The Hunt for INT "Compounds"

For discussion of other cellular automata.
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

The Hunt for INT "Compounds"

Post by Hunter »

Over the past weeks I've been really interested in isotropic non-totalistic objects. But more importantly the more common ones. Like blocks, length-2 B2c Margolus, seeds etc. So I decided to start going through combinations and seeing what objects they create. I decided to create terminology (as seen in my post from yesterday for them.
Hunter wrote: October 3rd, 2026, 5:00 pm Primitive: An object in an INT rule with only one number and letter combo(A rule like b2cs) for example.
Compound: An object in an INT rule with two of the number and letter combo. Like b2ces or b2cs3e
However I decided to make it a little more advanced with levels.

Objects in rules that only have one rule to them like B2cs Margoluses are called a "primitive" while objects in rules with a combination, like b2acs (Space Invaders) are called a "level 2 compound". The more combinations you add increases the level.

The levels I'm interesting in right now are primitives, level 2's and 3's. However once those get depleted It would be cool to study level 4. I'm sure the interestingness increases exponentially the higher level up you go.

The minus sign will not count as one letter, unless used in the number 1 and 7 as there's only two possible variations.
Last edited by Hunter on October 8th, 2026, 1:42 pm, edited 1 time in total.
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

The most interesting level 2 rules I know of so far seem to be Space Invaders and b2c3cs (A margolus variant rule).

Here are all the interesting oscillators in b2c3cs I have found (I'm sure theres more), I tried to not count the oscillators that are just on each other but don't effect each other.

Code: Select all

x = 392, y = 224, rule = B2c3c/S
52$91bo$91b2o$91b2o45b4o$74bo16b2o43b2o$29b5o40bo16b2o41b2o$34b5o35bo
16b2o40bo44b2o$38b2o35bo15b2o39bo43b2o$40bo34bo15b2o38bo42b4o54b3o$40b
2o33bo15bo38bo42bo4b3o54b2o$41bo33bo15bo37bo43bo6b2o32bo22b3o$41bo33bo
15bo36bo43bo9b2o30bo16b4o5b2o28bo53bo11bo9bo$41bo34b2o12b2o34b2o44bo
10bo30bo15bo11bo27bo12b2o39bo11bo9bo$40b2o36b12obo33bo46bo10bo31bo14bo
11b2o26bo14b3o36bo11bo9bo$39bo51bo33bo46bo10bo31bo13bo13bo26bo17b2o34b
o11bo9bo$38b2o51bo33bo46bo10bo31bo13bo13bo26bo19bo33bo11bo9bo$36b2o54b
o32bo46bo10bo31bo12bo14bo26bo20b2o31bo12bo8bo$28b8o56bo32bo4b7o36bo8bo
32bo12bo14bo26bo22bo30bo12bo7b2o$27bo64bo33bo9b5o33bo5b2o33bo12bo14bo
26bo23bo29bo12bo7b2o$28b3o61bo33bo14b2o32bo3bo35bo12bo14bo26bo23bo29bo
12bo7b2o$31b3o11b2o45bo33bo16b2o31b3o36bo12bo14bo26bo23bo29bo13bo6b2o$
34b12o46bo34b2o16bo30bobo36bo12bo14bo26bo23bo29bo13bo6b2o$128bo16bo29b
o3bo35bo12bo14bo26bo22bo30bo13bo5bobo$129b2o14bo29bo4b2o33bo12bo14bo
26bo22bo29bo15bo4bobo$131bo12bo29bo7b2o31bo12bo14bo26bo22bo29bo16b2obo
2bo$132b2o10bo29bo9bo30bo12bo13bo27bo21bo30bo17b2o3bo$134b2o7b2o30bo9b
o29bo12bo13bo27bo19b3o30bo22bo$136b7o32b2o9b2o27bo12b3o11bo27bo16b3o
32bo23bo$176b3o8b2o26bo15b4o7bo27bo14b3o34bo23bo$178b10o47b3o3bo28bo
11b4o36bo23bo$84bobo151b3o29bo8b4o10b13o16bo23bo$270bo7b3o8b4o29bo23bo
$35bobo44bo3bo193b9o33bo23bo$322bo23bo$37bo46bobo50bobobobo202bo$346bo
$137bo208bo$346bo$137bo208bo$174bobobobo165bo$137bo208bo$174bo3bobo34b
obo62bo$82bobobo196bo$176bobo36bobo62bo$35bo46bo5bo188bobo3bo$215bobo$
35bobo46bobobo188bobobobo$215bo$37bo239bo3bobo$280bo$277bo$280bo46bobo
bobo2$85bobo241bo5bo$84bo89bobobobobobo$34bobo50bo243bobobo$37bo46bo
93bobobobo$85bobo$37bobo138bobobo$279bobo$282bo$279bo$276bobo3bo2$276b
obobobo2$276bo3bobo$34bobo242bo$37bo238bo$34bo242bobo$35bobo9$33bo$36b
obo$33bobo$38bo11$25bo$25bo$25bo$25bo$25bo21b2o$25bo20b2o$25bo20bo$25b
o19b2o34bo$25bo18bo36bo15bo$25bo18bo36bo14b4o$25bo18bo36bo13b2o2bo28b
2o$25bo17bo37bo13bo4bo29b6o$25bo16bo38bo13bo4bo35bo$25bo16bo38bo13bo4b
o35bo20b4o$25bo16bo38bo12bo5bo36bo18b7o$25bo15bo39bo12bo5bo36bo17bo6bo
$25bo14bo40bo12bo5bo35b2o17bo7bo$25bo14bo2b4o34bo12bo4bo35bo19bo8bo$
25bo14bo5b3o32bo13bo3bo33b2o19bo10bo24b3o$25bo14bo7bo32bo13bo2bo32b2o
21bo10bo27b2o$25bo14bo8b2o30bo14bobo29b3o22bo11bo29b2o$25bo14bo9bo30bo
13b3o28b2o25bo10bo31bo16b6o$25bo14bo9bo30bo12b2o2bo27bo26bo10bo31bo22b
2o$40bo9bo30bo11bo4bo27bo26bo10bo31bo24bo$40bo9bo30bo10bo6bo26bo26bo
10bo30bo25bo$41b2o7bo30b2o8b2o6bo26bo26bo10bo29bo26bo$42bo7bo31bo8bo8b
o24bo27bo9bo29bo27bo$43b3o2b2o32bo7bo9bo24bo27bo9bo29bo26bo29b4o$45b4o
33bo7bo5b4o25bo27bo8bo30bo25bo34b3o20b3o$82bo7b6o29b6o22b3o6bo28b2o25b
o37bo20bo$131b13o12b6o28bo26bo39bo18bo$143b2o43b2o26bo41bo16bo$187b3o
20b6o40b2o17bo$190b3o19b6o36b2o18bo$193b5o3bo16b7o27b4o17b2o$198b3o55b
3o14bob2o$258bo14bo3b2o$258bo14bo5bo$257b2o14bo5bo$254b3o16b2o4b2o$
248b6o21bo4bo$276b5o2$91bobo2$30bobo5bobo50bobo$29bo11bo$34bobo50bobob
obo$29bo11bo$30bobo5bobo46bobo47bobobobobobobobo57bo$134bobo15bo59bobo
$87bobo49bobobobobobo57bo3bo3bo$136bo15bobo$87bo49bobobobobobobobo55bo
bobobobo34bobobobo2$207bo40bobobo3bo2$207bo46bobo!
Space Invader variant, 3i so you have have as large of domino reflector as you want

Code: Select all

x = 34, y = 7, rule = B2a3i/S
2$b3o3b5o5b5o5b6o2$bo5bo3bo5b2o8b3o!
Another margolus variant but this rule is with a /S:

Code: Select all

x = 130, y = 95, rule = B2c/S1c
2$34b3o$37b4o23bo7bo50b3o$7b8o25bo23bo7bo18b3o27b3ob3o$15b2o24bo21bo8b
o17b2o14b8o6b2o5bo$16bo25bo20bo8bo17bo22bo6bo6bo$16bo25bo20bo8bo16bo
23bo6bo6bo$14b2o25bo21bo7b2o16bo23bo6bo6bo$11b3o25b3o21bo7b2o16bo22bo
8bo5bo$8b3o22b6o24bo6bobo15bo23bo9bo3bo$6b3o30b5o19bo5b2obo15bo23bo9b
4o$4b16o24bo19b6o2bo15bo2b3o17bo8b5o$45bo26bo15bob2o2b2o15bo7b2o3b2o$
45bo26bo15bo6b2o14bo7bo6bo$45bo26bo15b2o6bo14bo7bo6bo$45bo26bo16bo6bo
13bo8bo7bo$43b2o27bo16b4o3bo13bo9bo6bo$34b10o28bo19b5o13bo9bo6bo$72bo
37bo9b7o$12bo59b2o$11bo$12bo2$125bo$37bo4bo26bo37bo12bo3bo$38bo2bo26bo
22bobo27bo$92bo14bo3bo12bo$38bo2bo26bo24bo14bo12bo3bo$11bo57bo22bobo
12bo3bo8bo$10bobo93bo3bo$109bo$10bobo28bo64bo3bo$11bo28bo$37bo72bo$40b
o25bo3bo51bobo$37bo29bobo19bo2bobo$36bo53bo2bo2bo$68bo23bo2bo23bo2bobo
$69bo58bo$92bo26bo$123bobo2bo$12bo$9bobobo$8bo26bo87bobo$9bobobo22bo2b
o26bo4bo17bo2bobo$12bo52bo4bo19bo2bo2bo$36bo2bo31bo23bo$40bo24bo4bo22b
o$66bo4bo20bobo3$9bo3bo$8bobobobo2$8bobobobo$9bo3bo51bo2bo$69bo2bo$65b
o$69bo2bo4$12bobo$11bo3bo$10bobobo$9bo$14bo51bobobobo$9bobobo$8bo3bo
53bobobobo$9bobo51bobo2$63bobo2$63bobo2$63bobo9$64bo$65bo5bo$64bobobob
o$67bobobobo$66bo5bo$73bo!

I think its my favorite level 2 compound rule so far

Another space invader variation:

Code: Select all

x = 57, y = 102, rule = B2a/S1e
15$16b3o$16bo30$14bo$14bo$14bo11$15bo2bo$15bo2$15b3o$15b2o2$14bo$14bo
2bo8$14bo2bo$14bo2$15b2o$15bo4$15bo$15b2o2$14bo$14bo2$15b2o$15bo!
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

I've been looking through lvl 3 compound rules. Most of the ones that have interesting compounds are extremely explosive.
Here is an example, using the b2a in space invaders:

Code: Select all

x = 53, y = 94, rule = B2ac/S1e
24$14bobo$14bo2bo$14bo2$14bo11bobo$14bo2bo8bo2bo$14bobo3bobo3bo5bobo$
32bo2bo$14bobo3bobo3bo5bo2bo$14bo2bo8bo2bo$14bo11bobo2$14bo$14bo2bo$
14bobo8$32b6o$37bo$32b2o$34bo$30bobo$33bo$33bo$30bo12$31bobo$30bo3bo$
30bo3bo$31bobo18$28bobo3bobo$33bo3bo$26bo5bo4bo$36bo$26bo5bo!
While this explosive rule has a cool puffer:

Code: Select all

x = 13, y = 10, rule = B2ce/S0
6bo$4bo3bo2$4bo3bo$6bo2$o11bo2$6bo$4bo3bo!
Here's a cool xp4 oscillator:

Code: Select all

x = 2, y = 4, rule = B2ce/S1e
o$bo2$bo!
Another space invader rule with alot of stuff (gotta love them):

Code: Select all

x = 78, y = 46, rule = B2ae/S0
9$18b2o$17bo2bo6$9b2o4b2o4b2o7b2o3b2ob2o7b2o12b2o7b2ob2o$8bo5bo5bo2bo
5bo10bo$7bo8bo7bo3bo2bo3b2o36b2o$7bo21bo7bo34bo$24bo6bo38bo$28bo6bo38b
o$31bo6bo31bo$28bo6bo38bo9$47b2o$46bo2bo10bo$45bo4bo8bo2bo2$45bo4bo2$
45bo4bo2$45bo4bo!
-
I have also realized that this lvl 2 compound rule can have many oscillators:

Code: Select all

x = 10, y = 10, rule = B2a/S0
$bo2bo3bo2$2o2b2o2b2o2$4b2o$bo2$8bo$4bo!
aka happyhunter :D :D :D
DiliusVidal
Posts: 4
Joined: September 21st, 2026, 3:18 pm

Re: The Hunt for INT "Compounds"

Post by DiliusVidal »

Hunter wrote: October 7th, 2026, 8:22 am have also realized that this lvl 2 compound rule can have many oscillators:

Code: Select all

x = 10, y = 10, rule = B2a/S0
$bo2bo3bo2$2o2b2o2b2o2$4b2o$bo2$8bo$4bo!
if you put 2 adjacent cells it will form a sierpinski pattern
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

DiliusVidal wrote: October 7th, 2026, 6:04 pm
Hunter wrote: October 7th, 2026, 8:22 am have also realized that this lvl 2 compound rule can have many oscillators:

Code: Select all

x = 10, y = 10, rule = B2a/S0
$bo2bo3bo2$2o2b2o2b2o2$4b2o$bo2$8bo$4bo!
if you put 2 adjacent cells it will form a sierpinski pattern
That pattern also arises without the S0

Code: Select all

x = 2, y = 1, rule = B2a/S
2o!
Not relating to above but look a really cool lvl 2 compound xp10:

Code: Select all

x = 6, y = 6, rule = B2e/S2c
5bo$4bo$3bo$2bo$bo$o!
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

List of lvl 2 to lvl 3 compounds.
- Level 2 -
Block Blinker:

Code: Select all

x = 3, y = 3, rule = B0/S 
$bo!
Dot:

Code: Select all

x = 3, y = 3, rule = B/S0 
$bo!
stable douplet:

Code: Select all

x = 2, y = 2, rule = B/S1c 
o$bo!
Stable domino:

Code: Select all

x = 5, y = 7, rule = B/S1e
4$2bo$2bo!
Length 2-b2c Margolus:

Code: Select all

x = 1, y = 3, rule = B2c/S
o2$o!
Seeds:

Code: Select all

x = 2, y = 2, rule = B2e/S
o$bo!
Larger seed like oscillators

Code: Select all

x = 4, y = 4, rule = B2e/S
o$bo$2bo$3bo!
Tub:

Code: Select all

x = 7, y = 7, rule = B/S2c
3$3bo$2bobo$3bo!
Pond:

Code: Select all

x = 4, y = 8, rule = B/S2k
3$b2o$o2bo$o2bo$b2o!
Block:

Code: Select all

x = 3, y = 6, rule = B/S3a
3$b2o$b2o!
Robot Eye:

Code: Select all

x = 3, y = 3, rule = B2cn/S
obo2$obo!
Arrow oscillator thing:

Code: Select all

x = 3, y = 3, rule = B2cn/S
obo2$obo!
Beelet:

Code: Select all

x = 3, y = 3, rule = B2ck/S
obo2$bo!
Shiplet:

Code: Select all

x = 3, y = 3, rule = B2ek/S
o$2bo$bo!
This thing:

Code: Select all

x = 4, y = 4, rule = B2cn/S1e
bobo$o2$o!
- Level 3 -
xp4 ship oscillator

Code: Select all

x = 3, y = 3, rule = B2e6n/S1c
2o$obo$b2o!
xp2 z oscillator

Code: Select all

x = 2, y = 3, rule = B2k3a/S0
o2$bo!
Last edited by Hunter on October 8th, 2026, 2:06 pm, edited 2 times in total.
aka happyhunter :D :D :D
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TheWayOfTheCon
Posts: 403
Joined: March 28th, 2025, 11:40 pm
Location: Always moving, always traveling through time

Re: The Hunt for INT "Compounds"

Post by TheWayOfTheCon »

If I understand this correctly, this...

Code: Select all

x = 0, y = 0, rule = B2-a/S2-k
!
#C [[ RANDOMIZE2 ]]
would be a "Level 2" compound, but this...

Code: Select all

x = 0, y = 0, rule = B2-a/S12-k
!
#C [[ RANDOMIZE2 ]]
would not count, because one condition is not followed by a letter.
I could've chose a better username, but oh well.

I think I've learned the ropes of cellular automata. My current interest is range-two LTLs.
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

TheWayOfTheCon wrote: October 8th, 2026, 1:23 pm If I understand this correctly, this...

Code: Select all

x = 0, y = 0, rule = B2-a/S2-k
!
#C [[ RANDOMIZE2 ]]
would be a "Level 2" compound, but this...

Code: Select all

x = 0, y = 0, rule = B2-a/S12-k
!
#C [[ RANDOMIZE2 ]]
would not count, because one condition is not followed by a letter.
You have the idea right, though I feel like it would be cheating to allow the use of minuses to allow all but one letters. So the first rule you shown would actually be presented as a level 10 rule since its B2cekin/S2ceain. Ill update the first description to not count the use of minuses as only 1 letter.


Edit: lvl 3 that sper triangle thing:

Code: Select all

x = 245, y = 177, rule = B2ai/S0
20$148b2o2$39bo3bo2bo3bo3bo93b2o$39bo3bo$42bo4b3o$41bo$41bo2b3o4bo2bo
2$48bo107b2o$51bo$156b2o6$164b2o2$164b2o6$156b2o14b2o2$156b2o14b2o5$
39bo$39bo108b2o30b2o2$43bo104b2o30b2o$43bobo5$172b2o14b2o2$172b2o14b2o
6$196b2o2$148bo7bo7bo7bo7bo7bo7bo$191bobo4bo$149bo7bo7bo7bo7bo5b2o2bob
obo2b7o$147bo7bo7bo7bo7bo$187b2o17b3o2bo$211bo$187b2o21bo$211bo$187b2o
17b3o2bo4$187b2o17b3o2bo$211bo$187b2o21bo$211bo$187b2o17b3o2bo$147bo7b
o7bo7bo7bo$149bo7bo7bo7bo7bo5b2o2bobobo2b7o$191bobo4bo$148bo7bo7bo7bo
7bo7bo7bo2$196b2o$41bobo$41bobo$42bo$41bo$41bo2bo$172b2o14b2o2$172b2o
14b2o6$148b2o30b2o2$148b2o30b2o4$45bo$41bobo$41bo3bo110b2o14b2o2$41bo
3bo110b2o14b2o$41bobo$45bo4$164b2o2$164b2o6$156b2o2$156b2o6$148b2o2$
148b2o!
aka happyhunter :D :D :D
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FWKnightship
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Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: The Hunt for INT "Compounds"

Post by FWKnightship »

Crossposting my 8c/56o in B2ac/S.
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

Amazing ship FWKnightship, is that the only different level 2 speed known? Really cool to look at also.
On the topic of space invaders here's a cool level 3 rule mentioned by ThePlayzr which turns out has a lot of stuff. Three natural spaceships, and alot of puffers, even a rake.

Code: Select all

x = 308, y = 489, rule = B2ac3n/S
27$217bo5bo5bo$213bo21bo$211bo23bo$215bobo5bo$211bo$223bo11bo$223bo11b
o$227bobo$222bo3bo3bo3bo$218bo3bo3bo3bo3bo$227bobo$218bo4bo11bo$223bob
obobo5bo$231bo$211bo$235bo$211bo23bo$207bobo9bobo3bobo3bobo$213bobo17$
227bobo$227bobo3$227bobo$225bo3bo2$225bo20$232bo$238bo$238bo$232bo4$
205bobo9bobo9bobobobobo$205bo11bo11bo7bo$207bo11bo11bo$238bo$230bo7bo$
204bo11bo$230bo5bo$204bo11bo9bo5bo$238bo$204bo11bo9bo11bo2$204bo11bo
17$237bo3bo$241bo$239bo$235bobo$239bo$241bo$237bo3bo13$204bobo$212bo
17bo5bo$210bo3bo3bobo7bo3bo$210bo3bo13bo7bo$212bo17bo11bo$226bobo3bo7b
o3bo$222bobobobo11bo3bo2$200bobo9bobo30bo$239bo5bo2$241bo16$233bo$239b
o$233bo5bo2$235bobo2$233bo5bo$239bo$233bo3$104b2o$34b2o35b2o20b2o$27b
2o74bobob2o$33bo2bo56bobo$27b2o74bobob2o$33bo2bo32bob2obo161bobobobobo
$232bo3bo7bo$33bo2bo32bob2obo$232bo5bo3bo$33bo2bo31bo6bo162bo3bo$240bo
$33bo2bo29bo3bo2bo3bo$27bobo$68bo6bo$27bobo$33bo2bo32bob2obo$27bobo$
32bo4bo$27bobo$33bo2bo$27bobo$238bo5bo$27bobo186bo11bo9bobobobo$231bo$
216bo11bo4bo5bobobobo$229bo3bo5bo5bo19$216bo5bo17bo5bo$216bobobobo17bo
bobobo$209bo$211bo5bobobobo17bobobobo$207bo3bo5bo5bo17bo5bo18$234bo$
242bobo$234bo7bobo2$236bobo2$234bo7bobo$242bobo$234bo17$241bobo2$239bo
3bo$223bobo9bobo9bobo$223bo11bo11bobo$225bo11bo$246bobobo$244bo5bo22$
223bo19bobobo$269bo$221bo5bo11bo11bo11bo11bo$227bo11bo11bo11bo11bo$
216bobo9bobo21bo5bo10bo$240bo23bo$222bo9bo7bo23bo$228bo23bo5bo$224bo
19bobobo23$225bo24bobo$250bobo$225bo$237bobo5bobobobo$233bobobobo5bo5b
o$233bobo$227bo7bo$227bo5bo7bobo$217bo2$217bo19$221bo2$219bo5bo5bobo3b
obo3bobo$247bobo$221bo3bo23bo$223bo11bobo9bo$247bo$233bo5bo5bo3bo$245b
o3bo$235bobo9bo16$237bobobobo2$237bobobobo3bo$239bobobo3bo2$223bo5bo5b
o3bobobo2$223bo5bo5bo18$235bobo3bobo$237bo3bobo2$234bo$234bo3bobobo$
234bo3bobobo$226bobo5bo3bo2$236bo$224bobo3bobo26$187bo11bo23bo23bo23bo
11bo2$185bo3bo7bo3bo19bo3bo19bo3bo19bo3bo7bo3bo$181bo23bo11bo11bo11bo
11bo11bo23bo$179bo3bo3bo11bo3bo3bo7bo3bo3bo3bo3bo7bo3bo3bo3bo3bo7bo3bo
3bo11bo3bo3bo$179bo3bo19bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo19bo3bo2$
178bo3bo19bo3bo7bo3bo7bo3bo7bo3bo7bo3bo7bo3bo19bo3bo$178bo3bo3bo11bo3b
o3bo7bo3bo3bo3bo3bo7bo3bo3bo3bo3bo7bo3bo3bo11bo3bo3bo$180bo23bo11bo11b
o11bo11bo11bo23bo$184bo3bo7bo3bo19bo3bo19bo3bo19bo3bo7bo3bo2$186bo11bo
23bo23bo23bo11bo!
aka happyhunter :D :D :D
1and0nlycordershippr
Posts: 401
Joined: December 20th, 2025, 8:34 pm
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Re: The Hunt for INT "Compounds"

Post by 1and0nlycordershippr »

If I understand correctly, this would be Level 4, since S1 = S1ce:

Code: Select all

x = 64, y = 64, rule = B2ce/S1
b6ob3obobo2bob2o4b2ob5ob3ob3o2bob2ob4obobobobo2b2o$3o2bo2bob2ob2o3b3o
2b3o2b7o3bo2bobobob2ob4ob2ob5o$2o4bo2bob2ob3o4b2obo2bo5bo2bobob2obob2o
bo3bobo$2ob3obob4o3b2obo2b2o2bo2b2o5bob4o3bo4bo3b2o2bob2o$b2o11b2o4b2o
2bo3b3obo4bobo4b2o4b2obo3bo2b2o$3o2bo4bo2bobo7bo3b2obo2bo5b2ob3o2bo3b
o3b2obo3bo$2o3b2ob2ob2o3b2o3b2obo6b2o2b2ob2o4b3o2b2ob2o3b2obo$bo4bo2b
ob2o4b3ob2obo2b8o5b7ob3o2b3obob3obo$o2b4ob4obo2b2ob2ob3obob3o3b3obo2b
3o6b2ob3ob2o$2bob2ob2o2b2o2bob2o2b4o3b5obo2b2o2b2obobobo2bobo3b2o$2o3b
2o2bobo4b6ob3o3bob2o5b2ob2o2bo2bobo2b3ob2ob3o$bo4bo3b2ob3obo4bo6b8ob2o
bob5o2b2ob3obobo$bob2ob3o7b2o2b2obo4b4ob6o4b11ob2o3b2o$2bo3b2obo6b2ob
2obobobo2bo2bo2b2o3b2o2bo3b4obo2b2o4b2o$2bobo2b2ob3o2b2o2bo3bo2b3obob
4o2b2obo2b3o2b2ob6obo2bo$b2o2bob2o3b3o2b2ob3ob2o2b4obo2b2o2bobo6bob2o
4b2ob4o$3ob2obobo5b2o2b5obobob2ob4o2b6obob2o2b2obob2o2b4o$b4ob4ob2ob2o
b2obobo2bo2bobo2b2o3bo2bo3b2ob2obobo2bob2obobo$4b2o2b2obo3b3o3b2ob4o2b
ob2o2bobob3o2bo4bo2b3o2bob4o$2ob4obobo3bobobob2o2b4o2b4obobo4bobo2bob
3ob3o2bo3b2o$4obobo2b3o3bobob4ob2o2b6ob2ob4ob3obob2o3bo6b2o$b2o8bobob
o5b2o2bo2bobo3b4o2b3obo2b3ob2o2b2obobo2bo$b2ob2o2b2o4b2ob2o2bobob3o2b
5o4b2ob2obob3o2bobo2b2obobo$obobo2bo2bo2bob2obobo2b8ob2o2bo3bob2o2b3o
b2ob4o2bo3bo$o2bobo3bobobo3b2o2b2obo3b3obo2b2o2bob3o2bob3o2b3o2bob2o$
2obob3o4b2o2bo2b2o3bob2o3bob2o3b4ob2o5b3obo3b2o3bo$bo2b2ob3o2b2o3b2ob
2ob4obob3o3b5obo2bob3o3bobobo3bo$bo2bobob2o3b2o5bobo3bobo5bob2ob2o4bo
2bobob2o3bo2bob2o$ob3ob6o3bo2bo2bo2bo2b2o2b2ob3obo2b3o4bo4bo2b4o2b2o$
b3obob2o4bob3o8bo5bo2bo2bo3b2obo5bobob2o2bobobo$obob3ob2ob2o2b3obob2o
b3o2b2o3bo2bo4b4o3b4o2bobobo2b2o$2bo3b2o4bobob3obobo4bo2bo3b3o2b4ob2o
b2obo2b2obo2b2o$2bo2bo2b7o4bo3bob4o4b5o7bo3bo2b4ob4o$bobo2b4o2b3obobo
3bob3obo3bo4b3o2bo2bob5ob2o3bobo2bo$bobo2bob7ob2ob6obob3ob2ob2obo3b2o
bo2bob3obob3obobo$o2bob2o3b4o4bob6ob3o2b2o2bob3obobo3bobo3b2o$2bo2bob
2o2bob2obo3bo2bo3bo2b5o3b2o5bobobo2b3o3b3o2bo$o2b2o2b5obo3b4obo4b4o2b
2obobo4b4o2bobobob3obobobo$b2o2b2ob5o5b2o3bob3o5b2o3b2o2bo3b2obobo3b2o
3bob2o$2b2o2b2o2bo3bob4o4b2obo2b2o2b2o3b3obo2b2ob3o2bo5bobo$3o2b2o4bo
2b5ob3o2bob3o2bobo4b4obo2b3ob2o6b2o$obobo3b2ob2obo3bo2b2obobobob4o5b3o
4b3ob2o2bobob6o$2o2b3o3bo4b2o5bo6b2ob7o2b3o2b2o7b3ob3obo$3bo2b3ob4ob2o
b6ob4ob2obo2bobobob2o2b2obobo5bo2b4o$2o2b2obob4ob2ob5o3b8ob2obo3bob3o
2b4obobo5bo$b2o3bob2ob3o2bob3o2b2o2b2o5bo3bo2b3obo2b5o5b2o2b2o$2b3o3b
obo2bo3b3ob6obo4bobo3b2o3bo4bob2o7bo2bo$3bob2o3bobo3b2obo3bob2o4b8o2b
7o5bob2obob3o$obo2b4o3b2ob2obobobobobo6bob2ob6o4bob2o2b2obo2b2o$obob4o
2bo2bobo2bo6b2o3b2obo2bo4b3obo5bobobo2bob2obo$2bob2o3bobob3o5bobobob2o
2bo2bo3bo2b3obo2bo3b2o5b3o$bo2b4o2bobo4bo4b9obo2bob2o2bo2b2o2b4o2b2o3b
ob2o$ob3ob2ob4o4bo2bo2bo2b3o2bobo2bobob4obobo2bobob4ob2o$3ob2obo2b2o2b
2o2bo2bo2b3ob2o2b5o2bo3bo3bo2bo5b2obobobo$ob2o3bobo3bo5b5o2b2ob4o4bob
2obob5o3bo5bo$2bo3bo2b2ob2ob3o3b2o2bo2bo2b2ob2o3bobobob4obobo2bo3bobo
bo$bo3bob3obob2ob3obobo2b3o3b3ob2obo2b2ob3obo2b4obob3ob2o$o2bobo2bob3o
2b9ob3o4bo2bo3b5ob3o3b3obob2o$bobobobo6bob2obo4b2ob2obo4b5o2bobobo2b3o
5bo2b4o$o4b8ob2obo2bo3b4ob2o2bob2o3bobo5b2o2bo6bobo$3o2bobobo7b2o2b3o
3b2ob5obob3o3b9o4b3o3bo$ob2o2bo2b3o2bo3bo9b3ob3obo6bo2bo2b2o3b3o3b3o$
o3b2obo3bobo3bo2bobo9bo4b2o2b2obo2bo2b2o4bo2b3o$2bob2o3b7o2bob2ob3o3b
obo3bo2b3o5b2o2b2ob4ob3o2bo!
weird

Code: Select all

x = 8, y = 12, rule = R4,C2,S2-3,B3,N@000000038181c0000005
obo$b2o$bo8$6b2o$6b2o!
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

1and0nlycordershippr wrote: October 9th, 2026, 9:15 pm If I understand correctly, this would be Level 4, since S1 = S1ce:

Code: Select all

x = 64, y = 64, rule = B2ce/S1
b6ob3obobo2bob2o4b2ob5ob3ob3o2bob2ob4obobobobo2b2o$3o2bo2bob2ob2o3b3o
2b3o2b7o3bo2bobobob2ob4ob2ob5o$2o4bo2bob2ob3o4b2obo2bo5bo2bobob2obob2o
bo3bobo$2ob3obob4o3b2obo2b2o2bo2b2o5bob4o3bo4bo3b2o2bob2o$b2o11b2o4b2o
2bo3b3obo4bobo4b2o4b2obo3bo2b2o$3o2bo4bo2bobo7bo3b2obo2bo5b2ob3o2bo3b
o3b2obo3bo$2o3b2ob2ob2o3b2o3b2obo6b2o2b2ob2o4b3o2b2ob2o3b2obo$bo4bo2b
ob2o4b3ob2obo2b8o5b7ob3o2b3obob3obo$o2b4ob4obo2b2ob2ob3obob3o3b3obo2b
3o6b2ob3ob2o$2bob2ob2o2b2o2bob2o2b4o3b5obo2b2o2b2obobobo2bobo3b2o$2o3b
2o2bobo4b6ob3o3bob2o5b2ob2o2bo2bobo2b3ob2ob3o$bo4bo3b2ob3obo4bo6b8ob2o
bob5o2b2ob3obobo$bob2ob3o7b2o2b2obo4b4ob6o4b11ob2o3b2o$2bo3b2obo6b2ob
2obobobo2bo2bo2b2o3b2o2bo3b4obo2b2o4b2o$2bobo2b2ob3o2b2o2bo3bo2b3obob
4o2b2obo2b3o2b2ob6obo2bo$b2o2bob2o3b3o2b2ob3ob2o2b4obo2b2o2bobo6bob2o
4b2ob4o$3ob2obobo5b2o2b5obobob2ob4o2b6obob2o2b2obob2o2b4o$b4ob4ob2ob2o
b2obobo2bo2bobo2b2o3bo2bo3b2ob2obobo2bob2obobo$4b2o2b2obo3b3o3b2ob4o2b
ob2o2bobob3o2bo4bo2b3o2bob4o$2ob4obobo3bobobob2o2b4o2b4obobo4bobo2bob
3ob3o2bo3b2o$4obobo2b3o3bobob4ob2o2b6ob2ob4ob3obob2o3bo6b2o$b2o8bobob
o5b2o2bo2bobo3b4o2b3obo2b3ob2o2b2obobo2bo$b2ob2o2b2o4b2ob2o2bobob3o2b
5o4b2ob2obob3o2bobo2b2obobo$obobo2bo2bo2bob2obobo2b8ob2o2bo3bob2o2b3o
b2ob4o2bo3bo$o2bobo3bobobo3b2o2b2obo3b3obo2b2o2bob3o2bob3o2b3o2bob2o$
2obob3o4b2o2bo2b2o3bob2o3bob2o3b4ob2o5b3obo3b2o3bo$bo2b2ob3o2b2o3b2ob
2ob4obob3o3b5obo2bob3o3bobobo3bo$bo2bobob2o3b2o5bobo3bobo5bob2ob2o4bo
2bobob2o3bo2bob2o$ob3ob6o3bo2bo2bo2bo2b2o2b2ob3obo2b3o4bo4bo2b4o2b2o$
b3obob2o4bob3o8bo5bo2bo2bo3b2obo5bobob2o2bobobo$obob3ob2ob2o2b3obob2o
b3o2b2o3bo2bo4b4o3b4o2bobobo2b2o$2bo3b2o4bobob3obobo4bo2bo3b3o2b4ob2o
b2obo2b2obo2b2o$2bo2bo2b7o4bo3bob4o4b5o7bo3bo2b4ob4o$bobo2b4o2b3obobo
3bob3obo3bo4b3o2bo2bob5ob2o3bobo2bo$bobo2bob7ob2ob6obob3ob2ob2obo3b2o
bo2bob3obob3obobo$o2bob2o3b4o4bob6ob3o2b2o2bob3obobo3bobo3b2o$2bo2bob
2o2bob2obo3bo2bo3bo2b5o3b2o5bobobo2b3o3b3o2bo$o2b2o2b5obo3b4obo4b4o2b
2obobo4b4o2bobobob3obobobo$b2o2b2ob5o5b2o3bob3o5b2o3b2o2bo3b2obobo3b2o
3bob2o$2b2o2b2o2bo3bob4o4b2obo2b2o2b2o3b3obo2b2ob3o2bo5bobo$3o2b2o4bo
2b5ob3o2bob3o2bobo4b4obo2b3ob2o6b2o$obobo3b2ob2obo3bo2b2obobobob4o5b3o
4b3ob2o2bobob6o$2o2b3o3bo4b2o5bo6b2ob7o2b3o2b2o7b3ob3obo$3bo2b3ob4ob2o
b6ob4ob2obo2bobobob2o2b2obobo5bo2b4o$2o2b2obob4ob2ob5o3b8ob2obo3bob3o
2b4obobo5bo$b2o3bob2ob3o2bob3o2b2o2b2o5bo3bo2b3obo2b5o5b2o2b2o$2b3o3b
obo2bo3b3ob6obo4bobo3b2o3bo4bob2o7bo2bo$3bob2o3bobo3b2obo3bob2o4b8o2b
7o5bob2obob3o$obo2b4o3b2ob2obobobobobo6bob2ob6o4bob2o2b2obo2b2o$obob4o
2bo2bobo2bo6b2o3b2obo2bo4b3obo5bobobo2bob2obo$2bob2o3bobob3o5bobobob2o
2bo2bo3bo2b3obo2bo3b2o5b3o$bo2b4o2bobo4bo4b9obo2bob2o2bo2b2o2b4o2b2o3b
ob2o$ob3ob2ob4o4bo2bo2bo2b3o2bobo2bobob4obobo2bobob4ob2o$3ob2obo2b2o2b
2o2bo2bo2b3ob2o2b5o2bo3bo3bo2bo5b2obobobo$ob2o3bobo3bo5b5o2b2ob4o4bob
2obob5o3bo5bo$2bo3bo2b2ob2ob3o3b2o2bo2bo2b2ob2o3bobobob4obobo2bo3bobo
bo$bo3bob3obob2ob3obobo2b3o3b3ob2obo2b2ob3obo2b4obob3ob2o$o2bobo2bob3o
2b9ob3o4bo2bo3b5ob3o3b3obob2o$bobobobo6bob2obo4b2ob2obo4b5o2bobobo2b3o
5bo2b4o$o4b8ob2obo2bo3b4ob2o2bob2o3bobo5b2o2bo6bobo$3o2bobobo7b2o2b3o
3b2ob5obob3o3b9o4b3o3bo$ob2o2bo2b3o2bo3bo9b3ob3obo6bo2bo2b2o3b3o3b3o$
o3b2obo3bobo3bo2bobo9bo4b2o2b2obo2bo2b2o4bo2b3o$2bob2o3b7o2bob2ob3o3b
obo3bo2b3o5b2o2b2ob4ob3o2bo!
Yea that rule (and the b2c glider) is level 4, and I'm pretty sure level 4 is the minimum level for diagonal ships.
aka happyhunter :D :D :D
1and0nlycordershippr
Posts: 401
Joined: December 20th, 2025, 8:34 pm
Location: Vietnam
Contact:

Re: The Hunt for INT "Compounds"

Post by 1and0nlycordershippr »

Lvl 9:

Code: Select all

x = 3, y = 3, rule = B3aijn/S2ae3jnr
bo$b2o$obo!
weird

Code: Select all

x = 8, y = 12, rule = R4,C2,S2-3,B3,N@000000038181c0000005
obo$b2o$bo8$6b2o$6b2o!
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

Been trying random ideas. Here's a level 4 2c/4o

Code: Select all

x = 4, y = 3, rule = B2e3i/S1e2k
4o2$o!
From a rule with a hive replicator.
Making oscillators out of this rule is easy:

Code: Select all

x = 4, y = 6, rule = B2e3i/S1e2k
b2o3$4o2$b2o!
Different rule has a cool level 4 xp5, Looks like a sun:

Code: Select all

x = 3, y = 3, rule = B2e3i/S2ce
bo$obo$bo!
Level 5 spaceship:

Code: Select all

 x = 5, y = 6, rule = B3ai/S1e2i3i
2$bo$bobo$bo!
Last edited by Hunter on October 11th, 2026, 12:26 am, edited 1 time in total.
aka happyhunter :D :D :D
User avatar
I6_I6
Posts: 1103
Joined: July 26th, 2025, 8:44 pm
Location: Here, there, somewhere, anywhere, everywhere.
Contact:

Re: The Hunt for INT "Compounds"

Post by I6_I6 »

Are these levels just how many total birth and survival transitions a rule has?

Code: Select all

#C [[ THEME Golly ]]
x = 27, y = 15, rule = LifeHistory
8.A$A6.A.A$3A4.BA2B.B2D$3.A4.2B.2B2DB$2.2A2.3B.6B2.3B$2.20B$4.19B$4.2B
C10BD4B$4.2B2C10BD4B$4.B2C11B2D3B$4.13B2D4B$5.12BD3B.B2A$6.13B3.BA.A$
6.3B.B3.B10.A$25.2A!
RuleEdit: A .rule file editing tool
User avatar
NNlk05
Posts: 793
Joined: January 14th, 2026, 8:42 pm
Location: Exploring in the Jungle of the INT Rulespace
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Re: The Hunt for INT "Compounds"

Post by NNlk05 »

I6_I6 wrote: October 10th, 2026, 3:40 pm Are these levels just how many total birth and survival transitions a rule has?
Yes.

Very weird rep -> breeder

Code: Select all

x = 4, y = 3, rule = B2ce3a/S13a
b2o$o2bo$b2o!
Turns into c/2

Code: Select all

x = 4, y = 3, rule = B2ce3a4t/S13a
b2o$o2bo$b2o!

This rule has common 5 cell lines:

Code: Select all

x = 64, y = 64, rule = B2ce3a/S12i3a
ob3ob4o4b2o3bob3obob2ob3o3b3o9b2ob4ob5o$o2b3ob6obob3o3b3o3b2o2bo2b5o4b
2obobo2b2o2bob4obo$4obob2obobobo4b6ob3o3bobo4b2o5bobo2b6o3bobo$o3b3o5b
o2bo7b2o3b2obobo3b2obob5o2b7o4b2o$b3obo2b4o2b2ob4o2bo2b2o5b3ob2obo4b3o
2b5ob2ob2obo$2b3ob6o2bo2bo4b5o2bo3b4o3bo2bob4o2bo5bo2b4o$bobob2o3b2ob
ob2o8bobobobo3b2o5bo2b7obo2b3obo$5b8o3b3ob2o4b3o2b4ob2obo2b2ob2obo2bo
2bob5ob2o$b4o4bo2b4obob2o2b2o2b4ob2o2b2ob2ob2o2bobo6b3obo3bo$o12bo2b4o
2b2ob2o4b2obo2bo3bobo2bobobobo2bo4bo$bo5b3ob2ob2o2bo3b3ob3o3bob4obo2b
3obobob4o5b3obo$2o3b2obo3b2ob2obo3b3o4bo5b2obo6b2o2bobo8b2o$5b3obo3b3o
2b2ob2o3bo2bob2o4b2ob4o2b4ob3obo2bo3b2o$3ob2obo2b3o2bob6ob2ob2o2bob3o
bobobo4bo2b2o3bob2o2bob2o$2bobobobob2o2bo4bob5o2bo2bo4bo2b3obobobobob
5o2b2ob3o$5ob3o5b4ob2o2b2obo3bob2o3b3o7bob3obobob2o2b3o$b4obo2bob3obo
2b6ob2o4b2o3bo2bobob2o3bo2b2obo2bob3o$b3obobobo6b3obobobo4bobobo3bo2b
2obo2bob2obobob3obo2b2o$o2b5ob2ob2o3b2obob2o2b3obob4obobo6bobobob2ob2o
2b4o$3bobo3bo2b3obob4o3bo2b2obobob4o2bob5o5bob2o3bobo$5b4o4bobo4bobob
2o2bo3bo2b4obob10ob2o2b5obo$8o3bob4o2bo2b2obo2bobob2ob3ob3o3bo5b3o8bo
$3obobob2obo8b3ob2obobo3bo3b2obo4bob2obo2b2ob4ob3o$3o7b4o3b2o2b4o3b2o
4bo2bo4b3o2b2o4bob2o3bo2bo$b2o2b2o5b4obo3b6ob2o3bob5obobo3b2o4bob3obo
3bo$b5obo2bo2bobobo3b6o3b4o2b7ob2obobob2obob2obob2o$3ob2o2b3o2bob2obo
6b2ob2o2bo3b3o3bobob3o2bo2b3o2b2o2bo$obob2obo2bo2bobo2b2o2bob5o2bobo2b
obo9bo2bo2bobob2obobo$o2b4o3b2ob3obobo3bo4b3o2bob4o3b3o2bo2bobo2b3ob2o
bo$ob3obob3o2b4o3bo2bo4bob2o3b2obob5o4b3ob3obo$o7bob3o3b3ob2o2bob6o2b
2o3bo4b2ob2obob2o4b2ob2o$2ob2ob2obobo2b2obob3o2b4obo2b2ob3o2bo2b2o2bo
2bob2o2b2o2b2obo$2o2bob2o2b3o2bobob2obobob4ob2o2bo3bob4o3b2ob2o2b2obo
2bobo$7b2obobobo2b2obobo7b4ob2obo6bo3bo2b2o2bobo4bo$b4obo3bobo3bobob2o
bo6b3o2b6ob4o2b2o2bob4ob2o2bo$6obob4ob2o2bob3o5b2obo4bobo2b2obob4o2bo
2b5obo$3b4o2bo2b2obob2o2b4obob2obob2o6b2ob2obo4bo7b2obo$b2o2b2o2b2o2b
ob2ob2o2b3ob6o5b2o3b4o4bo7b2o$o2b5o2b2ob2ob2o2bo4bob2o2b2o2bobobo2bob
o2bo2bo3b2obo2b4o$2b3obob9o5b2obob2o2b3ob2obo2bo2bob2ob2o5bob2ob3o$2b
2o2b4o3b3o4bobobo2b2ob4ob2obo3bobob4o2b2ob2o2b2obo$b2o4bobob2o5b2ob4o
7bobo2bob2o2bob2obo6b3ob5o$bo3bob2obob2o3b3o2b3o3bo2bo3bob3o2bob3ob3o
5bo2b4o$bobo4b3o2b2o3bobo3b2obo3b3o4bobo3bo2b3o2b2ob3o4b2o$3o3b2ob3o2b
o2b5obo2bo3bob2ob2ob2o2bob3obo2bob5ob3obo$obobob2ob2o2bob3o2b4ob5obob
o7bob7obo4bo$b2o3bobo3bob2obobo2bo4b2o3bob2o4b3o3bobobo2b3o2b6o$o4b2o
3b3obo2b4ob3ob2o2b2ob3o3b3ob3o4b4ob2o2bo3bo$2o2bobo6b4ob3ob2obobo2bob
2obob4o2b2ob3obo2b2ob8o$4bob2o2b2o4b2o2b2o2b3obob2o2b2o2bo3bo5b4o3b2o
b2obo$3bob3o2b2ob3obobobo3bobobobo3b2ob2obob3o3b2ob2ob4ob2o$3bob4ob3o
b2obo3bo2b2o3bo2b2o2b4o3b2ob2o3bo2bob2obob2o$obo2bo2bobo3b3obo2bo2b2o
b3o3b12obo3b3o2bobo2bo2bo$o7b4obo3b2obobo2bobobo3bo5bo2bob2ob2obobo2b
obo2b3o$2bo2b3obobobobo2bo3b2obo3b3o4bo2bobo4bo4bo2b2o2b6o$4b3o2bo2bo
b2ob2obo2bobobob2o4bo2b3o2bo5bobobob3o5bo$2bob2o2bo2bo3b2ob3o2b4obob2o
3b3o2b2ob5ob6ob2o3bo$2o2bo4b2ob2ob2obob3ob2ob3o2bo2bob2o2b3o2bo2bo2b2o
bo2b2o2bo$2bo10bo4bobobo3bo2b2ob4o3bo2b2ob2o5bo3bo5bo$o2b2ob3o4b4obo4b
3obo6b2obo2b2ob2ob2o3b2obo3b3ob2o$o3bobob2ob5o2bo3bo2b3o2bo4b2o6b2obo
4b4obobob2obo$bob3obobo2bob7obob4o2bo4bo4b4obobo2b3ob2o2b4o$3bo2b3ob2o
3b3ob2o2bo4b2o6bobo3bo2b2o2b2ob2o2b3obobo$2bo2b4o2b2o2b2obobo2bob3ob2o
b2obo2bob4obob2ob4obobo2bob2o!
Feci quod potui, faciant meliora potentes.

Code: Select all

x = 10, y = 3, rule = B34twz/S23
b2o4b2o$obo4bobo$2bo4bo!
[[ AUTOSTART AUTOHIDEGUI TRACK 0 -47/270 ZOOM 4 GPS 45 STEP 3 THEME BOOK ]]
https://nnlk05.github.io

=3
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

NNlk05 wrote: October 10th, 2026, 3:41 pm
This rule has common 5 cell lines:
Forget about that. That level 8 rule has a c/6d ship!

Code: Select all

x = 2, y = 5, rule = B2ce3a/S12i3a
2o2$bo2$bo!
I think it would be cool if we start listing the minimum level for spaceships speeds, like 5s but instead of smallest spaceships its the smallest level.

Also

Code: Select all

 x = 3, y = 4, rule = B2ce4t/S1
obo2$obo$bo!
is a level 5 ship. Make sure to use catalogue object search to see the minimum level it is.
Last edited by Hunter on October 10th, 2026, 7:12 pm, edited 1 time in total.
User avatar
LuveelVoom
Posts: 858
Joined: April 27th, 2022, 7:59 pm
Location: The 102 dimensional INT hypercube

Re: The Hunt for INT "Compounds"

Post by LuveelVoom »

Hunter wrote: October 10th, 2026, 4:23 pm I think it would be cool if we start listing the minimum level for spaceships speeds, like 5s but instead of smallest spaceships its the smallest level.
"Level" refers here to "Number of transitions in rulestring"?
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

LuveelVoom wrote: October 10th, 2026, 4:34 pm
Hunter wrote: October 10th, 2026, 4:23 pm I think it would be cool if we start listing the minimum level for spaceships speeds, like 5s but instead of smallest spaceships its the smallest level.
"Level" refers here to "Number of transitions in rulestring"?
Yes
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

List of the stuff in this level 5 rule: https://catagolue.hatsya.com/census/b2ces01/C1

Code: Select all

x = 700, y = 115, rule = B2ce/S01
25$370bo47b2o$370bo12b11o23bo59b6o21bo13bo$333b8o15bo12b2o9b3o33bo42b
5o12bo4bo22bo13b2o31bo12b7o$341b2o13bo12b2o9bo34bo44bo3b2o8b2o4b2o22bo
14b4o28bo19bo$343b2o11bo11bobo9bo34bo43bo5bo7bo6b2o22bo18b2o26bo20bo$
304b6o35bo10bo11bobo8bo34bo17b8o16b3o6bo6bo6bobo23bo18bo27bo19bo$303bo
6b3o32bo10bo11bobo8bo33bo26b2o13bo8bo7bo6bobo23bo18bo27bo19bo$313bo31b
o10bo11bobo8bo33bo28b3o8b3o7b2o7bo5bo2bo23bo18bo27bo19bo41bo$313bo26b
5o11bo10bo2bo8bo32bo31bo7bo9bo10b3obo3bo23bo17bo28bo19bo42bo24bo$313bo
22b4o16bo10bo3bo7bo32bo30bo8bo7b2o13b3o3bo23bo17bo28bo18bo19bo23bo24bo
$313bo19b3o20bo9bo4bo7bo31bo31bo8bo7bo20bo23bo17bo28bo18bo19bo24bo23bo
16b2o$25bo6bo280bo20b3o20bo8bo4bo7bo31bo30bo9bo7bo20bo23bo16bo29bo17bo
20bo8bo15bo23bo15bo$25bo6bo146b5o129bo23b3o17bo8bo4bo7bo31bo30bo10bo6b
o20bo23bo16bo30bo16bo20bo9bo14bo23bo14bo$25bo6bo17b2o15b2o115b4o8b2o
115bo26b2o16bo7bo4bo7bo31bo29bo11bo5bo20bo24bo15bo31bo15bo21bo9bo15bo
22bo14bo$25bo6bo16b2o16bo91b4o23bo11b6o109bo28bo15bo6bo5bo8bo30bo29bo
12bo3bo21bo24bo15bo31bo10b8o19bo9bo15bo22bo13bo$25bo6bo14b2o17bo7b4o7b
o4b3o18b5o8b6o29b2obo23bo16bo109bo29b2o13b2o5bo5bo8b4o26bo29bo13bo3bo
21bo24bo14bo32bo9b6o3b2o18bo8bo15bo22bo13bo$24bo7bo13bo19bo5b4obo7bo7b
o21bo7b2o4bo12bo4bo10bo3bo22bo17bo109bo31bo14b3obo6bo12b11o15bo29bo14b
4o21bo24bo14bo32bo20b3o15bo8bo14b3o21bo12bo$24bo7bo13bo19bo5bo4bo7bo8b
o19b2o6bo6bo12bo3b2o10bo3bo21bo18bo107b2o33bo16b2o6bo22b3o13bo29bo12b
5o22bo24bo13bo33bo22bo15bo8bo15b2o21bo11bo$24bo6b2o13bo19bo5bo4bo6b2o
7bo19bo8bo6bo12bo3b2o9bo2b2o21bo18b2o105b2o35bo24bo24bo13b14o15bo11b2o
5bo21bo24bo12b2o33bo22bo15bo8bo15b2o21bo11bo$24bo5bobo12b2o19bo5bo3bo
7bo7b2o15b5o8bo6bo12bo3b2o8b5o22bo18bo104b2o36bo25bo24bo14bo12b2o13bo
10bo8bo20bo24bo12bo34bo22bo15bo8bo15b2o21bo11bo$24b2o4bobo12b8o13bo5bo
3bo7bo4b3o15b3o12b2o4bo13b2o2b2o8bo3bo21bo17b2o103b2o36b2o26bo24bo15bo
13bo12bo9bo9bo20bo23bo11b3o34bo22bo15bo8bo15b2o21bo11bo$25b5o2bo12bo7b
o12bo5b5o7bo3b9o11b11o5b5o14b3obo8b5o21bo14b3o103b18o17b5o28bo24bo15b
2o12bo11bo10bo9bo20bo23bo10bo37bo21bo16bo8bo14bobo21bo10bo$32bo12b2o6b
o12bo17bo62bo33bo13b2o123b2o12b4o33bo23bo18bo11bo11bo9bo10bo20bo23bo9b
o37bo21b2o16bo9bo13bobo21bo10bo$32bo13b3o4bo12bo80b2o31bo11b3o176bo22b
2o18bo11bo10bo10bo9b2o20bo23bo9bo37bo18b3o18bo9bo12bo2bo21bo10bo$32bo
15b6o125bo12b13o166b2o19b3o20b2o8b2o10bo10bo7b2o22bo23bo9b2o36bo14b4o
21bo9bo12bo2bo21bo10bo$32bo146bo210b3o24bo7bo10bo11bo5b2o24bo23bo10b3o
14bo19bo12b2o25bo9bo10b2o3bo21bo10bo$32bo145bo207b4o28b3o3b2o10bo11b6o
64b15o19bo10b2o37bo8b2o5bo21bo10bo$32bo351b2o35b3o12bo165b2o5b2o7bo21b
o9b2o$32bo350bo52bo166b6o9bo21bo10b3o$436bo181bo21bo10bob2o$436bo181bo
21bo11bo2b3o$618bo21bo11b2o3b2o$475bo3bo138bo21bo13b5o$618bo$473bobo3b
obo136bo$336bo281bo$309bo3bo26bo113bobo17bo5bo$116bobobo216bo4bo109bo
5bo13bo3bobo$310bobo27bo18bo29bo64bobo17bo$144bobo2bobo42bobo141bo23bo
bo49bo3bo34bo3bo18bo$144bobo2bobo42bobo114bo76bob2o19b2o7b2o32bobo19bo
$50bo19bo74bo4bo44bo166bo30bo20bo3bo33bo5bo145bo$49bobo14bobo3bobo120b
o163bo31bo62bobo$27bobo59bo53b3o4b3o234bo24b2obobob2o15bo18bo100b2o45b
obo$26bobobo35bobo3bobo13bobo52b2obo2bob2o285bo115bo6bo$26bobo3bo17bo
19bo43bo7bo24b2o44b2ob2o217bobo17bo4bo11b2o3b2o142bo5bo$32bo15bo3bo90b
o2bo2bo2bo42bo65b3o152bo21bo32bo41bo42bobo82bo2bobo$25bo2bobo58bo154bo
4bo10bo77bo77bo52bo41bo6bo81bo7bo30bo8bo$87bo3bo103bo48bo3b2o10bo99b2o
2b2o49bobo16bo36bob2o38bo43bo42bo7bo33b2ob2o$26b2o2bobo37bo123bobo47bo
3b2o9bo48bo2bo25bobo18bo8bo148bo40bo44bo3bo$195bo48bo3b2o8b5o43bo6bo
46b2o2b2o50bo56bobo126bo3bo33bob2obo$28b2o2bo160bo3bo46b2o2b2o8bo3bo
45bo2bo24bo142bo$195bo49b3obo8b5o209bo168bob2o$194bobo52bo87bobo134bo
3bo$249b2o391b2o$318bo19bo137bo$194bobo$192bo5bo$189bo4bobo4bo$194bobo
$601b2o$188bo13bo$603bo$189b2o9b2o$192bo5bo47bo15bobo337b2o$245bobo14b
obo335bo$263bo338bo$245bobo$263bo337bo!
In the level 4 b2c glider rule you can corderise the replicator to get this 10c/24o spaceship:

Code: Select all

x = 37, y = 30, rule = B2ce/S1
3$9b2o11b2o$11bo9bo$4bobo2b2o11b2o2bobo3$4bobo19bobo3$5bo21bo$5bo21bo
3$4bobo19bobo3$4bobo19bobo!
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

Small Level 5 spaceship:

Code: Select all

x = 12, y = 7, rule = B2c3ae/S1c3e
2$7bo$6b3o!
This rule has two similar ships

Code: Select all

x = 9, y = 3, rule = B2e3ir/S1e2c
3o3b3o2$o5bobo!
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

Level 5 spacefiller from Heav

Code: Select all

x = 12, y = 11, rule = B2ae3er/S1e
10bo$3b2o6bo$3b2o3bo2bo$2obo4bobo$2o3b2obobo$2o6bo2bo$3bo2bo4bo$4b2o4b
o$11bo$11bo$10bo!
Stuff from that rule (All three oscillators listed are actually smaller level compounds.

Code: Select all

x = 248, y = 274, rule = B2ae3er/S1e
16$234bo$233bobo$234bobo$235bobo$236bobo$237bobo$238bobo$239bobo$242bo
$242bo$241bo7$234bo$233bobo$234bobo$235bobo$236bobo$237bobo$238bobo$
241bo$241bo$240bo11$235bo$234bobo$131b2o102bobo$130bo2bo102bobo$129bo
107bobo$129bo108bobo$130bo110bo$241bo$240bo10$228bobobo3bo$233bobobo$
228bobo5bobo$233bobobobo$228bobobobo3bobo$241bo$241bo$240bo8$36b3o198b
o$18bo4b2o10b2obo3bo193bobo$18bo4bobo8b2o2bo3b2o193bobo$18bo4bobo8bo3b
o4bo10b3o181bobo$18bo4bobo7b2o3bo4bo10bob2o183bo$18bo4bobo7bo4bo4b2o7b
2o3bo183bo$18b2o2bo2bo7b6o5bo7bo4bo182bo$19b3o2bo8b4o7bo6bo4bo$23b2o6b
3o2b2o6bo6bo3b2o$23bo6b2o5bo6bo6b5o$23bo6bo6bo6bo6b2o$23bo6bo6bo$23bo
7bo5bo$23bo7b2o3b2o$32b5o2$238bo$237bobo$36bo10bobo188bobo$22bo12bobo
8bo194bo$21bobo10bo12bobo191bo$20bo12bobobo10bo191bo$21bobo10bobo12bo
7$231bo3bobo$230bobobo3bo$231bo7bo$230bobobobo3bo$231bo3bobobobo$242bo
$242bo$241bo6$239bo$240bo$240bo$239bo11$236bo$237bo$237bo$218bobobobob
obobobobobo$219bobobobobobobobobo8$235bo$236bo$234b3o2$233bo3bo$233bo
3bo2$234bo2bo$237bo$236bo6$235bo$236bo$234b3o2$234b3o$236bo$235bo7$
227bo$228bo7bo$228bo8bo$221bobo3bo9bo$220bobobo3bobobobobo$223bobobo3b
o3bo$220bo5bo3bo3bo$221bobobobobobobo11$227bo3bobo$226bobobo3bo$227bo
7bo$226bobobobo3bo$227bo3bobobobo$238bo$236b3o2$236b3o$238bo$227bo3bob
obobo$226bobobobo3bo$227bo7bo$226bobobo3bo$227bo3bobo4$199bo2$215bo3bo
bo3bo3bobo$214bobobo3bobobobo3bo$215bo7bobo7bo$214bobobo5bo3bo5bo$215b
o3bo3bobo3bo5bo$214bo3bobobobobo3bo5bo$215bo3bobobo3bobobo5bo$220bo5bo
bobobobo3bo$221bobobobobo3bobobobo$240bo$240bo$239bo10$214bobo5bo5bobo
bo$213bo3bo3bobo3bo5bo$214bobo5bobobo3bo3bo$223bo5bobo3bo$214bobo3bobo
3bobobobo3bo$213bo3bobobobobobo3bobo3bo$214bobo3bobobo3bobobobobobo$
239bo$239bo$238bo5$238bo$239bo$237b3o2$237b3o$237b3o2$237b3o$239bo$
238bo!
Last edited by Hunter on October 13th, 2026, 1:08 pm, edited 3 times in total.
aka happyhunter :D :D :D
melwin22
Posts: 57
Joined: September 9th, 2017, 5:40 am

Re: The Hunt for INT "Compounds"

Post by melwin22 »

This level 3 rule was mentioned on the forums a few times, but not yet in this thread.

A tiny Sierpinski generator:

Code: Select all

x = 4, y = 4, rule = B2ace/S
b2o2$o2bo$o!
A small rake that emits a replicator and diagonal streams of ships:

Code: Select all

x = 7, y = 6, rule = B2ace/S
2o$2bo$3bo$4bo$5bo$6bo!
Much crazier stuff:

Code: Select all

x = 12, y = 11, rule = B2ace/S
2o$2bo$3bo$4bo$5bo$6bo$7bo$8bo$9bo$10bo$11bo!
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

melwin22 wrote: October 13th, 2026, 12:54 pm This level 3 rule was mentioned on the forums a few times, but not yet in this thread.

A small rake that emits a replicator and diagonal streams of ships
Nice rule, three types of spaceships which is cool, also you can delete the replicator to just get the rake.
aka happyhunter :D :D :D
Hunter
Posts: 69
Joined: July 10th, 2026, 4:44 pm

Re: The Hunt for INT "Compounds"

Post by Hunter »

level 3 b2a rule has interesting ships:

Code: Select all

x = 32, y = 13, rule = B2ae/S1c
2$28b2o$27bo$2b2o3b2o11b2o4bo$4bobo18bo$2bobobobo15bo2bo$23bo$25bo!
level 8 diagonal ship:

Code: Select all

x = 5, y = 5, rule = B2cek3ir/S1e2a
obo$o$bo2bo$2bo$3b2o!
Also some cool level 7-8 oscillators in that rule.

level 6 4o/12c and some other ships:

Code: Select all

x = 72, y = 28, rule = B2cek/S01
15$10bo3bo$12bo2$8bo5bo8b3o9bobo6bo$46bo13bo$10bobo12bo9bobo$22bobo11b
o7bo15bo$10bobo46bobo$11bo34bobo10bobo2$46bobo$47bo!
Last edited by Hunter on October 14th, 2026, 7:03 pm, edited 1 time in total.
aka happyhunter :D :D :D
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