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2D Replicator Classes

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Re: 2D Replicator Classes

Postby 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:

x = 1, y = 1, rule = B1357/S1357
o!


EDIT: the answer seems to be yes:
x = 6, y = 6, rule = B2a/S3a4a
2o$2o3$4b2o$4b2o!


0-degree square Q-class replicator and its related S-class:
x = 1, y = 1, rule = B1c/S
o!

x = 3, y = 1, rule = B1c/S
obo!
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Re: 2D Replicator Classes

Postby A for awesome » August 13th, 2017, 5:59 pm

muzik wrote:0-degree square Q-class replicator and its related S-class:
x = 1, y = 1, rule = B1c/S
o!

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

Also, this S-to-S transformation:
x = 225, y = 13, rule = B1c/S
210bobobobobobobobo4$obo93bobobobo107bobo5bobo4$96bobo119bobobobo4$
218bobo!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: 2D Replicator Classes

Postby 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.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

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

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

Related class-Q:
x = 3, y = 3, rule = B2a/S2an3n
2o$obo$b2o!

whatever they call this (R?):
x = 3, y = 3, rule = B2a/S2a3cn
2o$obo$b2o!
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Re: 2D Replicator Classes

Postby 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?
Everyone, please stop posting B/S about CA
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: 2D Replicator Classes

Postby 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:
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.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

Postby 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.
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Re: 2D Replicator Classes

Postby 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?
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

Postby A for awesome » 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:
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.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

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Re: 2D Replicator Classes

Postby 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:
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).
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Re: 2D Replicator Classes

Postby 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?
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

Postby 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.
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)
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Re: 2D Replicator Classes

Postby 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.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

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

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

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!
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Re: 2D Replicator Classes

Postby 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.
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

Postby muzik » August 19th, 2017, 2:30 pm

toroidalet wrote:Here's a replicator that I don't know which class it goes under:
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!
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Re: 2D Replicator Classes

Postby AforAmpere » August 19th, 2017, 4:17 pm

Class S in a Bugs R6 Variant:

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!


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!
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)
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Re: 2D Replicator Classes

Postby wwei23 » August 21st, 2017, 9:06 am

Class U:
x = 3, y = 1, rule = B2-ek/S
obo!
Replicator!
x = 3, y = 3, rule = B3/S234y
2bo$3o$bo!
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Re: 2D Replicator Classes

Postby Saka » August 21st, 2017, 9:09 am

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

I posted this on page 1 in another phase.
Everyone, please stop posting B/S about CA
x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)
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Re: 2D Replicator Classes

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

Class S (class D without B6n transition):
x = 7, y = 4, rule = B34jy6n/S2-i3
2b3o$bo3bo$o5bo$b2ob2o!
x = 26, y = 25, rule = B34jy6n/S2-i3
2b3o16b3o$bo3bo14bo3bo$o5bo12bo5bo$b2ob2o14b2ob2o18$b2ob2o$o5bo$bo3bo$
2b3o!
(Not quite sure whether the tripling is done correctly)

BTW, what exactly distinguishes class R from S?
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Re: 2D Replicator Classes

Postby muzik » August 22nd, 2017, 2:40 pm

M. I. Wright wrote:Class S (class D without B6n transition):
x = 7, y = 4, rule = B34jy6n/S2-i3
2b3o$bo3bo$o5bo$b2ob2o!
x = 26, y = 25, rule = B34jy6n/S2-i3
2b3o16b3o$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.
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Re: 2D Replicator Classes

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

Aha, I see. "Rectangle only" makes sense now.
[EDIT: not] Class A:
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.
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Re: 2D Replicator Classes

Postby toroidalet » August 22nd, 2017, 8:08 pm

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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Re: 2D Replicator Classes

Postby drc » August 24th, 2017, 10:48 pm

What class is this?:
x = 2, y = 3, rule = B2-a4aint/S16ci
bo$o$bo!
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Re: 2D Replicator Classes

Postby Gamedziner » August 25th, 2017, 6:18 am

drc wrote:What class is this?:
x = 2, y = 3, rule = B2-a4aint/S16ci
bo$o$bo!

That's actually a spacefiller.
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