Rules With Oblique Replicators

[muzik]

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:

Code: Select all

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.

[drc]

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!

[muzik]

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.

[fluffykitty]

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

[BlinkerSpawn]

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.

[fluffykitty]

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

[Saka]

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

They're examples

[fluffykitty]

Oh. Thought you had a rule where that worked

[muzik]

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!

[toroidalet]

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)

[muzik]

..so the replicator is diagonal in both directions, but the filled area is still oblique?

[toroidalet]

..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.

[GUYTU6J]

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.
As Blinkerspawn pointed out,

Code: Select all

x = 5,y = 2,rule = B2i34city5ackqy6ein7c8/S23-a4city
2b3o$3o!
[[ STOP 42 ]]

[toroidalet]

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.

[GUYTU6J]

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!