Request a Rule to be "Tamed"

[LittleLWSS]

I got this life like rule: B2n3-q4qz/S23-ekq4z7e.

But Phoenix doesn't work, I need a Phoenix variant of this, and I want to know that the needed, optional, and forbidden conditions about Phoenix as an "iterating quine"(oscillator) with period 2. B/S012345678 make a Phoenix quine(still-life).

[confocaloid]

Sounds like some sort of confusion.

(1) What you mean by "iterating quine" or "Phoenix quine"?

(2) B/S012345678 doesn't have any oscillators; every pattern is a still-life.

(3) A phoenix is a pattern such that every alive cell dies in the next generation, but the pattern as a whole never dies out completely.

(4) B2n3-q4qz/S23-ekq4z7e fails to be a Life-like cellular automaton, see the definition: https://en.wikipedia.org/wiki/Life-like ... _automaton (It must be a two-state outer-totalistic CA with range-1 Moore neighbourhood to count)

I got this life like rule: B2n3-q4qz/S23-ekq4z7e.

But Phoenix doesn't work, I need a Phoenix variant of this, and I want to know that the needed, optional, and forbidden conditions about Phoenix as an "iterating quine"(oscillator) with period 2. B/S012345678 make a Phoenix quine(still-life).

[LittleLWSS]

(1) What you mean by "iterating quine" or "make a Phoenix quine"?

[/quote]

Iterating quine means oscillator, quine means still-life. I'm also an enthusiast of programming, and I saw someone calls an iterating quine(a program that output another program's source code and looping until output the original source code) oscillator.

[confocaloid]

If you mean phoenix 1, then it's as follows I think:

Code: Select all

#C 2^91 = 2475880078570760549798248448 two-state isotropic cellular automata with Moore neighbourhood:
#C required birth conditions: B3nqr
#C required survival conditions: S
#C optional birth conditions: B2ein3aceijky4aceijknqrtwyz5aceijknqry6aceikn7ce8
#C optional survival conditions: S1c2aceikn3aceijknqry4aceijknqrtwyz5aceijknqry6aceikn7ce8
#C forbidden birth conditions: B01ce2ack
#C forbidden survival conditions: S01e
x = 8, y = 8, rule = B2n34qz/S23-ekq4z7e
3bo$3bobo$bo$6b2o$2o$6bo$2bobo$4bo!

The reason why this oscillator doesn't exist in B2n3-q4qz/S23-ekq4z7e is because the cell condition B3q is a required birth condition for the oscillator, but it isn't a birth condition in B2n3-q4qz/S23-ekq4z7e.

Code: Select all

#C The cell condition B3q (up to rotations and reflections):
x = 3, y = 3, rule = B3q/SHistory
D2C$3D$C2D!
#C [[ GRID VIEWONLY ]]

[LittleLWSS]

Code: Select all

#C forbidden survival conditions: S01e
x = 8, y = 8, rule = B2n34qz/S23-ekq4z7e
3bo$3bobo$bo$6b2o$2o$6bo$2bobo$4bo!

A fuse that in the rule you said:

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x = 194, y = 194, rule = B2n34qz/S23-ekq4z7e
obo$bo$b3o$3bo$3b3o$5bo$5b3o$7bo$7b3o$9bo$9b3o$11bo$11b3o$13bo$13b3o$
15bo$15b3o$17bo$17b3o$19bo$19b3o$21bo$21b3o$23bo$23b3o$25bo$25b3o$27bo
$27b3o$29bo$29b3o$31bo$31b3o$33bo$33b3o$35bo$35b3o$37bo$37b3o$39bo$39b
3o$41bo$41b3o$43bo$43b3o$45bo$45b3o$47bo$47b3o$49bo$49b3o$51bo$51b3o$
53bo$53b3o$55bo$55b3o$57bo$57b3o$59bo$59b3o$61bo$61b3o$63bo$63b3o$65bo
$65b3o$67bo$67b3o$69bo$69b3o$71bo$71b3o$73bo$73b3o$75bo$75b3o$77bo$77b
3o$79bo$79b3o$81bo$81b3o$83bo$83b3o$85bo$85b3o$87bo$87b3o$89bo$89b3o$
91bo$91b3o$93bo$93b3o$95bo$95b3o$97bo$97b3o$99bo$99b3o$101bo$101b3o$
103bo$103b3o$105bo$105b3o$107bo$107b3o$109bo$109b3o$111bo$111b3o$113bo
$113b3o$115bo$115b3o$117bo$117b3o$119bo$119b3o$121bo$121b3o$123bo$123b
3o$125bo$125b3o$127bo$127b3o$129bo$129b3o$131bo$131b3o$133bo$133b3o$
135bo$135b3o$137bo$137b3o$139bo$139b3o$141bo$141b3o$143bo$143b3o$145bo
$145b3o$147bo$147b3o$149bo$149b3o$151bo$151b3o$153bo$153b3o$155bo$155b
3o$157bo$157b3o$159bo$159b3o$161bo$161b3o$163bo$163b3o$165bo$165b3o$
167bo$167b3o$169bo$169b3o$171bo$171b3o$173bo$173b3o$175bo$175b3o$177bo
$177b3o$179bo$179b3o$181bo$181b3o$183bo$183b3o$185bo$185b3o$187bo$187b
3o$189bo$189b3o$191bo$191b3o$193bo!
[[ THEME POISON ]]

[dl-rs]

Request to tame this rule. Somehow, I haven't yet found a 128*128 soup exhibiting infinite growth, but when I run the following pattern in golly at 10^3 speed, it simply won't stabilise.

Code: Select all

x = 512, y = 1, rule = B2-a3ceij4knqtwz5jknq6ei78/S2-a3ceij4cnqwz
512o!

Can anybody tame it to make it still highly chaotic and nearly explosive?

[confocaloid]

B2-a3ceij4knqtwz5jknq6ei78/S2-a3ceij4cnqwz

Beginning with these two spaceships (p2 orthogonal c/2 and p8 orthogonal c/2):

Code: Select all

#C 2^36 = 68719476736 two-state isotropic cellular automata with Moore neighbourhood:
#C required birth conditions: B2ceikn3ceij4n5q6i7ce8
#C required survival conditions: S2ceikn3cij4w
#C optional birth conditions: B3ky4kqrtwyz5acjkny6aek
#C optional survival conditions: S3eknqy4ceknqtz5cejn6an
#C forbidden birth conditions: B01ce2a3anqr4aceij5eir6cn
#C forbidden survival conditions: S01ce2a3ar4aijry5aikqry6ceik7ce8
x = 25, y = 8, rule = B2-a3ceij4knqtwz5jknq6ei78/S2-a3ceij4cnqwz
22bo3$20bobobo$2bo18bobo$3o19bo$ob2o$3o!

here are some possibilities:

• Add the survival condition S4e:

  Code: Select all

  x = 512, y = 1, rule = B2-a3ceij4knqtwz5jknq6ei78/S2-a3ceij4cenqwz
  512o!
  

• Remove the survival condition S4c:

  Code: Select all

  x = 512, y = 1, rule = B2-a3ceij4knqtwz5jknq6ei78/S2-a3ceij4nqwz
  512o!
  

• Remove the birth condition B6e:

  Code: Select all

  x = 512, y = 1, rule = B2-a3ceij4knqtwz5jknq6i78/S2-a3ceij4cnqwz
  512o!
  

• Remove the birth condition B4w:

  Code: Select all

  x = 512, y = 1, rule = B2-a3ceij4knqtz5jknq6ei78/S2-a3ceij4cnqwz
  512o!
  

• Add the birth condition B5y:

  Code: Select all

  x = 512, y = 1, rule = B2-a3ceij4knqtwz5jknqy6ei78/S2-a3ceij4cnqwz
  512o!
  

I think all of these are "one tweak away" from the ruleset you provided, where "one tweak" means one replaced indivisible isotropic rule. For example,

• adding the birth condition B5y amounts to replacing the "nonbirth" rule A5y by the birth rule B5y,
• removing the survival condition S4c amounts to replacing the survival rule S4c by the death rule D4c,

and so on.

[PiSpaceships]

Make this rule more active while keeping this spaceship:

Code: Select all

x = 10, y = 5, rule = B012/S5
$6bo$2bobobo$4bo$3bobo!

It can be explosive, but it must still clearly divide into day and night areas.

EDIT: Just make it contain more interesting objects. And it must be still range-1 Life-like B0 rule.

[confocaloid]

With all of those restrictions, it is possible that you already found the most 'interesting' choice in the space. It might be a matter of searching more to find more 'interesting' objects/reactions in the same CA.

One could drop all of the restrictions "range-1", "Life-like", "B0". Instead of a CA with strobing background emulated by alternating two different rulesets, one could put "the same" spaceship in a two-state isotropic CA with quiescent state-0 background, like this:

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x = 115, y = 46, rule = R3,C0,S1-5,7-24,27-49,51-59,62-64,66-81,83-85,87-109,111-131,133-205,207-276,278-285,288-311,313-331,333-425,427-431,433-435,438-530,532-560,562-585,587-679,681-1962,1964-2086,2090-2172,2174-2313,2315-2317,2319-2338,2340-2417,2419-2437,2440-2442,2445-2462,2465-2546,2549-2567,2570-2587,2590-2624,B35-36,55-56,76-77,160-161,180-181,185-186,206,285,306,310,451,535-537,661,1944,2038,2063,2093,2187-2188,2192,2198,2292,2312,2337-2338,2347,2418,2492,2514,2538,2542,2559,2563-2564,2574,2598-2599,2618,2624,NW007D7D007D7D007D7D0001007D7D7D00051905007D000119001901007D00051905007D7D7D0001007D7D007D7D007D7D00
52b44o$52b44o$52b44o$52b44o$52b44o$52b44o$52b44o17bo$52b44o18bo$52b23o
b20o16b3o$4bo47b24ob19o$obobo47b22o3b19o$2bo49b44o$bobo48b44o$52b44o$
39b57o$39b57o$39b57o$39b57o$39b57o$39b28o3b26o$39b29ob27o$39b57o$39b
14ob42o$39b10obobob42o$39b12ob44o$22b3o14b11obob43o$23bo15b57o$39b57o$
39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$
39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$39b57o$39b57o!

This particular example is 'boring' for how soups behave, but one could choose an 'interesting' example from the same space, but that's not going to match your restrictions.

Make this rule more active while keeping this spaceship:

Code: Select all

x = 10, y = 5, rule = B012/S5
$6bo$2bobobo$4bo$3bobo!

It can be explosive, but it must still clearly divide into day and night areas.

EDIT: Just make it contain more interesting objects. And it must be still range-1 Life-like B0 rule.

[islptng]

Make this rule more active while keeping the knightship and its rotational symmetry:

Code: Select all

x = 4, y = 5, rule = MAPERYRFh5oHmgW6BboaIBogBZoFmhogGiAaIBogIAAgAAWaBZoaIBogGiAaICAAIAA6IDogIAAgACAAIAAAAAAAA
2o$bobo$ob2o2$o! [[ RANDOMIZE ]]

(Note: The rule is rotate4 symmetry. It's B3/S3 plus B2a/S2a in 4 directions.)

Edit 1: Fix rule description.

[confocaloid]

EDIT 2.75: this modification may be interesting (p34 oscillator, p16 oscillator, the knightship). See below for more details on how one could tweak the rules of this cellular automaton further.
The optional birth conditions for all of the shown objects are: {20, 60}, {26, 62, 74, 78}, {53, 71, 77, 79}, {80}.
And the optional survival conditions are: {26, 62, 74, 78}, {50, 70}, {80}.
To preserve the rotate4 symmetry, either include all conditions in a set, or exclude all conditions in a set.

Code: Select all

x = 88, y = 88, rule = R1,C0,S2,5-7,10-11,13,15,18-21,23,29-31,33,37,39,45,47,54-55,57,60-61,63,69,B2,5-7,11,13,15,17-19,21,29,31,33,37,39,45,51,54-55,57,59,63,73,NW0101031B00031B0909
46b2o$46bobo$45bo$45b2o$47b2o13$46bo$48bo$45bobo$46bo$46bo14$36b2o$36b
2o12b3o$36bo14b2o$38bo10bo$bo2bo13bo$o3bo14bo$2obo13bo2b2o$2b2o15bo3$
68bo15b2o$66b2o2bo13bob2o$68bo14bo3bo$69bo13bo2bo$38bo10bo$35b2o14bo$
35b3o12b2o$50b2o14$41bo$41bo$40bobo$39bo$41bo13$39b2o$41b2o$42bo$39bob
o$40b2o!

[...] It's B3/S3 plus B2a in 4 directions.)

Looks like the description doesn't match the definition; some subcases of the survival rule S2a are used as well:

Code: Select all

x = 18, y = 18, rule = R1,C0,S2,5-7,11,13,15,18-19,21,29,31,33,37,39,45,54-55,57,63,B2,5-7,11,13,15,18-19,21,29,31,33,37,39,45,54-55,57,63,NW0101031B00031B0909
b2o$b2o12b3o$bo14b2o$3bo10bo11$3bo10bo$2o14bo$3o12b2o$15b2o!

Weighted neighbourhood (weights given in decimal):

Code: Select all

01 01 03
27 -- 03
27 09 09

EDIT 1: here are optional birth/survival conditions (given as sets; to preserve rotate4 symmetry, for every line either include all listed conditions or exclude all listed conditions):

Code: Select all

optional birth conditions:
{11, 19, 33, 57}
{17, 51, 59, 73}
{20, 60}
{23, 47, 61, 69}
{25, 35, 65, 75}
{26, 62, 74, 78}
{40}
{50, 70}
{53, 71, 77, 79}
{80}

Code: Select all

optional survival conditions:
{10, 30}
{17, 51, 59, 73}
{20, 60}
{23, 47, 61, 69}
{25, 35, 65, 75}
{26, 62, 74, 78}
{41, 43, 49, 67}
{44, 52, 68, 76}
{50, 70}
{53, 71, 77, 79}
{80}

[LittleLWSS]

Tame this rule but keep LWSS and add MWSS and HWSS into it.

Also, if you want, add Zeta(Z-pentomino) into it, to generate alien things.

I was half-tamed it. The rule is given by tommyaweosme: B3/S234e5i

After my half-tame: B3-q4z/S2-n3-q4ez5i

[confocaloid]

The request misses an answer to the question:

Why wouldn't CGoL (B3/S23) count? (Or why B3/S234z wouldn't count, if you want to have the Z-pentomino as a still-life.) In both cases, the LWSS is kept, the MWSS and the HWSS are added, and both B3/S23 and B3/S234z look "tame enough" as far as could be expected from a two-state isotropic cellular automaton with Moore neighbourhood.

It sounds as if you wanted to preserve something else (from either B3/S234e5i or B3-q4z/S2-n3-q4ez5i or both), but forgot to specify what exactly.

Tame this rule but keep LWSS and add MWSS and HWSS into it.

Also, if you want, add Zeta(Z-pentomino) into it, to generate alien things.

I was half-tamed it. The rule is given by tommyaweosme: B3/S234e5i

After my half-tame: B3-q4z/S2-n3-q4ez5i

[LittleLWSS]

It sounds as if you wanted to preserve something else (from either B3/S234e5i or B3-q4z/S2-n3-q4ez5i or both), but forgot to specify what exactly.

p2:

Code: Select all

x = 4, y = 4, rule = B3-q4z/S2-n3-q4ez5i
2b2o$bobo$o$2o!

p1:

Code: Select all

x = 6, y = 6, rule = B3-q4z/S2-n3-q4ez5i
4b2o$5bo$2b2o$2b2o$o$2o!

p2 c/2(With B3q):

Code: Select all

x = 5, y = 4, rule = B3-q4z/S2-n34ez5i
2bo$b3o$o$bob2o!

[CARuler]

either of the rules in this post, but keep the objects in the collection

[confocaloid]

either of the rules in this post, but keep the objects in the collection

Some possibilities:

Code: Select all

#C weighted neighbourhood (weights given in hexadecimal; '0D' means 13; '75' means 117):
#C 01 75 75 01 75 75 01
#C 75 01 75 75 75 01 75
#C 75 75 0D 0D 0D 75 75
#C 01 75 0D -- 0D 75 01
#C 75 75 0D 0D 0D 75 75
#C 75 01 75 75 75 01 75
#C 01 75 75 01 75 75 01
#C
#C [[ GRID THEME MCell ]]
x = 85, y = 58, rule = R3,C0,S26,144-157,251-263,273-275,377-393,494-510,611-628,728-745,846-863,963-980,1082-1096,1214,1677,B40,157,273-276,390-393,494,507-511,624-627,652,741-745,771,781,824,859-862,975-980,1067,1094-1096,1105,1110,1210-1213,1332,1446,1460,NW017575017575017501757575017575750D0D0D757501750D000D750175750D0D0D75757501757575017501757501757501
62bo$7b2o20bo15bo15bo2bo$6bobo19bobo13bobo14bo2b2o$6bo21bobo13bobo15bo
3b2o$6b2o21bo15bo16bo3b2o$7b4o49bo2b3o$60bo2bo18$30b2o3b2o3b2o3b2o18b
2o$9b3o20b2o3b2o3b2o3b2o18b2o$9b3o20b2o3b2o3b2o3b2o18b2o$9b3o18b2o3b2o
3b2o3b2o18b2o$6b3o$6b3o$6b3o8$30b2o3b2o3b2o18b2o3b2o$32b2o3b2o3b2o18b
2o3b2o$32b2o3b2o3b2o18b2o3b2o$30b2o3b2o3b2o18b2o3b2o12$20b2o11bo$2bo
15bo4bo7bo3bo8bo2bo35b2o$3o21bo11bo11bo18bo15bo$3o15bo5bo6bo4bo7bo3bo
19bo12bob2o$2bo16b6o7b5o8b4o17b3o13bo!

Code: Select all

#C weighted neighbourhood (weights given in hexadecimal; '0D' means 13; '75' means 117):
#C 75 75 75 01 75 75 75
#C 75 -- 01 75 01 -- 75
#C 75 01 0D 0D 0D 01 75
#C 01 75 0D -- 0D 75 01
#C 75 01 0D 0D 0D 01 75
#C 75 -- 01 75 01 -- 75
#C 75 75 75 01 75 75 75
#C
#C [[ GRID THEME MCell ]]
x = 66, y = 55, rule = R3,C0,S26,28,39-41,120,133,144,146,156-159,235-236,250,260-264,273-278,378-380,382-383,391-393,481,495-497,508-509,598,612-613,626-629,732,743,745-746,845-846,B13,26,40-42,56,156-159,161-162,273-277,378,381,391-395,407,431,481,499,507-512,523,536,624-629,641,743-745,860-863,979-980,1214,NW757575017575757500017501007575010D0D0D017501750D000D750175010D0D0D01757500017501007575757501757575
4b2o$4b2o23b2o18bo13bo$3bo2bo56b2o$5bo20b2o4b2o29bo$4bobobo$5bob2o20b
2o$8bo$47bo12$2bo7bo$bobo5bobo$o3bo3bo3bo14b2o3b2o3b2o3b2o18b2o$bobo5b
obo17b2o3b2o3b2o3b2o18b2o$2bo7bo18b2o3b2o3b2o3b2o18b2o$27b2o3b2o3b2o3b
2o18b2o11$27b2o3b2o3b2o18b2o3b2o$3bo4bo20b2o3b2o3b2o18b2o3b2o$b2ob4ob
2o18b2o3b2o3b2o18b2o3b2o$3bo4bo18b2o3b2o3b2o18b2o3b2o12$17b2o11bo$15bo
4bo7bo3bo8bo2bo$21bo11bo11bo18bo$15bo5bo6bo4bo7bo3bo19bo$16b6o7b5o8b4o
17b3o!

[dl-rs]

Request taming the following rules, all categorised by their abnormally natural puffers:
B3-y7e/S2-n34i
B3-c5k/S2-i34i
B3-c4c5k8/S2-i34i

[M. I. Wright]

I badly want an INT rule with an affinity for diagonal lines. These two rules golfed from LuveelVoom's Bubbles IV rule come close, but there's not enough you can do with the diagonal SLs for them to be interesting. Can someone get closer to having SLs that evolve into new SLs when perturbed, ideally creating larger composite shapes?

Code: Select all

#C [[ RANDOMIZE ]]
x = 50, y = 50, rule = B3air4aceirw567/S2-a3-e4kn
!

Code: Select all

#C [[ RANDOMIZE ]]
x = 50, y = 50, rule = B3air4aceirw567/S2-a3icknyq4cknyq5jek
!

(Also the first rule's type of natural linear growth is definitely nicer than the second rule's)

[CARuler]

Code: Select all

#C [[ RANDOMIZE ]]
x = 50, y = 50, rule = B3air4aceirw567/S2-a3icknyq4cknyq5jek
!

(Also the first rule's type of natural linear growth is definitely nicer than the second rule's)

the second rule has a puffer

Code: Select all

x = 229, y = 93, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejk
31bo$30bobo$29bo3bo$28bobobobo13bo$47bobo$27bobo3bobo10bo3bo$45bo5bo$
25bobo2bobo2bobo6bo7bo47bo$27bo2bobo2bo7bo9bo45bobo16bo30bo$26bobo5bo
bo7bo7bo45bo3bo14b3o28b3o$45bo5bo45bo3bo14b5o26bobo$46bo3bo45bo3bo14b
3ob3o23b3o$47bobo45bo3bo16b5o$31bo16bo47bobo18b3o25b3o$29b5o9bo53bo20b
o27bo$28bo5bo8b3o$27bob5obo7b2obo$28bo5bob3o2bo4b2o$29bobobo4bo2b6obo
$30b3o5b6o3bo66bob3o$31bo5b2o3bo3bo$33bo2b6o27bo44b5o$33bo4bobo27bobo
35bo8b2o$34bo3bo28bo3bo33bobo7bo$35b3o28bo5bo31bobobo4bo$65bo7bo31bob
o4b3o30bo$64bo9bo31bo4b5o29b2o$65bo7bo36b3ob3o27bo$66bo5bo38b5o27bo$67b
o3bo40b3o$68bobo42bo37b3o$69bo80bo3bo$149bo5bo$62bo85bo3bo2bo$61bobo41b
o42bo2bo3bo$60bo3bo39bobo41bo5bo$59bo3bo39bob3o41bo3bo$58bo3bo41bo3bo
41b3o$59bobo6bo39bo46bo$51b3o6bo5b5o31bo5bo45bobo$50b5o11bo3bo32bo49b
3obo$5bo43b7o9b2ob4o20bo9bo22bo8bo17b3o3bo6bo28b3o12b3o$4bobo42b3o2bo
bo7bob2o2b3o19bo31bobo6bobo17b3o2bo5bobo27bo2bo11bo2bo$3bo2b2o4bobobo
31bob2obo3bo6bobob2ob3o18bo19bo10bo2b2o4bo3bo15bo5bo4bo2b2o4bobobo16b
7o3bo3b5obo$2bo2bo5bobobobo27bob3o2bo2b2obo4b2o2b2o3b4o35bo4bo5bo2bo5b
o5bo9bo5b3o6bo2bo5bobobobo14bo7bobobo4b2ob3o6bo3bobo$bo2bo5bo7bo18bo6b
o8b2obo2b2ob2o5bo2bo3bo33bo3bo2bo3bo2bo5bo7bo7bobo3b3o2bo3bo2bo5bo7bo
11b3o3bo4bobobo2bob2o3bo4bo2b3o2bo$o2bo5bo9bo17bo6bo11bobobob3obo2bob
o4bo14b3o15bo4bo2bo2bo2bo5bo9bo5bo3bo3b2o5bo2bo5bo9bo10bobo3bob2o3bob
o2bob2o3bo3bobob3o2bo$bo2bo5bo7bo18bo6bo8b2obo2b2ob2o5bo2bo3bo33bo3bo
2bo3bo2bo5bo7bo7bobo3b3o2bo3bo2bo5bo7bo11b3o3bo4bobobo2bob2o3bo4bo2b3o
2bo$2bo2bo5bobobobo27bob3o2bo2b2obo4b2o2b2o3b4o35bo4bo5bo2bo5bo5bo9bo
5b3o6bo2bo5bobobobo14bo7bobobo4b2ob3o6bo3bobo$3bo2b2o4bobobo31bob2obo
3bo6bobob2ob3o18bo19bo10bo2b2o4bo3bo15bo5bo4bo2b2o4bobobo16b7o3bo3b5o
bo$4bobo42b3o2bobo7bob2o2b3o19bo31bobo6bobo17b3o2bo5bobo27bo2bo11bo2b
o$5bo43b7o9b2ob4o20bo9bo22bo8bo17b3o3bo6bo28b3o12b3o$50b5o11bo3bo32bo
49b3obo$51b3o6bo5b5o31bo5bo45bobo$59bobo6bo39bo46bo$58bo3bo41bo3bo41b
3o$59bo3bo39bob3o41bo3bo$60bo3bo39bobo41bo5bo$61bobo41bo42bo2bo3bo$62b
o85bo3bo2bo$149bo5bo$69bo80bo3bo$68bobo42bo37b3o$67bo3bo40b3o$66bo5bo
38b5o27bo$65bo7bo36b3ob3o27bo$64bo9bo31bo4b5o29b2o$65bo7bo31bobo4b3o30b
o$35b3o28bo5bo31bobobo4bo$34bo3bo28bo3bo33bobo7bo$33bo4bobo27bobo35bo
8b2o$33bo2b6o27bo44b5o$31bo5b2o3bo3bo$30b3o5b6o3bo66bob3o$29bobobo4bo
2b6obo$28bo5bob3o2bo4b2o$27bob5obo7b2obo$28bo5bo8b3o$29b5o9bo53bo20bo
27bo$31bo16bo47bobo18b3o25b3o$47bobo45bo3bo16b5o$46bo3bo45bo3bo14b3ob
3o23b3o$45bo5bo45bo3bo14b5o26bobo$26bobo5bobo7bo7bo45bo3bo14b3o28b3o$
27bo2bobo2bo7bo9bo45bobo16bo30bo$25bobo2bobo2bobo6bo7bo47bo$45bo5bo$27b
obo3bobo10bo3bo$47bobo$28bobobobo13bo$29bo3bo$30bobo$31bo!

[R2INT]

I badly want an INT rule with an affinity for diagonal lines. These two rules golfed from LuveelVoom's Bubbles IV rule come close, but there's not enough you can do with the diagonal SLs for them to be interesting. Can someone get closer to having SLs that evolve into new SLs when perturbed, ideally creating larger composite shapes?
[...]

Here is a possibility:

Code: Select all

#C why does this sort of remind me of HROT rules that have low survival conditions?
#R B2in3aikn4eijy5kry6i8/S12-i3cikny4ay5cey6en
!
# [[ RANDOMIZE ]]

Some 4-cell eaters for the c/3:

Code: Select all

x = 10, y = 25, rule = B2in3aikn4eijy5kry6i8/S12-i3cikny4ay5cey6en
$bo$2bo2$7b2o$7bo$7b2o2$2bo$bo9$bo$2bo5b2o$8bo$8b2o$3bo$2bo!

Pattern collection:

Code: Select all

x = 34, y = 45, rule = B2in3aikn4eijy5kry6i8/S12-i3cikny4ay5cey6en
22bo$21bobo$21bobo8$24b2o2b2o$10bo4bo7b3o2bo3bo$11bo3bo7b2o4bobo$28bo
$28b2o2$5bo4bo4bo$6bo4bo3bo6b2ob2o2bo$7bo2bo5bo5bobobo2bo2b2o$23b2o5b
2obo$22bo8b2o$o4bobo2bo4b2o5b2o$b2o3bo3bo4bo$o4bo5b2o3bo2$22bobo$10bo
bo2b2o5bo$10b2o3bobo5b2o$12bo3bo3$15b2o$15bobo4bo2b2o$16b2o4bo3bo$23b
obo$22bo$22bobo4$22bobo$24b2o$22b5o$23b2o$24bobo!

[b-engine]

Here's a p124 shuttle-like statorless oscillator:

Code: Select all

x = 3, y = 4, rule = B2i3-e4c5n6i/S2-i3-a4i7c
o$2o$b2o$2o!

But there are no obvious spaceship I could find. Could the p124 being preserved while adding a common spaceship?

As well as this loop-like failed replicator:

Code: Select all

x = 3, y = 4, rule = B2i3-e4c5n/S2-i3-a4i7c
o$2o$b2o$2o!

Is there any more stable version of this?

[confocaloid]

This looks like it has some potential for being interesting, but it might be somewhat of an interesting CA-related challenge to articulate why it could be interesting:

Code: Select all

x = 3, y = 4, rule = B2i3-e5n6i/S2-i3-a4i7c8
o$2o$b2o$2o!

Here's a p124 shuttle-like statorless oscillator:

Code: Select all

x = 3, y = 4, rule = B2i3-e4c5n6i/S2-i3-a4i7c
o$2o$b2o$2o!

But there are no obvious spaceship I could find. Could the p124 being preserved while adding a common spaceship?
[...]

Note that the pattern is a non-oscillator predecessor to a p124 oscillator.

Not sure about "preserved", that depends on how far you are willing to go. The given evolutionary sequence can be found unchanged in only two CA of the same type (S8 is an optional survival condition).
Here "CA of the same type" means "two-state isotropic cellular automaton with Moore neighbourhood".
Allowing other types of CA (such as RuleLoader-supported cellular automata) would make things much easier.

Adding the survival condition S6c (i.e., replacing the death rule D6c by the survival rule S6c) makes B-heptomino a predecessor to a p114 orthogonal c/19 spaceship:

Code: Select all

#C [[ GRID THEME MCell TRACKLOOP 114 0/114 6/114 ]]
x = 25, y = 22, rule = B2i3-e4c5n6i/S2-i3-a4i6c7c
14bo3$14bo9$bo$4bo2bo$obobo3bo$4bo10bo$3o2bo9b3o4bo$b2obob3o8b2o3b2o$b
2o14b2o4b2o$3b3obo15bo$3b3o3bo12bo$5bobo!

Adding the birth condition B8 (i.e., replacing the nonbirth/"abstain" rule A8 by the birth rule B8) makes B-heptomino a predecessor to a p232 diagonal 7c/232 puffer, which can be used to build a corderoid spaceship:

Code: Select all

#C [[ GRID THEME MCell TRACKLOOP 232 7/232 7/232 ]]
x = 62, y = 63, rule = B2i3-e4c5n6i8/S2-i3-a4i7c
32bo$31bobo$30bobobo$30bobobo$31bobo$32bo2$39bo$38bobo$37bobobo$37bobo
bo$38bobo$39bo2$26bo2b2o15bo$27b2obo14bobo$26bo2bo14bobobo$27b2o15bobo
bo$45bobo$46bo2$53bo$52bobo$51bobobo$51bobobo$52bobo$53bo11$2b2o$bo2bo
$ob2obo$bo2bo$2b2o3$9b2o$8bo2bo45bo2b2o$7bob2obo45b2obo$8bo2bo45bo2bo$
9b2o47b2o3$16b2o$15bo2bo$14bob2obo$15bo2bo$16b2o3$23b2o$22bo2bo$21bob
2obo$22bo2bo$23b2o!

[CARuler]

anther variation

Code: Select all

x = 30, y = 7, rule = B2i3-e4c5n6i/S2-in3-a4i7c
27bo$27b2o$28b2o$27b2o$bo$3o$obo!
[[ COLOR UIBACKGROUND 0 0 63 ]]
[[ COLOR UIBORDER 0 96 48 ]]
[[ COLOR UILOCKED 63 0 63 ]]
[[ COLOR HELP 192 255 224 ]]
[[ COLOR GRAPHBG 0 63 63 ]]
[[ COLOR UIHIGHLIGHT 255 255 255 ]]
[[ COLOR UISELECT 255 0 255 ]]
[[ COLOR ALIVE 148 0 255 ]]
[[ COLOR ALIVERAMP 0 255 148 ]]
[[ COLOR DEAD 48 0 96 ]]
[[ COLOR DEADRAMP 0 0 64 ]]
[[ COLOR SELECT 255 0 255 ]]
[[ COLOR PASTE 255 0 0 ]]

a puffer

Code: Select all

x = 30, y = 7, rule = B2i3-e4c5en6i/S2-i3-a4i7c
27bo$27b2o$28b2o$27b2o$bo$3o$obo!
[[ COLOR UIBACKGROUND 0 0 63 ]]
[[ COLOR UIBORDER 0 96 48 ]]
[[ COLOR UILOCKED 63 0 63 ]]
[[ COLOR HELP 192 255 224 ]]
[[ COLOR GRAPHBG 0 63 63 ]]
[[ COLOR UIHIGHLIGHT 255 255 255 ]]
[[ COLOR UISELECT 255 0 255 ]]
[[ COLOR ALIVE 148 0 255 ]]
[[ COLOR ALIVERAMP 0 255 148 ]]
[[ COLOR DEAD 48 0 96 ]]
[[ COLOR DEADRAMP 0 0 64 ]]
[[ COLOR SELECT 255 0 255 ]]
[[ COLOR PASTE 255 0 0 ]]

[silversmith]

I badly want an INT rule with an affinity for diagonal lines. These two rules golfed from LuveelVoom's Bubbles IV rule come close, but there's not enough you can do with the diagonal SLs for them to be interesting. Can someone get closer to having SLs that evolve into new SLs when perturbed, ideally creating larger composite shapes?

Are these the kind of dynamics/still lifes you are looking for? If so, I have also wanted a rule with these kinds of diagonal line dynamics.

Code: Select all

x = 76, y = 16, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
60bo4bobo2bo2b3o$60bo2bob5obobo$61b2o3bobo5bo$60bo3bob2o4b2obo$41b2o
18bo4b2o2b3obo$5bo34bo2bo20b2obobobob3o$2bob3o14bo6b3o2b3o3bo2bobo16bo
2bobo3bob2o$b5o14bobo6bo4bo5bobo2bo14bo3bo2b2o3b3o$2bobo14bo3bo17bob3o
15bobobo2bo5b2o$b3o15bobobo5bo4bo8bo16bob3obo2b3o2b2o$3o16b2ob2o10bo7b
obo15bo2b2o2b2o2b4o$bo32b2o5bobo17b3obo3bobo3bo$34b2o6bo17bobobobob3ob
4o$60b2obob3ob4obo$60bobo2b3o2b3obo$60bob2o4b2o2bobo!

edit: p222 gun found using apgsearch:

Code: Select all

x = 46, y = 31, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
16bo12bo$15bobo10bobo$15bo2bo8bo2bo$16b2o10b2o2$b2o$o2bo$bobo$2bo4$25b
o$22bo2bo$21b2o2bo$20b2o2b2o$20bo2b2o$20bo2bo$20bo4$2bo40bo$bobo38bobo
$o2bo38bo2bo$b2o40b2o2$16b2o10b2o$15bo2bo8bo2bo$15bobo10bobo$16bo12bo!

[LuveelVoom]

I badly want an INT rule with an affinity for diagonal lines. These two rules golfed from LuveelVoom's Bubbles IV rule come close, but there's not enough you can do with the diagonal SLs for them to be interesting. Can someone get closer to having SLs that evolve into new SLs when perturbed, ideally creating larger composite shapes?

Are these the kind of dynamics/still lifes you are looking for? If so, I have also wanted a rule with these kinds of diagonal line dynamics.

Code: Select all

x = 76, y = 16, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
60bo4bobo2bo2b3o$60bo2bob5obobo$61b2o3bobo5bo$60bo3bob2o4b2obo$41b2o
18bo4b2o2b3obo$5bo34bo2bo20b2obobobob3o$2bob3o14bo6b3o2b3o3bo2bobo16bo
2bobo3bob2o$b5o14bobo6bo4bo5bobo2bo14bo3bo2b2o3b3o$2bobo14bo3bo17bob3o
15bobobo2bo5b2o$b3o15bobobo5bo4bo8bo16bob3obo2b3o2b2o$3o16b2ob2o10bo7b
obo15bo2b2o2b2o2b4o$bo32b2o5bobo17b3obo3bobo3bo$34b2o6bo17bobobobob3ob
4o$60b2obob3ob4obo$60bobo2b3o2b3obo$60bob2o4b2o2bobo!

Useful catalysis?

Code: Select all

x = 33, y = 23, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
5$7b2o$7b3o5bo$7b2o5bobo$14bobo$15bo!