Thread for basic non-CGOL questions

[4.66920 16091]

How would I find a rule where a spaceship-object collision is a splitter/reflector? More specifically, is there a rule where this

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x = 7, y = 3, rule = B3-n/S1e2-a3-e
4bo$2o2bobo$4bo!

is a splitter of some sort?

Here it is:

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x = 5, y = 3, rule = B3-nqry4ej/S1e2-a3-e4e8
4bo$2ob2o$4bo!

(I found it by hand.)
Edit:much faster:

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x = 5, y = 3, rule = B2c3ai4i7e/S1e2-a3-e6i
4bo$2ob2o$4bo!

[pzq_alex]

Did the replicator JvN described in his original paper ever got (explicitly) constructed?

[ihatecorderships]

Can odd periods exist in B1e3ek4akr5jn7e/S1e2aei3eir4eiktz8? I've done a lot of soup-searching and have found a ton of even periods but no odd ones.

[confocaloid]

Can odd periods exist in B1e3ek4akr5jn7e/S1e2aei3eir4eiktz8? I've done a lot of soup-searching and have found a ton of even periods but no odd ones.

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#C p3 found with LLS:
x = 7, y = 7, rule = B1e3ek4akr5jn7e/S1e2aei3eir4eiktz8
3b3o$2obobo$o$2o3b2o$6bo$2bo2b2o$2b2o!

[HotWheels9232]

Does there exist, in B45678/S2345, a "full" oscillator in which the casing is a diamond?
This is an example of a "full" oscillator of period 97

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x = 8, y = 8, rule = B45678/S2345
8o$o2b2o2bo$ob4obo$obo2bobo$2o4b2o$obo2bobo$ob4obo$b6o!

As you can see, full oscillators tend to have higher periods and use all space given for the rotor.
But when I change the casing to a diamond shape, randomness inside just degrades into
a) a vacuum
b) a still life
c) non-full oscillators
example of degradation into an oscillator, still life, and vacuum

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x = 29, y = 19, rule = B45678/S2345
7bo16bo$6bobo14bobo$5bo3bo12bo3bo$4bo5bo10bob2o2bo$3b3ob5o8bo3b2o2bo$
2bo2bob4obo8bo2b2obo$bo2bob2obo3bo8bo3bo$o3b2o2bobo3bo8bobo$bo3b2obo4b
o10bo$2bo2bob4obo$3bob2o2b3o12bo$4bo5bo12bobo$5bo3bo12bo3bo$6bobo12bob
2o2bo$7bo12bo2bo4bo$21bob3obo$22bo3bo$23bobo$24bo!

Actually I have found one, but it has a small period of 10 and this is the only one I have found. Are there more of larger periods?

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x = 9, y = 9, rule = B45678/S2345
4bo$3bobo$2bo3bo$bo5bo$2o6bo$b3o3bo$2b2o2bo$3b3o$4bo!

Sorry for replying to your post, but p133:

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x = 13, y = 13, rule = B45678/S2345
6bo$5b3o$4b5o$3bo2b4o$2bo4bob2o$b2o4b5o$4o2b7o$b6obob2o$2b2ob3ob2o$3b
4ob2o$4b5o$5b3o$6bo!

[NimbleRogue]

What is the rule with the most amount of unique ship speeds, (preferably not just an adjustable spaceship)?

[yujh]

What is the rule with the most amount of unique ship speeds, (preferably not just an adjustable spaceship)?

Well I don;t know what the record is currently, but it might be possible to have a rule with all possible speeds and they are not adjustable. My guess would be shipworld by May13.

[toroidalet]

Life has countably many non-adjustable speeds, based on 0E0P metacells in a number of different ways, most obviously those derived from all the spaceships in 2-state rules, all the spaceships in 3-state rules, all the spaceships in 4-state rules, etc. (to some extent the metacells themselves are adjustable). A few other rules are known to, such as tube-replicator rules (including, more generally, Highlife and those rules with self-supporting replicator ships), which aren't technically adjustable, may be considered adjustable "in spirit". Personally, I suspect that most rules contain long space junk columns of almost every speed as well, though this is hard to prove.

This does mean that the question of which rule has "more" is pointless, because you can easily construct a bijection between any 2 infinite-speed rules, such as listing all speeds with spaceships in lexicographic order (so (0,1)c/2, (0,1)c/3, (1,1)c/3, (0,1)c/4, (0,2)c/4, (1,1)c/4, etc) and matching the nth speed of list 1 with the nth speed of list 2. I'm not sure if there's a non-boring version of this question other than "how many non-adjustable speeds can you find in one rule?".

[atavoidirc]

what is the INT rule with 5 3 celled spaceships

[toroidalet]

The current record (discounting that rule with 3-cell adjustable spaceships) is 7:

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x = 62, y = 4, rule = B2ekn3eir4ajrty5ej6c/S02-ei3ackn4anqy5acj6in7
bo7bo7bo5bo6bobo11bo15bo$obo26bo15bo15bo$7bo3bo4bobo3bo24bo$24bo33bo!

If you want the first (there are several) 5-ship rule for historical reasons, it's this one (from here):

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x = 37, y = 5, rule = B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
2bo6bo7bo6bobo7bo$bobo19bo11bo$8bobo7bo13bo$16bo!

[confocaloid]

Has anyone tried modifying the code to census small evolving patterns for other rules? Which parts have to be changed? (Maybe the question can be widened to ask for a review of other existing software initially written for B3/S23.)

[pzq_alex]

What is the general technique of corderizing (i.e. getting a spaceship from otherwise unstable engines), and/or creating replicator-based spaceships (including those not traveling at the same speed as the rep itself)?

[HotWheels9232]

What is the general technique of corderizing (i.e. getting a spaceship from otherwise unstable engines), and/or creating replicator-based spaceships (including those not traveling at the same speed as the rep itself)?

I think just meshing engines together and just hope to get a spaceship(maybe using programs)

[confocaloid]

What about a Tutorials:Corderizing?

What is the general procedure to construct a Cordership from an engine like this?

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code

What is the general technique of corderizing (i.e. getting a spaceship from otherwise unstable engines), and/or creating replicator-based spaceships (including those not traveling at the same speed as the rep itself)?

After seeing some of the various patterns posted on the forum, I doubt there is any single general technique (other than trying different possibilities and looking what happens).
The CGoLM&C book includes section 4.3 "Corderships".

[pzq_alex]

After seeing some of the various patterns posted on the forum, I doubt there is any single general technique (other than trying different possibilities and looking what happens).
The CGoLM&C book includes section 4.3 "Corderships".

Then what about those replicator-based spaceships, like these in HighLife?

I think there's some linear algebra in there, but too reluctant to work out the details...

[yujh]

There are several different general techniques known right now that helps you make corderships. I will try edit and put together a brief summary here.

Some general ways to corderize puffers:
One of the easiest ways is just apgsearch the rule or make a program that places two or more copies of the puffer you want to corderize. The 2 engine cordership is found using a program. You can do this manually, but usually it will take more time if you are not experienced. This is a method that you can use on other things like (failed) replicators and unstable engines.
making use of small common spaceships:
Some common corderships using small ships are like these:(please don't mind my terrible drawings, green represents engines, red represents trail, white and yellow represents glider stream. the glider stream is to delete the trail the puffer leaves behind)

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x = 47, y = 19, rule = LifeHistory
3A7.3A7.3A7.3A7.3A.3A$3A7.3A7.3A7.3A7.3A.3A$3A7.3A7.3A7.3A7.3A.3A2$.D
2.C4.E.D9.D2.C6.D9.D3.C2$.D4.CE3.D9.D4.C4.D9.D.C2$.D3.E2.C2.D9.D6.C2.
D9.C2$.D.E6.CD9.D8.CD2$.E19.D6.C2$21.D4.C2$21.D2.C2$21.DC!

Here are some general techniques regarding rakes. these can be combines, as glider streams can be always be replaced by still life trails.

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x = 145, y = 31, rule = LifeHistory
11.3A7.3A37.3A7.3A37.3A7.3A7.3A$11.3A7.3A37.3A7.3A37.3A7.3A7.3A$11.3A
7.3A37.3A7.3A37.3A7.3A7.3A2$9.C5.C3.C5.C33.C5.C3.C5.C33.C5.C3.C5.C3.C
5.C2$7.C9.C9.C29.C9.C9.C29.C9.C9.C9.C2$5.C9.E3.E9.C25.C9.E13.C25.C9.E
13.E9.C$12.E9.E39.E49.E19.E$3.C5.E15.E5.C21.C5.E21.C21.C5.E25.E5.C$6.
E21.E27.E49.E31.E$.C.E27.E.C17.C.E29.C17.C.E37.E.C$E33.E15.E49.E43.E$
53.E31.C$56.E$59.E27.C$62.E$65.E23.C$68.E$71.E19.C$74.E$77.E15.C$80.E
$83.E11.C$86.E$89.E7.C$92.E$95.E3.C$98.E$101.E!

How you should combine these does require some experiences, and it is not very simple.
Here is an example for some more complicated constructions.

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x = 55, y = 27, rule = LifeHistory
3A2.3A2.3A2.3A12.3A4.3A4.3A$3A2.3A2.3A2.3A12.3A4.3A4.3A$3A2.3A2.3A2.
3A12.3A4.3A4.3A2$.D3.C6.C3.D11.C3.C4.C3.C2.C3.C$.D14.D25.C$.D.C10.C.D
9.C7.2C7.C6.C$.D14.D28.E$.C14.C7.C23.E3.C$51.E$22.C31.E$51.E$20.C27.E
$45.E$18.C23.E$39.E$16.C19.E$33.E$14.C15.E$27.E$12.C11.E$21.E$10.C7.E
$15.E$8.C3.E$9.E$6.E!

Here's some conception of corderizing a forward rake:

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x = 39, y = 36, rule = LifeHistory
31.4B$33.2B$2.C29.B.B.C$31.B2.B$4.C9.C9.C5.B3.C$2.E33.E$.3E2.C5.C3.C
5.C3.C5.C2.3E$E.E.E29.E.E.E$2.E5.3A7.3A7.3A5.E$2.E5.3A7.3A7.3A5.E$2.E
5.3A5.C.3A.C5.3A5.E$2.E33.E$2.E11.C9.C11.E$2.E33.E$2.E9.C13.C9.E$2.E
13.B19.E$2.E7.C.B2.B12.C7.E$2.E9.B.B21.E$2.E5.C3.2B16.C5.E$2.E9.4B20.
E$2.E3.C25.C3.E$2.E3.C25.C3.E2$8.C21.C2$10.C17.C2$12.C13.C2$8.4B2.C9.
C$8.2B$8.B.B5.C5.C$8.B2.B$12.B5.3A$18.3A$18.3A!

This is a bit uncommon, and here's an example by silversmith
Not using any ships: pretty straight forward, but just searching with a program might be faster for these.

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x = 21, y = 15, rule = LifeHistory
3A7.3A$3A7.3A$3A7.3A5.B$D9.D6.3B$16.B.B.B$D9.D7.B$.3A7.3A4.B$D3A6.D3A4.B$.3A7.3A4.B$9.2D2$9.2D$11.3A$9.2D3A$11.3A!
#C [[ THUMBNAIL ]]

There are other common designs using no gliders, and basically looks like this:

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x = 53, y = 25, rule = LifeHistory
.3A21.3A3.3A3.3A3.3A3.3A$.3A21.3A3.3A3.3A3.3A3.3A$.3A21.3A3.3A3.3A3.3A3.3A2$D3.D19.D27.D2$D3.D19.D.3A4.3A4.3A4.3A2.D$26.3A4.3A4.3A4.3A$D3.D19.D.3A4.3A4.3A4.3A2.D2$D3.D2$D3.D2$33.F$29.6F$29.2F2.3F$23.3F7.F.F$4.F17.2F.2F5.2F.2F$4.2F16.F3.F5.F3.F$5.2F15.F3.F4.F4.F$6.2F14.F3.F3.2F4.F$7.2F13.2F.2F2.2F5.F$9.4F10.3F2.F$13.15F!
#C [[ THUMBNAIL ]]

Edit something: I just noticed that naming files the same name is a bad habit.
Edit something +1: I just noticed that you can upload max 3 files. Time for a ruletable and stuff.
Edit something +4: I just noticed you can upload more than 3 files, but you can't scroll down and get to them.
Edit 23: I will work on this later (like 12 hours later)

[GUYTU6J]

Then what about those replicator-based spaceships, like these in HighLife?

I think there's some linear algebra in there, but too reluctant to work out the details...

The sequence of replicator units may be determined by repeat.py or serial deduction in some simple cases. The partial 8c/128 spaceship in Harvest Moon has 2250 units now, for backup, but I don't know how long the remaining part will be:

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x = 18005, y = 11, rule = B3-ckr5y/S2-i3-aek4ci5c
3bo7bo7bo7bo23bo23bo15bo31bo7bo7bo15bo7bo15bo15bo15bo7bo7bo7bo23bo39bo
23bo7bo7bo7bo7bo7bo7bo15bo7bo7bo7bo7bo15bo7bo7bo47bo7bo23bo7bo7bo15bo
39bo7bo7bo7bo31bo7bo15bo15bo47bo23bo15bo7bo15bo7bo7bo15bo15bo7bo7bo7bo
7bo31bo7bo31bo7bo15bo23bo7bo15bo7bo7bo31bo15bo7bo15bo15bo7bo7bo7bo31bo
23bo31bo23bo7bo71bo23bo23bo7bo15bo23bo23bo23bo7bo15bo7bo7bo7bo7bo15bo
23bo15bo7bo15bo7bo7bo7bo15bo15bo7bo7bo7bo15bo7bo71bo7bo7bo7bo7bo15bo7b
o15bo7bo7bo7bo7bo15bo15bo31bo15bo7bo7bo15bo7bo7bo7bo7bo7bo15bo15bo15bo
47bo15bo15bo15bo15bo7bo7bo7bo15bo15bo7bo7bo15bo63bo7bo7bo15bo7bo7bo15b
o7bo7bo7bo15bo7bo7bo7bo23bo15bo15bo23bo7bo7bo7bo15bo39bo15bo7bo7bo15bo
7bo7bo31bo7bo15bo15bo7bo7bo7bo7bo15bo23bo7bo23bo7bo7bo7bo7bo23bo23bo7b
o47bo7bo39bo71bo7bo7bo39bo15bo7bo7bo47bo15bo7bo23bo15bo15bo7bo7bo23bo
7bo7bo7bo15bo7bo7bo23bo23bo7bo7bo15bo7bo23bo23bo23bo15bo15bo23bo15bo7b
o7bo63bo31bo15bo7bo7bo7bo31bo15bo15bo7bo15bo23bo15bo7bo7bo31bo7bo7bo
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o39bo15bo7bo15bo55bo15bo15bo15bo7bo31bo15bo15bo23bo39bo7bo39bo15bo7bo
7bo7bo31bo7bo15bo7bo7bo15bo31bo15bo7bo23bo15bo15bo7bo31bo7bo7bo7bo15bo
15bo23bo31bo23bo7bo23bo47bo47bo7bo15bo7bo39bo23bo7bo23bo7bo7bo7bo7bo7b
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7bo7bo23bo7bo31bo7bo39bo7bo7bo7bo7bo7bo7bo23bo23bo7bo7bo7bo7bo7bo15bo
7bo23bo7bo15bo31bo7bo39bo47bo23bo7bo7bo31bo7bo15bo7bo7bo15bo15bo15bo
15bo7bo23bo7bo7bo15bo7bo23bo7bo15bo7bo15bo15bo55bo7bo23bo7bo15bo23bo
23bo7bo23bo15bo7bo7bo7bo47bo23bo15bo15bo7bo15bo15bo15bo23bo55bo31bo15b
o55bo15bo7bo31bo31bo7bo47bo7bo7bo7bo15bo47bo7bo15bo15bo7bo7bo7bo7bo23b
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15bo7bo15bo23bo39bo15bo7bo7bo7bo7bo15bo7bo23bo7bo7bo7bo7bo7bo15bo7bo
23bo23bo31bo7bo15bo23bo31bo39bo7bo7bo39bo15bo7bo55bo15bo31bo15bo23bo
31bo7bo7bo7bo15bo15bo23bo7bo23bo23bo7bo15bo7bo63bo31bo7bo15bo7bo7bo31b
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15bo15bo7bo15bo7bo15bo7bo7bo7bo7bo23bo7bo7bo23bo15bo39bo7bo7bo23bo7bo
31bo31bo7bo7bo7bo7bo7bo15bo7bo7bo7bo7bo15bo7bo55bo7bo15bo7bo7bo7bo15bo
15bo15bo7bo7bo7bo7bo31bo23bo15bo7bo15bo15bo7bo23bo7bo7bo7bo23bo7bo7bo
7bo15bo15bo15bo31bo7bo23bo15bo15bo7bo23bo7bo15bo7bo15bo15bo7bo47bo7bo
15bo7bo7bo15bo39bo7bo7bo23bo15bo7bo15bo31bo31bo7bo15bo23bo15bo7bo7bo
39bo7bo15bo31bo31bo7bo39bo15bo7bo7bo15bo23bo7bo15bo7bo15bo7bo31bo7bo
23bo15bo15bo15bo7bo7bo7bo15bo7bo23bo15bo31bo7bo7bo15bo7bo7bo7bo15bo15b
o7bo7bo7bo7bo15bo55bo7bo7bo7bo7bo7bo7bo7bo23bo7bo7bo7bo7bo7bo15bo7bo
47bo31bo7bo7bo7bo23bo23bo7bo7bo31bo7bo7bo23bo15bo15bo23bo15bo23bo63bo
7bo15bo15bo23bo7bo7bo15bo15bo15bo15bo39bo7bo15bo7bo7bo15bo23bo7bo7bo7b
o7bo23bo39bo39bo7bo7bo7bo7bo15bo23bo7bo15bo7bo15bo7bo7bo23bo7bo23bo31b
o15bo7bo7bo31bo23bo15bo23bo7bo7bo7bo23bo15bo7bo7bo15bo7bo15bo7bo39bo
39bo15bo7bo7bo7bo7bo23bo23bo7bo7bo7bo7bo23bo7bo23bo7bo47bo7bo15bo15bo
7bo47bo15bo7bo7bo7bo15bo23bo7bo7bo7bo7bo31bo31bo31bo15bo7bo7bo7bo23bo
7bo15bo15bo7bo15bo7bo15bo15bo7bo7bo7bo15bo7bo7bo7bo15bo39bo23bo23bo7bo
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15bo7bo31bo7bo7bo15bo7bo7bo15bo15bo15bo7bo7bo7bo7bo15bo7bo7bo23bo15bo
7bo7bo23bo7bo71bo7bo7bo7bo23bo7bo15bo7bo7bo7bo23bo15bo23bo7bo7bo7bo7bo
7bo15bo7bo7bo7bo15bo15bo47bo31bo7bo7bo15bo7bo7bo23bo7bo7bo7bo7bo7bo7bo
7bo7bo15bo31bo7bo23bo15bo7bo7bo31bo7bo15bo39bo7bo15bo39bo15bo7bo7bo31b
o31bo7bo23bo7bo7bo7bo7bo7bo7bo15bo7bo7bo7bo23bo7bo7bo39bo7bo7bo23bo7bo
63bo7bo7bo7bo7bo23bo7bo7bo7bo7bo7bo7bo63bo7bo7bo7bo7bo7bo7bo$2bobo5bob
o5bobo5bobo21bobo21bobo13bobo29bobo5bobo5bobo13bobo5bobo13bobo13bobo
13bobo5bobo5bobo5bobo21bobo37bobo21bobo5bobo5bobo5bobo5bobo5bobo5bobo
13bobo5bobo5bobo5bobo5bobo13bobo5bobo5bobo45bobo5bobo21bobo5bobo5bobo
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bo5bobo5bobo5bobo13bobo5bobo13bobo5bobo5bobo5bobo5bobo13bobo13bobo29bo
bo13bobo5bobo5bobo13bobo5bobo5bobo5bobo5bobo5bobo13bobo13bobo13bobo45b
obo13bobo13bobo13bobo13bobo5bobo5bobo5bobo13bobo13bobo5bobo5bobo13bobo
61bobo5bobo5bobo13bobo5bobo5bobo13bobo5bobo5bobo5bobo13bobo5bobo5bobo
5bobo21bobo13bobo13bobo21bobo5bobo5bobo5bobo13bobo37bobo13bobo5bobo5bo
bo13bobo5bobo5bobo29bobo5bobo13bobo13bobo5bobo5bobo5bobo5bobo13bobo21b
obo5bobo21bobo5bobo5bobo5bobo5bobo21bobo21bobo5bobo45bobo5bobo37bobo
69bobo5bobo5bobo37bobo13bobo5bobo5bobo45bobo13bobo5bobo21bobo13bobo13b
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bo13bobo5bobo21bobo21bobo21bobo13bobo13bobo21bobo13bobo5bobo5bobo61bob
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obo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2bo17bo2bo2bo25bo2bo2bo17bo2bo2bobo2bo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$7ob7ob7ob7o17b7o17b7o9b7o25b7ob7ob7o9b7ob7o9b7o9b7o9b7ob7ob7o
b7o17b7o33b7o17b7ob7ob7ob7ob7ob7ob7o9b7ob7ob7ob7ob7o9b7ob7ob7o41b7ob7o
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7o17b7ob7o57b7ob7ob7ob7ob7o17b7ob7ob7ob7ob7ob7ob7o57b7ob7ob7ob7ob7ob7o
b3o6bobo$17998bo3bobo$7ob7ob7ob7o17b7o17b7o9b7o25b7ob7ob7o9b7ob7o9b7o
9b7o9b7ob7ob7ob7o17b7o33b7o17b7ob7ob7ob7ob7ob7ob7o9b7ob7ob7ob7ob7o9b7o
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2bobo2bo2bobo2bo2bo25bo2bo2bobo2bo2bo17bo2bo2bobo2bo2bobo2bo2bobo2bo2b
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41bo2bo2bo17bo2bo2bo9bo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo
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25bo2bo2bo25bo2bo2bobo2bo2bo41bo2bo2bobo2bo2bobo2bo2bobo2bo2bo9bo2bo2b
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o2bo17bo2bo2bo33bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2bobo
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o2bo2bobo2bo2bobo2bo2bo33bo2bo2bo9bo2bo2bobo2bo2bo49bo2bo2bo9bo2bo2bo
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2bo2bo57bo2bo2bo25bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bobo2bo2bo25bo2bo2bob
o2bo2bo17bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bobo2bo2bo9bo2bo2bobo2bo2bobo
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o2bo2bobo2bo2bo9bo2bo2bo25bo2bo2bo9bo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bob
o2bo2bo9bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo17bo2bo2bobo2bo2bobo2b
o2bo17bo2bo2bo9bo2bo2bo33bo2bo2bobo2bo2bobo2bo2bo17bo2bo2bobo2bo2bo25b
o2bo2bo25bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo9bo2bo2bobo2b
o2bobo2bo2bobo2bo2bobo2bo2bo9bo2bo2bobo2bo2bo49bo2bo2bobo2bo2bo9bo2bo
2bobo2bo2bobo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2bobo2bo2bobo2bo2bo
bo2bo2bobo2bo2bo25bo2bo2bo17bo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2b
obo2bo2bo17bo2bo2bobo2bo2bobo2bo2bobo2bo2bo17bo2bo2bobo2bo2bobo2bo2bob
o2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2bo25bo2bo2bobo2bo2bo17bo2bo2bo9bo2bo2b
o9bo2bo2bobo2bo2bo17bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2b
obo2bo2bo41bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bobo2bo2bo9bo2bo2bo33bo2bo2b
obo2bo2bobo2bo2bo17bo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bo25bo2bo2bo25bo2bo
2bobo2bo2bo9bo2bo2bo17bo2bo2bo9bo2bo2bobo2bo2bobo2bo2bo33bo2bo2bobo2bo
2bo9bo2bo2bo25bo2bo2bo25bo2bo2bobo2bo2bo33bo2bo2bo9bo2bo2bobo2bo2bobo
2bo2bo9bo2bo2bo17bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bo25b
o2bo2bobo2bo2bo17bo2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2bobo2bo2bobo2bo2bobo
2bo2bo9bo2bo2bobo2bo2bo17bo2bo2bo9bo2bo2bo25bo2bo2bobo2bo2bobo2bo2bo9b
o2bo2bobo2bo2bobo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2bobo2bo2bobo2bo2bobo2bo
2bobo2bo2bo9bo2bo2bo49bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo
bo2bo2bobo2bo2bo17bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo9bo
2bo2bobo2bo2bo41bo2bo2bo25bo2bo2bobo2bo2bobo2bo2bobo2bo2bo17bo2bo2bo
17bo2bo2bobo2bo2bobo2bo2bo25bo2bo2bobo2bo2bobo2bo2bo17bo2bo2bo9bo2bo2b
o9bo2bo2bo17bo2bo2bo9bo2bo2bo17bo2bo2bo57bo2bo2bobo2bo2bo9bo2bo2bo9bo
2bo2bo17bo2bo2bobo2bo2bobo2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2bo9bo2bo2bo
33bo2bo2bobo2bo2bo9bo2bo2bobo2bo2bobo2bo2bo9bo2bo2bo17bo2bo2bobo2bo2bo
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13bobo13bobo5bobo5bobo5bobo13bobo5bobo5bobo5bobo13bobo37bobo21bobo21bo
bo5bobo5bobo21bobo5bobo21bobo13bobo13bobo5bobo5bobo5bobo5bobo21bobo5bo
bo13bobo5bobo13bobo5bobo29bobo29bobo13bobo13bobo21bobo5bobo5bobo13bobo
5bobo5bobo29bobo29bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bo
bo5bobo13bobo5bobo5bobo45bobo29bobo5bobo5bobo13bobo13bobo21bobo5bobo5b
obo5bobo5bobo13bobo5bobo5bobo13bobo13bobo21bobo21bobo13bobo5bobo5bobo
5bobo21bobo5bobo5bobo5bobo5bobo13bobo13bobo5bobo45bobo5bobo21bobo5bobo
13bobo45bobo5bobo21bobo21bobo5bobo5bobo29bobo37bobo13bobo13bobo5bobo5b
obo5bobo13bobo29bobo5bobo5bobo37bobo5bobo21bobo5bobo45bobo13bobo5bobo
13bobo5bobo29bobo5bobo5bobo13bobo5bobo5bobo13bobo13bobo13bobo5bobo5bob
o5bobo5bobo13bobo5bobo5bobo21bobo13bobo5bobo5bobo21bobo5bobo69bobo5bob
o5bobo5bobo21bobo5bobo13bobo5bobo5bobo5bobo21bobo13bobo21bobo5bobo5bob
o5bobo5bobo5bobo13bobo5bobo5bobo5bobo13bobo13bobo45bobo29bobo5bobo5bob
o13bobo5bobo5bobo21bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo13bobo
29bobo5bobo21bobo13bobo5bobo5bobo29bobo5bobo13bobo37bobo5bobo13bobo37b
obo13bobo5bobo5bobo29bobo29bobo5bobo21bobo5bobo5bobo5bobo5bobo5bobo5bo
bo13bobo5bobo5bobo5bobo21bobo5bobo5bobo37bobo5bobo5bobo21bobo5bobo61bo
bo5bobo5bobo5bobo5bobo21bobo5bobo5bobo5bobo5bobo5bobo5bobo61bobo5bobo
5bobo5bobo5bobo5bobo5bo2bo$3bo7bo7bo7bo23bo23bo15bo31bo7bo7bo15bo7bo
15bo15bo15bo7bo7bo7bo23bo39bo23bo7bo7bo7bo7bo7bo7bo15bo7bo7bo7bo7bo15b
o7bo7bo47bo7bo23bo7bo7bo15bo39bo7bo7bo7bo31bo7bo15bo15bo47bo23bo15bo7b
o15bo7bo7bo15bo15bo7bo7bo7bo7bo31bo7bo31bo7bo15bo23bo7bo15bo7bo7bo31bo
15bo7bo15bo15bo7bo7bo7bo31bo23bo31bo23bo7bo71bo23bo23bo7bo15bo23bo23bo
23bo7bo15bo7bo7bo7bo7bo15bo23bo15bo7bo15bo7bo7bo7bo15bo15bo7bo7bo7bo
15bo7bo71bo7bo7bo7bo7bo15bo7bo15bo7bo7bo7bo7bo15bo15bo31bo15bo7bo7bo
15bo7bo7bo7bo7bo7bo15bo15bo15bo47bo15bo15bo15bo15bo7bo7bo7bo15bo15bo7b
o7bo15bo63bo7bo7bo15bo7bo7bo15bo7bo7bo7bo15bo7bo7bo7bo23bo15bo15bo23bo
7bo7bo7bo15bo39bo15bo7bo7bo15bo7bo7bo31bo7bo15bo15bo7bo7bo7bo7bo15bo
23bo7bo23bo7bo7bo7bo7bo23bo23bo7bo47bo7bo39bo71bo7bo7bo39bo15bo7bo7bo
47bo15bo7bo23bo15bo15bo7bo7bo23bo7bo7bo7bo15bo7bo7bo23bo23bo7bo7bo15bo
7bo23bo23bo23bo15bo15bo23bo15bo7bo7bo63bo31bo15bo7bo7bo7bo31bo15bo15bo
7bo15bo23bo15bo7bo7bo31bo7bo7bo15bo31bo7bo23bo7bo23bo31bo7bo7bo15bo31b
o15bo7bo7bo7bo23bo15bo7bo15bo7bo15bo7bo7bo23bo7bo7bo7bo7bo31bo15bo47bo
15bo15bo31bo7bo7bo7bo15bo23bo7bo15bo23bo15bo23bo7bo7bo15bo7bo23bo7bo7b
o31bo15bo23bo7bo7bo15bo7bo15bo15bo7bo31bo23bo15bo7bo7bo31bo23bo7bo31bo
7bo7bo7bo15bo23bo7bo7bo31bo15bo39bo15bo7bo15bo55bo15bo15bo15bo7bo31bo
15bo15bo23bo39bo7bo39bo15bo7bo7bo7bo31bo7bo15bo7bo7bo15bo31bo15bo7bo
23bo15bo15bo7bo31bo7bo7bo7bo15bo15bo23bo31bo23bo7bo23bo47bo47bo7bo15bo
7bo39bo23bo7bo23bo7bo7bo7bo7bo7bo7bo31bo7bo23bo7bo7bo7bo7bo23bo7bo7bo
7bo7bo95bo7bo7bo7bo7bo39bo7bo7bo7bo7bo23bo7bo31bo7bo39bo7bo7bo7bo7bo7b
o7bo23bo23bo7bo7bo7bo7bo7bo15bo7bo23bo7bo15bo31bo7bo39bo47bo23bo7bo7bo
31bo7bo15bo7bo7bo15bo15bo15bo15bo7bo23bo7bo7bo15bo7bo23bo7bo15bo7bo15b
o15bo55bo7bo23bo7bo15bo23bo23bo7bo23bo15bo7bo7bo7bo47bo23bo15bo15bo7bo
15bo15bo15bo23bo55bo31bo15bo55bo15bo7bo31bo31bo7bo47bo7bo7bo7bo15bo47b
o7bo15bo15bo7bo7bo7bo7bo23bo15bo7bo23bo7bo23bo23bo15bo23bo39bo7bo15bo
7bo15bo15bo7bo7bo7bo7bo7bo15bo7bo15bo23bo39bo15bo7bo7bo7bo7bo15bo7bo
23bo7bo7bo7bo7bo7bo15bo7bo23bo23bo31bo7bo15bo23bo31bo39bo7bo7bo39bo15b
o7bo55bo15bo31bo15bo23bo31bo7bo7bo7bo15bo15bo23bo7bo23bo23bo7bo15bo7bo
63bo31bo7bo15bo7bo7bo31bo7bo23bo7bo15bo7bo7bo15bo7bo7bo7bo31bo31bo15bo
7bo23bo7bo7bo7bo15bo31bo15bo15bo7bo15bo7bo15bo7bo7bo7bo7bo23bo7bo7bo
23bo15bo39bo7bo7bo23bo7bo31bo31bo7bo7bo7bo7bo7bo15bo7bo7bo7bo7bo15bo7b
o55bo7bo15bo7bo7bo7bo15bo15bo15bo7bo7bo7bo7bo31bo23bo15bo7bo15bo15bo7b
o23bo7bo7bo7bo23bo7bo7bo7bo15bo15bo15bo31bo7bo23bo15bo15bo7bo23bo7bo
15bo7bo15bo15bo7bo47bo7bo15bo7bo7bo15bo39bo7bo7bo23bo15bo7bo15bo31bo
31bo7bo15bo23bo15bo7bo7bo39bo7bo15bo31bo31bo7bo39bo15bo7bo7bo15bo23bo
7bo15bo7bo15bo7bo31bo7bo23bo15bo15bo15bo7bo7bo7bo15bo7bo23bo15bo31bo7b
o7bo15bo7bo7bo7bo15bo15bo7bo7bo7bo7bo15bo55bo7bo7bo7bo7bo7bo7bo7bo23bo
7bo7bo7bo7bo7bo15bo7bo47bo31bo7bo7bo7bo23bo23bo7bo7bo31bo7bo7bo23bo15b
o15bo23bo15bo23bo63bo7bo15bo15bo23bo7bo7bo15bo15bo15bo15bo39bo7bo15bo
7bo7bo15bo23bo7bo7bo7bo7bo23bo39bo39bo7bo7bo7bo7bo15bo23bo7bo15bo7bo
15bo7bo7bo23bo7bo23bo31bo15bo7bo7bo31bo23bo15bo23bo7bo7bo7bo23bo15bo7b
o7bo15bo7bo15bo7bo39bo39bo15bo7bo7bo7bo7bo23bo23bo7bo7bo7bo7bo23bo7bo
23bo7bo47bo7bo15bo15bo7bo47bo15bo7bo7bo7bo15bo23bo7bo7bo7bo7bo31bo31bo
31bo15bo7bo7bo7bo23bo7bo15bo15bo7bo15bo7bo15bo15bo7bo7bo7bo15bo7bo7bo
7bo15bo39bo23bo23bo7bo7bo23bo7bo23bo15bo15bo7bo7bo7bo7bo23bo7bo15bo7bo
15bo7bo31bo31bo15bo15bo23bo7bo7bo15bo7bo7bo31bo31bo7bo7bo7bo7bo7bo7bo
7bo7bo7bo7bo7bo15bo7bo7bo47bo31bo7bo7bo15bo15bo23bo7bo7bo7bo7bo15bo7bo
7bo15bo15bo23bo23bo15bo7bo7bo7bo23bo7bo7bo7bo7bo15bo15bo7bo47bo7bo23bo
7bo15bo47bo7bo23bo23bo7bo7bo31bo39bo15bo15bo7bo7bo7bo15bo31bo7bo7bo39b
o7bo23bo7bo47bo15bo7bo15bo7bo31bo7bo7bo15bo7bo7bo15bo15bo15bo7bo7bo7bo
7bo15bo7bo7bo23bo15bo7bo7bo23bo7bo71bo7bo7bo7bo23bo7bo15bo7bo7bo7bo23b
o15bo23bo7bo7bo7bo7bo7bo15bo7bo7bo7bo15bo15bo47bo31bo7bo7bo15bo7bo7bo
23bo7bo7bo7bo7bo7bo7bo7bo7bo15bo31bo7bo23bo15bo7bo7bo31bo7bo15bo39bo7b
o15bo39bo15bo7bo7bo31bo31bo7bo23bo7bo7bo7bo7bo7bo7bo15bo7bo7bo7bo23bo
7bo7bo39bo7bo7bo23bo7bo63bo7bo7bo7bo7bo23bo7bo7bo7bo7bo7bo7bo63bo7bo7b
o7bo7bo7bo7bo!

Please share further ideas in this dedicated thread!

[yujh]

general ship making looks like this, where green is the replicators, and white is some small common glider stream.

Code: Select all

x = 36, y = 36, rule = LifeHistory
8.C$7.3C.4A$6.C.C.C2A$8.C2.A.A$11.A2.A$8.C6.A$2.C13.A$.C6.C8.A$4C.C.C.C.C.C.C.C$.C6.C10.4A$2.C16.2A$.4A3.C10.A.A$.2A16.A2.A$.A.A4.C14.A$.A2.A19.A$5.A2.C16.A$6.A18.C$7.AC18.4A$25.C.2A$9.4A14.A.A$9.2A14.C.A2.A$9.A.A19.A$9.A2.A12.C6.A$13.A19.C$14.A10.C8.C$15.AC.C.C.C.C.C.C.C.4C$25.C8.C$17.4A12.C$17.2A6.C$17.A.A$17.A2.A4.C$21.A$22.A2.C$23.C.C.C$24.3C$25.C!
#C [[ THUMBNAIL ]]

In case you find a still life that can be pushed or dragged like the blinker used in the highlife bomber, it will save a lot of cells.
For rule 90 replicators i think you can just search this rule for 1c/n ships or if you have a front and back supported by still lives you can just use any speed.

Code: Select all

x = 3, y = 27, rule = B2c3a6ac7e/S1e2cik3ejnr4i
bo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$obo$3o$obo$obo$obo$3o$
obo$obo$obo$obo$obo$obo$obo$obo$o!

[toroidalet]

To expand on what people have said, in order to make a replicator-based spaceship[a] the first step is to use brute force to find a reaction creating a glider[‎b], a way for a glider to delete a replicator, and as many ways as possible for a replicator unit to cleanly delete the junk from the one ahead[c]. Usually, you would want the spaceship to be glide-symmetric because that cuts down on work (and once one half works you know the other half will too), but in some cases that may not be possible[d]. Alternatively, you can use a different method developed by FWKnightship (see here).
After that, you can make a replicator spaceship by using the different deletion reactions to line the replicator units up with the gliders so they are cleaned up.

Most spaceships made are generally (replicator's speed)/3 because the higher period replicator units are much bigger; most of them are constructed in rules with a push or pull reaction or escort spaceships.

[a]: By which we mean one that travels at a different speed; if it went at the same speed it would be a cordership.
[b‎]: Or really any ship travelling in a different direction. Small diagonal ships are the most common, but they don't have to be.
[c]: It's important to get ones with the replicators far apart and close together, as well as ones with different relative phases. The more you can find, the better.
[d]: For example, the spaceship could be oblique, odd period, or the forward glider stream might be too tight for them to pass through each other. In the latter cases, this can be fixed by doubling the replicator period, or you can use FWKnightship's method.

[atavoidirc]

are there any known non p2 phoenixes in INT rules?

[hotdogPi]

are there any known non p2 phoenixes in INT rules?

Yes. In fact, outer-totalistic has them. A p4 from Seeds:

Code: Select all

x = 4, y = 4, rule = B2/S
3bo$b2o$b2o$o!

[HotWheels9232]

What is the rule (no MAP or RuleLoader allowed) with the methuselah with the largest L/I or L/MCPS or the F/I or any of these(no trivial methuselahs allowed)? This reminded me pf 38life so I got 99039M L/I=99039/8

Code: Select all

x = 7, y = 39, rule = B35y/S2-n35k6ci
obo$bo$bo35$5bo$4b3o!

I am most interested in L/I but others are welcome.
Notes and Credits:
99039M by HotWheels9232(yes, that's me)
Of course there is a methuselah that beats it but the rule is still 38life although I still want to see it if it still is 38life, 139205M by dani
Edit N:Added Notes and Credits stuff

[toroidalet]

To my knowledge, the record for F/I is this pattern, with an F/I value of about 2.41*10^20 (note that while the 2-cell record has a similar FIG, it grows faster and has a smaller initial population). However, I was unable to run the following pattern to completion, but if it stabilizes it is much higher:

Code: Select all

x = 11, y = 9, rule = B2c3-i4567/S3-r4-t5-enq6-an78
2bo7bo$ob2o2bo2b2o$2b2ob2obobo$3b2o3b2o$3b3o3bo$2bo4b2obo$b2o2bo$2bo2b
o3b2o$3bo2bo2b2o!

For the other two, I believe the record to be the third pattern from here, which lasts more than 2^(2^50) generations, much longer than 10^(3.3*10^11). Technically, the true winner is generation 5 of that pattern, with a population of 10 and MCPS 15:

Code: Select all

x = 11, y = 11, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
6b5o6$o$o$o$o$o!

It also has trivial tetrational patterns like the following (note: due to modular arithmetic issues the duoplet might have to be in a different position):

Code: Select all

x = 7, y = 14, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
b5o4$2o2$5b2o4$5b2o2$3bo$2bo!

Note: I may have missed a better pattern which was not made by me. I don't think there are any on the forums (no one has really looked for them), but I am not on the Discord. If someone has a better example, I would like to know about it.

Of course, the definition of "trivial" is actually very nontrivial (I assume you mean roughly patterns such as a glider hitting a block or Pavgran et al's tetrational diehard, which can be trivially lengthened as much as you like), as we still have many busy beaver Turing machines and simple patterns which generate a fixed member of a "trivial family" (many busy beavers are of this form). Or perhaps the true record is a blob of chaos which magically settles after an unimaginable time for no reason whatsoever, or something even more bizarre.

[HotWheels9232]

To my knowledge, the record for F/I is this pattern, with an F/I value of about 2.41*10^20 (note that while the 2-cell record has a similar FIG, it grows faster and has a smaller initial population). However, I was unable to run the following pattern to completion, but if it stabilizes it is much higher:

Code: Select all

x = 11, y = 9, rule = B2c3-i4567/S3-r4-t5-enq6-an78
2bo7bo$ob2o2bo2b2o$2b2ob2obobo$3b2o3b2o$3b3o3bo$2bo4b2obo$b2o2bo$2bo2b
o3b2o$3bo2bo2b2o!

For the other two, I believe the record to be the third pattern from here, which lasts more than 2^(2^50) generations, much longer than 10^(3.3*10^11). Technically, the true winner is generation 5 of that pattern, with a population of 10 and MCPS 15:

Code: Select all

x = 11, y = 11, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
6b5o6$o$o$o$o$o!

It also has trivial tetrational patterns like the following (note: due to modular arithmetic issues the duoplet might have to be in a different position):

Code: Select all

x = 7, y = 14, rule = B2ei3cikqr4aetz5cr6i/S1e2k3y
b5o4$2o2$5b2o4$5b2o2$3bo$2bo!

Note: I may have missed a better pattern which was not made by me. I don't think there are any on the forums (no one has really looked for them), but I am not on the Discord. If someone has a better example, I would like to know about it.

Of course, the definition of "trivial" is actually very nontrivial (I assume you mean roughly patterns such as a glider hitting a block or Pavgran et al's tetrational diehard, which can be trivially lengthened as much as you like), as we still have many busy beaver Turing machines and simple patterns which generate a fixed member of a "trivial family" (many busy beavers are of this form). Or perhaps the true record is a blob of chaos which magically settles after an unimaginable time for no reason whatsoever, or something even more bizarre.

How about just 38life and not all these crazy ruels?
Edit 1:
Another one:
Is B2n35y6-i/S23 explosive?

[yujh]

How about just 38life and not all these crazy ruels?
Edit 1:
Another one:
Is B2n35y6-i/S23 explosive?

1. Nobody cares.
2. Yes, B2n35y6-i/S23 is obviously an explosive rule.
3. You can run apgsearch on a rule you want and enable it to detect methuselahs. But I am not sure if that will crash your computer or not, so be careful. You just need to remove every line limiting things to CGOL in includes/searcher.H (I might have misremembered this). Also it will be slower than usual.