr4nz5ainy6eik7c, 158, 0, 316, bo$b2o$3bo$3o!
5, B2eik3inq4anq5aek6cek/S2-i3nqr4aekqy5-eiqy6-ae7e, 9, 4, 260, o$o$bo$4bo$2bo!
10, B2eik3inq4anwz5aceq6n7c/S2-i3knqr4etyz5ey6-ak7c8, 73, 0, 146, o$bo$b4o$5bo$2b3o!
7, B2eik3in4aenwz5aceq6k7c8/S2-i3knqr4anqrtwz5ejnqy6-ai8, 12, 8, 218, ob2o$4bo$b3o!
10, B2eik3in4aenqw5acejn6e7c/S2-i3knqr4acqz5-eqr6kn7c8, 142, 0, 284, 2b3o$5bo$b4o$bo$o!
8, B2eik3in4anqwz5anq6ce8/S2-i3nqr4ckrz5acekq6-i7e, 67, 0, 134, b2o$2b2o$o3bo$2b2o!
6, B2eik3in4anqz5ckn6cn7c/S2-i3knqr4knqrz5qy6a, 120, 0, 240, b2o$3bo$3o!
6, B2eik3in4aenwz5kq6n7c8/S2-i3nqr4acknqry5-ak6acn7e, 6, 2, 293, ob2o$4bo$2b2o!
6, B2eik3in4an5aknq6ekn/S2-i3anqr4cenrw5aikry6-ek78, 15, 1, 120, ob2o$3bo$2b2o!
6, B2eik3in4aqwz5cnq6cn/S2-i3nqr4eqrwyz5qr6cek, 122, 0, 244, o$2b2o$3bo$2b2o!
6, B2eik3inq4aew5cej/S2-i3nqr4kqrtz5aeij6ae7c, 100, 0, 200, b2o$3bo$3o!
6, B2eik3in4aeqwz5aekq6-ei7c8/S2-i3anqr4ekqty5kry6-ai78, 19, 7, 195, 3o$3bo$b2o!
6, B2eik3inq4aeq5cn6cen7c/S2-i3knqr4nwz5anry6c7c, 130, 0, 260, b2o$2bo$b2o$o!
6, B2eik3in4anz5ejn6cek7c/S2-i3aknqr4qrwy5-kny6-n7c, 13, 13, 1070, o2$obo$3o!
7, B2eik3inq4az5ej6an/S2-i3aknqr4ackt5cekqr6aen8, 11, 3, 142, 4bobo$7bo$5b2o$bo$o!
6, B2eik3in4ae5enq6e7c8/S2-i3knqr4eknqtz5aejr6, 71, 0, 142, o$b2o$2bo$b2o!
10, B2eik3in4ae5n6ack8/S2-i3anqr4aeknr5aejy6ekn, 30, 30, 1002, bo$obo$obo$obo$2b2o$4bo!
8, B2eik3inq4anwz5aq6ekn7c8/S2-i3nqr4aenqr5eijq6k7c, 40, 0, 578, b3o$o2bo$ob2o!
6, B2eik3inq4awz5jnq6ak8/S2-i3nqr4aknrw5-acjk6ci7e, 9, 3, 175, o$b2o$2bo$b2o!
5, B2eik3inq4anqw5cnq6akn7c/S2-i3knqr4-aijqy5-iny6ai7, 13, 3, 138, o$2o$o$o!
8, B2eik3inq4aeq5-ciry6ekn/S2-i3anqr4eknqryz5aery6aei7e, 19, 19, 848, 5bo$bo4bo2$o$2obo$2bo!
7, B2eik3in4aq5ack6a8/S2-i3knqr4-ijyz5qy6ain7e8, 16, 12, 162, ob2o$4bo$b3o!
10, B2eik3in4an5cn6a/S2-i3nqr4acnrty5-knq6ckn, 16, 10, 173, o$bo$b4o$5bo$2b3o!
6, B2eik3inq4aenw5ejq6kn7c/S2-i3knqr4cqtwz5-aekr6k7, 74, 0, 838, b2o$2bo$b2o$o!
20, B2eik3inq4aenqwz5cek6cek/S2-i3knqr4knyz5cikqr6en7c8, 104, 0, 404, 2b2o18$5bo$3bo$4bobo2$3b3o$3b2o$bo2bo$3bo$o$bobo$b3o!
12, B2eik3inq4aenqw5anq6a7c8/S2-i3knqr4eknqtyz5inqr6-ce7e, 13, 12, 156, 3bo$bo$2o$bo$bo2bo$2bobo$2bobo$3bo!
16, B2eik3inq4aen5ckq6ce8/S2-i3nqr4acqrtyz5inry6-ac7c, 330, 0, 660, 2bo$b2o$o2bo3b2o$o2bo4bo$3o4b2o$6bo!
6, B2eik3in4aenz5acjnq6k8/S2-i3aknqr4acnqrz5-acy6cin, 17, 1, 258, ob2o$3bo$2b2o!
5, B2eik3inq4aeqwz5cjkn6cek8/S2-i3nqr4aqtwz5eijn6ai7c, 21, 21, 426, bo$2bo$2b2o$o!
6, B2eik3in4aqw5cenq6cen/S2-i3knqr4enwz5-ijn6cn7e, 126, 0, 252, b2o$2bo$b2o$o!
7, B2eik3in4aqwz5anq6cen7c8/S2-i3knqr4ntyz5acq6ekn7e, 144, 0, 288, b3o$4bo$ob2o!
6, B2eik3inq4aq5-ciry6ace8/S2-i3aknqr4cnqtwy5ikqy6aen7e8, 12, 10, 319, b2o$b2o$o$bo!
6, B2eik3in4aenqz5ajn6ck7c8/S2-i3knqr4acknr5-kn6eik7c, 5, 5, 377, ob2o$3bo$2b2o!
6, B2eik3inq4aqwz5aejn6an7c8/S2-i3aknqr4cknqwz5-ikny6ac8, 9, 3, 202, ob2o$3bo$2b2o!
10, B2eik3inq4anwz5eknq6ack7c/S2-i3nqr4ackqyz5-aej6cei8, 7, 1, 278, 6bo$bo2bo$3ob2o$o$3bo!
6, B2eik3inq4awz5ckq6-ik/S2-i3nqr4acenwz5-cn6-a78, 40, 0, 1100, 2b2o$3bo$ob2o!
6, B2eik3inq4az5ae6ae/S2-i3nqr4cnqtwz5eijnq6aen7, 28, 5, 87, o$2o$2bo$2o!
6, B2eik3inq4anwz6ae8/S2-i3nqr4atwz5-nr6-ci7e8, 2, 0, 1230, 2bo$2o$o$2o!
6, B2eik3inq4a5cejq6ce8/S2-i3aknqr4ekwy5cjq6aik8, 21, 21, 684, bo$obo$o2$3bo$2bo!
6, B2eik3inq4aqz5ejk6kn7c/S2-i3anqr4ekn5aekry6-ek8, 19, 6, 225, 3bo$3o2bo2$bo!
5, B2eik3inq4aw5acenq6aek7c8/S2-i3knqr4ackntwz5aknr6ci7c, 23, 23, 1068, 3bo$2bo$o$2bo$bo!
6, B2eik3in4aeq5cknq6k8/S2-i3nqr4qwz5enqy6i, 29, 0, 59, o$b2o$2bo$b2o!
5, B2eik3inq4aqz5ack6aek8/S2-i3knqr4aknqz5ay6a7, 22, 1, 91, 2b3o$obo!
6, B2eik3inq4aeqz6-ai7c8/S2-i3knqr4aenqty5-nqy6ac7e8, 6, 1, 280, 2o$bo$3bo$bo2$o!
11, B2eik3in4awz5cjn6ek8/S2-i3nqr4acentyz5aikny6ikn7c, 22, 1, 145, bo2$bobo2$2b2o$o$2bo$bobo$o$2bo!
6, B2eik3inq4an5ck6-ci7c8/S2-i3nqr4aknrz5-ei6-a7c8, 36, 0, 644, 2o2b2o$2bo$3bo!
6, B2eik3in4aeqw5cj6c7c/S2-i3knqr4eqrwz5acknq6-ck, 106, 0, 212, o$2b2o$3bo$2b2o!
6, B2eik3inq4aw5enq6aek8/S2-i3nqr4akntz5aiqy6ac7c, 67, 67, 456, bo$obo$obo$2bo!
6, B2eik3in4aqwz5ckn6aek/S2-i3nqr4anqwyz5-eijk6kn7c, 100, 0, 304, b2o$3bo$3o!
6, B2eik3in4aq5aq6ce7c/S2-i3nqr4nqtz5cjn6ekn, 47, 0, 94, 3o$3bo$b2o!
6, B2eik3inq4aq5acnq6cn/S2-i3knqr4kntz5-aijq7e, 124, 0, 248, o$2b2o$3bo$2b2o!
6, B2eik3inq4aew5ce6cek7c8/S2-i3anqr4cenqty5-eijq6ikn8, 5, 1, 300, bo$o$o$o$b2o!
13, B2eik3inq4aenq5aejk6aek7c8/S2-i3knqr4aknw5cry6ain7e, 20, 8, 824, 14b2o$13bo2bo$13bo3b2o$o13bo4bo$16b3o!
11, B2eik3in4aqw5-ikry6aek7c/S2-i3nqr4acnqrtw5aijkq6-ak7c, 15, 15, 1010, 2bo$bobo$b4o$b2o$o2$5bo!
6, B2eik3in4aeqw5c/S2-i3aknqr4ekz5eijk6cin, 166, 0, 332, b2o$3bo$3o!
5, B2eik3in4aenw5ekq6cn8/S2-i3aknqr4ektw5acekq6cn7c, 14, 5, 93, obo$5bo$3bo$5bo!
5, B2eik3inq4aq5cjkq6aen8/S2-i3knqr4-ijrw5einq6ci7c, 38, 38, 196, obo$o$3bo$bo!
6, B2eik3inq4aqw5anq6-in/S2-i3nqr4ackrty5aiqr6aek, 3, 3, 962, o$obo$obo$bo!
10, 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-ac7c
2bo$b2o$o2bo3b2o$o2bo4bo$3o4b2o$6bo!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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

Postby LaundryPizza03 » August 5th, 2019, 3:43 am

(9,7)c/25, 5 cells:
x = 5, y = 3, rule = B2cen3q4ekqrt5-ajry6ek7/S02ci3-ejnr4-cekz5-kqy6eik7
o3bo$o$2bobo!

(10,3)c/25, 3 cells:
x = 3, y = 4, rule = B2en3ikry4-anwz5jnq6acn/S02c3aciky4ajknty5cejy6ac78
o$2bo2$o!

(10,4)c/25, 3 cells:
x = 3, y = 4, rule = B2ein3ikr4eiqwz5ij6-ce7e8/S02cek3-iknr4-ceiknw5ekqy6akn78
o$2bo2$o!

(9,4)c/25, 3 cells:
x = 3, y = 4, rule = B2cn3aceqy4-aejktw5-cqr6-c7c/S01c2ikn3-aiqr4-iqrtyz5acjkq6in
bo$o2$2bo!

12c/36d, 4 cells:
x = 5, y = 3, rule = B2cen3nq4eqr5cq/S02ci3-nqr4airw5-ceky7c
4bo2$obobo!

(8,7)c/24, 5 cells:
x = 3, y = 6, rule = B2ce3q4eiqr5-enry6k/S02ci3-ejn4aikr5aejnr6i7
o$2bo2$2bo2$obo!

(9,5)c/25:
x = 3, y = 4, rule = B2cen3-ajnr4-aceir5jry6-ae7e/S03ckqry4-einz5-aiqr8
o$2bo2$o!
x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

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

Postby LaundryPizza03 » August 5th, 2019, 6:32 am

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   0
0'  0   0   0   0   0   0   0   0

0'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   0

0'  0'  0'  0'  0'  0'  0'  0   0
0'  0'  0'  0'  0'  0'  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'  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-e7History
AB$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   0
0'  0   0   0   0   0   0   0   0   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
*'  *   *   *   *   *   *   *   *   0
0'  *   *   *   *   *   *   *   *   0

0'  0'  0'  0'  0'  0'  0'  0'  0   0
0'  0'  0'  0'  0'  0'  0'  0'  0   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'  0'  x2  0
0'  0'  0'  0'  0'  0'  0'  0'  x3  0
0'  0'  0'  0'  0'  0'  0'  0'  x4  0
0'  0'  0'  0'  0'  0'  0'  0'  x5  0
0'  0'  0'  0'  0'  0'  0'  0'  x6  0
0'  0'  0'  0'  0'  0'  0'  0'  x7  0
0'  0'  0'  0'  0'  0'  0'  0'  x8  0
0'  0'  0'  0'  0'  0'  0'  0'  x9  0
0'  0'  0'  0'  0'  0'  0'  0'  x10 0
0'  0'  0'  0'  0'  0'  0'  0'  x11 0
0'  0'  0'  0'  0'  0'  0'  0'  x12 0
0'  0'  0'  0'  0'  0'  0'  0'  x13 0
0'  0'  0'  0'  0'  0'  0'  0'  x14 0
0'  0'  0'  0'  0'  0'  0'  0'  x15 0
0'  0'  0'  0'  0'  0'  0'  0'  x16 0
0'  0'  0'  0'  0'  0'  0'  0'  x17 0
0'  0'  0'  0'  0'  0'  0'  0'  x18 0
0'  0'  0'  0'  0'  0'  0'  0'  x19 0
0'  0'  0'  0'  0'  0'  0'  0'  x20 0
0'  0'  0'  0'  0'  0'  0'  0'  x21 0
0'  0'  0'  0'  0'  0'  0'  0'  x22 0
0'  0'  0'  0'  0'  0'  0'  0'  x23 0
0'  0'  0'  0'  0'  0'  0'  0'  x24 0
0'  0'  0'  0'  0'  0'  0'  0'  x25 0
0'  0'  0'  0'  0'  0'  0'  0'  x26 0
0'  0'  0'  0'  0'  0'  0'  0'  x27 0
0'  0'  0'  0'  0'  0'  0'  0'  x28 0
0'  0'  0'  0'  0'  0'  0'  0'  x29 0
0'  0'  0'  0'  0'  0'  0'  0'  x30 0
0'  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/S234k5j
2b2o$b2o$2o!

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

Postby AforAmpere » August 5th, 2019, 10:06 am

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

Postby testitemqlstudop » August 5th, 2019, 10:52 am

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

Postby LaundryPizza03 » August 5th, 2019, 12:58 pm

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/S234k5j
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby testitemqlstudop » August 6th, 2019, 4:24 am

Would a (7,1)c/8 be possible in a B1e rule?
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby A for awesome » August 6th, 2019, 8:55 am

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)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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

Postby LaundryPizza03 » August 6th, 2019, 6:41 pm

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
*'  *   *   *   *   *   *   *   *   *   0

0'  0'  0'  0'  0'  0'  0'  0'  0   0   0
0'  0'  0'  0'  0'  0'  0'  0'  0   0   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'  0'  b2  a2  0
0'  0'  0'  0'  0'  0'  0'  0'  b3  a3  0
0'  0'  0'  0'  0'  0'  0'  0'  b4  a4  0
0'  0'  0'  0'  0'  0'  0'  0'  b5  a5  0
0'  0'  0'  0'  0'  0'  0'  0'  b6  a6  0
0'  0'  0'  0'  0'  0'  0'  0'  b7  a7  0
0'  0'  0'  0'  0'  0'  0'  0'  b8  a8  0
0'  0'  0'  0'  0'  0'  0'  0'  b9  a9  0
0'  0'  0'  0'  0'  0'  0'  0'  b10 a10 0
0'  0'  0'  0'  0'  0'  0'  0'  b11 a11 0
0'  0'  0'  0'  0'  0'  0'  0'  b12 a12 0
0'  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-ci7e8
o$b2o$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/S234k5j
2b2o$b2o$2o!

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

Postby AforAmpere » August 6th, 2019, 6:59 pm

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-en8
o2$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-ik7e
4b3o$b5o$b2ob3o$2b3o$2b3obo$3b2o$2b3obo$2b2o2bo$2bo2bo$b2o3bo$2bob2o$b
o3bo$o!


Okay, things are looking promising:
x = 8, y = 13, rule = B2aci3aqy4-jknz5ceijr6cn7c/S02-en3ckr4acz5-jnr6-cn7c
b2ob4o$4bobo$2bo2bobo$3b2obo$3b2ob2o$b4o$b2o4bo$3b2o2bo$b3ob2o$bo2b4o$
2bo3bo$4bobo$o!


x = 7, y = 12, rule = B2aci3aeqry4-ceikr5aijkn6ikn/S1c2aik3jqr4-actyz5-aqry6ikn7c
2b2ob2o$ob4o$3ob3o$o3bo$o4b2o$2b4o$bobob2o$2ob4o$3b3o$2o2b3o$2bob2o$2o
3bo!


8 columns:
x = 8, y = 12, rule = B2aci3acjq4cijrtz5cnqr6an/S2ak3ajqr4-jtwz5jqr67e
3b5o$o2b2obo$5ob2o$2ob2obo$bobobobo$bo2b2o$o2b2ob2o$b2obo2bo$3o2bo$obo
bo2bo$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)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 7th, 2019, 8:42 am

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

Postby Saka » August 7th, 2019, 9:02 am

17109 ships
matchPatt2-test.zip
(341.05 KiB) Downloaded 73 times


Lowest MPP
x = 4, y = 4, rule = B2k3acijr4ijqty5e6c8/S2-ci3-acey4eity5-ijqy6n7e
bobo$2obo$b3o$2bo!

Highest period: p8988
x = 5, y = 6, rule = B2k3acijr4ijqy5e6i/S2-ci3-acey4ceiy6ein7e8
b2o2$obo$4bo$b3o$2bo!

Slowest: 3c/7384d
x = 148, y = 34, rule = B2k3acijr4ijqty6in78/S2aek3ijnqr4city5n6ei7e8
7b2o$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/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby AforAmpere » August 7th, 2019, 11:33 pm

I am now convinced that (7,1)c/8 is right around the corner:
x = 10, y = 12, rule = B2aci3aj4cijkrtz5ajkqy6kn78/S2ak3ejkqr4cijqtwz5-aenr6ace7e8
5b2ob2o$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)
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Posts: 1047
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Postby muzik » August 8th, 2019, 7:49 am

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

Postby LaundryPizza03 » August 8th, 2019, 8:46 pm

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=1
3, 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/S234k5j
2b2o$b2o$2o!

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