ConwayLife.com - A community for Conway's Game of Life and related cellular automata
Home  •  LifeWiki  •  Forums  •  Download Golly

2D Replicator Classes

For discussion of other cellular automata.

Re: 2D Replicator Classes

Postby drc » August 25th, 2017, 12:23 pm

Gamedziner wrote:That's actually a spacefiller.

It's also a (failed) replicator. If you look closely you can see the puffer being generated again, and even again before crashing into the oscillators.
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
User avatar
drc
 
Posts: 1665
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

Re: 2D Replicator Classes

Postby GUYTU6J » September 1st, 2017, 8:55 am

x = 4, y = 4, rule = B2i34ceiknry8/S23-a4city
3o$o2bo$o2bo$b3o!

Notice that the engine goes at (14,1)c/36
x = 4, y = 4, rule = B2i34ceiknry8/S23-a4city
b3o$o2bo$o2bo$3o!
#C [[ TRACKBOX 14/36 1/36 0 0 ]]


EDIT:Similarly,
x = 3, y = 3, rule = B2n34eiqrtz5eijnr8/S23-a4city
2o$b2o$bo!


EDIT2:How about this?
x = 4, y = 3, rule = B2in3aeikn4city8/S23-a4city
2bo$b3o$o2bo!

And this one?
x = 4, y = 4, rule = B2in3aceir4city8/S23-a4city
b2o$2o$b3o$2bo!
Welcome to share your ideas about
etymology of names!
User avatar
GUYTU6J
 
Posts: 347
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

Re: 2D Replicator Classes

Postby AbhpzTa » September 10th, 2017, 12:49 pm

GUYTU6J wrote:EDIT2:How about this?
x = 4, y = 3, rule = B2in3aeikn4city8/S23-a4city
2bo$b3o$o2bo!

It's class F. I've edited the OP.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa
 
Posts: 335
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Re: 2D Replicator Classes

Postby GUYTU6J » September 15th, 2017, 10:57 am

x = 5, y = 4, rule = B2k3aeiqy4city8/S23-a4city
b3o$bo2bo$bob2o$o!

EDIT:
x = 3, y = 3, rule = B2k3aeinr4city7c/S23-a4city
bo$3o$2bo!

x = 4, y = 4, rule = B2k3aeinr4city7e/S23-a4city
3o$o2bo$o2bo$b3o!
Welcome to share your ideas about
etymology of names!
User avatar
GUYTU6J
 
Posts: 347
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

Re: 2D Replicator Classes

Postby GUYTU6J » September 23rd, 2017, 4:40 am

x = 4, y = 4, rule = B2ik3aeikr4ceijqry78/S23-a4city78
b3o$o2bo$o$2o!
Welcome to share your ideas about
etymology of names!
User avatar
GUYTU6J
 
Posts: 347
Joined: August 5th, 2016, 10:27 am
Location: outside Plain of Life

Re: 2D Replicator Classes

Postby toroidalet » September 29th, 2017, 6:17 pm

Class-S:
x = 7, y = 2, rule = B3-y5a/S234c5ek
3ob3o$bo3bo!

x = 31, y = 27, rule = B3-y5a/S234c5ek
bo3bo19bo3bo$3ob3o17b3ob3o24$3ob3o$bo3bo!
I have the best signature ever.
User avatar
toroidalet
 
Posts: 753
Joined: August 7th, 2016, 1:48 pm
Location: Somewhere on a planet called "Earth"

Re: 2D Replicator Classes

Postby muzik » October 13th, 2017, 3:53 pm

Possibly a class u:
x = 1, y = 1, rule = B1e2e3e/S0
o!
Last edited by muzik on October 13th, 2017, 6:07 pm, edited 1 time in total.
2c/n spaceships project

Current priorities: see here
muzik
 
Posts: 2595
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Postby BlinkerSpawn » October 13th, 2017, 5:21 pm

muzik wrote:Possibly a class r:
x = 1, y = 1, rule = B1e2e3e/S0
o!

It's an XOR but with diamonds, if that makes any sense.
Not sure if that's a class; I haven't studied the OP in forever.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]
User avatar
BlinkerSpawn
 
Posts: 1470
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Re: 2D Replicator Classes

Postby A for awesome » October 13th, 2017, 5:40 pm

muzik wrote:Possibly a class r:
x = 1, y = 1, rule = B1e2e3e/S0
o!

It seems to follow OEIS A189007 (1, 4, 8, 16, 16, 32, 32, 64, 32, ...), so it does not appear to be in any existing class.
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
User avatar
A for awesome
 
Posts: 1409
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

Re: 2D Replicator Classes

Postby muzik » October 13th, 2017, 5:51 pm

And another (technically this is von Neumann Fredkin)
x = 1, y = 1, rule = B1e/S04e
o!



Do these count as replicators, or spacefillers?
x = 1, y = 1, rule = B12cn4c/S0
o!


x = 1, y = 1, rule = B1c2c4c/S
o!
2c/n spaceships project

Current priorities: see here
muzik
 
Posts: 2595
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Postby muzik » October 24th, 2017, 4:23 am

How about this one?

x = 1, y = 1, rule = B12ci3ci4c6i8/S02i8
o!
2c/n spaceships project

Current priorities: see here
muzik
 
Posts: 2595
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: 2D Replicator Classes

Postby AbhpzTa » October 25th, 2017, 3:57 pm

muzik wrote:Do these count as replicators, or spacefillers?
x = 1, y = 1, rule = B12cn4c/S0
o!


x = 1, y = 1, rule = B1c2c4c/S
o!


Spacefillers.
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa
 
Posts: 335
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

Previous

Return to Other Cellular Automata

Who is online

Users browsing this forum: danny, M. I. Wright and 8 guests