Challenges

[77topaz]

Here's a superunity reaction with 2 fivebitters:

Code: Select all

x = 4, y = 11, rule = B2en3-eknq/S234q
2o$2bo$2o6$2bo$bobo$bobo!

EDIT: I should also mention this rule has a lot of them:

Code: Select all

x = 16, y = 16, rule = B2en3-eknq/S234q
obobob4ob2ob2o$ob7o3b4o$4b5o$2bo2b2ob3o4bo$bo6bo3b2o$ob2ob2o4bo2bo$2b
2o11bo$3o5b2ob2o2bo$o2b4obobo2b2o$bo3b5obobo$bobo2bo2bob4o$2bo3b4o4b2o
$bob2o2b2o5bo$o2b2obo3b2obo$2b2obo2b4o2bo$o2b2o!

A natural growing spaceship:

Code: Select all

x = 19, y = 7, rule = B2en3-eknq/S234q
2b2o$bo3bobo9b2o$2b6obobobobob2o$8bobobobob2o$b6o$o3bobo$b2o!

Natural clean rakes:

Code: Select all

x = 8, y = 7, rule = B2en3-eknq/S234q
b2o$bo4b2o$b4ob2o$4bo$2o$o$2o!

Code: Select all

x = 8, y = 8, rule = B2en3-eknq/S234q
5b2o$2b2o3bo$2bobobo$4bobo$4o$2ob4o$4bo2bo$5b2o!

Code: Select all

x = 14, y = 23, rule = B2en3-eknq/S234q
8b3o$4b3obobo$4bobobo$8bo$8b2o$10bo$8b2o2$7b2o$8bo3$2bo$bobo$2ob2o$2ob
2o$bobo$2bo2$5b2o$5b2o$12b2o$12b2o!

And an exceptionally dirty one:

Code: Select all

x = 16, y = 16, rule = B2en3-eknq/S234q
2b6ob4obo$bobo2bo3bobo2bo$3b7obo3bo$bo3b4o2b3o$o3b2o4bobo$o2bobobo2bob
ob2o$bobo2b2obobob2o$bo2bo5bobob2o$obob3o3bo$o5b2obo5bo$2bo2b3ob2o3b2o
$2o4b2o2bob2o$bob2o6bo2bo$2bob2obo4bobo$5o3b3obob2o$ob2o2b4o2bo2bo!

[Hdjensofjfnen]

Well, that's great. My rule has been overrun by a bunch of ungrateful apgsearchers...
No, just kidding.

EDIT: c/5o and 2c/8d on Catagolue:

Code: Select all

x = 15, y = 6, rule = B2en3-eknq/S234q
o9b3o$3o7b2o2bo$2o11b2o$12bo$bobo8b2o$3bo!

[dani]

Challenge: Find a rule with two, distinct slope knightships (they can be extensible but you must have another type to get up to 2) WITHOUT using external software. Those who complete this task will be listed here:

- danny
- possibly 2718281828 and AforAmpere? I don't know if search tools were used.

[AforAmpere]

- possibly 2718281828 and AforAmpere? I don't know if search tools were used.

Sadly I do not count, as I used LLS to find the push reaction for the adjustable slopes and other knightships. I believe 2718281828 did the same, but I am not 100% sure. Does any size ship count?

[dani]

Does any size ship count?

Yeah, it's just a fun rule-golfing excercise. Here's a good starting point for anybody interested (knightship found by AbhpzTa in his 'scenery' rule):

Code: Select all

x = 4, y = 9, rule = B3-cnry5i/S23-a4aiwy5y8
2o$b2o$bo4$2b2o$o2bo$2b2o!

[Hunting]

1. Synthesis this

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x = 10, y = 10, rule = B3/S23
2obobo2b2o$2ob2obo2bo$6b3o$2ob2o$bobob3obo$o2bo2bob2o$3obo$4b2o$2obo2b
obo$2ob2o2b2o!

2. Find a B2c rule with [wrong]spaceship[/wrong] natural-occuring spaceship without s2e

[77topaz]

There are plenty of B2c rules with spaceships; in fact, Snowflakes, easily the most engineering-rich isotropic non-totalistic rule, is one of them:

Code: Select all

x = 2, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$o$2o!

[Hunting]

There are plenty of B2c rules with spaceships; in fact, Snowflakes, easily the most engineering-rich isotropic non-totalistic rule, is one of them:

Code: Select all

x = 2, y = 3, rule = B2ci3ai4c8/S02ae3eijkq4iz5ar6i7e
2o$o$2o!

without S2a.

[77topaz]

Here's one without any S2:

Code: Select all

x = 4, y = 3, rule = B2c3-i/S134r
2bo$2obo$bo!

[wildmyron]

And just to make it a bit more of a challenge, here's a phoenix ship in a rule with B2c but no B2a:

Code: Select all

x = 5, y = 5, rule = B2-an3ajr4jk5c/S
2o$2bo$4bo$2bo$bobo!

Proof that it's naturally occurring.

As for the 1st challenge, I suspect synthesis of that still life is well beyond reach of currently known techniques, but what do I know?

[Hunting]

Here's one without any S2:

Code: Select all

x = 4, y = 3, rule = B2c3-i/S134r
2bo$2obo$bo!

Look nice.
How about "B2c, non-S2a, have natural breeder?

And just to make it a bit more of a challenge, here's a phoenix ship in a rule with B2c but no B2a:

Code: Select all

x = 5, y = 5, rule = B2-an3ajr4jk5c/S
2o$2bo$4bo$2bo$bobo!

Proof that it's naturally occurring.

As for the 1st challenge, I suspect synthesis of that still life is well beyond reach of currently known techniques, but what do I know?

"
Nice.

[Hunting]

And just to make it a bit more of a challenge, here's a phoenix ship in a rule with B2c but no B2a:

Code: Select all

x = 5, y = 5, rule = B2-an3ajr4jk5c/S
2o$2bo$4bo$2bo$bobo!

Proof that it's naturally occurring.

As for the 1st challenge, I suspect synthesis of that still life is well beyond reach of currently known techniques, but what do I know?

To make it more of a challenge, can we find a p3 c/3 ship in a rule with B2c but no B2a or S2a?
My 1st challenge is just a easy problem to make fun. However, my problem still life has many island. Can we synthesis it apart?
Still confuse about 1st and improved 2nd.

[77topaz]

How about "B2c, non-S2a, have natural breeder?

B2ace/S has plenty; here's a particularly pretty one (after about 5000 generations, the pattern actually looks like multiple Sierpinski triangles superimposed on top of each other).

Code: Select all

x = 16, y = 16, rule = B2ace/S
b2obob2ob3o3bo$o2bobobo3b2ob2o$b2o3bobo4bo$o3bo2bo2bobobo$4bobo3b6o$2o
b4obo3bobo$2o2bo2bob2ob2o$bo2bo3b2o3b3o$o4bo2b2o2bobo$bobobob2o3b2obo$
bo2b2ob3ob3obo$b2ob2obo4b2o$2o2b4o5bo$2o2b3o3bob3o$3ob2o3bo3b3o$4bo4bo
4b2o!

Screen Shot 2018-08-08 at 10.33.43 PM.png (105.91 KiB) Viewed 9376 times

To make it more of a challenge, can we find a p3 c/3 ship in a rule with B2c but no B2a or S2a?

Here's one (see also the subsequent messages for more ships with similar constraints).

[Hunting]

How about "B2c, non-S2a, have natural breeder?

B2ace/S has plenty; here's a particularly pretty one (after about 5000 generations, the pattern actually looks like multiple Sierpinski triangles superimposed on top of each other).

Code: Select all

x = 16, y = 16, rule = B2ace/S
b2obob2ob3o3bo$o2bobobo3b2ob2o$b2o3bobo4bo$o3bo2bo2bobobo$4bobo3b6o$2o
b4obo3bobo$2o2bo2bob2ob2o$bo2bo3b2o3b3o$o4bo2b2o2bobo$bobobob2o3b2obo$
bo2b2ob3ob3obo$b2ob2obo4b2o$2o2b4o5bo$2o2b3o3bob3o$3ob2o3bo3b3o$4bo4bo
4b2o!

Screen Shot 2018-08-08 at 10.33.43 PM.png

To make it more of a challenge, can we find a p3 c/3 ship in a rule with B2c but no B2a or S2a?

Here's one (see also the subsequent messages for more ships with similar constraints).

How about "B2c, non-B2a, has natural breeder, don't has replicator, evolution, interesting"?

[Hdjensofjfnen]

2. Find a B2c rule with [wrong]spaceship[/wrong] natural-occuring spaceship without s2e

Gladly:

Code: Select all

x = 3, y = 2, rule = B2ac/S
obo$2bo!

[Hdjensofjfnen]

Make a methuselah with a replicator + single object in HighLife. Here's my record, 8354:

Code: Select all

x = 16, y = 14, rule = B36/S23
bo$obo$obo$bo6$13b3o$12bo2bo$11bo3bo$11bo2bo$11b3o!

[dvgrn]

Make a methuselah with a replicator + single object in HighLife. Here's my record, 8354...

Some limits on object size and bounding box size would be good. Here's a replicator plus single object that stabilizes at T = six million three thousand and something or other:

Code: Select all

x = 1000015, y = 1000015, rule = B36/S23
2b2o$3bo$3o$o1000007$1000012b3o$1000011bo2bo$1000010bo3bo$1000010bo2bo
$1000010b3o!

Here's a 9498:

Code: Select all

x = 15, y = 15, rule = B36/S23
2b2o$3bo$3o$o7$12b3o$11bo2bo$10bo3bo$10bo2bo$10b3o!

A lot of eater positions seem to produce a long stretch of asymmetric ash, which eventually turns symmetrical -- but then it seems like you get unlimited novelty, with no stabilization except maybe in some rare case where the replicator drills back through to the asymmetrical part again (?). Example:

Code: Select all

x = 16, y = 13, rule = B36/S23
2b2o$3bo$3o$o5$13b3o$12bo2bo$11bo3bo$11bo2bo$11b3o!

I think that's the one I ran past a million without seeing stability -- though the replicator managed to drill a surprisingly deep hole in the symmetric ash at one point.

[Hunting]

How about "B2c, non-S2a, have natural breeder?

B2ace/S has plenty; here's a particularly pretty one (after about 5000 generations, the pattern actually looks like multiple Sierpinski triangles superimposed on top of each other).

Code: Select all

x = 16, y = 16, rule = B2ace/S
b2obob2ob3o3bo$o2bobobo3b2ob2o$b2o3bobo4bo$o3bo2bo2bobobo$4bobo3b6o$2o
b4obo3bobo$2o2bo2bob2ob2o$bo2bo3b2o3b3o$o4bo2b2o2bobo$bobobob2o3b2obo$
bo2b2ob3ob3obo$b2ob2obo4b2o$2o2b4o5bo$2o2b3o3bob3o$3ob2o3bo3b3o$4bo4bo
4b2o!

Screen Shot 2018-08-08 at 10.33.43 PM.png

To make it more of a challenge, can we find a p3 c/3 ship in a rule with B2c but no B2a or S2a?

Here's one (see also the subsequent messages for more ships with similar constraints).

How about "with B2c, without B2a, natural knightship exist, apgsearchable, has clean and not natural breeder, has very-common small spaceship, has gun?"?

[wwei23]

Find a generator for this fractal:

Nothing.PNG (11.9 KiB) Viewed 8706 times

[PHPBB12345]

Find a generator for this fractal:

Nothing.PNG

Javascript code:

Code: Select all

var a = [1];
document.write("<pre>");
for (var i = 0; i < 27; i++)
{
	a[i+1] = a[i];
	for (var j = 0; j <= i; j++)
	{
		document.write(a[j] ? "*" : " ");
	}
	for (var j = i; j > 0; j--)
	{
		a[j] = (a[j] + a[j-1]) % 3
	}
	document.write("<br />");
}
document.write("</pre>");

[wwei23]

Find a generator for this fractal:

Nothing.PNG

Code: Select all

var a = [1];
document.write("<pre>");
for (var i = 0; i < 27; i++)
{
	a[i+1] = a[i];
	for (var j = 0; j <= i; j++)
	{
		document.write(a[j] ? "*" : " ");
	}
	for (var j = i; j > 0; j--)
	{
		a[j] = (a[j] + a[j-1]) % 3
	}
	document.write("<br />");
}
document.write("</pre>");

I should've been clearer.
I mean in an isotropic 2-state cellular automaton.

[PHPBB12345]

Find a generator for this fractal:

Nothing.PNG

Code: Select all

var a = [1];
document.write("<pre>");
for (var i = 0; i < 27; i++)
{
	a[i+1] = a[i];
	for (var j = 0; j <= i; j++)
	{
		document.write(a[j] ? "*" : " ");
	}
	for (var j = i; j > 0; j--)
	{
		a[j] = (a[j] + a[j-1]) % 3
	}
	document.write("<br />");
}
document.write("</pre>");

I should've been clearer.
I mean in an isotropic 2-state cellular automaton.

C code:

Code: Select all

#include <stdio.h>

int main (int argc, char *argv[])
{
   int a[28], i, j;
   a[0] = 1;
   for (i = 0; i < 27; i++)
   {
      a[i+1] = a[i];
      for (j = 0; j <= i; j++)
      {
         if (a[j])
            printf("*");
         else
            printf(" ");
      }
      for (j = i; j > 0; j--)
      {
         a[j] = (a[j] + a[j-1]) % 3;
      }
      printf("\n");
   }
   return 0;
}

http://cpp.sh/8xp3o

[wwei23]

I should've been clearer.
I mean in an isotropic 2-state cellular automaton.

I meant a 2-dimensional one. Sorry for the trouble.

[PHPBB12345]

I should've been clearer.
I mean in an isotropic 2-state cellular automaton.

I meant a 2-dimensional one. Sorry for the trouble.

This?

Code: Select all

x = 180, y = 162, rule = B2e35y7e/S1c2ace3an
130bo2b2o2bo$95bo2bo28b2ob3o2b3ob2o$94bo4bo26bo2bo8bo2bo$47bo2bo44bo2b
o28b2ob3o2b3ob2o$46bo4bo74bo3bo2b2o2bo$47bo2bo37b2o35b2o$88b2o35b2o$
40b2o84bo3bo2b2o2bo$40b2o53bo2bo28b2ob3o2b3ob2o$82b2o10bo4bo26bo2bo8bo
2bo$47bo2bo30bo13bo2bo28b2ob8ob2o$34b2o10bo4bo78bo6bo$33bo13bo2bo31bo
3bo44b4o$82bo2b2o$34bo3bo28b2o6b2o7b3o8b2o15b2o6b2o$34bo2b2o28b2o6b2o
14b2obo2bob2o11b2o6b2o17bo2bo$19b2o6b2o7b3o8b2o22b2o6b2o9bo4b2o4bo14b
2o6b2o12bo4bo$19b2o6b2o14b2obo2bob2o18b2o6b2o10b2obo2bob2o15b2o6b2o13b
o2bo$23b2o6b2o9bo4b2o4bo41b2o$23b2o6b2o10b2obo2bob2o34b2o43b2o$47b2o
19b2obo2bob2o9b2o43b2o$39b2o24bo6b2o6bo14b2o16b2ob4ob2o$20b2obo2bob2o
9b2o24b3obo6bob3o10b2obo2bob2o12b2obo2bob2o16bo2bo$17bo6b2o6bo14b2o16b
o6b2o6bo9bo4b2o4bo11b2ob4ob2o15bo4bo$17b3obo6bob3o10b2obo2bob2o11bo3b
2obo2bob2o13b2obo2bob2o38bo2bo$17bo6b2o6bo9bo4b2o4bo12bo28b2o12b2o$16b
o3b2obo2bob2o13b2obo2bob2o13bo37bobo2b2o$18bo28b2o15bo3b2obo2bob2o26bo
bo$18bo46bo6b2o6bo24bo7b2ob4ob2o$16bo3b2obo2bob2o29bobo3b3obo6bob3o32b
2obo2bob2o$17bo6b2o6bo26bobo3bo6b2o6bo32b2ob4ob2o$11bobo3b3obo6bob3o
27bo7b2obo2bob2o$11bobo3bo6b2o6bo$12bo7b2obo2bob2o142bo2b2o2bo$172b3o
2b3o$34b2o15b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o15bo2b2o2bo$
33bo17b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$35bo129bo$32bo
131bobo$b3o13b3o12bo16b2o14b2o14b2o80bo$4bo15bo11bo2bo13b2o14b2o14b2o
77b2obobo10b2o$o2b2o11bo2b2o12b2o110b2ob4ob2o6b2o2bo6bo3b2o$2bo15bo
126b2obo2bob2o4bo16b2o$57b2o14b2o9bo4b2o6b2o6b2o6b2o6b2o6b2o14b2ob4ob
2o9bo$57b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o8bo28b2o$83bobo51b2obo27b2o$
136bo27bo$5bo7b2obo2bob2o113b5o18bo16b2o$4bobo3bo6b2o6bo109b2obo10bo2b
o8b2o13b2o$4bobo3b3obo6bob3o36bo2b2o2bo32b2ob4ob2o37b4o7b2o14b2o$10bo
6b2o6bo36b3o2b3o32b2obo2bob2o25bo11bo2bo$9bo3b2obo2bob2o39bo2b2o2bo24b
o7b2ob4ob2o56b2o$11bo41bo39bobo46b2o$11bo28b2o10bobo2b2o34bobo2b2o42b
2o$9bo3b2obo2bob2o13b2obo2bob2o6bobo2b2o39b2o$10bo6b2o6bo9bo4b2o4bo25b
obo13b2o38bo2bo17bo2bo$10b3obo6bob3o10b2obo2bob2o16bo2b2o2bo4bo12bo2bo
11b2ob4ob2o15bo4bo2bo13b4o$10bo6b2o6bo14b2o20b3o2b3o18b2o12b2obo2bob2o
16bo2bo3bo13bo2bo$13b2obo2bob2o9b2o28bo2b2o2bo32b2ob4ob2o$32b2o46b2o
39b2o$40b2o38b2o39b2o$16b2o6b2o10b2obo2bob2o$16b2o6b2o9bo4b2o4bo17b2o
6b2o14b2o15b2o6b2o13bo2bo$12b2o6b2o14b2obo2bob2o18b2o6b2o13bo2bo14b2o
6b2o12bo4bo$12b2o6b2o7b3o8b2o18b2o6b2o18b2o11b2o6b2o17bo2bo$27bo2b2o
28b2o6b2o31b2o6b2o$27bo3bo$80b2o38b4o$26bo13bo2bo36bo2bo35bo6bo$27b2o
10bo4bo31b2obo4bob2o28b2ob8ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$
76b2obo4bob2o28b2ob3o2b3ob2o$33b2o45bo2bo31bo3bo2b2o2bo$33b2o38b2o39b
2o$73b2o39b2o$40bo2bo36bo2bo31bo3bo2b2o2bo$39bo4bo31b2obo4bob2o28b2ob
3o2b3ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$76b2obo4bob2o28b2ob3o2b
3ob2o$80bo2bo31bo3bo2b2o2bo$73b2o39b2o$73b2o39b2o$80bo2bo31bo3bo2b2o2b
o$76b2obo4bob2o28b2ob3o2b3ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$39b
o4bo31b2obo4bob2o28b2ob3o2b3ob2o$40bo2bo36bo2bo31bo3bo2b2o2bo$73b2o39b
2o$33b2o38b2o39b2o$33b2o45bo2bo31bo3bo2b2o2bo$76b2obo4bob2o28b2ob3o2b
3ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$27b2o10bo4bo31b2obo4bob2o28b
2ob8ob2o$26bo13bo2bo36bo2bo35bo6bo$80b2o38b4o$27bo3bo$27bo2b2o28b2o6b
2o31b2o6b2o$12b2o6b2o7b3o8b2o18b2o6b2o18b2o11b2o6b2o17bo2bo$12b2o6b2o
14b2obo2bob2o18b2o6b2o13bo2bo14b2o6b2o12bo4bo$16b2o6b2o9bo4b2o4bo17b2o
6b2o14b2o15b2o6b2o13bo2bo$16b2o6b2o10b2obo2bob2o$40b2o38b2o39b2o$32b2o
46b2o39b2o$13b2obo2bob2o9b2o28bo2b2o2bo32b2ob4ob2o$10bo6b2o6bo14b2o20b
3o2b3o18b2o12b2obo2bob2o16bo2bo3bo13bo2bo$10b3obo6bob3o10b2obo2bob2o
16bo2b2o2bo4bo12bo2bo11b2ob4ob2o15bo4bo2bo13b4o$10bo6b2o6bo9bo4b2o4bo
25bobo13b2o38bo2bo17bo2bo$9bo3b2obo2bob2o13b2obo2bob2o6bobo2b2o39b2o$
11bo28b2o10bobo2b2o34bobo2b2o42b2o$11bo41bo39bobo46b2o$9bo3b2obo2bob2o
39bo2b2o2bo24bo7b2ob4ob2o56b2o$10bo6b2o6bo36b3o2b3o32b2obo2bob2o25bo
11bo2bo$4bobo3b3obo6bob3o36bo2b2o2bo32b2ob4ob2o37b4o7b2o14b2o$4bobo3bo
6b2o6bo109b2obo10bo2bo8b2o13b2o$5bo7b2obo2bob2o113b5o18bo16b2o$136bo
27bo$83bobo51b2obo27b2o$57b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o8bo28b2o$
57b2o14b2o9bo4b2o6b2o6b2o6b2o6b2o6b2o14b2ob4ob2o9bo$2bo15bo126b2obo2bo
b2o4bo16b2o$o2b2o11bo2b2o12b2o110b2ob4ob2o6b2o2bo6bo3b2o$4bo15bo11bo2b
o13b2o14b2o14b2o77b2obobo10b2o$b3o13b3o12bo16b2o14b2o14b2o80bo$32bo
131bobo$35bo129bo$33bo17b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o
$34b2o15b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o15bo2b2o2bo$172b
3o2b3o$12bo7b2obo2bob2o142bo2b2o2bo$11bobo3bo6b2o6bo$11bobo3b3obo6bob
3o27bo7b2obo2bob2o$17bo6b2o6bo26bobo3bo6b2o6bo32b2ob4ob2o$16bo3b2obo2b
ob2o29bobo3b3obo6bob3o32b2obo2bob2o$18bo46bo6b2o6bo24bo7b2ob4ob2o$18bo
28b2o15bo3b2obo2bob2o26bobo$16bo3b2obo2bob2o13b2obo2bob2o13bo37bobo2b
2o$17bo6b2o6bo9bo4b2o4bo12bo28b2o12b2o$17b3obo6bob3o10b2obo2bob2o11bo
3b2obo2bob2o13b2obo2bob2o38bo2bo$17bo6b2o6bo14b2o16bo6b2o6bo9bo4b2o4bo
11b2ob4ob2o15bo4bo$20b2obo2bob2o9b2o24b3obo6bob3o10b2obo2bob2o12b2obo
2bob2o16bo2bo$39b2o24bo6b2o6bo14b2o16b2ob4ob2o$47b2o19b2obo2bob2o9b2o
43b2o$23b2o6b2o10b2obo2bob2o34b2o43b2o$23b2o6b2o9bo4b2o4bo41b2o$19b2o
6b2o14b2obo2bob2o18b2o6b2o10b2obo2bob2o15b2o6b2o13bo2bo$19b2o6b2o7b3o
8b2o22b2o6b2o9bo4b2o4bo14b2o6b2o12bo4bo$34bo2b2o28b2o6b2o14b2obo2bob2o
11b2o6b2o17bo2bo$34bo3bo28b2o6b2o7b3o8b2o15b2o6b2o$82bo2b2o$33bo13bo2b
o31bo3bo44b4o$34b2o10bo4bo78bo6bo$47bo2bo30bo13bo2bo28b2ob8ob2o$82b2o
10bo4bo26bo2bo8bo2bo$40b2o53bo2bo28b2ob3o2b3ob2o$40b2o84bo3bo2b2o2bo$
88b2o35b2o$47bo2bo37b2o35b2o$46bo4bo74bo3bo2b2o2bo$47bo2bo44bo2bo28b2o
b3o2b3ob2o$94bo4bo26bo2bo8bo2bo$95bo2bo28b2ob3o2b3ob2o$130bo2b2o2bo!

[wwei23]

I should've been clearer.
I mean in an isotropic 2-state cellular automaton.

I meant a 2-dimensional one. Sorry for the trouble.

This?

Code: Select all

x = 180, y = 162, rule = B2e35y7e/S1c2ace3an
130bo2b2o2bo$95bo2bo28b2ob3o2b3ob2o$94bo4bo26bo2bo8bo2bo$47bo2bo44bo2b
o28b2ob3o2b3ob2o$46bo4bo74bo3bo2b2o2bo$47bo2bo37b2o35b2o$88b2o35b2o$
40b2o84bo3bo2b2o2bo$40b2o53bo2bo28b2ob3o2b3ob2o$82b2o10bo4bo26bo2bo8bo
2bo$47bo2bo30bo13bo2bo28b2ob8ob2o$34b2o10bo4bo78bo6bo$33bo13bo2bo31bo
3bo44b4o$82bo2b2o$34bo3bo28b2o6b2o7b3o8b2o15b2o6b2o$34bo2b2o28b2o6b2o
14b2obo2bob2o11b2o6b2o17bo2bo$19b2o6b2o7b3o8b2o22b2o6b2o9bo4b2o4bo14b
2o6b2o12bo4bo$19b2o6b2o14b2obo2bob2o18b2o6b2o10b2obo2bob2o15b2o6b2o13b
o2bo$23b2o6b2o9bo4b2o4bo41b2o$23b2o6b2o10b2obo2bob2o34b2o43b2o$47b2o
19b2obo2bob2o9b2o43b2o$39b2o24bo6b2o6bo14b2o16b2ob4ob2o$20b2obo2bob2o
9b2o24b3obo6bob3o10b2obo2bob2o12b2obo2bob2o16bo2bo$17bo6b2o6bo14b2o16b
o6b2o6bo9bo4b2o4bo11b2ob4ob2o15bo4bo$17b3obo6bob3o10b2obo2bob2o11bo3b
2obo2bob2o13b2obo2bob2o38bo2bo$17bo6b2o6bo9bo4b2o4bo12bo28b2o12b2o$16b
o3b2obo2bob2o13b2obo2bob2o13bo37bobo2b2o$18bo28b2o15bo3b2obo2bob2o26bo
bo$18bo46bo6b2o6bo24bo7b2ob4ob2o$16bo3b2obo2bob2o29bobo3b3obo6bob3o32b
2obo2bob2o$17bo6b2o6bo26bobo3bo6b2o6bo32b2ob4ob2o$11bobo3b3obo6bob3o
27bo7b2obo2bob2o$11bobo3bo6b2o6bo$12bo7b2obo2bob2o142bo2b2o2bo$172b3o
2b3o$34b2o15b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o15bo2b2o2bo$
33bo17b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o$35bo129bo$32bo
131bobo$b3o13b3o12bo16b2o14b2o14b2o80bo$4bo15bo11bo2bo13b2o14b2o14b2o
77b2obobo10b2o$o2b2o11bo2b2o12b2o110b2ob4ob2o6b2o2bo6bo3b2o$2bo15bo
126b2obo2bob2o4bo16b2o$57b2o14b2o9bo4b2o6b2o6b2o6b2o6b2o6b2o14b2ob4ob
2o9bo$57b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o8bo28b2o$83bobo51b2obo27b2o$
136bo27bo$5bo7b2obo2bob2o113b5o18bo16b2o$4bobo3bo6b2o6bo109b2obo10bo2b
o8b2o13b2o$4bobo3b3obo6bob3o36bo2b2o2bo32b2ob4ob2o37b4o7b2o14b2o$10bo
6b2o6bo36b3o2b3o32b2obo2bob2o25bo11bo2bo$9bo3b2obo2bob2o39bo2b2o2bo24b
o7b2ob4ob2o56b2o$11bo41bo39bobo46b2o$11bo28b2o10bobo2b2o34bobo2b2o42b
2o$9bo3b2obo2bob2o13b2obo2bob2o6bobo2b2o39b2o$10bo6b2o6bo9bo4b2o4bo25b
obo13b2o38bo2bo17bo2bo$10b3obo6bob3o10b2obo2bob2o16bo2b2o2bo4bo12bo2bo
11b2ob4ob2o15bo4bo2bo13b4o$10bo6b2o6bo14b2o20b3o2b3o18b2o12b2obo2bob2o
16bo2bo3bo13bo2bo$13b2obo2bob2o9b2o28bo2b2o2bo32b2ob4ob2o$32b2o46b2o
39b2o$40b2o38b2o39b2o$16b2o6b2o10b2obo2bob2o$16b2o6b2o9bo4b2o4bo17b2o
6b2o14b2o15b2o6b2o13bo2bo$12b2o6b2o14b2obo2bob2o18b2o6b2o13bo2bo14b2o
6b2o12bo4bo$12b2o6b2o7b3o8b2o18b2o6b2o18b2o11b2o6b2o17bo2bo$27bo2b2o
28b2o6b2o31b2o6b2o$27bo3bo$80b2o38b4o$26bo13bo2bo36bo2bo35bo6bo$27b2o
10bo4bo31b2obo4bob2o28b2ob8ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$
76b2obo4bob2o28b2ob3o2b3ob2o$33b2o45bo2bo31bo3bo2b2o2bo$33b2o38b2o39b
2o$73b2o39b2o$40bo2bo36bo2bo31bo3bo2b2o2bo$39bo4bo31b2obo4bob2o28b2ob
3o2b3ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$76b2obo4bob2o28b2ob3o2b
3ob2o$80bo2bo31bo3bo2b2o2bo$73b2o39b2o$73b2o39b2o$80bo2bo31bo3bo2b2o2b
o$76b2obo4bob2o28b2ob3o2b3ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$39b
o4bo31b2obo4bob2o28b2ob3o2b3ob2o$40bo2bo36bo2bo31bo3bo2b2o2bo$73b2o39b
2o$33b2o38b2o39b2o$33b2o45bo2bo31bo3bo2b2o2bo$76b2obo4bob2o28b2ob3o2b
3ob2o$40bo2bo31bo3bob2obo3bo26bo2bo8bo2bo$27b2o10bo4bo31b2obo4bob2o28b
2ob8ob2o$26bo13bo2bo36bo2bo35bo6bo$80b2o38b4o$27bo3bo$27bo2b2o28b2o6b
2o31b2o6b2o$12b2o6b2o7b3o8b2o18b2o6b2o18b2o11b2o6b2o17bo2bo$12b2o6b2o
14b2obo2bob2o18b2o6b2o13bo2bo14b2o6b2o12bo4bo$16b2o6b2o9bo4b2o4bo17b2o
6b2o14b2o15b2o6b2o13bo2bo$16b2o6b2o10b2obo2bob2o$40b2o38b2o39b2o$32b2o
46b2o39b2o$13b2obo2bob2o9b2o28bo2b2o2bo32b2ob4ob2o$10bo6b2o6bo14b2o20b
3o2b3o18b2o12b2obo2bob2o16bo2bo3bo13bo2bo$10b3obo6bob3o10b2obo2bob2o
16bo2b2o2bo4bo12bo2bo11b2ob4ob2o15bo4bo2bo13b4o$10bo6b2o6bo9bo4b2o4bo
25bobo13b2o38bo2bo17bo2bo$9bo3b2obo2bob2o13b2obo2bob2o6bobo2b2o39b2o$
11bo28b2o10bobo2b2o34bobo2b2o42b2o$11bo41bo39bobo46b2o$9bo3b2obo2bob2o
39bo2b2o2bo24bo7b2ob4ob2o56b2o$10bo6b2o6bo36b3o2b3o32b2obo2bob2o25bo
11bo2bo$4bobo3b3obo6bob3o36bo2b2o2bo32b2ob4ob2o37b4o7b2o14b2o$4bobo3bo
6b2o6bo109b2obo10bo2bo8b2o13b2o$5bo7b2obo2bob2o113b5o18bo16b2o$136bo
27bo$83bobo51b2obo27b2o$57b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o8bo28b2o$
57b2o14b2o9bo4b2o6b2o6b2o6b2o6b2o6b2o14b2ob4ob2o9bo$2bo15bo126b2obo2bo
b2o4bo16b2o$o2b2o11bo2b2o12b2o110b2ob4ob2o6b2o2bo6bo3b2o$4bo15bo11bo2b
o13b2o14b2o14b2o77b2obobo10b2o$b3o13b3o12bo16b2o14b2o14b2o80bo$32bo
131bobo$35bo129bo$33bo17b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o
$34b2o15b2o14b2o14b2o14b2o6b2o6b2o6b2o6b2o6b2o6b2o6b2o15bo2b2o2bo$172b
3o2b3o$12bo7b2obo2bob2o142bo2b2o2bo$11bobo3bo6b2o6bo$11bobo3b3obo6bob
3o27bo7b2obo2bob2o$17bo6b2o6bo26bobo3bo6b2o6bo32b2ob4ob2o$16bo3b2obo2b
ob2o29bobo3b3obo6bob3o32b2obo2bob2o$18bo46bo6b2o6bo24bo7b2ob4ob2o$18bo
28b2o15bo3b2obo2bob2o26bobo$16bo3b2obo2bob2o13b2obo2bob2o13bo37bobo2b
2o$17bo6b2o6bo9bo4b2o4bo12bo28b2o12b2o$17b3obo6bob3o10b2obo2bob2o11bo
3b2obo2bob2o13b2obo2bob2o38bo2bo$17bo6b2o6bo14b2o16bo6b2o6bo9bo4b2o4bo
11b2ob4ob2o15bo4bo$20b2obo2bob2o9b2o24b3obo6bob3o10b2obo2bob2o12b2obo
2bob2o16bo2bo$39b2o24bo6b2o6bo14b2o16b2ob4ob2o$47b2o19b2obo2bob2o9b2o
43b2o$23b2o6b2o10b2obo2bob2o34b2o43b2o$23b2o6b2o9bo4b2o4bo41b2o$19b2o
6b2o14b2obo2bob2o18b2o6b2o10b2obo2bob2o15b2o6b2o13bo2bo$19b2o6b2o7b3o
8b2o22b2o6b2o9bo4b2o4bo14b2o6b2o12bo4bo$34bo2b2o28b2o6b2o14b2obo2bob2o
11b2o6b2o17bo2bo$34bo3bo28b2o6b2o7b3o8b2o15b2o6b2o$82bo2b2o$33bo13bo2b
o31bo3bo44b4o$34b2o10bo4bo78bo6bo$47bo2bo30bo13bo2bo28b2ob8ob2o$82b2o
10bo4bo26bo2bo8bo2bo$40b2o53bo2bo28b2ob3o2b3ob2o$40b2o84bo3bo2b2o2bo$
88b2o35b2o$47bo2bo37b2o35b2o$46bo4bo74bo3bo2b2o2bo$47bo2bo44bo2bo28b2o
b3o2b3ob2o$94bo4bo26bo2bo8bo2bo$95bo2bo28b2ob3o2b3ob2o$130bo2b2o2bo!

That's one. For an unknown reason, I can't find any that were discovered before I constructed mine.
Now, for the real challenge:
Find one of those that uses a replicator not based on this one.
Hint: there is another one known.

A 5c/10 replicator that happens to produce long-lived intermediate sparks at multiples of 20 generations (every 2 periods):

Code: Select all

x = 5, y = 4, rule = B3-e4ny56i7e/S2-ck3r4-nt5jq6
b3o$2ob2o$2ob2o$b3o!

Synthesized:

Code: Select all

x = 38, y = 7, rule = B3-e4ny56i7e/S2-ck3r4-nt5jq6
16bo$16b2o$16b2o$b2o13bo19bo$3o33b2o$b2o33b2o$36bo!

The long-lived sparks are not sparks...