## 2D Replicator Classes

For discussion of other cellular automata.

### Re: 2D Replicator Classes

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.
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### Re: 2D Replicator Classes

x = 4, y = 4, rule = B2i34ceiknry8/S23-a4city3o$o2bo$o2bo$b3o! Notice that the engine goes at (14,1)c/36 x = 4, y = 4, rule = B2i34ceiknry8/S23-a4cityb3o$o2bo$o2bo$3o!#C [[ TRACKBOX 14/36 1/36 0 0 ]]

EDIT:Similarly,
x = 3, y = 3, rule = B2n34eiqrtz5eijnr8/S23-a4city2o$b2o$bo!

x = 4, y = 3, rule = B2in3aeikn4city8/S23-a4city2bo$b3o$o2bo!

And this one?
x = 4, y = 4, rule = B2in3aceir4city8/S23-a4cityb2o$2o$b3o$2bo! Welcome to share your ideas about etymology of names! GUYTU6J Posts: 347 Joined: August 5th, 2016, 10:27 am Location: outside Plain of Life ### Re: 2D Replicator Classes GUYTU6J wrote:EDIT2:How about this? x = 4, y = 3, rule = B2in3aeikn4city8/S23-a4city2bo$b3o$o2bo! It's class F. I've edited the OP. Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) : 965808 is period 336 (max = 207085118608). AbhpzTa Posts: 335 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: 2D Replicator Classes x = 5, y = 4, rule = B2k3aeiqy4city8/S23-a4cityb3o$bo2bo$bob2o$o!

EDIT:
x = 3, y = 3, rule = B2k3aeinr4city7c/S23-a4citybo$3o$2bo!

x = 4, y = 4, rule = B2k3aeinr4city7e/S23-a4city3o$o2bo$o2bo$b3o! Welcome to share your ideas about etymology of names! GUYTU6J Posts: 347 Joined: August 5th, 2016, 10:27 am Location: outside Plain of Life ### Re: 2D Replicator Classes x = 4, y = 4, rule = B2ik3aeikr4ceijqry78/S23-a4city78b3o$o2bo$o$2o!
etymology of names!

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### Re: 2D Replicator Classes

Class-S:
x = 7, y = 2, rule = B3-y5a/S234c5ek3ob3o$bo3bo! x = 31, y = 27, rule = B3-y5a/S234c5ekbo3bo19bo3bo$3ob3o17b3ob3o24$3ob3o$bo3bo!
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### Re: 2D Replicator Classes

Possibly a class u:
x = 1, y = 1, rule = B1e2e3e/S0o!
Last edited by muzik on October 13th, 2017, 6:07 pm, edited 1 time in total.
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### Re: 2D Replicator Classes

muzik wrote:Possibly a class r:
x = 1, y = 1, rule = B1e2e3e/S0o!

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.
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### Re: 2D Replicator Classes

muzik wrote:Possibly a class r:
x = 1, y = 1, rule = B1e2e3e/S0o!

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)

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

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### Re: 2D Replicator Classes

And another (technically this is von Neumann Fredkin)
x = 1, y = 1, rule = B1e/S04eo!

Do these count as replicators, or spacefillers?
x = 1, y = 1, rule = B12cn4c/S0o!

x = 1, y = 1, rule = B1c2c4c/So!
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### Re: 2D Replicator Classes

x = 1, y = 1, rule = B12ci3ci4c6i8/S02i8o!
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### Re: 2D Replicator Classes

muzik wrote:Do these count as replicators, or spacefillers?
x = 1, y = 1, rule = B12cn4c/S0o!

x = 1, y = 1, rule = B1c2c4c/So!

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).
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