## 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$4b2o! 0-degree square Q-class replicator and its related S-class: x = 1, y = 1, rule = B1c/So! x = 3, y = 1, rule = B1c/Sobo! 2c/n spaceships project Current priorities: see here muzik Posts: 2651 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: 2D Replicator Classes muzik wrote:0-degree square Q-class replicator and its related S-class: x = 1, y = 1, rule = B1c/So! x = 3, y = 1, rule = B1c/Sobo! Also, this S-to-S transformation: x = 225, y = 13, rule = B1c/S210bobobobobobobobo4$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

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### Re: 2D Replicator Classes

My signature is a D class, look closely at the debris and you will see clones in it.
Replicator!
x = 3, y = 3, rule = B3/S234y2bo$3o$bo!

wwei23

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### 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!
I have the best signature ever.

toroidalet

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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.

Funny that I've been trying to tell him/her/it this. Do 1D replicators also have different classes?
x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo! (Check gen 2) Saka Posts: 2316 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X ### 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. Replicator! x = 3, y = 3, rule = B3/S234y2bo$3o$bo! wwei23 Posts: 642 Joined: May 22nd, 2017, 6:14 pm Location: The (Life?) Universe ### 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. 2c/n spaceships project Current priorities: see here muzik Posts: 2651 Joined: January 28th, 2016, 2:47 pm 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? Replicator! x = 3, y = 3, rule = B3/S234y2bo$3o$bo! wwei23 Posts: 642 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: 1506 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).
I have the best signature ever.

toroidalet

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### 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?
Replicator!
x = 3, y = 3, rule = B3/S234y2bo$3o$bo!

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:
- An Isotropic version of All_Speeds
- Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y
- Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules)
AforAmpere

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### 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.
Replicator!
x = 3, y = 3, rule = B3/S234y2bo$3o$bo!

wwei23

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Joined: May 22nd, 2017, 6:14 pm
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! I have the best signature ever. toroidalet Posts: 827 Joined: August 7th, 2016, 1:48 pm Location: Somewhere on a planet called "Earth" ### 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. Replicator! x = 3, y = 3, rule = B3/S234y2bo$3o$bo! wwei23 Posts: 642 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!
2c/n spaceships project

Current priorities: see here
muzik

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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: - An Isotropic version of All_Speeds - Find more ships in B2ek3-ajny4ajqr5a/S02ack3ackny4aq5y - Find a (3,1)c/5 ship in a Non-totalistic rule (someone please search the rules) AforAmpere Posts: 343 Joined: July 1st, 2016, 3:58 pm ### Re: 2D Replicator Classes Class U: x = 3, y = 1, rule = B2-ek/Sobo! Replicator! x = 3, y = 3, rule = B3/S234y2bo$3o$bo! wwei23 Posts: 642 Joined: May 22nd, 2017, 6:14 pm Location: The (Life?) Universe ### 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. Everyone, please stop posting B/S about CA 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

Class S (class D without B6n transition):
x = 7, y = 4, rule = B34jy6n/S2-i32b3o$bo3bo$o5bo$b2ob2o! x = 26, y = 25, rule = B34jy6n/S2-i32b3o16b3o$bo3bo14bo3bo$o5bo12bo5bo$b2ob2o14b2ob2o18$b2ob2o$o5bo$bo3bo$2b3o!
(Not quite sure whether the tripling is done correctly)

BTW, what exactly distinguishes class R from S?
M. I. Wright

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### Re: 2D Replicator Classes

M. I. Wright wrote:Class S (class D without B6n transition):
x = 7, y = 4, rule = B34jy6n/S2-i32b3o$bo3bo$o5bo$b2ob2o! x = 26, y = 25, rule = B34jy6n/S2-i32b3o16b3o$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.
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muzik

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### 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.
M. I. Wright

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### 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.
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toroidalet

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### Re: 2D Replicator Classes

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