## Rules With Oblique Replicators

For discussion of other cellular automata.

### Rules With Oblique Replicators

1D

3c/4 knightwise:
`x = 3, y = 4, rule = B02346/S023o2\$bo!`

c/21 (5,2)wise:
`x = 3, y = 5, rule = B3-y4y6ci/S23-e2bo\$b2o\$o\$o\$bo!`

2D

3c/5 knightwise:
`x = 3, y = 4, rule = B3-nq4nt5ar/S2-k34aiw2o\$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!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### 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:
`x = 22, y = 20, rule = B/S012345678History5.3D\$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!`
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

drc

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

### 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:
`x = 22, y = 20, rule = B/S012345678History5.3D\$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!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Rules With Oblique Replicators

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

Posts: 617
Joined: June 14th, 2014, 5:03 pm

### 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]

Posts: 1889
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Rules With Oblique Replicators

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

Posts: 617
Joined: June 14th, 2014, 5:03 pm

### Re: Rules With Oblique Replicators

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

They're examples
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

Posts: 3111
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Rules With Oblique Replicators

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

Posts: 617
Joined: June 14th, 2014, 5:03 pm

### 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:
`x = 5, y = 3, rule = B34ej5y6n_S232bo\$b3o\$2o2bo!`
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### 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:
`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)
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

toroidalet

Posts: 1002
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### 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!
muzik

Posts: 3466
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### 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.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

toroidalet

Posts: 1002
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### 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.
`x = 9,y = 4,rule = B2i34city5ackqy6ein7c8/S23-a4city3o\$obo3b3o\$3o3bobo\$6b3o! `

The rule can be reduced probably.
`x = 5,y = 2,rule = B2i34city5ackqy6ein7c8/S23-a4city2b3o\$3o![[ STOP 42 ]]`
Last edited by GUYTU6J on August 28th, 2017, 12:31 am, edited 1 time in total.
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

Posts: 670
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden

### 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.
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

toroidalet

Posts: 1002
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### 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
`x = 5, y = 8, rule = B2i34ceiktyz8/S23-a4city3o\$o2bo\$o2bo\$b3o2\$4bo\$4bo\$4bo!`
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

Posts: 670
Joined: August 5th, 2016, 10:27 am
Location: My Glimmering Garden