## 2D Replicator Classes

For discussion of other cellular automata.

### Re: 2D Replicator Classes

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:

x = 1, y = 1, rule = B1357/S1357o!

EDIT: the answer seems to be yes:
x = 6, y = 6, rule = B2a/S3a4a2o$2o3$4b2o$4b2o! 0-degree square Q-class replicator and its related S-class: x = 1, y = 1, rule = B1c/So! x = 3, y = 1, rule = B1c/Sobo! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3248 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: 2D Replicator Classes muzik wrote:0-degree square Q-class replicator and its related S-class: x = 1, y = 1, rule = B1c/So! x = 3, y = 1, rule = B1c/Sobo! Also, this S-to-S transformation: x = 225, y = 13, rule = B1c/S210bobobobobobobobo4$obo93bobobobo107bobo5bobo4$96bobo119bobobobo4$218bobo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

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Location: 0x-1

### Re: 2D Replicator Classes

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

wwei23

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Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: 2D Replicator Classes

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:
x = 3, y = 1, rule = B2ai4i5i/S1e2a6i3o!

Class Q:
x = 3, y = 3, rule = B2a/S2a3n2o$obo$b2o!

Related class-Q:
x = 3, y = 3, rule = B2a/S2an3n2o$obo$b2o!

whatever they call this (R?):
x = 3, y = 3, rule = B2a/S2a3cn2o$obo$b2o!
x = 4, y = 2, rule = B3/S23ob2o$2obo! (Check Gen 2) toroidalet Posts: 912 Joined: August 7th, 2016, 1:48 pm Location: my computer ### Re: 2D Replicator Classes 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? If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

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### Re: 2D Replicator Classes

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:
x = 1095, y = 1123, rule = B3/S234yHistory363.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.D8$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.

wwei23

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### Re: 2D Replicator Classes

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.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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Location: Scotland

### Re: 2D Replicator Classes

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?

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: 2D Replicator Classes

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:
x = 1095, y = 1123, rule = B3/S234yHistory363.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.D8$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.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

A for awesome

Posts: 1730
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: 2D Replicator Classes

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:
x = 17, y = 17, rule = B34ey/S235e14b3o$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). x = 4, y = 2, rule = B3/S23ob2o$2obo!

(Check Gen 2)

toroidalet

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Location: my computer

### Re: 2D Replicator Classes

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?

wwei23

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Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: 2D Replicator Classes

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.
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

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Joined: July 1st, 2016, 3:58 pm

### Re: 2D Replicator Classes

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.

wwei23

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Location: The (Life?) Universe

### Re: 2D Replicator Classes

wwei23 wrote:Because the pattern tries to grow exponentially, but fails. Is that understood?

x = 2, y = 5, rule = B2cek3ai4t/S02co2$bo2$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:
x = 4, y = 4, rule = B2ac3e/S1e5i3bo$3bo$o$o! Class S: x = 10, y = 10, rule = B3-cky4e6c8/S23-e4e3o$3o$3o5$7b3o$7b3o$7b3o!

x = 32, y = 38, rule = B3-cky4e6c8/S23-e4e8b3o$8b3o$8b3o4$4b2o$3b3o9b3o$3bo11b3o$b2o12b3o$2o$2o$10b2o$10b2o$9b2o11b3o$8bo13b3o$6b3o13b3o$6b2o3$18b2o$17b3o9b3o$17bo11b3o$15b2o12b3o$14b2o$14b2o$24b2o$24b2o$8b3o12b2o$8b3o11bo$8b3o9b3o$20b2o4$15b3o$15b3o$15b3o! x = 4, y = 2, rule = B3/S23ob2o$2obo!

(Check Gen 2)

toroidalet

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Location: my computer

### Re: 2D Replicator Classes

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.

wwei23

Posts: 935
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: 2D Replicator Classes

toroidalet wrote:Here's a replicator that I don't know which class it goes under:
x = 4, y = 4, rule = B2ac3e/S1e5i3bo$3bo$o$o! Seems to resemble a S, although I'm not completely sure. Also, congrats on finding the second known rhomblicator! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3248 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: 2D Replicator Classes Class S in a Bugs R6 Variant: x = 14, y = 14, rule = R6,C0,M1,S47..81,B47..61,NM7bo$4b6o$2b6ob2o$b6o3b2o$6o5b2o$5o7bo$5o6b3o$5o5b3o$b5o3b4o$2b11o$3b9o$4b8o$5b6o$6b4o!

x = 105, y = 62, rule = R6,C0,M1,S47..81,B47..61,NM50bo$47b6o$45b6ob2o$44b6o3b2o$43b6o5b2o$43b5o7bo$43b5o6b3o$43b5o5b3o$44b5o3b4o$45b11o$46b9o$47b8o$48b6o$49b4o30$4b4o$3b6o$2b8o$2b9o$b11o$b4o3b5o85bo$b3o5b5o81b6o$3o6b5o79b6ob2o$bo7b5o78b6o3b2o$b2o5b6o77b6o5b2o$2b2o3b6o78b5o7bo$3b2ob6o79b5o6b3o$4b6o81b5o5b3o$6bo85b5o3b4o$93b11o$94b9o$95b8o$96b6o$97b4o!
Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule (someone please search the rules)
- Find a C/10 in JustFriends
- Find a C/10 in Day and Night
AforAmpere

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Joined: July 1st, 2016, 3:58 pm

### Re: 2D Replicator Classes

Class U:
x = 3, y = 1, rule = B2-ek/Sobo!

wwei23

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### Re: 2D Replicator Classes

wwei23 wrote:Class U:
x = 3, y = 1, rule = B2-ek/Sobo!

I posted this on page 1 in another phase.
If you're the person that uploaded to Sakagolue illegally, please PM me.
x = 26, y = 25, rule = B34jy6n/S2-i32b3o16b3o$bo3bo14bo3bo$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. Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3248 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: 2D Replicator Classes Aha, I see. "Rectangle only" makes sense now. [EDIT: not] Class A: x = 11, y = 11, rule = B3-q7c/S2-i3-q4q5bo$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. gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' M. I. Wright Posts: 371 Joined: June 13th, 2015, 12:04 pm ### Re: 2D Replicator Classes M. I. Wright wrote:Class A: 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. x = 4, y = 2, rule = B3/S23ob2o$2obo!

(Check Gen 2)

toroidalet

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### Re: 2D Replicator Classes

What class is this?:
x = 2, y = 3, rule = B2-a4aint/S16cibo$o$bo!
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

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### Re: 2D Replicator Classes

drc wrote:What class is this?:
x = 2, y = 3, rule = B2-a4aint/S16cibo$o$bo!

That's actually a spacefiller.
Gamedziner

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