## Rules With Oblique Replicators

For discussion of other cellular automata.
muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Rules With Oblique Replicators

1D

3c/4 knightwise:

Code: Select all

``````x = 3, y = 4, rule = B02346/S023
o2\$bo!``````
c/21 (5,2)wise:

Code: Select all

``````x = 3, y = 5, rule = B3-y4y6ci/S23-e
2bo\$b2o\$o\$o\$bo!``````
2D

3c/5 knightwise:

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``````x = 3, y = 4, rule = B3-nq4nt5ar/S2-k34aiw
2o\$b2o\$2o\$o!``````

Well this list is still pretty short... so maybe we should try again with expanding it.
Last edited by muzik on August 13th, 2017, 3:05 pm, edited 4 times in total.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: Rules With Oblique Replicators

Would weird replicators count? Like, for example, if the B-heptomino replicated in 3 ways in sparse areas with strange behaviour:

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``````x = 22, y = 20, rule = B/S012345678History
5.3D\$5.D2.D\$5.D.2D8\$9.A\$9.2A\$10.2A\$9.2A\$19.2D\$20.2D\$19.2D\$3.D15.D\$D2.
D\$.3D!
``````
\100\97\110\105

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules With Oblique Replicators

drc wrote:Would weird replicators count? Like, for example, if the B-heptomino replicated in 3 ways in sparse areas with strange behaviour:

Code: Select all

``````x = 22, y = 20, rule = B/S012345678History
5.3D\$5.D2.D\$5.D.2D8\$9.A\$9.2A\$10.2A\$9.2A\$19.2D\$20.2D\$19.2D\$3.D15.D\$D2.
D\$.3D!
``````
Possibly, as long as it actually acts like a replicator and produces no annoying junk.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

fluffykitty
Posts: 653
Joined: June 14th, 2014, 5:03 pm
Contact:

### Re: Rules With Oblique Replicators

What's B/S012345678History? Seems to be a rule where nothing happens ever.
I like making rules

Posts: 1976
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Rules With Oblique Replicators

fluffykitty wrote:What's B/S012345678History? Seems to be a rule where nothing happens ever.
It allows somebody to use the various marking and history states without worrying about patterns doing weird things.
Basically, it's scratch paper for LifeViewer.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

fluffykitty
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Contact:

### Re: Rules With Oblique Replicators

Makes sense. However, why would you specify those particular positions?
I like making rules

Saka
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### Re: Rules With Oblique Replicators

fluffykitty wrote:Makes sense. However, why would you specify those particular positions?
They're examples

Code: Select all

``````o3b2ob2obo3b2o2b2o\$bo3b2obob3o3bo2bo\$2bo2b3o5b3ob4o\$3o3bo2bo2b3o3b3o\$
4bo4bobo4bo\$2o2b2o2b4obo2bo3bo\$2ob4o3bo2bo2bo2bo\$b2o3bobob2o\$3bobobo5b
obobobo\$3bobobob2o3bo2bobo!
``````
(Check gen 3)

fluffykitty
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Contact:

### Re: Rules With Oblique Replicators

Oh. Thought you had a rule where that worked
I like making rules

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules With Oblique Replicators

Added a new oblique 1D replicator, courtesy of toroidalet (I think).

Also, here's a replicator that appears to be oblique in one direction, and diagonal in another, causing the filled region to be a rhombus:

Code: Select all

``````x = 5, y = 3, rule = B34ej5y6n_S23
2bo\$b3o\$2o2bo!``````
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

toroidalet
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### Re: Rules With Oblique Replicators

muzik wrote:Also, here's a replicator that appears to be oblique in one direction, and diagonal in another, causing the filled region to be a rhombus:

Code: Select all

``replicator``
The replicators actually move diagonally. (They're glide-symmetric).
Also, your notation is a bit confusing. The speeds are
(1D)
(2,1)c/4
and
(2,5)c/21
(2D)
(2,4)c/10 (or (1,2)c/5)
"I'm sure we all agree that we ought to love one another, and I know there are people in the world who do not love their fellow human beings, and I hate people like that!"

-Tom Lehrer

muzik
Posts: 3910
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules With Oblique Replicators

..so the replicator is diagonal in both directions, but the filled area is still oblique?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

toroidalet
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Contact:

### Re: Rules With Oblique Replicators

muzik wrote:..so the replicator is diagonal in both directions, but the filled area is still oblique?
It depends on what you mean by the filled area being "oblique".
The filled area is bounded by 4 oblique lines in a rhombus which is symmetric across a slope=±1 line.
"I'm sure we all agree that we ought to love one another, and I know there are people in the world who do not love their fellow human beings, and I hate people like that!"

-Tom Lehrer

GUYTU6J
Posts: 1192
Joined: August 5th, 2016, 10:27 am
Location: 拆哪！I repeat, CHINA!

### Re: Rules With Oblique Replicators

My computer which I am using to explore CAs can't connect to the Internet ,and now I'am typing this rle by hand on my phone.

Code: Select all

``````x = 9,y = 4,rule = B2i34city5ackqy6ein7c8/S23-a4city
3o\$obo3b3o\$3o3bobo\$6b3o! ``````
The rule can be reduced probably.

Code: Select all

``````x = 5,y = 2,rule = B2i34city5ackqy6ein7c8/S23-a4city
2b3o\$3o!
[[ STOP 42 ]]``````
Last edited by GUYTU6J on August 28th, 2017, 12:31 am, edited 1 time in total.
Bullet51 wrote:
October 21st, 2019, 9:42 am

(Didn't expect you saying goodbye this soon. Will you return on winter holiday?)
Possibly.

toroidalet
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### Re: Rules With Oblique Replicators

That replicator fills out a rhombus, so it might be considered oblique.
It might be nice to make a sierpinski builder that makes an oblique 1d replicator.
"I'm sure we all agree that we ought to love one another, and I know there are people in the world who do not love their fellow human beings, and I hate people like that!"

-Tom Lehrer

GUYTU6J
Posts: 1192
Joined: August 5th, 2016, 10:27 am
Location: 拆哪！I repeat, CHINA!

### Re: Rules With Oblique Replicators

toroidalet wrote: It might be nice to make a sierpinski builder that makes an oblique 1d replicator.
On Sierpinski builder,I have just found one

Code: Select all

``````x = 5, y = 8, rule = B2i34ceiktyz8/S23-a4city
3o\$o2bo\$o2bo\$b3o2\$4bo\$4bo\$4bo!
``````
Bullet51 wrote:
October 21st, 2019, 9:42 am

(Didn't expect you saying goodbye this soon. Will you return on winter holiday?)
Possibly.