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i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 16th, 2025, 7:14 pm
by blitzo
B01357/S02

Re: i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 17th, 2025, 12:34 am
by Resu
blitzo wrote: September 16th, 2025, 7:14 pmB01357/S02
Some patterns:

Code: Select all

x = 37, y = 18, rule = B01357/S02
30b2o$30b2o3b2o$9b2o8b2o9b2o3b2o$obo6b2o11$2bo$o$o$2bo!
Spaceship by LaundryPizza03.
LaundryPizza03 wrote: June 7th, 2021, 5:32 am

Code: Select all

x = 25, y = 10, rule = B01357/S02
o16bo$obo14bo3b2o$3b2o10b2o2b5o$bo2b2o9bo6b3o$2b2obo2bo7b2o$4b2obo8bo
3bo2bo$4b4o9b2o$4b4o8b3o$4bo10bob2o$7bo!
Is this rule self-complementary?

Re: i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 17th, 2025, 3:08 am
by ThePlayzr
Hello and welcome to the forums! Not to be mean or anything, I think you should read the forum rules before creating any more threads. Also, perhaps rename this thread to B01357/S02, as rules that don't infinitely expand are not rare, in fact there are so many. For example, most rules with b3 and without b012 do not expand infinitely, unless you include B4/S1/S4 and S23.
anyway, here are some more patterns:

Code: Select all

x = 25, y = 6, rule = B01357/S02
2bo8b3o8bo$b3o7b3o$5o17b3o$b3o$2bo8b3o10bo$11b3o!
as well as a p2 eater:

Code: Select all

x = 9, y = 9, rule = B01357/S02
4bo2bo2$5b2o4$b2o$b2o!
All rules with B0 are self-complimentary, so yes Resu, this is self-complimentary.

Re: i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 17th, 2025, 3:44 am
by hibiscus
This rule is the only one known to harbour a 5c/82o ship in the OT space, so it is interesting in that regard.

Code: Select all

#C Glider 8133, 5c/82 orthogonal
#C
#C B012345678 S012345678
#C  XX-X-X-X-  X-X------
#C
x = 16, y = 1, rule = B01357/S02
obo5b2ob2ob2o!
p26 oscillator:

Code: Select all

x = 16, y = 16, rule = B01357/S02
2bo10bo$bo12bo$obo2bo4bo2bobo2$6b4o$2bo2b6o2bo$4b3o2b3o$4b2o4b2o$4b2o
4b2o$4b3o2b3o$2bo2b6o2bo$6b4o2$obo2bo4bo2bobo$bo12bo$2bo10bo!
Edit: c/6o ship:

Code: Select all

x = 11, y = 19, rule = B01357/S02
bobo3bobo$b2o5b2o2$4bobo$b2o2bo2b2o$2b2o3b2o$3bo3bo$b9o$b2o5b2o
$b2o5b2o$b3o3b3o$2bo5bo$o9bo$b2o5b2o$b3o3b3o2$bo7bo2$o9bo!
Will crosspost to the "Spaceships in Life-like cellular automata" thread later.

Re: i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 18th, 2025, 2:32 pm
by eRroR_6o6
ThePlayzr wrote: September 17th, 2025, 3:08 am Hello and welcome to the forums! Not to be mean or anything, I think you should read the forum rules before creating any more threads. Also, perhaps rename this thread to B01357/S02, as rules that don't infinitely expand are not rare, in fact there are so many. For example, most rules with b3 and without b012 do not expand infinitely, unless you include B4/S1/S4 and S23.
To be fair, interesting B0 rules in OT can prove to be very hard to find.

Re: i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 18th, 2025, 6:17 pm
by LuveelVoom
c/6d

Code: Select all

x = 87, y = 87, rule = B01357/S02
3bobo2$2bo$o2bo3b2obo$6bobo$o4bo3bo$4bob4o$3bo2b6obo$3b2ob2ob4o$5b8o$
3bo3b7o$7b6o$8b7obobo$7bo2bob4obo$12b6o$13b4o$12bob5obo$13b2ob3o$12bo
3b5o$18b3obo$16bob5obo$20b4o$19b6o$21b6o$20bob2obo$23b4o$23bob2o$29bo
$28bo2b2o$27bo2b4o$29b5o$28b7o$28b6o4bo$29b7obo$31bob3ob2o$33b3o4bo$39b
3o$33b2o4bob2o$32bobo3b5obo$36b4o2bo$35b2obobob4o$36b3o4b2o$37b4obobo
$40b2o$38bob3ob3o$40bo3b3o$44b5o$46b2obobo$46bo$47bo6bo$50b4o$47bo2b3o
$50b5o$50bob5o$49bo2b5ob2o$53b6o$53b6obo$55b5obo$54b6o$54bo2b3obo$56b
o3bo2bo$57bobob4o$61bobobo$60b3o2b2o$61bo3b2o$62b4o3bo$63b2ob6o$66b5o
$66b7o$65b7o2bo$66b8obo$66bob8obo$68bob8o$70b7obo$69bob6o$70b7obobo$72b
5o4bo$71b2o8bo$73bobo4bo2bo2$75bo2bo3b2o$76b2o3bob3o$80bob3o$78bob6o$
81b4obo$81bobo2bo$84b2o!

Re: i found a alien rule with spaceships that doesnt infinitly expand which is rare

Posted: September 20th, 2025, 5:12 pm
by breaker's glider gun
A replicator on a track:

Code: Select all

x = 162, y = 167, rule = B01357/S02
3o$3o4$2o3b2o$2o3b2o4$5b2o3b2o$5b2o3b2o4$10b2o3b2o$10b2o3b2o4$15b2o3b
2o$15b2o3b2o4$20b2o3b2o$20b2o3b2o4$25b2o3b2o$25b2o3b2o4$30b2o3b2o$30b
2o3b2o4$35b2o3b2o$35b2o3b2o4$40b2o3b2o$40b2o3b2o4$45b2o3b2o$45b2o3b2o
4$50b2o3b2o$50b2o3b2o4$55b2o3b2o$55b2o3b2o4$60b2o3b2o$60b2o3b2o4$65b2o
3b2o$65b2o3b2o4$70b2o3b2o$70b2o3b2o4$75b2o3b2o$75b2o3b2o4$80b2o3b2o$80b
2o3b2o4$85b2o3b2o$85b2o3b2o4$90b2o3b2o$90b2o3b2o4$95b2o3b2o$95b2o3b2o
4$100b2o3b2o$100b2o3b2o4$105b2o3b2o$105b2o3b2o4$110b2o3b2o$110b2o3b2o
4$115b2o3b2o$115b2o3b2o4$120b2o3b2o$120b2o3b2o4$125b2o3b2o$125b2o3b2o
4$130b2o3b2o$130b2o3b2o4$135b2o3b2o$135b2o3b2o4$140b2o3b2o$140b2o3b2o
4$145b2o3b2o$145b2o3b2o4$150b2o3b2o$150b2o3b2o4$155b2o3b2o$155b2o3b2o
4$160b2o$160b2o!
I remember seeing someone mention this kind of replicator, that is stationary and produces more in one direction.
(in the thread for you interesting replicators)