Rules With Oblique Replicators

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muzik
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Rules With Oblique Replicators

Post by muzik » June 22nd, 2017, 11:59 am

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.
Last edited by muzik on August 13th, 2017, 3:05 pm, edited 4 times in total.
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drc
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Re: Rules With Oblique Replicators

Post by drc » June 22nd, 2017, 1:01 pm

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!
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Re: Rules With Oblique Replicators

Post by muzik » June 22nd, 2017, 1:12 pm

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.
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Re: Rules With Oblique Replicators

Post by fluffykitty » June 22nd, 2017, 2:02 pm

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

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Re: Rules With Oblique Replicators

Post by BlinkerSpawn » June 22nd, 2017, 2:22 pm

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.
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Re: Rules With Oblique Replicators

Post by fluffykitty » June 22nd, 2017, 3:24 pm

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

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Re: Rules With Oblique Replicators

Post by Saka » June 22nd, 2017, 5:20 pm

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

Post by fluffykitty » June 22nd, 2017, 7:20 pm

Oh. Thought you had a rule where that worked :(

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Re: Rules With Oblique Replicators

Post by muzik » August 13th, 2017, 3:06 pm

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!
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toroidalet
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Re: Rules With Oblique Replicators

Post by toroidalet » August 13th, 2017, 7:40 pm

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)
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muzik
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Re: Rules With Oblique Replicators

Post by muzik » August 13th, 2017, 7:45 pm

..so the replicator is diagonal in both directions, but the filled area is still oblique?
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Re: Rules With Oblique Replicators

Post by toroidalet » August 13th, 2017, 7:47 pm

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.
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Re: Rules With Oblique Replicators

Post by GUYTU6J » August 27th, 2017, 10:28 am

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 ]]
Last edited by GUYTU6J on August 28th, 2017, 12:31 am, edited 1 time in total.
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toroidalet
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Re: Rules With Oblique Replicators

Post by toroidalet » August 27th, 2017, 10:55 am

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!"

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Re: Rules With Oblique Replicators

Post by GUYTU6J » September 1st, 2017, 10:56 am

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!
Lifequote:
Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible.

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