Smallest Spaceships Supporting Specific Speeds (5s) Project

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

Post by Moosey » July 30th, 2019, 8:01 am

A weird osc in one of launrypizza03's rules:

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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

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

Post by LaundryPizza03 » July 30th, 2019, 9:20 am

(9,6)c/24, 5 cells:

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x = 3, y = 3, rule = B2i3-ceny4ajtz5-cein6-ei7c/S1e2in3-cjqy4-jknyz5aceiy6-ae8
obo$obo$2bo!
EDIT:
(8,5)c/24, 4 cells:

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x = 4, y = 3, rule = B2cei3ekqr4-krtw5ejkqy6an8/S2-ac3airy4acjknqz5a6ac
3bo$obo$bo!
(8,7)c/24, 3 cells:

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x = 4, y = 3, rule = B2-an3acqy4ceiknty5eir6-k/S02n3ejq4-enqtz5eknqr6ci7
o2$bobo!

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » 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:

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x = 2, y = 3, rule = B2aen4cijknw5acjn6cei/S2ce3acr4-irty5-aj6ein7c8
o$bo$bo!

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x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » 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.

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#C [[ STOP 31 ]]
x = 2, y = 3, rule = B2-in4ikwyz5qy/S2cn3nq
o$bo$bo!

Code: Select all

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

Code: Select all

#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:

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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.

Code: Select all

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

Post by LaundryPizza03 » July 31st, 2019, 8:37 pm

Code: Select all

# 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!

Code: Select all

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

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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

Post by Saka » August 1st, 2019, 6:23 am

49 ships.

Code: Select all

# 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

Code: Select all

x = 5, y = 4, rule = B2cei3cqy4aeijrz5-cinq67c8/S12in3ceqr4-cjz5-kr6-i7
bo2bo$b3o$3obo$2bo!
Highest period: p2706

Code: Select all

x = 9, y = 5, rule = B2ce3cqr4aeikr5-iknq6-n7c8/S12in3eqr4-ejkz5-r67
4bo$b5obo$o4b2obo$b5obo$bob2o!
Minpop 56

Code: Select all

x = 31, y = 8, rule = B2ce3q4aeikr5-cinq6-n7c8/S12in3cer4-ej5-r67
21bo$19b2ob2o$17b2ob3obobo$18b3ob4obo2bo$bo14bo2b2ob4ob3o$3o17b4ob4obo
$3o16bo2b4o2bo$2bobo21bo!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

Saka
Posts: 3138
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Location: In the kingdom of Sultan Hamengkubuwono X

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

Post by Saka » August 2nd, 2019, 3:49 am

a 21c/34o found by matchPatt2

Code: Select all

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)

Code: Select all

x = 3, y = 5, rule = B2acn3aekn4-jknwy5ajy6ei8/S1c2ein3ijq4cty5en6i
o$bo$b2o$bo$o!
Airy Clave White It Nay

Code: Select all

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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LaundryPizza03
Posts: 527
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » August 3rd, 2019, 3:30 am

Assorted SMOS-like searches, not surprisingly consisting mostly of SMOSses:

Code: Select all

# 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:

Code: Select all

x = 3, y = 5, rule = B2cin3-ijn4ceijqrz5jq6-an/S02cek3jqry4-cejnz5ceny6cn7c
o2$2bo2$2bo!
EDIT: (10,5)c/25:

Code: Select all

x = 2, y = 5, rule = B2cik3-ceij4qyz5-acnq6-ai7e8/S02e3cqy4-aceky5aeinq6-ai7c
bo2$o2$o!

Code: Select all

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

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

Post by 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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LaundryPizza03
Posts: 527
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » August 4th, 2019, 2:25 am

120 ships in 17 million rules! (70 new and 50 improved speeds)

Code: Select all

# 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:

Code: Select all

x = 39, y = 12, rule = B2ci3-cjk4c6ek7c/S23ejnqr4aijz5cekry6aen7e
16bo$16bo$16bo18bo$26bobo7bo$2ob2o18bo2b2o7bobo$24b2o3bo3bo3b2o$2ob2o
15bo3bobo3bob2o3b2o$21bo6b2obo3b3o$18bobo7bo4bo2bo$19bo3b3o6b2o$21b3o$
25bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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LaundryPizza03
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by LaundryPizza03 » August 4th, 2019, 3:13 pm

218 ships in 7 million rules; 151 new and 52 improved:

Code: Select all


# 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:

Code: Select all

x = 9, y = 6, rule = B2eik3inq4aen5ckq6ce8/S2-i3nqr4acqrtyz5inry6-ac7c
2bo$b2o$o2bo3b2o$o2bo4bo$3o4b2o$6bo!

Code: Select all

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

Post by LaundryPizza03 » August 5th, 2019, 3:43 am

(9,7)c/25, 5 cells:

Code: Select all

x = 5, y = 3, rule = B2cen3q4ekqrt5-ajry6ek7/S02ci3-ejnr4-cekz5-kqy6eik7
o3bo$o$2bobo!
(10,3)c/25, 3 cells:

Code: Select all

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

Code: Select all

x = 3, y = 4, rule = B2ein3ikr4eiqwz5ij6-ce7e8/S02cek3-iknr4-ceiknw5ekqy6akn78
o$2bo2$o!
(9,4)c/25, 3 cells:

Code: Select all

x = 3, y = 4, rule = B2cn3aceqy4-aejktw5-cqr6-c7c/S01c2ikn3-aiqr4-iqrtyz5acjkq6in
bo$o2$2bo!
12c/36d, 4 cells:

Code: Select all

x = 5, y = 3, rule = B2cen3nq4eqr5cq/S02ci3-nqr4airw5-ceky7c
4bo2$obobo!
(8,7)c/24, 5 cells:

Code: Select all

x = 3, y = 6, rule = B2ce3q4eiqr5-enry6k/S02ci3-ejn4aikr5aejnr6i7
o$2bo2$2bo2$obo!
(9,5)c/25:

Code: Select all

x = 3, y = 4, rule = B2cen3-ajnr4-aceir5jry6-ae7e/S03ckqry4-einz5-aiqr8
o$2bo2$o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Posts: 527
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

Post by 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:

Code: Select all

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:

Code: Select all

#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:

Code: Select all

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
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0'  0'  0'  0'  0'  0'  0'  0'  0   0
0'  0'  0'  0'  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?

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
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AforAmpere
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Re: Smallest Spaceships Supporting Specific Speeds (5s) Project

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

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

Post by 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.)

Code: Select all

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

Post by testitemqlstudop » August 6th, 2019, 4:24 am

Would a (7,1)c/8 be possible in a B1e rule?

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

Post by 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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Aidan F. Pierce

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

Post by 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:

Code: Select all

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

0'  0'  0'  0'  0'  0'  0'  0'  0   0   0
0'  0'  0'  0'  0'  0'  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:

Code: Select all

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.

Code: Select all

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

AforAmpere
Posts: 1077
Joined: July 1st, 2016, 3:58 pm

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

Post by 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:

Code: Select all

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:

Code: Select all

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:

Code: Select all

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

Code: Select all

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:

Code: Select all

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)

muzik
Posts: 3772
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

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

Post by 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!

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

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

Post by Saka » August 7th, 2019, 9:02 am

17109 ships
matchPatt2-test.zip
(341.05 KiB) Downloaded 103 times
Lowest MPP

Code: Select all

x = 4, y = 4, rule = B2k3acijr4ijqty5e6c8/S2-ci3-acey4eity5-ijqy6n7e
bobo$2obo$b3o$2bo!
Highest period: p8988

Code: Select all

x = 5, y = 6, rule = B2k3acijr4ijqy5e6i/S2-ci3-acey4ceiy6ein7e8
b2o2$obo$4bo$b3o$2bo!
Slowest: 3c/7384d

Code: Select all

x = 148, y = 34, rule = B2k3acijr4ijqty6in78/S2aek3ijnqr4city5n6ei7e8
7b2o$6bob2o$3b2ob2o$b3o2bo$o2bo$o$2o3bo$2bo2b2o$3b3o23$146bo2$147bo!
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

AforAmpere
Posts: 1077
Joined: July 1st, 2016, 3:58 pm

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

Post by AforAmpere » August 7th, 2019, 11:33 pm

I am now convinced that (7,1)c/8 is right around the corner:

Code: Select all

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)

muzik
Posts: 3772
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

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

Post by 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!

User avatar
LaundryPizza03
Posts: 527
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

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

Post by LaundryPizza03 » August 8th, 2019, 8:46 pm

19 ships in 8 million rules (albeit a very slow search):

Code: Select all

# 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!

Code: Select all

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

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