2D Replicator Classes

For discussion of other cellular automata.
User avatar
muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Post by muzik » August 13th, 2017, 3:16 pm

Can the trick detailed in the post above be applied to all Q-class replicators to turn them into S-class replicators?

Also, how about a new class? Class O (octuple), the form currently only known to be exhibited by replicators found in the Replicator rule, following the sequence A160239:

Code: Select all

x = 1, y = 1, rule = B1357/S1357
o!
EDIT: the answer seems to be yes:

Code: Select all

x = 6, y = 6, rule = B2a/S3a4a
2o$2o3$4b2o$4b2o!
0-degree square Q-class replicator and its related S-class:

Code: Select all

x = 1, y = 1, rule = B1c/S
o!

Code: Select all

x = 3, y = 1, rule = B1c/S
obo!

User avatar
praosylen
Posts: 2443
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

Re: 2D Replicator Classes

Post by praosylen » August 13th, 2017, 5:59 pm

muzik wrote:0-degree square Q-class replicator and its related S-class:

Code: Select all

x = 1, y = 1, rule = B1c/S
o!

Code: Select all

x = 3, y = 1, rule = B1c/S
obo!
Also, this S-to-S transformation:

Code: Select all

x = 225, y = 13, rule = B1c/S
210bobobobobobobobo4$obo93bobobobo107bobo5bobo4$96bobo119bobobobo4$
218bobo!
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 18th, 2017, 8:40 pm

My signature is a D class, look closely at the debris and you will see clones in it.

User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: 2D Replicator Classes

Post by toroidalet » August 18th, 2017, 9:36 pm

wwei23 wrote:My signature is a D class, look closely at the debris and you will see clones in it.
No, it's not a D, and it's not a replicator. It doesn't replicate in an organized fashion, which is one of the criteria for any sort of replicator.
Class R replicator:

Code: Select all

x = 3, y = 1, rule = B2ai4i5i/S1e2a6i
3o!
Class Q:

Code: Select all

x = 3, y = 3, rule = B2a/S2a3n
2o$obo$b2o!
Related class-Q:

Code: Select all

x = 3, y = 3, rule = B2a/S2an3n
2o$obo$b2o!
whatever they call this (R?):

Code: Select all

x = 3, y = 3, rule = B2a/S2a3cn
2o$obo$b2o!
Any sufficiently advanced software is indistinguishable from malice.

User avatar
Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

Re: 2D Replicator Classes

Post by Saka » August 18th, 2017, 9:59 pm

toroidalet wrote:
wwei23 wrote:My signature is a D class, look closely at the debris and you will see clones in it.
No, it's not a D, and it's not a replicator. It doesn't replicate in an organized fashion, which is one of the criteria for any sort of replicator.
Funny that I've been trying to tell him/her/it this. Do 1D replicators also have different classes?

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 19th, 2017, 9:12 am

toroidalet wrote:
wwei23 wrote:My signature is a D class, look closely at the debris and you will see clones in it.
No, it's not a D, and it's not a replicator. It doesn't replicate in an organized fashion, which is one of the criteria for any sort of replicator.
Sure it is:

Code: Select all

x = 1095, y = 1123, rule = B3/S234yHistory
363.A$361.3A$362.A381$.D$2D$.2D91$1093.D$1093.2D$1092.2D27$972.D$972.
3D$973.D28$886.D$886.3D$887.D26$817.D$817.3D$818.D57$422.D$421.2D$
422.2D8$937.D$937.2D$936.2D5$455.2D$454.2D$455.D20$816.D$816.3D$817.D
8$737.D$737.3D$738.D115$781.D$781.2D$780.2D330$755.D$753.3D$754.D!
It emits another R-pentomino at regular intervals, which emit R-pentominos at regular intervals. Just run it for long enough. Also, the third tier R-pentominos crash into the debris from the second tier R-pentominoes. It's EXTREMELY DIRTY. Is that clouding you? Also, it's oblique!
Last edited by wwei23 on August 19th, 2017, 9:16 am, edited 1 time in total.

User avatar
muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Post by muzik » August 19th, 2017, 9:14 am

It technically could be realized as an absolutely filthy and unconventional replicator, I guess. If you can find such a thing that doesn't produce ridiculous amounts of ash, I'd be pretty interested.

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 19th, 2017, 9:31 am

Well, if you run it for 15000 generations, there's a part that periodically produces a LWSS, only to have it smash into another trail of debris. Does an orthogonal spaceship ever get out?

User avatar
praosylen
Posts: 2443
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

Re: 2D Replicator Classes

Post by praosylen » August 19th, 2017, 10:14 am

wwei23 wrote:
toroidalet wrote:
wwei23 wrote:My signature is a D class, look closely at the debris and you will see clones in it.
No, it's not a D, and it's not a replicator. It doesn't replicate in an organized fashion, which is one of the criteria for any sort of replicator.
Sure it is:

Code: Select all

x = 1095, y = 1123, rule = B3/S234yHistory
363.A$361.3A$362.A381$.D$2D$.2D91$1093.D$1093.2D$1092.2D27$972.D$972.
3D$973.D28$886.D$886.3D$887.D26$817.D$817.3D$818.D57$422.D$421.2D$
422.2D8$937.D$937.2D$936.2D5$455.2D$454.2D$455.D20$816.D$816.3D$817.D
8$737.D$737.3D$738.D115$781.D$781.2D$780.2D330$755.D$753.3D$754.D!
It emits another R-pentomino at regular intervals, which emit R-pentominos at regular intervals. Just run it for long enough. Also, the third tier R-pentominos crash into the debris from the second tier R-pentominoes. It's EXTREMELY DIRTY. Is that clouding you? Also, it's oblique!
I agree — It's one of the more interesting replicators I've seen, in my opinion. Also, I don't believe that a replicator is required to replicate in an organized fashion; it only must replicate indefinitely.
former username: A for Awesome
praosylen#5847 (Discord)

The only decision I made was made
of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: 2D Replicator Classes

Post by toroidalet » August 19th, 2017, 11:15 am

wwei23 wrote:It emits another R-pentomino at regular intervals, which emit R-pentominos at regular intervals. Just run it for long enough. Also, the third tier R-pentominos crash into the debris from the second tier R-pentominoes. It's EXTREMELY DIRTY. Is that clouding you?
I actually have a problem with it because it's unconventional. So sue me.
Here's another dirty replicator:

Code: Select all

x = 17, y = 17, rule = B34ey/S235e
14b3o$14b3o$14b3o12$3o$3o$3o!
(The reason I think the one in B3/S234y doesn't qualify is that the second tier Rs don't die and the third tier ones always die).
Any sufficiently advanced software is indistinguishable from malice.

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 19th, 2017, 11:27 am

toroidalet wrote: (The reason I think the one in B3/S234y doesn't qualify is that the second tier Rs don't die and the third tier ones always die).
Because the pattern tries to grow exponentially, but fails. Is that understood?

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: 2D Replicator Classes

Post by AforAmpere » August 19th, 2017, 11:45 am

It still does not fall into the normal 2D replicator classes, if it can even be considered one. The way it grows is different from all other D-class replicators, and it makes sense to not classify it as such. It is some other type of 2D replicator.
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 19th, 2017, 11:47 am

AforAmpere wrote:It still does not fall into the normal 2D replicator classes, if it can even be considered one. The way it grows is different from all other D-class replicators, and it makes sense to not classify it as such. It is some other type of 2D replicator.
Did AbhpzTa really miss this new class? If AbhpzTa did, then that's really weird. Usually I assume that anything by AbhpzTa is optimal/complete. I also tend to assume that if AbhpzTa can't do it, then no one can.

User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: 2D Replicator Classes

Post by toroidalet » August 19th, 2017, 2:10 pm

wwei23 wrote:Because the pattern tries to grow exponentially, but fails. Is that understood?
The same could be said about this pattern:

Code: Select all

x = 2, y = 5, rule = B2cek3ai4t/S02c
o2$bo2$o!
The vertical puffers produce copies of themselves which collide with ships, destroying them. Is this a 2d replicator? (It certainly fails to grow exponentially, which you seem to imply is all being a failed replicator means.)
Here's a replicator that I don't know which class it goes under:

Code: Select all

x = 4, y = 4, rule = B2ac3e/S1e5i
3bo$3bo$o$o!
Class S:

Code: Select all

x = 10, y = 10, rule = B3-cky4e6c8/S23-e4e
3o$3o$3o5$7b3o$7b3o$7b3o!

Code: Select all

x = 32, y = 38, rule = B3-cky4e6c8/S23-e4e
8b3o$8b3o$8b3o4$4b2o$3b3o9b3o$3bo11b3o$b2o12b3o$2o$2o$10b2o$10b2o$9b2o
11b3o$8bo13b3o$6b3o13b3o$6b2o3$18b2o$17b3o9b3o$17bo11b3o$15b2o12b3o$
14b2o$14b2o$24b2o$24b2o$8b3o12b2o$8b3o11bo$8b3o9b3o$20b2o4$15b3o$15b3o
$15b3o!
Any sufficiently advanced software is indistinguishable from malice.

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 19th, 2017, 2:12 pm

toroidalet wrote:(It certainly fails to grow exponentially, which you seem to imply is all being a failed replicator means.)
No, that's not what I meant, it tries to grow exponentially. It's quadratic. Failed replicators don't really tend to have that property.

User avatar
muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Post by muzik » August 19th, 2017, 2:30 pm

toroidalet wrote:Here's a replicator that I don't know which class it goes under:

Code: Select all

x = 4, y = 4, rule = B2ac3e/S1e5i
3bo$3bo$o$o!
Seems to resemble a S, although I'm not completely sure.

Also, congrats on finding the second known rhomblicator!

AforAmpere
Posts: 1334
Joined: July 1st, 2016, 3:58 pm

Re: 2D Replicator Classes

Post by AforAmpere » August 19th, 2017, 4:17 pm

Class S in a Bugs R6 Variant:

Code: Select all

x = 14, y = 14, rule = R6,C0,M1,S47..81,B47..61,NM
7bo$4b6o$2b6ob2o$b6o3b2o$6o5b2o$5o7bo$5o6b3o$5o5b3o$b5o3b4o$2b11o$3b9o
$4b8o$5b6o$6b4o!

Code: Select all

x = 105, y = 62, rule = R6,C0,M1,S47..81,B47..61,NM
50bo$47b6o$45b6ob2o$44b6o3b2o$43b6o5b2o$43b5o7bo$43b5o6b3o$43b5o5b3o$
44b5o3b4o$45b11o$46b9o$47b8o$48b6o$49b4o30$4b4o$3b6o$2b8o$2b9o$b11o$b
4o3b5o85bo$b3o5b5o81b6o$3o6b5o79b6ob2o$bo7b5o78b6o3b2o$b2o5b6o77b6o5b
2o$2b2o3b6o78b5o7bo$3b2ob6o79b5o6b3o$4b6o81b5o5b3o$6bo85b5o3b4o$93b11o
$94b9o$95b8o$96b6o$97b4o!
I manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. I also wrote EPE, a tool for searching in the INT rulespace.

Things to work on:
- Find (7,1)c/8 and 9c/10 ships in non-B0 INT.
- EPE improvements.

wwei23

Re: 2D Replicator Classes

Post by wwei23 » August 21st, 2017, 9:06 am

Class U:

Code: Select all

x = 3, y = 1, rule = B2-ek/S
obo!

User avatar
Saka
Posts: 3627
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

Re: 2D Replicator Classes

Post by Saka » August 21st, 2017, 9:09 am

wwei23 wrote:Class U:

Code: Select all

x = 3, y = 1, rule = B2-ek/S
obo!
I posted this on page 1 in another phase.

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: 2D Replicator Classes

Post by M. I. Wright » August 22nd, 2017, 1:44 pm

Class S (class D without B6n transition):

Code: Select all

x = 7, y = 4, rule = B34jy6n/S2-i3
2b3o$bo3bo$o5bo$b2ob2o!

Code: Select all

x = 26, y = 25, rule = B34jy6n/S2-i3
2b3o16b3o$bo3bo14bo3bo$o5bo12bo5bo$b2ob2o14b2ob2o18$b2ob2o$o5bo$bo3bo$
2b3o!
(Not quite sure whether the tripling is done correctly)

BTW, what exactly distinguishes class R from S?

User avatar
muzik
Posts: 5612
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Post by muzik » August 22nd, 2017, 2:40 pm

M. I. Wright wrote:Class S (class D without B6n transition):

Code: Select all

x = 7, y = 4, rule = B34jy6n/S2-i3
2b3o$bo3bo$o5bo$b2ob2o!

Code: Select all

x = 26, y = 25, rule = B34jy6n/S2-i3
2b3o16b3o$bo3bo14bo3bo$o5bo12bo5bo$b2ob2o14b2ob2o18$b2ob2o$o5bo$bo3bo$
2b3o!
(Not quite sure whether the tripling is done correctly)

BTW, what exactly distinguishes class R from S?
The fact that you can't do what you just did right there.

M. I. Wright
Posts: 372
Joined: June 13th, 2015, 12:04 pm

Re: 2D Replicator Classes

Post by M. I. Wright » August 22nd, 2017, 3:41 pm

Aha, I see. "Rectangle only" makes sense now.
[EDIT: not] Class A:

Code: Select all

x = 11, y = 11, rule = B3-q7c/S2-i3-q4q
5bo$4b3o$3bo3bo$2bo5bo$bo7bo$2o7b2o$bo7bo$2bo5bo$3bo3bo$4b3o$5bo!
Last edited by M. I. Wright on August 27th, 2017, 10:12 pm, edited 1 time in total.

User avatar
toroidalet
Posts: 1514
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

Re: 2D Replicator Classes

Post by toroidalet » August 22nd, 2017, 8:08 pm

M. I. Wright wrote:Class A:

Code: Select all

quadgrowth
That's technically a space-filling replicator (Class F?) and occupies the fine line between dirty and true. It can't be class A because it replicates forever.
Any sufficiently advanced software is indistinguishable from malice.

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm

Re: 2D Replicator Classes

Post by drc » August 24th, 2017, 10:48 pm

What class is this?:

Code: Select all

x = 2, y = 3, rule = B2-a4aint/S16ci
bo$o$bo!

Gamedziner
Posts: 795
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

Re: 2D Replicator Classes

Post by Gamedziner » August 25th, 2017, 6:18 am

drc wrote:What class is this?:

Code: Select all

x = 2, y = 3, rule = B2-a4aint/S16ci
bo$o$bo!
That's actually a spacefiller.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

Post Reply