Rules with small adjustable spaceships
Rules with small adjustable spaceships
Discussion thread for extremely small spaceships whose speed and/or slope can be easily adjusted.
Currently known rules:
 Orthogonal
 B2c3ae4ai5iy6c/S2kn3ijry4cit (c/2n, n>1)
 B2ci3ar4a5iy6c/S2kn3aijry4airt5eiy6c (c/2n, n>2)
 B2c3aj4nrt5i6c7e/S1c2en3enr4aet5cey6c7e (c/2n+1, n>1)
 B2c3ae4ai5iy6c/S2kn3ijkry4cit (2c/4n, n>2)
 B2e3ceny4ain6k/S01c2cek3ijnq4an (2c/4n, n>4)
 B2ik3ai4ae5ay6i/S01e2ck4r5aq6k (2c/4n, n>6)
 B2cek3n4eijwy5j6i/S02e3ny4n6c (2c/4n, n>12)
 B2ik3aijn4ant5r6i7e/S02a4i (2c/4n+2, n>1)
 B2cein3ejny4kz/S01c2ae3r5k (2c/4n+2, n>4)
 Diagonal
 B2cen4i6a/S12aen3r4a5c (c/8n, n>1)
 B2cek4ejt5aj6c/S123a5i (2c/12n+2, n>3)
 B3aceij/S1c2ei3cijnr4cnq5ac6e7c (c/2n, n>3)
 B3aceij4k/S1c2ei3cjnr4cq5ac6e (c/(2n+1), n>3)
Re: Rules with small adjustable spaceships
Your post would be more useful if each of the listed rules were pointers to the example patterns. Readers should never be required to search the Forum for referenced material.
Brian Prentice
Re: Rules with small adjustable spaceships
Re: Rules with small adjustable spaceships
viewtopic.php?f=11&t=803&start=850#p51682
Re: Rules with small adjustable spaceships
Code: Select all
x = 98, y = 24, rule = 1e2en3aejnr4ir5y7c/2c3a4ak6ack7e/3
.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A$A.A2.A.A
2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.
A2.A.A2.A.A2.A.A2.A.A$3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A
2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A$ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.A
BA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA$2.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A$7.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$12.A2.A.A2.A.A2.A.A
2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.
A$17.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A
.A2.A.A2.A.A2.A.A$22.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A2.A.A$27.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A
2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$32.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$37.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A
.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$42.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.
A.A2.A.A2.A.A2.A.A2.A.A$47.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A
2.A.A2.A.A$52.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$57.A2.A.
A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$62.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A
.A2.A.A$67.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$72.A2.A.A2.A.A2.A.A2.A.A2.
A.A$77.A2.A.A2.A.A2.A.A2.A.A$82.A2.A.A2.A.A2.A.A$87.A2.A.A2.A.A$92.A
2.A.A$97.A!
[[ THEME Blues ]]
Re: Rules with small adjustable spaceships
Code: Select all
x = 39, y = 4, rule = B2c3acjr4y5ci/S01e2ac3en4n5ij6a
3b2o7b2o8b2o9b2o$3b2o7bo9bo10bo$3b3o6b2obo6b2o2bo6b2o3bo$o3bo4bo9bo10b
o!

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: Rules with small adjustable spaceships
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
Re: Rules with small adjustable spaceships
Code: Select all
x = 10, y = 28, rule = 1e23ai4ain5jy/2c3in6ack7/3
5.4A$5.A.B2A$7.2A3$4.5A$4.A2.B2A$6.3A3$3.6A$3.A3.B2A$5.4A3$2.7A$2.A4.
B2A$4.5A3$.8A$.A5.B2A$3.6A3$9A$A6.B2A$2.7A!
[[ THEME Blues ]]
 Majestas32
 Posts: 524
 Joined: November 20th, 2017, 12:22 pm
 Location: 'Merica
Re: Rules with small adjustable spaceships
WE MUST APGSEARCHmuzik wrote:New c/odd n adjustables:Code: Select all
x = 10, y = 28, rule = 1e23ai4ain5jy/2c3in6ack7/3 5.4A$5.A.B2A$7.2A3$4.5A$4.A2.B2A$6.3A3$3.6A$3.A3.B2A$5.4A3$2.7A$2.A4. B2A$4.5A3$.8A$.A5.B2A$3.6A3$9A$A6.B2A$2.7A!

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: Rules with small adjustable spaceships
Sorry but apgluxe doesnt support nontot generations yet.Majestas32 wrote: WE MUST APGSEARCH
Also, muzik, you haven't addrd the 3 wickrules I found. I'll link them later when I'm on my computer and not on this tiny screen.
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
Re: Rules with small adjustable spaceships
Code: Select all
x = 14, y = 39, rule = B2c3aejr4ijr5i7e/S12en3einr4eijt5ry6e7e8
6bo$2bo4bo$o2b6o$b2o4bo$6bo3$7bo$2bo6bo$o2b7o$b2o6bo$7bo4$2bo7bo$o2b8o
$b2o7bo5$2bo8bo$o2b9o$b2o8bo5$2bo9bo$o2b10o$b2o9bo5$2bo10bo$o2b11o$b2o
10bo!
965808 is period 336 (max = 207085118608).
Re: Rules with small adjustable spaceships

 Posts: 3138
 Joined: June 19th, 2015, 8:50 pm
 Location: In the kingdom of Sultan Hamengkubuwono X
Re: Rules with small adjustable spaceships
22+66n, n >= 0
62+6n, n >= 0
29+6n, n >= 0
Code: Select all
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
Re: Rules with small adjustable spaceships
Code: Select all
x = 41, y = 35, rule = B3aeijq4awyz5jr/S1c2in3ackqr4q5a6e
30b3o2bo$34bo$33bobo$36bo$37bo$38bo$39bo$40bo3$20b3o2bo$24bo$23bobo$
26bo$27bo$28bo$29bo4$10b3o2bo$14bo$13bobo$16bo$17bo$18bo5$3o2bo$4bo$3b
obo$6bo$7bo!
Code: Select all
x = 39, y = 37, rule = B3aeijk4az5j/S1c2ein3ack4q5a6ae
30bo$30bo$30bo2bo$32bo$31bobo$34bo$35bo$36bo$37bo$38bo$20bo$20bo$20bo
2bo$22bo$21bobo$24bo$25bo$26bo$27bo2$10bo$10bo$10bo2bo$12bo$11bobo$14b
o$15bo$16bo3$o$o$o2bo$2bo$bobo$4bo$5bo!
Code: Select all
x = 40, y = 35, rule = B3aeijk4a/S1c2en3ackqr4q5aq6e
31bo2bo$30bo2bo$32bobo$35bo$36bo$37bo$38bo$39bo3$21bo2bo$20bo2bo$22bob
o$25bo$26bo$27bo$28bo4$11bo2bo$10bo2bo$12bobo$15bo$16bo$17bo5$bo2bo$o
2bo$2bobo$5bo$6bo!
Re: Rules with small adjustable spaceships
Code: Select all
x = 13, y = 54, rule = B2c3aj4k5cnr/S2n3ajky4j5jn
bo$ob5o$bo5bo$6b2o7$bo$ob6o$bo6bo$7b2o7$bo$ob7o$bo7bo$8b2o7$bo$ob8o$bo
8bo$9b2o7$bo$ob9o$bo9bo$10b2o7$bo$ob10o$bo10bo$11b2o!
(2,1)c/3n p3n spaceships (n>=5):
Code: Select all
x = 12, y = 38, rule = B2cin3aej4kr5cnr/S1c2n3enr4jr5anq6i7c
o8b2o$9o2bo$9b2o5$o7b2o$8o2bo$8b2o5$o6b2o$7o2bo$7b2o5$o5b2o$6o2bo$6b2o
5$o4b2o$5o2bo$5b2o5$o3b2o$4o2bo$4b2o!
965808 is period 336 (max = 207085118608).

 Posts: 1066
 Joined: July 1st, 2016, 3:58 pm
Re: Rules with small adjustable spaceships
Nice! I somehow didn't see this until now.AbhpzTa wrote: (2,1)c/3n p3n spaceships (n>=5):Code: Select all
x = 12, y = 38, rule = B2cin3aej4kr5cnr/S1c2n3enr4jr5anq6i7c o8b2o$9o2bo$9b2o5$o7b2o$8o2bo$8b2o5$o6b2o$7o2bo$7b2o5$o5b2o$6o2bo$6b2o 5$o4b2o$5o2bo$5b2o5$o3b2o$4o2bo$4b2o!
C/32+4n for n>0:
Code: Select all
x = 23, y = 23, rule = B2cik3aik4cir5ekqr6i7e8/S02aen3eij4cinwz5aeijr6ei7e
2bobo13bobo8$2bobo13bobo$2b3o13b3o3$3bo$b5o13bo$bo3bo11b5o$2obob2o10bo
3bo$bo3bo10b2obob2o$b5o11bo3bo$3bo13b5o$19bo2$3bo$19bo!
Code: Select all
x = 21, y = 25, rule = B2cik3aik4cir5ekqr6i7e8/S02aen3eij4cinwz5aeijr6ei7e
2bobo11bobo7$2bobo11bobo$2b3o11b3o6$3bo$b5o11bo$bo3bo9b5o$2obob2o8bo3b
o$bo3bo8b2obob2o$b5o9bo3bo$3bo11b5o$17bo2$3bo$17bo!
Things to work on:
 Find a (7,1)c/8 ship in a Nontotalistic rule
 Finish a rule with ships with period >= f_e_0(n) (in progress)
Re: Rules with small adjustable spaceships
What a great rule! It has this small c/8 spaceship:AbhpzTa wrote: (2,1)c/3n p3n spaceships (n>=5):
Code: Select all
x = 2, y = 3, rule = B2cin3aej4kr5cnr/S1c2n3enr4jr5anq6i7c
o$2o$o!
Code: Select all
x = 4, y = 8, rule = B2cin3aej4kr5cnr/S1c2n3enr4jr5anq6i7c
2bo$ob2o$b2o3$b2o$ob2o$2bo!
Code: Select all
x = 9, y = 4, rule = B2cin3aej4kr5cnr/S1c2n3enr4jr5anq6i7c
7bo$6ob2o$o5b2o$6bo!

 Posts: 1066
 Joined: July 1st, 2016, 3:58 pm
Re: Rules with small adjustable spaceships
Code: Select all
x = 38, y = 4, rule = B2e3eijr4aijknrw6akn7e/S02aci3anr4ijrty5ey6e7c
5bo14bo16bo$o2bo10bo2bo12bo2bo$2bo13bo15bo$3bo13bo15bo!
Code: Select all
x = 22, y = 25, rule = B2ci3ai4cir6kn7c8/S02ae3aeij4ciz5akqr6ai7e
3bo14bo$b5o10b5o$bo3bo10bo3bo$2obob2o8b2obob2o$bo3bo10bo3bo$b5o10b5o$
3bo14bo3$2b3o12b3o$2bobo12bobo4$3bo$b5o12bo$bo3bo10b5o$2obob2o9bo3bo$b
o3bo9b2obob2o$b5o10bo3bo$3bo12b5o$18bo2$3bo$18bo!
Things to work on:
 Find a (7,1)c/8 ship in a Nontotalistic rule
 Finish a rule with ships with period >= f_e_0(n) (in progress)

 Posts: 796
 Joined: May 30th, 2016, 8:47 pm
 Location: Milky Way Galaxy: Planet Earth
Re: Rules with small adjustable spaceships
*c/4danny wrote: What a great rule! It has this small c/8 spaceship:Code: Select all
x = 2, y = 3, rule = B2cin3aej4kr5cnr/S1c2n3enr4jr5anq6i7c o$2o$o!
Code: Select all
x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!
Re: Rules with small adjustable spaceships
This limit can be reduced to 5 for all speeds c/n (given 3 cell ships for most speeds c/n where n<100)AforAmpere wrote:This means that all speeds C/40+4n for n>0 have max population of 29:
(1,0)c/4n, p(4n), n>=4:
Code: Select all
x = 9, y = 24, rule = B2ein3inr4ikw5jky6cei8/S012an3ijkqy4acjkq5jkq6in7
2bo$5bo$6bobo$5bo7$bo$5bo$6bobo$5bo7$o$5bo$6bobo$5bo!
Code: Select all
x = 8, y = 34, rule = B2e3ijknq4aeijqr5ekqr6e78/S01c2cen3aenqr4anqrtw5enqr6aen7c
3bo$b4o$2b2obobo$3b2o7$2bo$4bo$5bobo$4bo7$bo$4bo$5bobo$4bo7$o$4bo$5bob
o$4bo!
Code: Select all
x = 8, y = 24, rule = B2en3ainq4aceiknr5ceij6aik78/S01c2ak3ijkry4ajnrty5ijq6ein7e8
2bo$4bo$5bobo$4bo7$bo$4bo$5bobo$4bo7$o$4bo$5bobo$4bo!
Code: Select all
x = 8, y = 24, rule = B2en3ainq4ackt5acekn6ac7c8/S01c2cen3acek4cjt5aeqr6ce7e8
2bo$4bo$5bobo$4bo7$bo$4bo$5bobo$4bo7$o$4bo$5bobo$4bo!

(1,0)c/2n, p(2n), n>=7 (moon bouncer):
Code: Select all
x = 12, y = 35, rule = B2aen3aen4inqtwyz5ekny6aen7e8/S1e2n3ejry4knqrtw5cnq678
7bo$8bo$4bo3bo$3bobobo2bo$11bo6$7bo$8bo$2bobo3bo$3bo3bo2bo$11bo6$7bo$
8bo$2bo5bo$bobo3bo2bo$11bo6$7bo$8bo$obo5bo$bo5bo2bo$11bo!
Edit: Actually, just found one with stable reflectors and smaller minimum population:
(1,0)c/2n, p(2n), n>=6:
Code: Select all
x = 11, y = 36, rule = B2ci3nqr4aceqry5ceqy6cn/S01e2i3aein4jkqr5k6ek
2bobo$3b3o$3b2obobobo$3b2obo$3b3o$2bobo5$2bo$5bo$6bobobo$6bo$5bo$2bo5$
bo$5bo$6bobobo$6bo$5bo$bo5$o$5bo$6bobobo$6bo$5bo$o!
Re: Rules with small adjustable spaceships
This set of adjustable speed spaceships reduces the upper limit on population for all speeds c/n and also 2c/n to 4 cells (given 3 cell examples for all c/n and 2c/n with n < 25 [except 2c/3 which is 4 cells]). Several of them convert the ship to a different 3 cell ship traveling in the backwards direction, specifically, the c/n ships  there are similar ships at 2c/n not shown here.wildmyron wrote:This limit can be reduced to 5 for all speeds c/n (given 3 cell ships for most speeds c/n where n<100)AforAmpere wrote:This means that all speeds C/40+4n for n>0 have max population of 29:
(1,0)c/4n, p(4n), n>=5:
Code: Select all
x = 10, y = 33, rule = B2ek3aij4eir5a6ac/S01c2an3eiqy4aenrt5aiq6ik7e
3bo3bo$9bo$7bo8$2bo4bo$9bo$7bo8$bo5bo$9bo$7bo8$o6bo$9bo$7bo!
Code: Select all
x = 9, y = 33, rule = B2ek3aiq4ai5y6k/S01c2an3acekr4ey5ijkqy6cik
3bo2bo$8bo$6bo8$2bo3bo$8bo$6bo8$bo4bo$8bo$6bo8$o5bo$8bo$6bo!
Code: Select all
x = 10, y = 33, rule = B2ek3ai4eir6ac/S01c2an3eiqy4anrt5aeiq6k
3bo3bo$9bo$7bo8$2bo4bo$9bo$7bo8$bo5bo$9bo$7bo8$o6bo$9bo$7bo!
Code: Select all
x = 10, y = 33, rule = B2ek3aik4einrwyz5a6c/S01c2an3eqy4ajkqrt5cknr6k8
3bo3bo$9bo$7bo8$2bo4bo$9bo$7bo8$bo5bo$9bo$7bo8$o6bo$9bo$7bo!
Code: Select all
x = 9, y = 43, rule = B2ek3ij4ry5e/S012cei3ijqr4ar5aeky6i
4bobo$8bo$6bo8$3bo2bo$8bo$6bo8$2bo3bo$8bo$6bo8$bo4bo$8bo$6bo8$o5bo$8bo
$6bo!
Code: Select all
x = 9, y = 33, rule = B2ek3ij4rwz5e7e/S012an3ijqr4aer5ai6c7e
3bo2bo$8bo$6bo8$2bo3bo$8bo$6bo8$bo4bo$8bo$6bo8$o5bo$8bo$6bo!
Code: Select all
x = 9, y = 33, rule = B2e3ijqry4nr5r6k7e/S012an3eir4a5q6c
3bo2bo$8bo$6bo8$2bo3bo$8bo$6bo8$bo4bo$8bo$6bo8$o5bo$8bo$6bo!
Code: Select all
x = 9, y = 33, rule = B2e3ijry4qr5ek7e/S012cei3eij4aj5e7e
3bo2bo$8bo$6bo8$2bo3bo$8bo$6bo8$bo4bo$8bo$6bo8$o5bo$8bo$6bo!
Re: Rules with small adjustable spaceships
(1,0)c/2, p(4n), n>3, 20 cells (except p12 which has min pop 21 in phase 1)
Code: Select all
x = 50, y = 17, rule = B2aei3cekq4jknrt5ejkry6kn8/S1c2ae3cinqr4aentw5ackr6ace7c
2bo14bo14bo14bo$2o2bo10b2o2bo10b2o2bo10b2o2bo$2bobo12bobo12bobo12bobo$
o3bo10bo3bo10bo3bo10bo3bo2$obo12bobo12bobo12bobo$3bo14bo14bo14bo$46bo$
3bo14bo14bo14bo$43bob2o$45bo3bo$30bo3bo12bobo$15bo3bo12bobo10b2o2bo$o
3bo12bobo10b2o2bo12bo$2bobo10b2o2bo12bo$2o2bo12bo$2bo!
Code: Select all
x = 6, y = 11, rule = B2aei3cekn4ciknqt5cjnqr6in78/S12ci3ceiqr4acer5cjq6i78
bo2bo$3b3o$obo2bo$3b3o$bo2bo3$bobo$4bo2$4bo!
Does anybody know what the smallest such ships in Life are? And are there examples with period not divisible by 4?
P.S. Thanks again to Macbi for lls, which is extremely useful in this kind of endeavour.
 LaundryPizza03
 Posts: 491
 Joined: December 15th, 2017, 12:05 am
 Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"
Re: Rules with small adjustable spaceships
I think it's actually 2c/(4n+6), n≥3; the fastest is actually a 2c/18.muzik wrote:All speeds of the form 2c/(4n+2), n>3:Generations feels like it has a lot more potential for adjustablespeed technology, with the whole onewaysignal mechanic.Code: Select all
x = 98, y = 24, rule = 1e2en3aejnr4ir5y7c/2c3a4ak6ack7e/3 .A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A4.A$A.A2.A.A 2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A. A2.A.A2.A.A2.A.A2.A.A$3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A 2.3A2.3A2.3A2.3A2.3A2.3A2.3A2.3A$ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.A BA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA2.ABA$2.A2.A .A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2. A.A2.A.A2.A.A2.A.A2.A.A$7.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2. A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$12.A2.A.A2.A.A2.A.A 2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A. A$17.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A .A2.A.A2.A.A2.A.A$22.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2. A.A2.A.A2.A.A2.A.A2.A.A2.A.A$27.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A 2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$32.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A. A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$37.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A .A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$42.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2. A.A2.A.A2.A.A2.A.A2.A.A$47.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A 2.A.A2.A.A$52.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$57.A2.A. A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$62.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A .A2.A.A$67.A2.A.A2.A.A2.A.A2.A.A2.A.A2.A.A$72.A2.A.A2.A.A2.A.A2.A.A2. A.A$77.A2.A.A2.A.A2.A.A2.A.A$82.A2.A.A2.A.A2.A.A$87.A2.A.A2.A.A$92.A 2.A.A$97.A!
Here's a slightly different set of ships that do travel at 2c/(4n+2), n≥3:
Code: Select all
x = 17, y = 63, rule = 12en3ejnr4r5jry/2c3a4a6ack7e/3
12.4A$14.B2A$13.3A3$11.5A$14.B2A$12.4A3$10.6A$14.B2A$11.5A3$9.7A$14.B
2A$10.6A3$8.8A$14.B2A$9.7A3$7.9A$14.B2A$8.8A3$6.10A$14.B2A$7.9A3$5.
11A$14.B2A$6.10A3$4.12A$14.B2A$5.11A3$3.13A$14.B2A$4.12A3$2.14A$14.B
2A$3.13A3$.15A$14.B2A$2.14A3$16A$14.B2A$.15A!
Code: Select all
x = 4, y = 3, rule = B3q4z5y/S234k5j
2b2o$b2o$2o!

 Posts: 1066
 Joined: July 1st, 2016, 3:58 pm
Re: Rules with small adjustable spaceships
Code: Select all
x = 67, y = 4, rule = B2ae3q/S0
o$4bo9bo5bobobo3bobo3bo3bo3bo5bo3bobobo3bo3bobo$4bo9bo5bobobo3bobo3bo
3bo3bo5bo3bobobo3bo3bobo$o!
Things to work on:
 Find a (7,1)c/8 ship in a Nontotalistic rule
 Finish a rule with ships with period >= f_e_0(n) (in progress)
Re: Rules with small adjustable spaceships
(m/g,0)c/(n/g) , period n [g=gcd(m,n) , (m=1 AND n=5) OR (0<5m<n AND m==n(mod 2))]AforAmpere wrote:There is a chance that adjustable ships may exist in B2a rules:This reaction moves at C/7, with replicators and a backend. If someone can find something that can be pushed by the replicators, there might be a new class of adjustable ships.Code: Select all
x = 67, y = 4, rule = B2ae3q/S0 o$4bo9bo5bobobo3bobo3bo3bo3bo5bo3bobobo3bo3bobo$4bo9bo5bobobo3bobo3bo 3bo3bo5bo3bobobo3bo3bobo$o!
m=1 and n={5,7,9,11} (reaction={(5),(7),(9),(11)}):
Code: Select all
x = 114, y = 36, rule = B2a3jkq/S01c3e
103bo$102bo10bo$106bo5bo$106bo5bo$102bo10bo$103bo5$79bo$78bo34bo$85bob
o5bo3bo7bobobo$85bobo5bo3bo7bobobo$78bo34bo$79bo5$bo$o112bo$3bobo5bo7b
o3bobo7bobo3bobobo7bobo9bobo5bo3bobo3bo3bobo11bo5bobo$3bobo5bo7bo3bobo
7bobo3bobobo7bobo9bobo5bo3bobo3bo3bobo11bo5bobo$o112bo$bo5$7bo$6bo106b
o$13bobo9bo5bobo5bo3bo3bo5bo11bo3bobobo3bo3bo9bobo5bo3bobobobo$13bobo
9bo5bobo5bo3bo3bo5bo11bo3bobobo3bo3bo9bobo5bo3bobobobo$6bo106bo$7bo!
Code: Select all
x = 540, y = 6, rule = B2a3jkq/S01c3e
bo$o538bo$7bobo3bo5bo9bobo11bo3bo5bobobobo3bo3bobobo9bo3bo3bo3bo3bo3bo
bobobo7bobo11bo3bo3bobo7bo3bo5bo3bo3bobo3bo5bo5bobo3bobo3bobobo17bobo
5bo7bobo3bobobo5bobobo3bobo3bo9bobobo3bo5bo13bobo3bobo3bo5bobo5bo9bobo
3bo7bobo3bobo3bobobo3bobo5bobobo5bo5bobo9bo3bobo7bo11bobobo5bobo11bobo
bo9bobo3bobo9bo3bo3bo5bobo11bobo7bo3bobo3bobo$7bobo3bo5bo9bobo11bo3bo
5bobobobo3bo3bobobo9bo3bo3bo3bo3bo3bobobobo7bobo11bo3bo3bobo7bo3bo5bo
3bo3bobo3bo5bo5bobo3bobo3bobobo17bobo5bo7bobo3bobobo5bobobo3bobo3bo9bo
bobo3bo5bo13bobo3bobo3bo5bobo5bo9bobo3bo7bobo3bobo3bobobo3bobo5bobobo
5bo5bobo9bo3bobo7bo11bobobo5bobo11bobobo9bobo3bobo9bo3bo3bo5bobo11bobo
7bo3bobo3bobo$o538bo$bo!
965808 is period 336 (max = 207085118608).