Rulegolf Request Thread

[HerscheltheHerschel]

This is a thread for rulegolf requests.
To start:
Try to combine Traffic Flow and Pi Puffer Life, keeping the failed pi puffer while still having Traffic Flow-like SLs and/or being relatively dense.

[confocaloid]

This is a thread for rulegolf requests.

Possibly already a thread, or at least overlapping topic: Request a Rule to be "Tamed"

[Sokwe]

Possibly already a thread, or at least overlapping topic: Request a Rule to be "Tamed"

I think this thread is slightly broader than the "taming" thread, so I'm inclined to leave it for now.

[CARuler]

this is unorthodox but can you tame this R2 alternating generations rule while keeping the common rakes?
R2,C10,S2-6,B|R2,C10,S3,B3

[confocaloid]

I made several attempts to find a "well-behaved enough for soup searching" cellular automaton supporting this p661 oscillator (discovered by FWKnightship in b356s23/D8_1_spaceinvaders_stdin):

Code: Select all

x = 63, y = 63, rule = B356/S23
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

This oscillator is endemic to B356/S23 within the space of all two-state isotropic cellular automata with range-1 Moore neighbourhood. Hence I tried to increase the range and use a weighted neighbourhood.
I think this oscillator remains endemic to this CA within several other spaces:

• "range-1 Moore, range-2 cross" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 Moore, range-2 saltire" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 Moore, range-3 cross" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 Moore, range-3 saltire" (2 x 5 x 9 = 90 distinguishable fully-specified conditions)
• "range-1 orthogonal, range-1 diagonal, range-2 cross" (2 x 5 x 5 x 5 = 250 distinguishable fully-specified conditions)
• "range-1 orthogonal, range-1 diagonal, range-2 saltire" (2 x 5 x 5 x 5 = 250 distinguishable fully-specified conditions)
• "range-1 orthogonal, range-1 diagonal, range-3 cross" (2 x 5 x 5 x 5 = 250 distinguishable fully-specified conditions)

Here is a space where the oscillator is no longer endemic. The oscillator exists in eight CA within this space, however, neither of them seems "well-behaved" enough for soup searching:

Code: Select all

#C weighted neighbourhood: NW01000000000001000000000000000000051905000000001900190000000005190500000000000000000001000000000001
#C   01 00 00 00 00 00 01
#C   00 00 00 00 00 00 00
#C   00 00 05 25 05 00 00
#C   00 00 25 00 25 00 00
#C   00 00 05 25 05 00 00
#C   00 00 00 00 00 00 00
#C   01 00 00 00 00 00 01
#C In this space, the current condition of a cell is fully specified
#C by telling the current state of the cell (0 through 1),
#C the number of alive "range-1 orthogonal" neighbours (0 through 4),
#C the number of alive "range-1 diagonal" neighbours (0 through 4),
#C and the number of alive "range-3 saltire" neighbours (0 through 4).
#C That leads to 2 x 5 x 5 x 5 = 250 fully specified conditions, and 2^250 rulesets.
#C
#C This p661 oscillator exists in only 8 = 2^3 cellular automata within this space.
#C The only optional "living conditions" are S19, S104, B119:
#C   S19   The cell is currently alive, it has no alive "range-1 orthogonal" neighbours,
#C         it has precisely three alive "range-1 diagonal" neighbours,
#C         and it has four alive "range-3 saltire" neighbours.
#C   S104  The cell is currently alive, it has four alive "range-1 orthogonal" neighbours,
#C         it has no alive "range-1 diagonal" neighbours,
#C         and it has four alive "range-3 saltire" neighbours.
#C   B119  The cell is currently dead, it has four alive "range-1 orthogonal" neighbours,
#C         it has precisely three alive "range-1 diagonal" neighbours,
#C         and it has four alive "range-3 saltire" neighbours.
x = 63, y = 63, rule = R3,C0,S10-19,30-39,50-59,75-79,B15-19,35-39,45-49,55-59,65-79,85-94,105-114,NW01000000000001000000000000000000051905000000001900190000000005190500000000000000000001000000000001
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!
#C [[ THEME MCell ]]

Can this p661 oscillator be found in some "well-behaved" two-state isotropic CA definable using a weighted neighbourhood, within some higher-range space containing B356/S23?

[CARuler]

I made several attempts to find a "well-behaved enough for soup searching" cellular automaton supporting this p661 oscillator (discovered by FWKnightship in b356s23/D8_1_spaceinvaders_stdin):

Code: Select all

x = 63, y = 63, rule = B356/S23
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

This oscillator is endemic to B356/S23 within the space of all two-state isotropic cellular automata with range-1 Moore neighbourhood. Hence I tried to increase the range and use a weighted neighbourhood.
I think this oscillator remains endemic to this CA within several other spaces:


Can this p661 oscillator be found in some "well-behaved" two-state isotropic CA definable using a weighted neighbourhood, within some higher-range space containing B356/S23?

why don't you use an r2int emulator

[confocaloid]

Please trim the overly long quote. Most of it isn't relevant to your reply. The forum rule 3d says: "Quoting earlier posts is fine (and encouraged), but only quote text that is actually relevant to your post. Do not nest quotes too deeply (e.g., do not quote a quote of a quote of a quote)."

I made several attempts to find a "well-behaved enough for soup searching" cellular automaton supporting this p661 oscillator [...]
[...] Can this p661 oscillator be found in some "well-behaved" two-state isotropic CA definable using a weighted neighbourhood, within some higher-range space containing B356/S23?

[...] (overly long quote) [...]
why don't you use an r2int emulator

Simplicity and readability. A simpler, more lightweight CA definition is more satisfying, compared to a detailed specification needing a separate file. (Ideally, there would be a human-readable definition of the rules.)

For this puzzle, the entire space "all two-state isotropic cellular automata with range-2 Moore neighbourhood" feels way too big.

The weighted neighbourhood notation is simpler (single-line, supported in Golly and LifeViewer), and it allows to explore many different spaces, small and large.

[CARuler]

Simplicity and readability. A simpler, more lightweight CA definition is more satisfying, compared to a detailed specification needing a separate file. (Ideally, there would be a human-readable definition of the rules.)

For this puzzle, the entire space "all two-state isotropic cellular automata with range-2 Moore neighbourhood" feels way too big.

The weighted neighbourhood notation is simpler (single-line, supported in Golly and LifeViewer), and it allows to explore many different spaces, small and large.

supported via ruletable emulation
edit:
i bolded satisfying because that is a matter of perspectives.

EDIT by dvgrn: @CARuler, it's good to cut down quotes to just the part that you're responding to -- but please resist the impulse to make any other adjustments to quoted text. Adding boldface as you did here is a very minor change, but it's still no longer what confocaloid said. If you want to highlight the word "satisfying", then say something about it in your own response. Quote tags are meant for quoting what other people said, not what they almost said.

[confocaloid]

I made several attempts to find a "well-behaved enough for soup searching" cellular automaton supporting this p661 oscillator (discovered by FWKnightship in b356s23/D8_1_spaceinvaders_stdin):

Code: Select all

x = 63, y = 63, rule = B356/S23
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo22$3bo55bo$b2o57b2o$2bo57b
o$2o59b2o$b2o57b2o4$b2o57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo
11bo$26b2obo3bob2o$26bob2o3b2obo$28bo5bo!

[...] I think this oscillator remains endemic to this CA within several other spaces: [...]

Can this p661 oscillator be found in some "well-behaved" two-state isotropic CA definable using a weighted neighbourhood, within some higher-range space containing B356/S23?

Here is another unsuccessful attempt. Even if all optional living conditions are omitted, the soups appear to grow. It might be necessary to go to range 3 or further.

Code: Select all

#C The weighted neighbourhood (range 2):
#C     1   0   5   0   1
#C     0  25 125  25   0
#C     5 125   0 125   5
#C     0  25 125  25   0
#C     1   0   5   0   1
#C
#C For the p661 oscillator, the following living conditions are optional in this space:
#C optional birth conditions (40):
#C   49, 84, 99, 101, 103, 114, 119, 174, 199, 204, 224, 229, 299,
#C   397-398, 424, 454, 474, 478, 499, 503-504, 509, 513, 518-519,
#C   521, 523, 534, 544, 548-549, 584, 594-595, 603, 608, 613-614, 623
#C optional survival conditions (39):
#C   18, 21-23, 44, 49, 71, 84, 89, 99, 103, 114, 119, 123, 148,
#C   224, 229, 248, 273, 384, 394, 404, 414, 454, 478-479, 499,
#C   504, 519, 523-524, 529, 539, 549, 574, 594, 598-599, 624
x = 252, y = 63, rule = R2,C0,S50-70,72-83,85-88,90-98,150-199,250-272,274-299,375-383,385-393,395-399,B75-83,85-98,175-198,225-228,230-249,275-298,325-396,399,425-453,455-473,525-533,535-543,545-547,550-574,NW010005000100197D1900057D007D0500197D19000100050001
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo17$224b5o2b2o3b2ob2o3bobob
4o$220b2obo2b2o2b3o3bob3o3bo2bob2o$220bo3bob4ob4o4b9ob2o$221bo3b2o2bo
3bo3b2o3bob5o$222b2o5bob2o2b2o2bo4bo3b2o$3bo55bo160b2ob4ob2ob6o4bo4bo
2bo$b2o57b2o164bobo3b5obo2b4o2bo2b2o$2bo57bo162bo2bob4ob2ob4o2b3o2b5o$
2o59b2o160bobobo2bob2o2b4ob2o2bob2o$b2o57b2o158bo2bo2b3o2bob6ob2obobo
4bo$220bo3b3obob2ob5o3bo2b2o2bob2o$220bo4bo3bob2ob4ob4o2bobob3o$220b3o
4bo2b2o2b3o4bobo2bob2o$b2o57b2o160bob2o2b2ob2ob4o2b2ob5o$2o59b2o157b2o
2bobo3bobob2o2bobob3obobobo$2bo57bo160bobo2b3o6b2o3b6o$b2o57b2o158bob
3obo3b5ob3o2bob2ob6o$3bo55bo160bobo2bobob2o3b3obo2b2o3bob2o$220bo2b3ob
2obo3b2o3b4obo5b2o$221bo2bob6ob4o3b2o5b3o$221bo2bobo4bo2bobo2bo2bob4ob
2o$220b3o6b2ob2o3bo2bo3b2obobo$220bo3bobo2bobo3bob5o2bo3b2o$224b2o4bo
2bo2b2obo2b4o3b3o$224bo2bobobob5ob5o3bo2bo$220b2o2bobobo2b5o2b2o2b3obo
2bobo$220b3obo2bob2ob2o2b7obob2o2b2o$220b4o7b4o2b4ob3o2bo2bo$221bobobo
2b2o2bo3b2o2bobo5bob2o$221bobo2b2o3bo2bob2o2b2ob3ob5o$224b3o4b3obob2o
3bobo3bobo$221bobobobo5b3o4b2obo2bo3bo8$25bo11bo$26b2obo3bob2o$26bob2o
3b2obo$28bo5bo!

Code: Select all

#C The weighted neighbourhood (range 2):
#C     1   0   5   0   1
#C     0  25 125  25   0
#C     5 125   0 125   5
#C     0  25 125  25   0
#C     1   0   5   0   1
#C The defined CA is the Life-like cellular automaton B356/S23.
x = 252, y = 63, rule = R2,C0,S50-99,150-199,250-299,375-399,B75-99,175-199,225-249,275-299,325-399,425-474,525-574,NW010005000100197D1900057D007D0500197D19000100050001
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo17$224b5o2b2o3b2ob2o3bobob
4o$220b2obo2b2o2b3o3bob3o3bo2bob2o$220bo3bob4ob4o4b9ob2o$221bo3b2o2bo
3bo3b2o3bob5o$222b2o5bob2o2b2o2bo4bo3b2o$3bo55bo160b2ob4ob2ob6o4bo4bo
2bo$b2o57b2o164bobo3b5obo2b4o2bo2b2o$2bo57bo162bo2bob4ob2ob4o2b3o2b5o$
2o59b2o160bobobo2bob2o2b4ob2o2bob2o$b2o57b2o158bo2bo2b3o2bob6ob2obobo
4bo$220bo3b3obob2ob5o3bo2b2o2bob2o$220bo4bo3bob2ob4ob4o2bobob3o$220b3o
4bo2b2o2b3o4bobo2bob2o$b2o57b2o160bob2o2b2ob2ob4o2b2ob5o$2o59b2o157b2o
2bobo3bobob2o2bobob3obobobo$2bo57bo160bobo2b3o6b2o3b6o$b2o57b2o158bob
3obo3b5ob3o2bob2ob6o$3bo55bo160bobo2bobob2o3b3obo2b2o3bob2o$220bo2b3ob
2obo3b2o3b4obo5b2o$221bo2bob6ob4o3b2o5b3o$221bo2bobo4bo2bobo2bo2bob4ob
2o$220b3o6b2ob2o3bo2bo3b2obobo$220bo3bobo2bobo3bob5o2bo3b2o$224b2o4bo
2bo2b2obo2b4o3b3o$224bo2bobobob5ob5o3bo2bo$220b2o2bobobo2b5o2b2o2b3obo
2bobo$220b3obo2bob2ob2o2b7obob2o2b2o$220b4o7b4o2b4ob3o2bo2bo$221bobobo
2b2o2bo3b2o2bobo5bob2o$221bobo2b2o3bo2bob2o2b2ob3ob5o$224b3o4b3obob2o
3bobo3bobo$221bobobobo5b3o4b2obo2bo3bo8$25bo11bo$26b2obo3bob2o$26bob2o
3b2obo$28bo5bo!

edit: another attempt:

Code: Select all

#C The weighted neighbourhood (range 4):
#C   01 01 01 01 01 01 01 01 01
#C   01 01 01 01 01 01 01 01 01
#C   01 01 01 01 01 01 01 01 01
#C   01 01 01 73 73 73 01 01 01
#C   01 01 01 73 00 73 01 01 01
#C   01 01 01 73 73 73 01 01 01
#C   01 01 01 01 01 01 01 01 01
#C   01 01 01 01 01 01 01 01 01
#C   01 01 01 01 01 01 01 01 01
#C For the p661 oscillator, the following living conditions are optional in this space:
#C optional birth conditions (255):
#C   44, 46-47, 49, 52-53, 55-72, 119-120, 122, 124, 126-145, 191-192,
#C   194, 196-218, 264, 269-292, 338-340, 342-364, 408, 411-413, 415-439,
#C   480, 483, 486, 488-512, 551-552, 554-586, 588, 617-618, 622-656
#C optional survival conditions (262):
#C   0, 37-40, 43-44, 46-72, 115-116, 118-119, 121-145, 191-218,
#C   263-267, 269-291, 339-364, 410-412, 414-437, 480, 482, 484,
#C   486-512, 555, 557-584, 588, 621, 627-628, 630-656
x = 186, y = 63, rule = R4,C0,S146-190,219-262,268,B219-263,265-268,365-407,409-410,414,440-479,481-482,484-485,487,NW010101010101010101010101010101010101010101010101010101010101494949010101010101490049010101010101494949010101010101010101010101010101010101010101010101010101010101
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo7$170b3ob3o2b7o$171b2obo2b
3ob5o$174bo8b2o$171b2o2b4o2b4o$172bob7o2bobo$170bo2bo3bob3obobo$171b2o
bo2b2o2b2obo$171b2o3b2ob7o$172b3obobo4bo$174b5ob2obobo$171b2ob3obob2ob
obo$170b2ob4obo4bobo$170b2o5bo2bo2b2o$170bob2obo2b3obo2bo$171bobobobo
2bobobo$3bo55bo110bobo3bobo4b2o$b2o57b2o$2bo57bo$2o59b2o$b2o57b2o4$b2o
57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo11bo$26b2obo3bob2o$26bob
2o3b2obo$28bo5bo!

edit 2: more attempts:

Code: Select all

x = 186, y = 63, rule = R3,C0,S50-66,75-92,150-167,175-195,250-266,275-292,375-393,B75-91,93,175-197,225-242,244,275-294,325-342,344,350-365,369,375-390,392,395,425-442,450-467,525-540,550-570,NW01010101010101010000000000010100197D19000101007D007D00010100197D1900010100000000000101010101010101
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo7$170b3ob3o2b7o$171b2obo2b
3ob5o$174bo8b2o$171b2o2b4o2b4o$172bob7o2bobo$170bo2bo3bob3obobo$171b2o
bo2b2o2b2obo$171b2o3b2ob7o$172b3obobo4bo$174b5ob2obobo$171b2ob3obob2ob
obo$170b2ob4obo4bobo$170b2o5bo2bo2b2o$170bob2obo2b3obo2bo$171bobobobo
2bobobo$3bo55bo110bobo3bobo4b2o$b2o57b2o$2bo57bo$2o59b2o$b2o57b2o4$b2o
57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo11bo$26b2obo3bob2o$26bob
2o3b2obo$28bo5bo!

Code: Select all

x = 186, y = 63, rule = R5,C0,S227-287,339-400,407,B340-399,401-404,406-407,412,414,565-624,626-627,630,635,680-735,737-738,740,744,NW01010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010171717101010101010101017100710101010101010101717171010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101
28bo5bo$26bob2o3b2obo$26b2obo3bob2o$25bo11bo7$170b3ob3o2b7o$171b2obo2b
3ob5o$174bo8b2o$171b2o2b4o2b4o$172bob7o2bobo$170bo2bo3bob3obobo$171b2o
bo2b2o2b2obo$171b2o3b2ob7o$172b3obobo4bo$174b5ob2obobo$171b2ob3obob2ob
obo$170b2ob4obo4bobo$170b2o5bo2bo2b2o$170bob2obo2b3obo2bo$171bobobobo
2bobobo$3bo55bo110bobo3bobo4b2o$b2o57b2o$2bo57bo$2o59b2o$b2o57b2o4$b2o
57b2o$2o59b2o$2bo57bo$b2o57b2o$3bo55bo22$25bo11bo$26b2obo3bob2o$26bob
2o3b2obo$28bo5bo!

[CARuler]

For this puzzle, the entire space "all two-state isotropic cellular automata with range-2 Moore neighbourhood" feels way too big.

the bigger the rulespace, the more possibilities

[confocaloid]

the bigger the rulespace, the more possibilities

I'm not really looking for "more possibilities" at the expense of everything else. There are too many possible fully-detailed ways to specify a two-state isotropic cellular automaton with range-2 Moore neighbourhood. And the majority of those cellular automata doesn't have any concise, human-readable, intuitively understandable description at all. As I already wrote, I think the full space is way too big to be interesting.

Contrast with (for example) Life-like CA, where every single cellular automaton (out of 2^18 = 262144 possibilities) admits a reasonably short, human-readable, intuitively understandable description. Just write

"the neighbours of a cell are the four orthogonally adjacent cells and the four diagonally adjacent cells; a cell is born in the next generation if it is currently dead and has precisely <birth-conditions-list> alive neighbours; a cell survives in the next generation if it is currently alive and has precisely <survival-conditions-list> alive neighbours."

For example, HighLife can be defined in a human-readable way as follows:

"the neighbours of a cell are the four orthogonally adjacent cells and the four diagonally adjacent cells; a cell is born in the next generation if it is currently dead and has precisely 3 or 6 alive neighbours; a cell survives in the next generation if it is currently alive and has precisely 2 or 3 alive neighbours."

The bottom line here is that cellular automata with simpler definitions are preferable.

In addition to simpler definitions for many interesting range-2 cellular automata, weighted neighbourhoods allow to define many interesting CA with a range 3 (or higher) neighbourhood. That obviously goes beyond what a "range-2 emulator" could possibly do (even if emulation worked correctly and conveniently enough for range 2 cellular automata to begin with).

Simplicity and readability. A simpler, more lightweight CA definition is more satisfying, compared to a detailed specification needing a separate file. (Ideally, there would be a human-readable definition of the rules.)

For this puzzle, the entire space "all two-state isotropic cellular automata with range-2 Moore neighbourhood" feels way too big.

The weighted neighbourhood notation is simpler (single-line, supported in Golly and LifeViewer), and it allows to explore many different spaces, small and large.

the bigger the rulespace, the more possibilities

[unname4798]

Range-1 2-state Moore semi-totalistic (with 2^50 rules) is also human-readable.

[confocaloid]

No, "semitotalistic" usually means the exact same thing as "outer-totalistic". So "range-1 2-state Moore semitotalistic" is just the space of 2^18 Life-like cellular automata.

Range-1 2-state Moore semi-totalistic (with 2^50 rules) is also human-readable.

Since you mentioned the number 2^50 instead, my guess is that you actually meant something different. Possibly you meant the space which can be defined by the following weighted neighbourhood:

Code: Select all

1 5 1
5 0 5
1 5 1

For more details, see "CWCFSMNCA" in https://web.archive.org/web/20150422212 ... words.html

[unname4798]

...
For more details, see "CWCFSMNCA" in https://web.archive.org/web/20150422212 ... words.html

No, I can't read the above article, because my internet service provider blocked The Internet Archive.

[confocaloid]

[...] In addition to simpler definitions for many interesting range-2 cellular automata, weighted neighbourhoods allow to define many interesting CA with a range 3 (or higher) neighbourhood. [...]

[...] 2^50 [...]

If I understand the idea correctly, then these are also a subset of what can be naturally defined using a weighted neighbourhood. For example, here is Conway's Life:

Code: Select all

x = 3, y = 3, rule = R1,C0,S2-3,6-7,10-11,15,B3,7,11,15,NW151505151
bo$b2o$2o!
#C [[ GRID THEME MCell ]]

And here is B3/S234c:

Code: Select all

x = 40, y = 40, rule = R1,C0,S2-4,6-7,10-11,15,B3,7,11,15,NW151505151
22bo$22bo$23bo8$20bo$19b3o$22bo$17bobo2b2o$16b2obo2b3o$14bob2obo3bo$2b
o10b13o$2o10b3ob2o3b6o$11bo4b2o5bo$10b2o4bo6b4obo$11bob4o6bo4b2o$16bo
5b2o4bo$13b6o3b2ob3o10b2o$14b13o10bo$16bo3bob2obo$15b3o2bob2o$16b2o2bo
bo$17bo$18b3o$19bo8$16bo$17bo$17bo!
#C [[ GRID THEME MCell ]]

[confocaloid]

Testing version of a two-state self-complementary isotropic cellular automaton. It features a stable splitter for the box, a stable reflector for the glider, a two-box synthesis for the glider, a p24 glider loop oscillator, a p19 box gun, and currently not much else. Can anyone make it more interesting?

Code: Select all

#C SCNSBwM_v0
#C This is a two-state isotropic CA where every cell has 32 neighbours, with the following weights:
#C 7D -- -- 01 -- -- 7D
#C -- 7D 7D 7D 7D 7D --
#C -- 7D 05 19 05 7D --
#C 01 7D 19 -- 19 7D 01
#C -- 7D 05 19 05 7D --
#C -- 7D 7D 7D 7D 7D --
#C 7D -- -- 01 -- -- 7D
#C
#C [[ GRID THEME MCell ]]
x = 180, y = 120, rule = R3,C0,S0-59,61-84,86-124,126-204,206-209,211-214,216-250,252-274,276-300,302-329,331-334,336-374,376-379,381-384,387-399,402-459,461-499,502-504,506-509,511-524,526,528-554,557-634,637-649,651-679,682-704,706-710,712-759,761-810,812-834,836-875,877-959,961-964,966-991,993-1055,1057-1061,1064-1151,1153-1179,1181-1210,1212-1446,1448-1487,1489-1641,1643-1697,1699-1817,1819-1822,1824-1862,1865-1887,1890-1942,1944-1948,1950-1951,1953-2072,2075-2112,2114-2137,2139-2193,2195-2236,2239-2317,2320-2322,2324-2338,2340-2363,2365-2388,2390-2462,2465-2512,2515-2624,B110-111,160-161,235,260,285,301,305-306,386-387,430,486,511,550-551,672,675,681,735-736,760-761,801,806,926,982,1136,1177,1413,1444,1472,1561-1562,1568,1632,1659,1664,1748,1789,1813,1864,1913,1919,1943-1944,1974,1988-1989,2068-2069,2097,2099,2114,2119,2123-2124,2164,2223-2224,2238-2239,2244,2249,2289,2294,2323,2349,2373,2409,2414,2419,2499,2539,2564,NW7D00000100007D007D7D7D7D7D00007D0519057D00017D1900197D01007D0519057D00007D7D7D7D7D007D00000100007D:T180,120
90b90o$90b90o$90b90o$90b90o$90b90o$62b3o25b25o3b62o$62bobo25b25obob62o
$63bo26b26ob63o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b
90o$43b2o45b45o2b43o$43b2o45b45o2b43o$90b90o$70b3o17b17o3b70o$37bo33b
2o17b17o2b33ob37o$36bo33b3o17b17o3b33ob36o$36b3o51b51o3b36o$90b90o$90b
90o$43b2o45b45o2b43o$31bo10b2o46b46o2b10ob31o$30bo13bo45b45ob13ob30o$
30b3o57b57o3b30o$90b90o$90b90o$49b2o39b39o2b49o$16b2o7bo22b2o40b40o2b
22ob7o2b16o$16b2o6bo25bo39b39ob25ob6o2b16o$24b3o63b63o3b24o$90b90o$90b
90o$55b2o33b33o2b55o$31b2o10b2o9b2o34b34o2b9o2b10o2b31o$21bobo7b2o10b
2o11bo33b33ob11o2b10o2b7obob21o$22b2o66b66o2b22o$22bo67b67ob22o$90b90o
$59b2o29b29o2b59o$34b2o10b3o9bobo29b29obob9o3b10o2b34o$27bobo3bobo4bo
7bo11bo29b29ob11ob7ob4obob3obob27o$28b2o5bo5b2o4bo4bobo35b35obob4ob4o
2b5ob5o2b28o$28bo11b2o11b2o35b35o2b11o2b11ob28o$53bo10b2o24b24o2b10ob
53o$64b2o24b24o2b64o$90b90o$90b90o$25b2o10b2o10b2o39b39o2b10o2b10o2b
25o$25b2o10b2o10b2o39b39o2b10o2b10o2b25o$90b90o$90b90o$90b90o$90b90o$
90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$27b3o60b60o3b27o$27bo
bo60b60obob27o$27b3o60b60o3b27o$90b90o$32bo57b57ob32o$30b3o57b57o3b30o
$30b3o43b3o11b11o3b43o3b30o$51b3o22bobo11b11obob22o3b51o$51bobo22b3o
11b11o3b22obob51o$28b3o6b2o7b3o2b3o2b3o31b31o3b2o3b2o3b7o2b6o3b28o$28b
obo5bobo8b2o7b2o32b32o2b7o2b8obob5obob28o$28b3o6b2o7b3o7b3o31b31o3b7o
3b7o2b6o3b28o$90b90o$90b90o$30b3o57b57o3b30o$30b3o19bo37b37ob19o3b30o$
30bobo18bobo36b36obob18obob30o$51b3o36b36o3b51o$90b90o$90b90o$90b90o$
90b90o$90b90o$90b90o$30b3o57b57o3b30o$30bobo18bobo36b36obob18obob30o$
31bo19b3o36b36o3b19ob31o$51b3o36b36o3b51o$90b90o$90b90o$25b3o7b3o7b2o
6b3o34b34o3b6o2b7o3b7o3b25o$26b2o7b2o8bobo5bobo34b34obob5obob8o2b7o2b
26o$26b2o2b3o2b3o7b2o6b3o34b34o3b6o2b7o3b2o3b2o2b26o$21b3o6bobo57b57ob
ob6o3b21o$21bobo6b3o57b57o3b6obob21o$21b3o27b3o16b20o20b16o3b27o3b21o$
51b3o16b20o20b16o3b51o$51bo18b20o20b18ob51o$70b20o20b70o$54b3o13b20o
20b13o3b54o$54bobo13b20o20b13obob54o$54b3o13b20o20b13o3b54o$70b20o20b
70o$70b20o20b70o$70b20o20b70o$70b20o20b70o$70b20o20b70o$70b20o20b70o$
7o63b20o20b63o$7o63b20o20b63o$7o63b20o20b63o$7o63b20o20b63o$7o63b20o
20b63o$7o63b20o20b63o$7o63b20o20b63o!

New rule: StopBoxINT(B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8)

Congratulations for mimicking my powers in two states. [...]

New rule: StopboxINT(B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8) [...]

[...] Stopbox (or CataProp 4): The only CataProp-like rule that has its own name independent from the naming convention. [...]

[hotcrystal0]

Please golf this custom rule so that the puffer (left) becomes a spaceship while keeping these 6 spaceships (right) intact:

Code: Select all

x = 29, y = 21, rule = unnamed
16.A7.A2.A$16.2A10.A$15.A.A6.A3.A$25.4A3$.3A10.3A$.A2.A9.A10.A$A2.2A9.
A.A6.A3.A$2A13.2A11.A$23.A4.A$24.5A3$13.2A$13.ACA8.2A$13.A2CA5.A4.A$14.
A.A11.A$13.A2CA5.A5.A$13.ACA7.6A$13.2A!

@RULE unnamed


@TABLE


n_states:5
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1,2,3,4}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var b = {1,2}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b
var c = {0,3}
var c1 = c
var c2 = c
var c3 = c
var c4 = c
var c5 = c
var d = {0,3,4}
var d1 = d
var d2 = d
var d3 = d
var d4 = d

# Birth
# 0,1,1,c,c1,1,c2,1,c3,0

c5,b,b1,b2,d,d1,d2,d3,d4,1
c5,b,b1,c,b2,c1,c2,c3,c4,1
c5,b,b1,c,c1,b2,c2,c3,c4,1
c5,b,b1,c,c1,c2,b2,c3,c4,1
c5,b,b1,d,d1,d2,d3,b2,d4,1
c5,b,b1,c,c1,c2,c3,c4,b2,1
c5,b,c,b1,c1,b2,c2,c3,c4,2
c5,b,c,b1,c1,c2,b2,c3,c4,1
c5,b,c,c1,b1,c2,b2,c3,c4,1
c5,c,b,c1,b1,c2,b2,c3,c4,1
c5,b,1,c,c1,b2,c2,b3,c3,1
c5,b,b1,2,b2,b3,c,c1,c2,1
3,b,b1,b2,b3,c,c1,b4,c2,1
c5,1,2,1,1,c,c1,c2,1,1
c5,b,b1,b2,b3,c,c1,c2,b4,3
c5,b,b1,b2,c,b3,c1,b4,c2,1
c5,b,b1,c,b2,c1,b3,b4,c2,2
3,1,1,0,1,0,1,0,1,1
0,1,1,1,0,1,0,0,0,3
3,0,1,0,3,0,1,0,0,1
0,2,1,2,1,2,1,2,1,4
3,1,1,0,4,0,1,1,0,2
0,4,0,2,1,1,1,2,0,1


# Survival
1,3,3,1,1,0,0,0,0,0

b,b,b1,c,c1,c2,c3,c4,c5,1
b,b,c,b1,c1,c2,c3,c4,c5,1
b3,b,c,c1,b1,c2,c3,c4,c5,1
b3,b,c,c1,c2,b1,c3,c4,c5,1
b3,c,b,c1,b1,c2,c3,c4,c5,1
b3,c,b,c1,c2,c3,b1,c4,c5,1
b3,b,b1,b2,c,c1,c2,c3,c4,1
b3,b,b1,c,b2,c1,c2,c3,c4,1
b3,b,b1,c,c1,b2,c2,c3,c4,b3
b3,b,b1,c,c1,c2,b2,c3,c4,1
b3,b,b1,c,c1,c2,c3,b2,c4,1
b3,b,b1,c,c1,c2,c3,c4,b2,1
b3,b,c,b1,c1,b2,c2,c3,c4,1
b3,b,c,b1,c1,c2,b2,c3,c4,1
b3,b,c,c1,b1,c2,b2,c3,c4,1
b3,c,b,c1,b1,c2,b2,c3,c4,1

b,b1,b2,0,0,0,b3,b4,0,3
b,b1,b2,b3,b4,b5,b6,c,c1,3
2,1,1,1,1,1,1,1,0,2
b,1,1,0,1,0,0,0,1,3

4,0,c,0,c1,0,c2,0,c3,4
# 4,0,2,0,2,0,2,0,2,4

# Death
b,a,a1,a2,a3,a4,a5,a6,a7,0
3,a,a1,a2,a3,a4,a5,a6,a7,0
4,a,a1,a2,a3,a4,a5,a6,a7,0


@COLORS

0 0 0 0
1 255 0 0
2 255 128 0
3 50 0 0
4 0 255 0

@ICONS

circles

[R2INT]

Testing version of a two-state self-complementary isotropic cellular automaton. It features a stable splitter for the box, a stable reflector for the glider, a two-box synthesis for the glider, a p24 glider loop oscillator, a p19 box gun, and currently not much else. Can anyone make it more interesting?

Code: Select all

Adding a c/3 (EDIT: and a 2G synth of the box):

Code: Select all

#C SCNSBwM_v1
#C This is a two-state isotropic CA where every cell has 32 neighbours, with the following weights:
#C 7D -- -- 01 -- -- 7D
#C -- 7D 7D 7D 7D 7D --
#C -- 7D 05 19 05 7D --
#C 01 7D 19 -- 19 7D 01
#C -- 7D 05 19 05 7D --
#C -- 7D 7D 7D 7D 7D --
#C 7D -- -- 01 -- -- 7D
#C S-131, B+2493
#C SCNSBwM_v1
#C This is a two-state isotropic CA where every cell has 32 neighbours, with the following weights:
#C 7D -- -- 01 -- -- 7D
#C -- 7D 7D 7D 7D 7D --
#C -- 7D 05 19 05 7D --
#C 01 7D 19 -- 19 7D 01
#C -- 7D 05 19 05 7D --
#C -- 7D 7D 7D 7D 7D --
#C 7D -- -- 01 -- -- 7D
#C 01 = 1; 05 = 5; 19 = 25, 7D = 125
#C S-131, B+2493
#C S-190, B+2434
#C S-376, B+2248
#C S-176, B+2448
x = 180, y = 229, rule = R3,C2,S2-4,6-24,26-59,61-84,86-124,126-130,132-175,177-189,191-204,206-209,211-214,216-250,252-274,276-300,302-329,331-334,336-374,377-379,381-384,387-399,402-459,461-499,502-504,506-509,511-524,526,528-554,557-634,637-649,651-679,682-704,706-710,712-759,761-810,812-834,836-875,877-959,961-964,966-991,993-1055,1057-1061,1064-1151,1153-1179,1181-1210,1212-1446,1448-1487,1489-1641,1643-1697,1699-1817,1819-1822,1824-1862,1865-1887,1890-1942,1944-1948,1950-1951,1953-2072,2075-2112,2114-2137,2139-2193,2195-2236,2239-2317,2320-2322,2324-2338,2340-2363,2365-2388,2390-2462,2465-2512,2515-2624,B110-111,160-161,235,260,285,301,305-306,386-387,430,486,511,550-551,672,675,681,735-736,760-761,801,806,926,982,1136,1177,1413,1444,1472,1561-1562,1568,1632,1659,1664,1748,1789,1813,1864,1913,1919,1943-1944,1974,1988-1989,2068-2069,2097,2099,2114,2119,2123-2124,2164,2223-2224,2238-2239,2244,2248-2249,2289,2294,2323,2349,2373,2409,2414,2419,2434,2448,2493,2499,2539,2564,2599,2619,2623-2624,NW7d00000100007d007d7d7d7d7d00007d0519057d00017d1900197d01007d0519057d00007d7d7d7d7d007d00000100007d
90b90o$90b90o$90b90o$90b90o$90b90o$62b3o25b25o3b62o$62bobo25b25obob62o
$63bo26b26ob63o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o
$43b2o45b45o2b43o$43b2o45b45o2b43o$90b90o$70b3o17b17o3b70o$37bo33b2o17b
17o2b33ob37o$36bo33b3o17b17o3b33ob36o$36b3o51b51o3b36o$90b90o$90b90o$
43b2o45b45o2b43o$31bo10b2o46b46o2b10ob31o$30bo13bo45b45ob13ob30o$30b3o
57b57o3b30o$90b90o$90b90o$49b2o39b39o2b49o$16b2o7bo22b2o40b40o2b22ob7o
2b16o$16b2o6bo25bo39b39ob25ob6o2b16o$24b3o63b63o3b24o$90b90o$90b90o$55b
2o33b33o2b55o$31b2o10b2o9b2o34b34o2b9o2b10o2b31o$21bobo7b2o10b2o11bo33b
33ob11o2b10o2b7obob21o$22b2o66b66o2b22o$22bo67b67ob22o$90b90o$59b2o29b
29o2b59o$34b2o10b3o9bobo29b29obob9o3b10o2b34o$27bobo3bobo4bo7bo11bo29b
29ob11ob7ob4obob3obob27o$28b2o5bo5b2o4bo4bobo35b35obob4ob4o2b5ob5o2b28o
$28bo11b2o11b2o35b35o2b11o2b11ob28o$53bo10b2o24b24o2b10ob53o$64b2o24b
24o2b64o$90b90o$90b90o$25b2o10b2o10b2o39b39o2b10o2b10o2b25o$25b2o10b2o
10b2o39b39o2b10o2b10o2b25o$90b90o$90b90o$90b90o$90b90o$90b90o$4bo85b85o
b4o$4b2o84b84o2b4o$3bobo84b84obob3o$4bo85b85ob4o$90b90o$90b90o$27b3o60b
60o3b27o$27bobo60b60obob27o$27b3o60b60o3b27o$90b90o$32bo57b57ob32o$30b
3o57b57o3b30o$30b3o43b3o11b11o3b43o3b30o$51b3o22bobo11b11obob22o3b51o
$51bobo22b3o11b11o3b22obob51o$28b3o6b2o7b3o2b3o2b3o31b31o3b2o3b2o3b7o
2b6o3b28o$28bobo5bobo8b2o7b2o32b32o2b7o2b8obob5obob28o$28b3o6b2o7b3o7b
3o31b31o3b7o3b7o2b6o3b28o$90b90o$90b90o$30b3o57b57o3b30o$30b3o19bo37b
37ob19o3b30o$30bobo18bobo36b36obob18obob30o$51b3o36b36o3b51o$90b90o$90b
90o$90b90o$90b90o$90b90o$90b90o$30b3o57b57o3b30o$30bobo18bobo36b36obo
b18obob30o$31bo19b3o36b36o3b19ob31o$51b3o36b36o3b51o$90b90o$90b90o$25b
3o7b3o7b2o6b3o34b34o3b6o2b7o3b7o3b25o$26b2o7b2o8bobo5bobo34b34obob5ob
ob8o2b7o2b26o$26b2o2b3o2b3o7b2o6b3o34b34o3b6o2b7o3b2o3b2o2b26o$21b3o6b
obo57b57obob6o3b21o$21bobo6b3o57b57o3b6obob21o$21b3o27b3o16b20o20b16o
3b27o3b21o$51b3o16b20o20b16o3b51o$51bo18b20o20b18ob51o$70b20o20b70o$54b
3o13b20o20b13o3b54o$54bobo13b20o20b13obob54o$54b3o13b20o20b13o3b54o$70b
20o20b70o$70b20o20b70o$70b20o20b70o$70b20o20b70o$70b20o20b70o$70b20o20b
70o$7o63b20o20b63o$7o63b20o20b63o$7o63b20o20b63o$7o63b20o20b63o$7o63b
20o20b63o$7o63b20o20b63o$7o63b20o20b63o$90b90o$90b90o$90b90o$90b90o$90b
90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b
90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b
90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b
90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b
90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$33b2o55b40o2b48o$34b2o54b
41o2b47o$33bo56b40ob49o$90b90o$90b90o$41b2o47b48o2b40o$40b2o48b47o2b41o
$42bo47b49ob40o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o
$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o
$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o
$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o
$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o$90b90o
$90b90o$90b90o!

[PiSpaceships]

Please rulegolf a rule that is interesting and has this spaceship:

Code: Select all

x = 3, y = 2, rule = 1e2i3i/3ai/4
3A$3B!

[confocaloid]

Please rulegolf a rule that is interesting and has this spaceship:

Code: Select all

x = 3, y = 2, rule = 1e2i3i/3ai/4
3A$3B!

Depends on what would count as interesting, but here is one possibility:

Code: Select all

x = 16, y = 16, rule = 1e2i3-e4-a5678/3ai45678/4
2bobo3b4o$o2b2ob2o2bo4bo$4obo3bo2bob2o$3bob3o2bo4bo$2b2o2b2o2bob2o$3bo
bo2b3o$obob3o2bobo3bo$o8bo3b3o$obobobobobobo2bo$b2o2bobo3bo$5o3bo3bo2b
o$o5bobo$b2o3b4ob5o$2bo3b4ob2ob2o$obob2o4bob4o$b2o2bob2ob2o!

[PiSpaceships]

Please rulegolf a rule that is interesting and has this spaceship:

Code: Select all

x = 3, y = 2, rule = 1e2i3i/3ai/4
3A$3B!

Depends on what would count as interesting, but here is one possibility:

Code: Select all

rle

I think it's quite good rule.
Clarification of what rule I want:
-Stable splitter and eater for the spaceship,
-A lot of interesting objects,
-Not explosive if it's possible.

[islptng]

Clarification of what rule I want:
-Stable splitter and eater for the spaceship,
-A lot of interesting objects,
-Not explosive if it's possible.

Here's my attempt to do so:

Code: Select all

#C Capped splitter, Rt 15
x = 19, y = 16, rule = 1e2-a3-eq4aceir5y8/3-jq4aei/4
9.A$2A7.A7.2A4$2A15.2A2$9.A$8.3A7$8.3A$8.3B!

Code: Select all

#R 1e2-a3-eq4aceir5y8/3-jq4aei/4
! [[ RANDOMIZE2 ]]

[PiSpaceships]

A rule that must contain:
1. All spaceships listed in RLE-s below:

Code: Select all

x = 66, y = 9, rule = B2e3-ekr/S1c2-a3-n
$40bo3bo4bo3bo4bo3bo$3o2b3o31bobobobo2bobobobo2bobobobo$o4bo4b3o2b4o3b
3o3b3o3b3o4bobo8bo6bobo$obo2bobo2bobo2bob2o3bobo3bobo3bobo4bobo8bo6bo
bo$7bo13bo3bo7bobo5bobo7bo7bo$29bo21bo$29bo23bo7bo!

Code: Select all

x = 1, y = 1, rule = B1e2eik3ejkry4ejkr5cn6c/S3ckny4cknqy5cejk6e8
bob$obo$3o!

Code: Select all

x = 1, y = 1, rule = B2e3air4ijwz/S12-in3k4r5i
2o$2bo!

2. Glider, LWSS, MWSS, HWSS, Sir Robin and Copperhead from Life;
3. This gun:

Code: Select all

x = 1, y = 1, rule = B1e2eik3ejkry4ejkr5cn6c/S3ckny4cknqy5cejk6e8
o!

4. This still life:

Code: Select all

x = 14, y = 21, rule = B/S012345678
2b8o$bo8bo$o10bo$o6b6o$o5bo6bo$o5bo6bo$o5bo6bo$o6b6o$o10bo$o10bo$o10b
o$o10bo$o4b2o4bo$o3bo2bo3bo$o3bo2bo3bo$o3bo2bo3bo$o3bo2bo3bo$o3bo2bo3b
o$o3bo2bo3bo$o3bo2bo3bo$b3o4b3o!

EDIT: 5. Gosper's Glider Gun from Life.

It must be 2-state if it's did by concofaloid or range-1 if it's did by FWKnightship. And it mustn't be explosive.

EDIT2: I just realised it's impossible, so I decided that 6th B2e3-ekr/S1c2-a3-n spaceship is optional.

[confocaloid]

Some observations:

(1) Currently, your post contains at least two references to specific forum users, and at least one of them is misspelled.

While I cannot speak for everyone else, I think the format "challenge to the local community" would work substantially better than your format "challenge to a specific user or to specific users". There is no good reason to require that a specific puzzle be solved by a specific forum member.

(2) There should be some explanation of what can or should be done about objects or combinations of objects that cannot be put into a single cellular automaton of the requested type.
Your current challenge is impossible to solve using two-state cellular automata definable using fully-symmetric weighted neighbourhoods. In particular, the p6 knightship cannot exist in any cellular automaton of that type, because it becomes "self-contradictory": out of two marked alive cells below (in two different phases of the knightship), one must survive in the next generation and the other must die in the next generation, but the rules cannot prescribe that, because both cells are in the same condition as far as can be specified with fully-symmetric weighted neighbourhoods.
In both cases, the "maximally detailed" condition of the marked cell is:

The cell is currently alive,
and it has precisely three alive range-1 orthogonal neighbours,
and it has precisely two alive range-1 diagonal neighbours,
and it has precisely one alive "knight's move" neighbour,
and it doesn't have any other alive neighbours apart from that.

Code: Select all

x = 11, y = 5, rule = B2e3air4ijwz/S12-in3k4r5iHistory
8.A$8.2A$ACA6.CA$3A6.2A$2.A!
#C [[ GRID ]]

[PiSpaceships]

Some observations:

(1) Currently, your post contains at least two references to specific forum users, and at least one of them is misspelled.

While I cannot speak for everyone else, I think the format "challenge to the local community" would work substantially better than your format "challenge to a specific user or to specific users". There is no good reason to require that a specific puzzle be solved by a specific forum member.

(2) There should be some explanation of what can or should be done about objects or combinations of objects that cannot be put into a single cellular automaton of the requested type.
Your current challenge is impossible to solve using two-state cellular automata definable using fully-symmetric weighted neighbourhoods. In particular, the p6 knightship cannot exist in any cellular automaton of that type, because it becomes "self-contradictory": out of two marked alive cells below (in two different phases of the knightship), one must survive in the next generation and the other must die in the next generation, but the rules cannot prescribe that, because both cells are in the same condition as far as can be specified with fully-symmetric weighted neighbourhoods.
...

1) Ok, so not it's for everyone.

2) Then it can be made without the knightship.