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Rules With Oblique Replicators
Posted: June 22nd, 2017, 11:59 am
by 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$bo!
3c/5 knightwise:
Code: Select all
x = 3, y = 4, rule = B3-nq4nt5ar/S2-k34aiw
2o$b2o$2o$o!
Well this list is still pretty short... so maybe we should try again with expanding it.
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 1:01 pm
by 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!
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 1:12 pm
by muzik
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$.3D!
Possibly, as long as it actually acts like a replicator and produces no annoying junk.
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 2:02 pm
by fluffykitty
What's B/S012345678History? Seems to be a rule where nothing happens ever.
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 2:22 pm
by BlinkerSpawn
fluffykitty wrote:What's B/S012345678History? Seems to be a rule where nothing happens ever.
It allows somebody to use the various marking and history states without worrying about patterns doing weird things.
Basically, it's scratch paper for LifeViewer.
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 3:24 pm
by fluffykitty
Makes sense. However, why would you specify those particular positions?
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 5:20 pm
by Saka
fluffykitty wrote:Makes sense. However, why would you specify those particular positions?
They're examples
Re: Rules With Oblique Replicators
Posted: June 22nd, 2017, 7:20 pm
by fluffykitty
Oh. Thought you had a rule where that worked
Re: Rules With Oblique Replicators
Posted: August 13th, 2017, 3:06 pm
by muzik
Added a new oblique 1D replicator, courtesy of toroidalet (I think).
Also, here's a replicator that appears to be oblique in one direction, and diagonal in another, causing the filled region to be a rhombus:
Code: Select all
x = 5, y = 3, rule = B34ej5y6n_S23
2bo$b3o$2o2bo!
Re: Rules With Oblique Replicators
Posted: August 13th, 2017, 7:40 pm
by toroidalet
muzik wrote:Also, here's a replicator that appears to be oblique in one direction, and diagonal in another, causing the filled region to be a rhombus:
The replicators actually move diagonally. (They're glide-symmetric).
Also, your notation is a bit confusing. The speeds are
(1D)
(2,1)c/4
and
(2,5)c/21
(2D)
(2,4)c/10 (or (1,2)c/5)
Re: Rules With Oblique Replicators
Posted: August 13th, 2017, 7:45 pm
by muzik
..so the replicator is diagonal in both directions, but the filled area is still oblique?
Re: Rules With Oblique Replicators
Posted: August 13th, 2017, 7:47 pm
by toroidalet
muzik wrote:..so the replicator is diagonal in both directions, but the filled area is still oblique?
It depends on what you mean by the filled area being "oblique".
The filled area is bounded by 4 oblique lines in a rhombus which is symmetric across a slope=±1 line.
Re: Rules With Oblique Replicators
Posted: August 27th, 2017, 10:28 am
by GUYTU6J
My computer which I am using to explore CAs can't connect to the Internet ,and now I'am typing this rle by hand on my phone.
Code: Select all
x = 9,y = 4,rule = B2i34city5ackqy6ein7c8/S23-a4city
3o$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$3o!
[[ STOP 42 ]]
Re: Rules With Oblique Replicators
Posted: August 27th, 2017, 10:55 am
by toroidalet
That replicator fills out a rhombus, so it might be considered oblique.
It might be nice to make a sierpinski builder that makes an oblique 1d replicator.
Re: Rules With Oblique Replicators
Posted: September 1st, 2017, 10:56 am
by GUYTU6J
toroidalet wrote:
It might be nice to make a sierpinski builder that makes an oblique 1d replicator.
On Sierpinski builder,I have just found one
Code: Select all
x = 5, y = 8, rule = B2i34ceiktyz8/S23-a4city
3o$o2bo$o2bo$b3o2$4bo$4bo$4bo!