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other neighborhoods

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confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 22nd, 2025, 3:21 am

Inventing a notation isn't a real problem. It isn't too hard to invent a notation, once it's clear and generally understood what people are talking about. The latter might be more of a challenge.

Can you explain your latest post in plain English? (Widely known terminology used elsewhere in mathematics/computer science is acceptable and likely to be understood. However, ill-defined or undefined local jargon should be avoided. Anything that clashes with intuition / contradicts common sense also should be avoided.) Is your post intended to describe some sort of notation for something? A notation for what it would be? What would count as equivalent in this case? What would count as a space in this case? What would count as correct or wrong in this case?

CARuler wrote: ↑
March 21st, 2025, 11:27 pm
[...] can be notated by (o,d;q) where o is the number of orthogonal spaces and d is the number of diagonal space and q is the number of oblique spaces
this can be extended to 3D with [...]
[...] for 4d we have [...]
note: the divers (l1;l2;l3;...;ln;...;lq) just mean there are n distinct nonzero numbers

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 24th, 2025, 2:04 am

No new terminology that is not invented there is used

Clashes intuition, contradicts common sense

Um. (I didn't get where I am by always keeping intuition, I tend to build and destroy my intuition as I go, I did not expect this to be a problem ( I will try with this);

contradicts common sense

??? What ??? I don't think the real world affects math much? I have no idea how this would happen)
Thanks for the feedback, I will try to come up with a better explanation.

local jargon

most of what I invent is, true

Last edited by CARuler on October 29th, 2025, 7:16 pm, edited 4 times in total.

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confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 24th, 2025, 3:04 am

"The real world affects math" to the extent that, indeed, you would need to come up with a sufficiently clear, unambiguous, correct, precise human-readable explanation of your idea, before other people can tell whether or not it makes any sense, and whether "it works" as a relevant idea.

Simply "true" is insufficient. Mathematics (as human activity) relies on clear precise definitions, human-readable explanations, and also relies on the intuition to show which paths are interesting enough to be followed. There are way too many paths in the space of possible ideas and connections between them. Without intuition, there would be no good way to choose where to go, very few discoveries, and very little understanding of whatever was discovered.

CARuler wrote: ↑
March 24th, 2025, 2:04 am
[...] I don't the real world affects math much? I have no idea how this would happen))
Thanks for the feedback, I will try to come up with a better explanation. [...]

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 24th, 2025, 10:22 am

confocaloid wrote: ↑
March 24th, 2025, 3:04 am
"The real world affects math" to the extent that

How so?
Also, I know what you with intuition, but it should stay out of things it's not helpful for.

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CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 5:05 pm

working on (1,0;1)-(0,1;1)

Code: Select all

x = 101, y = 110, rule = B/S012345678Super
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BE5.EBE5.EBE5.BEB5.BEB5.2EB!

does anyone spot any errors?

Last edited by CARuler on October 29th, 2025, 7:09 pm, edited 1 time in total.

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
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confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 5:11 pm

What is "(1,0;2)-(0,1;2)"?

It is impossible to decide whether there are any errors, before there is a clear human-readable explanation of what would count as an error.

CARuler wrote: ↑
March 25th, 2025, 5:05 pm
working on (1,0;2)-(0,1;2)
[...]
does anyone spot any errors?

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 5:18 pm

here's some work on it:

Code: Select all

x = 101, y = 146, rule = B/S012345678Super
.3E6.E6.3E5.3E5.E.E5.3E5.3E5.3E5.3E5.3E4.E.3E3.E.E5.E.3E$.E.E5.2E8.E7.
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E3.E3.E3.E3.E3.E3.E3.E$17.E2B5.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.B2E
2$17.2BE5.EBE5.EBE5.EBE5.EBE5.BEB5.BEB5.BEB5.2EB$16.B3.B3.B3.B3.E3.B3.
E3.B3.E3.B3.B3.E3.B3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E
3.E3.E3.E3.E3.E3.E3.E$16.E3.B3.E3.B3.E3.B3.E3.B3.E3.B3.B3.E3.B3.E3.B3.
E3.B3.E$17.3B5.3B5.3B5.BEB5.BEB5.EBE5.3E5.3E5.3E2$17.BEB5.B2E5.B2E5.B
2E5.B2E5.E2B5.E2B5.E2B5.EBE$16.B3.B3.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.E3.
E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E
$16.B3.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E3.E3.E3.E$17.BEB5.BEB5.
2EB5.2EB5.2EB5.2BE5.2BE5.EBE5.EBE2$17.BEB5.BEB5.BEB5.BEB5.BEB5.EBE5.E
BE5.EBE5.EBE$16.B3.E3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$
16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B
3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.3B5.2BE5.E2B5.EBE5.3E5.
BEB5.B2E5.2EB5.3E2$17.BEB5.BEB5.BEB5.BEB5.BEB5.EBE5.EBE5.EBE5.EBE$16.
B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B
3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.E3.E3.E3.E3.E3.E3.E3.E3.
E3.B3.B3.B3.B3.B3.B3.E3.B$17.3B5.3B5.BEB5.B2E5.3E5.E2B5.EBE5.3E5.3E2$
17.BEB5.BEB5.BEB5.BEB5.B2E5.EBE5.EBE5.EBE5.EBE$16.B3.B3.B3.B3.B3.B3.B
3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.
E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.E
3.E3.E$17.2BE5.EBE5.EBE5.EBE5.EBE5.BEB5.BEB5.BEB5.2EB2$25.3E5.3E5.3E5.
3E5.3B5.3B5.3B$24.B3.B3.B3.E3.E3.E3.B3.E3.B3.B3.E3.B3.E3.E$24.B3.B3.B
3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.
E3.E3.E$25.3B5.3B5.3B5.3B5.3E5.3E5.3E2$25.B2E5.B2E5.B2E5.B2E5.E2B5.E2B
5.E2B$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.B3.E
3.B3.E3.E3.B3.E3.B3.E3.B$24.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E$
25.3B5.3B5.BEB5.2EB5.EBE5.3E5.3E2$25.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2E
B$24.B3.E3.B3.E3.B3.E3.E3.E3.E3.B3.E3.B3.E3.B$24.B3.B3.B3.B3.B3.B3.B3.
B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$25.3B
5.2BE5.2BE5.2BE5.2EB5.2EB5.3E2$25.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2EB$24.
B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$24.B3.B3.B3.B3.B3.B3.B3.B3.E
3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$25.2BE5.E
BE5.EBE5.EBE5.BEB5.BEB5.2EB2$25.2BE5.EBE5.3E5.3E5.3B5.BEB5.2EB$24.B3.
B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E
3.E3.E3.E3.E$24.E3.E3.E3.E3.E3.E3.E3.E3.B3.B3.B3.B3.B3.B$25.3B5.3B5.3B
5.3B5.3E5.3E5.3E2$25.EBE5.EBE5.EBE5.3E5.BEB5.BEB5.BEB$24.B3.B3.B3.B3.
B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.E3.E3.E3.E3.E3.E3.B3.B3.B3.B3.E
3.B$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$25.3B5.3B5.BEB5.BEB5.
EBE5.3E5.3E2$25.B2E5.3E5.3E5.3E5.3B5.3B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.
B3.E3.E3.E3.E3.E3.E$24.E3.B3.E3.B3.E3.E3.E3.E3.B3.B3.B3.E3.B3.E$24.B3.
B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$25.3B5.3B5.3B5.E2B5.3E5.3E5.3E2$
25.B2E5.B2E5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.E3.B3.E3.B3.E3.B3.B3.E3.
B3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.E3.B3.E3.B3.
E3.B3.E3.B3.B3.E3.B3.E3.B3.E$25.3B5.3B5.BEB5.B2E5.EBE5.3E5.3E2$25.B2E
5.B2E5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.
E3.E$24.B3.B3.B3.B3.E3.B3.E3.B3.B3.E3.E3.E3.E3.E$24.B3.B3.E3.B3.E3.B3.
E3.B3.B3.E3.B3.E3.E3.E$25.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E2$25.B2E5.
B2E5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E
3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.
B3.B3.E3.E3.E3.E3.E3.E$25.2BE5.EBE5.3E5.3E5.3B5.BEB5.2EB!

an error would be a copied transition
((1,0;1)-(0,1;1) is the neighborhood type which may be explained later (i made a mistake writing (1,0;2)-(0,1;2)))
please help find any errors

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
ADHD user
mostly inactive

hotdogPi: Moderator; Posts: 2203; Joined: August 12th, 2020, 8:22 pm

Re: other neighborhoods

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Post by hotdogPi » March 25th, 2025, 5:20 pm

confocaloid wrote: ↑
March 25th, 2025, 5:11 pm
What is "(1,0;2)-(0,1;2)"?

It is impossible to decide whether there are any errors, before there is a clear human-readable explanation of what would count as an error.

CARuler wrote: ↑
March 25th, 2025, 5:05 pm
working on (1,0;2)-(0,1;2)
[...]
does anyone spot any errors?

I don't know why that notation, but it looks like CARuler is asking if there any duplicates or omissions in INT using the 12-cell neighborhood shown.

User:HotdogPi/My discoveries

Periods discovered:

All evens ≤128 except 52,58,78,82,92,94,98,104,118,122

5-15,㉕-㉛,㉟㊺,51,63,65,73,75
1㊳㊵㊹㊼㊽,54,56,72,74,80,90,92
217,240,300,486,576

Guns: 20,21,32,54,55,57,114,117,124,126
SKOPs: 32,74,76,102,196

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 5:28 pm

hotdogPi wrote: ↑
March 25th, 2025, 5:20 pm

I don't know why that notation, but it looks like CARuler is asking if there any duplicates or omissions in INT using the 12-cell neighborhood shown.

thanks, this is what i was trying to say,

some more work

Code: Select all

x = 101, y = 158, rule = B/S012345678Super
.3E6.E6.3E5.3E5.E.E5.3E5.3E5.3E5.3E5.3E4.E.3E3.E.E5.E.3E$.E.E5.2E8.E7.
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BEB5.BEB5.B2E5.3E5.E2B5.EBE5.EBE5.EBE5.EBE$8.B3.B3.B3.B3.B3.B3.B3.B3.
B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E$8.B3.B3.B3.E3.B3.E3.E3.E3.E3.
E3.E3.E3.B3.B3.B3.B3.E3.B3.E3.B3.E3.E$8.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.
B3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E$9.3B5.3B5.BEB5.BEB5.BEB5.BEB5.EBE5.
EBE5.EBE5.3E5.3E2$9.2BE5.2BE5.2BE5.2BE5.EBE5.EBE5.BEB5.2EB5.2EB5.2EB5.
2EB$8.B3.B3.B3.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E7.E3.E3.E3.E$8.
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B3.E3.B3.E3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E7.E3.B3.E3.E$9.3B5.3B5.E2B
5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.3E5.3E2$17.B2E5.B2E5.B2E5.B2E5.B2E5.E
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E$16.B3.B3.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E7.E3.E$16.B3.B3.B3.B3.
B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E7.E3.E$17.3B5.3B5.3B5.3B5.2BE5.3E5.3E5.
3E5.3E2$17.2BE5.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2EB5.2EB$16.B3.E3.B3.E3.
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3.E3.E3.E3.E3.E7.E3.E$16.B3.B3.B3.B3.E3.B3.E3.E3.E3.E3.B3.B3.B3.E3.E7.
E3.E$17.3B5.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.3E2$17.2BE5.2BE5.2BE5.
2BE5.EBE5.2EB5.2EB5.2EB5.2EB$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E
3.E3.E3.E3.E3.E$16.B3.B3.B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B3.E3.
E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.2BE5.2BE
5.EBE5.EBE5.EBE5.BEB5.BEB5.2EB5.2EB2$17.EBE5.EBE5.EBE5.3E5.3E5.3B5.BE
B5.BEB5.BEB$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.
B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B
3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.3B5.2BE5.EBE5.EBE5.3E5.BEB
5.BEB5.B2E5.3E2$17.2BE5.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2EB5.2EB$16.B3.
B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.E3.E3.E
3.E3.E3.E3.E3.B3.B3.B3.B3.E3.B3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.E3.B3.
E3.E3.E3.E3.E3.E3.E3.E$17.E2B5.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.B2E
2$17.2BE5.EBE5.EBE5.EBE5.EBE5.BEB5.BEB5.BEB5.2EB$16.B3.B3.B3.B3.E3.B3.
E3.B3.E3.B3.B3.E3.B3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E
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2E5.B2E5.E2B5.E2B5.E2B5.EBE$16.B3.B3.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.E3.
E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E
$16.B3.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E3.E3.E3.E$17.BEB5.BEB5.
2EB5.2EB5.2EB5.2BE5.2BE5.EBE5.EBE2$17.BEB5.BEB5.BEB5.BEB5.BEB5.EBE5.E
BE5.EBE5.EBE$16.B3.E3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$
16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B
3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.3B5.2BE5.E2B5.EBE5.3E5.
BEB5.B2E5.2EB5.3E2$17.BEB5.BEB5.BEB5.BEB5.BEB5.EBE5.EBE5.EBE5.EBE$16.
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3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.E3.E3.E3.E3.E3.E3.E3.E3.
E3.B3.B3.B3.B3.B3.B3.E3.B$17.3B5.3B5.BEB5.B2E5.3E5.E2B5.EBE5.3E5.3E2$
17.BEB5.BEB5.BEB5.BEB5.B2E5.EBE5.EBE5.EBE5.EBE$16.B3.B3.B3.B3.B3.B3.B
3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.
E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.E
3.E3.E$17.2BE5.EBE5.EBE5.EBE5.EBE5.BEB5.BEB5.BEB5.2EB2$25.3E5.3E5.3E5.
3E5.3B5.3B5.3B$24.B3.B3.B3.E3.E3.E3.B3.E3.B3.B3.E3.B3.E3.E$24.B3.B3.B
3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.
E3.E3.E$25.3B5.3B5.3B5.3B5.3E5.3E5.3E2$25.B2E5.B2E5.B2E5.B2E5.E2B5.E2B
5.E2B$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.B3.E
3.B3.E3.E3.B3.E3.B3.E3.B$24.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E$
25.3B5.3B5.BEB5.2EB5.EBE5.3E5.3E2$25.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2E
B$24.B3.E3.B3.E3.B3.E3.E3.E3.E3.B3.E3.B3.E3.B$24.B3.B3.B3.B3.B3.B3.B3.
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i may take a while to check if all transitions using 3 cells have been done, if i've left any out, please tell me

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
ADHD user
mostly inactive

confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 5:30 pm

hotdogPi wrote: ↑
March 25th, 2025, 5:20 pm
[...] I don't know why that notation, but it looks like CARuler is asking if there any duplicates or omissions in INT using the 12-cell neighborhood shown.

According to my calculations in an interactive PyPy session, there are 570 equivalence classes of two-state neighbourhood configurations, counted up to rotations and reflections, omitting the current state of the middle cell. That means people might have some difficulty finding enough letters to cover them all.

Code: Select all

>>>> [ sum(1 for c in x if sum(c) == k) for k in range(13) ]
[1, 2, 12, 30, 72, 104, 128, 104, 72, 30, 12, 2, 1]
>>>> sum(_)
570
>>>>

Instead of posting incremental updates in large multistate patterns with little human-readable explanations, it would be better to pause and brainstorm the situation. As far as I can tell, there are simply way too many equivalence classes of two-state neighbourhood configurations (that is, cell conditions) for any sort of useful "rulestring" notation.

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 5:47 pm

use something in the form of aa or xy if we allow for all capital and lowercase letters exulding b,B,s,S we get 48^2 (much greater than 570)

update:

Code: Select all

x = 101, y = 188, rule = B/S012345678Super
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$24.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.B3.E3.B3.
E3.E3.B3.E3.B3.E3.B$25.3B5.2BE5.B2E5.B2E5.E2B5.2EB5.3E2$25.BEB5.BEB5.
BEB5.BEB5.EBE5.EBE5.EBE$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.
B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$24.B3.B3.E3.B3.E3.B3.E3.B3.B
3.E3.B3.E3.E3.E$25.E2B5.E2B5.E2B5.2EB5.B2E5.B2E5.B2E2$25.BEB5.BEB5.BE
B5.E2B5.EBE5.EBE5.EBE$24.B3.E3.B3.E3.B3.E3.E3.E3.E3.B3.E3.B3.E3.B$24.
B3.B3.E3.B3.E3.B3.B3.B3.B3.E3.B3.E3.E3.E$24.B3.B3.B3.B3.B3.E3.B3.E3.E
3.B3.E3.E3.E3.E$25.E2B5.E2B5.E2B5.EBE5.B2E5.B2E5.B2E2$25.B2E5.B2E5.B2E
5.B2E5.E2B5.E2B5.E2B$24.E3.B3.E3.B3.E3.B3.E3.B3.B3.E3.B3.E3.B3.E$24.B
3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.
E3.E3.E3.E3.E$25.3B5.BEB5.2EB5.2EB5.2BE5.EBE5.3E2$25.BEB5.BEB5.BEB5.B
EB5.EBE5.EBE5.EBE$24.B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$24.B3.B
3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.
E3.E3.E3.E$25.BEB5.BEB5.BEB5.BEB5.EBE5.EBE5.EBE2$33.B2E5.B2E5.B2E5.E2B
5.E2B$32.B3.B3.B3.B3.E3.B3.E3.E3.E3.E$32.B3.B3.E3.B3.E3.B3.B3.E3.E3.E
$32.B3.B3.B3.B3.B3.B3.E3.E3.E3.E$33.B2E5.B2E5.B2E5.E2B5.E2B2$33.B2E5.
B2E5.B2E5.E2B5.E2B$32.B3.B3.E3.B3.E3.B3.B3.E3.E3.E$32.B3.B3.B3.B3.B3.
E3.E3.E3.E3.E$32.E3.B3.E3.B3.E3.B3.B3.E3.B3.E$33.BEB5.BEB5.BEB5.EBE5.
EBE!

note: if we use & and + as characters (they don't appear in rle and aren't key to ruletables) that becomes 50^2=2500

likes interesting rules
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also likes weird growth patterns in CA
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confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 5:53 pm

I think it's unlikely to be any sort of useful notation. (Unless of course one really wants to inflict pain on every user of the notation.)

Even with one letter per equivalence class of neighbourhood configurations (i.e. one letter per cell condition), it is already confusing. Hensel notation (2-state isotropic R1 Moore) is already confusing and hard to remember. After three years of using the notation, I still check the table of conditions for what '3j', '3r', '3n' mean.

I think "two letters per cell condition" would be approximately one letter way too many. Especially with uppercase/lowercase distinction.

CARuler wrote: ↑
March 25th, 2025, 5:47 pm
use something in the form of aa or xy if we allow for all capital and lowercase letters exulding b,B,s,S we get 48^2 (much greater than 570) [...]

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 6:01 pm

confocaloid wrote: ↑
March 25th, 2025, 5:53 pm
I think it's unlikely to be any sort of useful notation. (Unless of course one really wants to inflict pain on every user of the notation.)

Even with one letter per equivalence class of neighbourhood configurations (i.e. one letter per cell condition), it is already confusing. Hensel notation (2-state isotropic R1 Moore) is already confusing and hard to remember. After three years of using the notation, I still check the table of conditions for what '3j', '3r', '3n' mean.

you never know, the more you rulegolf using Hensel notation the easier it becomes to remember what the transitions look like.
yes, this is probably never going to be used by anyone, but why are you discouraging me? i thought you wanted to make the forums a better place? besides, i need to do something to kill the time.

an update +1transition

Code: Select all

x = 101, y = 194, rule = B/S012345678Super
.3E6.E6.3E5.3E5.E.E5.3E5.3E5.3E5.3E5.3E4.E.3E3.E.E5.E.3E$.E.E5.2E8.E7.
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BEB5.BEB5.B2E5.3E5.E2B5.EBE5.EBE5.EBE5.EBE$8.B3.B3.B3.B3.B3.B3.B3.B3.
B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E$8.B3.B3.B3.E3.B3.E3.E3.E3.E3.
E3.E3.E3.B3.B3.B3.B3.E3.B3.E3.B3.E3.E$8.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.
B3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.E$9.3B5.3B5.BEB5.BEB5.BEB5.BEB5.EBE5.
EBE5.EBE5.3E5.3E2$9.2BE5.2BE5.2BE5.2BE5.EBE5.EBE5.BEB5.2EB5.2EB5.2EB5.
2EB$8.B3.B3.B3.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E7.E3.E3.E3.E$8.
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B3.E3.B3.E3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E7.E3.B3.E3.E$9.3B5.3B5.E2B
5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.3E5.3E2$17.B2E5.B2E5.B2E5.B2E5.B2E5.E
2B5.E2B5.E2B5.E2B$16.B3.B3.B3.E3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E7.E3.
E$16.B3.B3.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E7.E3.E$16.B3.B3.B3.B3.
B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E7.E3.E$17.3B5.3B5.3B5.3B5.2BE5.3E5.3E5.
3E5.3E2$17.2BE5.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2EB5.2EB$16.B3.E3.B3.E3.
B3.E3.B3.E3.E3.E3.E3.B3.E3.B3.E7.E3.B$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B
3.E3.E3.E3.E3.E7.E3.E$16.B3.B3.B3.B3.E3.B3.E3.E3.E3.E3.B3.B3.B3.E3.E7.
E3.E$17.3B5.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.3E2$17.2BE5.2BE5.2BE5.
2BE5.EBE5.2EB5.2EB5.2EB5.2EB$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E
3.E3.E3.E3.E3.E$16.B3.B3.B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B3.E3.
E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.2BE5.2BE
5.EBE5.EBE5.EBE5.BEB5.BEB5.2EB5.2EB2$17.EBE5.EBE5.EBE5.3E5.3E5.3B5.BE
B5.BEB5.BEB$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.
B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B
3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.3B5.2BE5.EBE5.EBE5.3E5.BEB
5.BEB5.B2E5.3E2$17.2BE5.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2EB5.2EB$16.B3.
B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.E3.E3.E
3.E3.E3.E3.E3.B3.B3.B3.B3.E3.B3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.E3.B3.
E3.E3.E3.E3.E3.E3.E3.E$17.E2B5.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E5.B2E
2$17.2BE5.EBE5.EBE5.EBE5.EBE5.BEB5.BEB5.BEB5.2EB$16.B3.B3.B3.B3.E3.B3.
E3.B3.E3.B3.B3.E3.B3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E
3.E3.E3.E3.E3.E3.E3.E$16.E3.B3.E3.B3.E3.B3.E3.B3.E3.B3.B3.E3.B3.E3.B3.
E3.B3.E$17.3B5.3B5.3B5.BEB5.BEB5.EBE5.3E5.3E5.3E2$17.BEB5.B2E5.B2E5.B
2E5.B2E5.E2B5.E2B5.E2B5.EBE$16.B3.B3.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.E3.
E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E
$16.B3.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.B3.E3.E3.E3.E3.E3.E$17.BEB5.BEB5.
2EB5.2EB5.2EB5.2BE5.2BE5.EBE5.EBE2$17.BEB5.BEB5.BEB5.BEB5.BEB5.EBE5.E
BE5.EBE5.EBE$16.B3.E3.B3.E3.E3.E3.E3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$
16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B
3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$17.3B5.2BE5.E2B5.EBE5.3E5.
BEB5.B2E5.2EB5.3E2$17.BEB5.BEB5.BEB5.BEB5.BEB5.EBE5.EBE5.EBE5.EBE$16.
B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B
3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.E3.E3.E3.E3.E3.E3.E3.E3.
E3.B3.B3.B3.B3.B3.B3.E3.B$17.3B5.3B5.BEB5.B2E5.3E5.E2B5.EBE5.3E5.3E2$
17.BEB5.BEB5.BEB5.BEB5.B2E5.EBE5.EBE5.EBE5.EBE$16.B3.B3.B3.B3.B3.B3.B
3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.B3.B3.B3.B3.B3.E3.
E3.E3.E3.E3.E3.E3.E$16.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.E
3.E3.E$17.2BE5.EBE5.EBE5.EBE5.EBE5.BEB5.BEB5.BEB5.2EB2$25.3E5.3E5.3E5.
3E5.3B5.3B5.3B$24.B3.B3.B3.E3.E3.E3.B3.E3.B3.B3.E3.B3.E3.E$24.B3.B3.B
3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.
E3.E3.E$25.3B5.3B5.3B5.3B5.3E5.3E5.3E2$25.B2E5.B2E5.B2E5.B2E5.E2B5.E2B
5.E2B$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.B3.E
3.B3.E3.E3.B3.E3.B3.E3.B$24.B3.B3.B3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E$
25.3B5.3B5.BEB5.2EB5.EBE5.3E5.3E2$25.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2E
B$24.B3.E3.B3.E3.B3.E3.E3.E3.E3.B3.E3.B3.E3.B$24.B3.B3.B3.B3.B3.B3.B3.
B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$25.3B
5.2BE5.2BE5.2BE5.2EB5.2EB5.3E2$25.2BE5.2BE5.2BE5.2BE5.2EB5.2EB5.2EB$24.
B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$24.B3.B3.B3.B3.B3.B3.B3.B3.E
3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$25.2BE5.E
BE5.EBE5.EBE5.BEB5.BEB5.2EB2$25.2BE5.EBE5.3E5.3E5.3B5.BEB5.2EB$24.B3.
B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E
3.E3.E3.E3.E$24.E3.E3.E3.E3.E3.E3.E3.E3.B3.B3.B3.B3.B3.B$25.3B5.3B5.3B
5.3B5.3E5.3E5.3E2$25.EBE5.EBE5.EBE5.3E5.BEB5.BEB5.BEB$24.B3.B3.B3.B3.
B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.E3.E3.E3.E3.E3.E3.B3.B3.B3.B3.E
3.B$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$25.3B5.3B5.BEB5.BEB5.
EBE5.3E5.3E2$25.B2E5.3E5.3E5.3E5.3B5.3B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.
B3.E3.E3.E3.E3.E3.E$24.E3.B3.E3.B3.E3.E3.E3.E3.B3.B3.B3.E3.B3.E$24.B3.
B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$25.3B5.3B5.3B5.E2B5.3E5.3E5.3E2$
25.B2E5.B2E5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.E3.B3.E3.B3.E3.B3.B3.E3.
B3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.E3.B3.E3.B3.
E3.B3.E3.B3.B3.E3.B3.E3.B3.E$25.3B5.3B5.BEB5.B2E5.EBE5.3E5.3E2$25.B2E
5.B2E5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.
E3.E$24.B3.B3.B3.B3.E3.B3.E3.B3.B3.E3.E3.E3.E3.E$24.B3.B3.E3.B3.E3.B3.
E3.B3.B3.E3.B3.E3.E3.E$25.E2B5.E2B5.E2B5.E2B5.B2E5.B2E5.B2E2$25.B2E5.
B2E5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E
3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.
B3.B3.E3.E3.E3.E3.E3.E$25.2BE5.EBE5.3E5.3E5.3B5.BEB5.2EB2$25.B2E5.B2E
5.B2E5.B2E5.E2B5.E2B5.E2B$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E
$24.B3.B3.B3.B3.B3.B3.E3.B3.E3.E3.E3.E3.E3.E$24.B3.E3.B3.E3.B3.E3.B3.
E3.E3.B3.E3.B3.E3.B$25.3B5.2BE5.B2E5.B2E5.E2B5.2EB5.3E2$25.BEB5.BEB5.
BEB5.BEB5.EBE5.EBE5.EBE$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.
B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$24.B3.B3.E3.B3.E3.B3.E3.B3.B
3.E3.B3.E3.E3.E$25.E2B5.E2B5.E2B5.2EB5.B2E5.B2E5.B2E2$25.BEB5.BEB5.BE
B5.E2B5.EBE5.EBE5.EBE$24.B3.E3.B3.E3.B3.E3.E3.E3.E3.B3.E3.B3.E3.B$24.
B3.B3.E3.B3.E3.B3.B3.B3.B3.E3.B3.E3.E3.E$24.B3.B3.B3.B3.B3.E3.B3.E3.E
3.B3.E3.E3.E3.E$25.E2B5.E2B5.E2B5.EBE5.B2E5.B2E5.B2E2$25.B2E5.B2E5.B2E
5.B2E5.E2B5.E2B5.E2B$24.E3.B3.E3.B3.E3.B3.E3.B3.B3.E3.B3.E3.B3.E$24.B
3.B3.B3.B3.B3.B3.B3.B3.E3.E3.E3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.E3.E3.
E3.E3.E3.E3.E$25.3B5.BEB5.2EB5.2EB5.2BE5.EBE5.3E2$25.BEB5.BEB5.BEB5.B
EB5.EBE5.EBE5.EBE$24.B3.E3.B3.E3.E3.E3.E3.E3.B3.B3.E3.B3.E3.B$24.B3.B
3.E3.B3.E3.B3.E3.E3.B3.E3.B3.E3.E3.E$24.B3.B3.B3.B3.B3.B3.B3.B3.E3.E3.
E3.E3.E3.E$25.BEB5.BEB5.BEB5.BEB5.EBE5.EBE5.EBE2$33.B2E5.B2E5.B2E5.E2B
5.E2B$32.B3.B3.B3.B3.E3.B3.E3.E3.E3.E$32.B3.B3.E3.B3.E3.B3.B3.E3.E3.E
$32.B3.B3.B3.B3.B3.B3.E3.E3.E3.E$33.B2E5.B2E5.B2E5.E2B5.E2B2$33.B2E5.
B2E5.B2E5.E2B5.E2B$32.B3.B3.E3.B3.E3.B3.B3.E3.E3.E$32.B3.B3.B3.B3.B3.
E3.E3.E3.E3.E$32.E3.B3.E3.B3.E3.B3.B3.E3.B3.E$33.BEB5.BEB5.BEB5.EBE5.
EBE2$33.B2E5.B2E5.B2E5.E2B5.E2B$32.B3.B3.E3.B3.E3.B3.B3.E3.E3.E$32.B3.
E3.B3.E3.E3.E3.E3.B3.E3.B$32.B3.B3.B3.B3.B3.B3.E3.E3.E3.E$33.BEB5.BEB
5.BEB5.EBE5.EBE!

i will now take so time to check for errors since no-one else seems to be doing so
edit:

confocaloid wrote: ↑
March 25th, 2025, 5:53 pm

I think "two letters per cell condition" would be approximately one letter way too many. Especially with uppercase/lowercase distinction.

CARuler wrote: ↑
March 25th, 2025, 5:47 pm
use something in the form of aa or xy if we allow for all capital and lowercase letters exulding b,B,s,S we get 48^2 (much greater than 570) [...]

then * can be put in front of a letter for a different transition, ` for anther, ** for anther, `* for anther *` for anther `` for yet anther, and so on, counting with binary up to **`.

likes interesting rules
vist my rules here
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Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 6:08 pm

The forums are a place for people to discuss Life/CA. Discussing Life/CA means putting some effort to communicate something that is likely to be of interest to other people and likely to contribute something to the knowledge/understanding of LIfe/CA. Posting incremental updates of some work-in-progress in the form of large multistate patterns with few or no human-readable explanations and with counterintuitive jargon/obscure unexplained notations instead of interesting discussion fails to make the forums a better place.

CARuler wrote: ↑
March 25th, 2025, 6:01 pm
[...] i thought you wanted to make the forums a better place? besides, i need to do something to kill the time. [...] i will now take so time to check for errors since no-one else seems to be doing so

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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Re: other neighborhoods

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Post by b-engine » March 25th, 2025, 6:14 pm

CARuler wrote: ↑
March 25th, 2025, 5:47 pm
use something in the form of aa or xy if we allow for all capital and lowercase letters exulding b,B,s,S we get 48^2 (much greater than 570)
Code: Select all
note: if we use & and + as characters (they don't appear in rle and aren't key to ruletables) that becomes 50^2=2500

Range-2 HROT weighted neighborhoods could replicate the functionality, or at least mimic a fraction of their powers:

Code: Select all

#R R2,C2,S9-13,B10-13,NW00010801000100000001080000000801000000010001080100
!
[[ RANDOMIZE ]]

Try INT Minesweeper

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Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 6:52 pm

b-engine wrote: ↑
March 25th, 2025, 6:14 pm
NW00010801000100000001080000000801000000010001080100

Might be worth noting that that assignment of weights would mean it's impossible to distinguish the cell condition

"the cell currently has =8 alive neighbours from the set { (±1,±2), (±2,±1) }, and no other alive neighbours"

from the cell condition

"the cell currently has =1 alive neighbour from the set { (±2,0), (0,±2) }, and no other alive neighbours"

Unless that's intentional, I think one would need to use weight 9 instead of 8 to allow distinguishing all cell conditions that can in principle be distinguished using the same partition:

Code: Select all

NW00010901000100000001090000000901000000010001090100
-- 01 09 01 --
01 -- -- -- 01
09 -- -- -- 09
01 -- -- -- 01
-- 01 09 01 --

Alternatively, assign weight 1 to each of the four neighbours from the set { (±2,0), (0,±2) } instead, and assign weight 5 to each of the 8 neighbours from the set { (±1,±2), (±2,±1) }. Then one hex digit per neighbour is enough:

Code: Select all

x = 5, y = 4, rule = R2,C0,S6,11,16,21,26,B11,16,21,26,NW0515050005100015000505150
o$4bo$3bo$3bo!

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

Quote
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Post by CARuler » March 25th, 2025, 7:14 pm

got'm all with a script:

Code: Select all

000000000000
100000000000
010000000000
110000000000
101000000000
011000000000
111000000000
100100000000
110100000000
111100000000
100010000000
010010000000
110010000000
001010000000
101010000000
011010000000
111010000000
100110000000
010110000000
110110000000
001110000000
101110000000
011110000000
111110000000
100001000000
010001000000
110001000000
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011001000000
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100101000000
010101000000
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101101000000
011101000000
111101000000
100011000000
110011000000
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011011000000
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100111000000
110111000000
101111000000
011111000000
111111000000
100000100000
110000100000
101000100000
111000100000
100100100000
110100100000
101100100000
111100100000
110010100000
101010100000
111010100000
110110100000
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111110100000
110001100000
111001100000
110101100000
111101100000
111011100000
111111100000
010000010000
110000010000
001000010000
101000010000
011000010000
111000010000
100100010000
010100010000
110100010000
001100010000
101100010000
011100010000
111100010000
100010010000
010010010000
110010010000
001010010000
101010010000
011010010000
111010010000
100110010000
010110010000
110110010000
001110010000
101110010000
011110010000
111110010000
100001010000
010001010000
110001010000
101001010000
011001010000
111001010000
100101010000
010101010000
110101010000
001101010000
101101010000
011101010000
111101010000
100011010000
010011010000
110011010000
001011010000
101011010000
011011010000
111011010000
100111010000
010111010000
110111010000
001111010000
101111010000
011111010000
111111010000
110000110000
101000110000
011000110000
111000110000
100100110000
010100110000
110100110000
001100110000
101100110000
011100110000
111100110000
100010110000
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111010110000
100110110000
010110110000
110110110000
001110110000
101110110000
011110110000
111110110000
100001110000
010001110000
110001110000
101001110000
011001110000
111001110000
100101110000
010101110000
110101110000
101101110000
011101110000
111101110000
100011110000
010011110000
110011110000
101011110000
011011110000
111011110000
100111110000
010111110000
110111110000
001111110000
101111110000
011111110000
111111110000
100010001000
010010001000
110010001000
101010001000
011010001000
111010001000
100110001000
010110001000
110110001000
101110001000
011110001000
111110001000
110001001000
101001001000
011001001000
111001001000
100101001000
010101001000
110101001000
101101001000
011101001000
111101001000
100011001000
010011001000
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101011001000
011011001000
111011001000
100111001000
010111001000
110111001000
101111001000
011111001000
111111001000
101000101000
011000101000
111000101000
100100101000
010100101000
110100101000
101100101000
011100101000
111100101000
100010101000
110010101000
101010101000
011010101000
111010101000
100110101000
010110101000
110110101000
101110101000
011110101000
111110101000
110001101000
101001101000
011001101000
111001101000
100101101000
110101101000
101101101000
011101101000
111101101000
100011101000
110011101000
101011101000
011011101000
111011101000
100111101000
010111101000
110111101000
101111101000
011111101000
111111101000
011000011000
111000011000
100100011000
110100011000
111100011000
110010011000
101010011000
011010011000
111010011000
100110011000
110110011000
101110011000
011110011000
111110011000
110001011000
101001011000
111001011000
100101011000
110101011000
101101011000
011101011000
111101011000
100011011000
110011011000
101011011000
011011011000
111011011000
100111011000
110111011000
101111011000
011111011000
111111011000
111000111000
100100111000
110100111000
101100111000
011100111000
111100111000
110010111000
101010111000
111010111000
100110111000
110110111000
101110111000
011110111000
111110111000
110001111000
101001111000
111001111000
100101111000
110101111000
101101111000
111101111000
100011111000
110011111000
101011111000
111011111000
100111111000
110111111000
101111111000
011111111000
111111111000
100100100100
110100100100
111100100100
110010100100
101010100100
111010100100
110110100100
101110100100
111110100100
110001100100
111001100100
110101100100
111101100100
111011100100
111111100100
110010010100
101010010100
111010010100
110110010100
101110010100
111110010100
110001010100
111001010100
110101010100
101101010100
111101010100
110011010100
101011010100
111011010100
110111010100
101111010100
111111010100
110100110100
101100110100
111100110100
110010110100
111010110100
110110110100
101110110100
111110110100
110001110100
111001110100
110101110100
111101110100
110011110100
111011110100
110111110100
101111110100
111111110100
110010001100
111010001100
110110001100
111110001100
111001001100
110101001100
111101001100
110011001100
111011001100
110111001100
111111001100
111010101100
110110101100
111110101100
111001101100
111101101100
111011101100
110111101100
111111101100
111010011100
111110011100
111101011100
111011011100
111111011100
111100111100
111110111100
111111111100
010010010010
110010010010
001010010010
101010010010
011010010010
111010010010
110110010010
001110010010
101110010010
011110010010
111110010010
110001010010
001001010010
101001010010
011001010010
111001010010
110101010010
001101010010
101101010010
011101010010
111101010010
110011010010
001011010010
101011010010
011011010010
111011010010
110111010010
001111010010
101111010010
011111010010
111111010010
110010110010
001010110010
101010110010
011010110010
111010110010
110110110010
001110110010
101110110010
011110110010
111110110010
110001110010
001001110010
101001110010
011001110010
111001110010
110101110010
001101110010
101101110010
011101110010
111101110010
110011110010
001011110010
101011110010
011011110010
111011110010
110111110010
001111110010
101111110010
011111110010
111111110010
001010001010
101010001010
011010001010
111010001010
110110001010
001110001010
101110001010
011110001010
111110001010
110011001010
101011001010
011011001010
111011001010
110111001010
101111001010
011111001010
111111001010
101010101010
111010101010
110110101010
101110101010
111110101010
110001101010
111001101010
110101101010
111101101010
111011101010
111111101010
011010011010
111010011010
110110011010
001110011010
101110011010
011110011010
111110011010
110001011010
011001011010
111001011010
110101011010
111101011010
110011011010
001011011010
101011011010
011011011010
111011011010
110111011010
001111011010
101111011010
011111011010
111111011010
111010111010
110110111010
001110111010
101110111010
011110111010
111110111010
110001111010
011001111010
111001111010
110101111010
001101111010
101101111010
011101111010
111101111010
110011111010
001011111010
101011111010
011011111010
111011111010
110111111010
001111111010
101111111010
011111111010
111111111010
110110110110
001110110110
101110110110
011110110110
111110110110
011001110110
111001110110
001101110110
101101110110
011101110110
111101110110
011011110110
111011110110
001111110110
101111110110
011111110110
111111110110
001110001110
101110001110
011110001110
111110001110
011011001110
111011001110
101111001110
011111001110
111111001110
101110101110
111110101110
111011101110
111111101110
011110011110
111110011110
011011011110
111011011110
001111011110
101111011110
011111011110
111111011110
111110111110
011001111110
111001111110
111101111110
011011111110
111011111110
001111111110
101111111110
011111111110
111111111110
011011011011
111011011011
111111011011
111011111011
111111111011
111111111111

the script:

Code: Select all

import golly as g
import math as m

def BiCount(x,length):
    i = 0
    a = []
    while (i < length):
        a.append(m.floor(x/pow(2,i))%2)
        i = i+1
    return(a)

def inSet(x,s):
    if len(s) == 0: return False
    for a in s:
        if x == a: return True
    return False

def aplyT(L,T):
    a = []
    for i in T:
        a.append(L[i-1])
    return(a)

#a,b,c,d,e,f,g,h,i,j,k,l -> a,l,k,j,i,h,g,f,e,d,c,b
TF1 = [1,12,11,10,9,8,7,6,5,4,3,2]
#a,b,c,d,e,f,g,h,i,j,k,l -> d,e,f,g,h,i,j,k,l,a,b,c
TF2 = [4,5,6,7,8,9,10,11,12,1,2,3]
#a,b,c,d,e,f,g,h,i,j,k,l -> g,h,i,j,k,l,a,b,c,d,e,f
TF3 = [7,8,9,10,11,12,1,2,3,4,5,6]
#a,b,c,d,e,f,g,h,i,j,k,l -> j,k,l,a,b,c,d,e,f,g,h,i
TF4 = [10,11,12,1,2,3,4,5,6,7,8,9]
#a,b,c,d,e,f,g,h,i,j,k,l -> j,i,h,g,f,e,d,c,b,a,k,l
TF5 = [10,9,8,7,6,5,4,3,2,1,12,11]
#a,b,c,d,e,f,g,h,i,j,k,l -> g,f,e,d,c,b,a,l,k,j,i,h
TF6 = [7,6,5,4,3,2,1,12,11,10,9,8]
#a,b,c,d,e,f,g,h,i,j,k,l -> d,c,b,a,l,k,j,i,h,g,f,e
TF7 = [4,3,2,1,12,11,10,9,8,7,6,5]
TFs = [TF1,TF2,TF2,TF3,TF4,TF5,TF6,TF7]

Transitions = []
Covered = []
j = 0
temp = []

def TransformAdd(l,L):
    for T in TFs:
        L.append(aplyT(l,T))


while(j < pow(2,12)):
    temp = BiCount(j,12)
    if not inSet(temp,Covered):
        Transitions.append(temp)
        TransformAdd(temp,Covered)
    j = j+1

def ListToStr(l):
    a = ""
    for b in l:
        a = a+str(b)
    return(a)

TransAsStr = ListToStr(Transitions[0])

k = 1

while (k < len(Transitions)):
    TransAsStr = TransAsStr+"\n"+ListToStr(Transitions[k])
    k = k+1

g.setclipstr(TransAsStr)

edit: confirmed the number of transitions adds up to 570

note: can be adjusted for different neighborhoods
edit2:
the neighborhood order with the notation a,b,c,d,e,f,g,h,j,k,l with a = state 1, b = state 2, c = state 3, d = state 4, e = state 5, f = state 6, g = state 7, h = state 8, i = state 9, j = state 10, k = state 11, l = state 12

Code: Select all

x = 5, y = 5, rule = B3/S23Super
.LAB$K3.C$J3.D$I3.E$.HGF!

Last edited by CARuler on March 25th, 2025, 7:22 pm, edited 1 time in total.

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
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R2INT: Posts: 775; Joined: July 2nd, 2024, 7:42 pm

Re: other neighborhoods

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Post by R2INT » March 25th, 2025, 7:20 pm

CARuler wrote: ↑
March 25th, 2025, 6:01 pm
you never know, the more you rulegolf using Hensel notation the easier it becomes to remember what the transitions look like.
yes, this is probably never going to be used by anyone, but why are you discouraging me? i thought you wanted to make the forums a better place? besides, i need to do something to kill the time.

I agree with that. I have lots of experience golfing interesting INT rules (in particular, B2eik3ain4art5aenr6eik/S02e3iqr4rz5aj6k and Checkerboard, Day & Night (B2en3cin4aciknqt5eny6ikn78/S2ace3-eny4cjnqyz5-cin6-en78), and I no longer need to look at a table of the INT configurations to know which transitions I need to change. (In particular, the last transitions I memorized were 5n, 5j, and 5q.).

A quote with my notation of a triangular rulespace that I found:

R2INT wrote: ↑
March 22nd, 2025, 12:30 pm
Here is a triangular INT rulespace that I am very interested in:
[...]

Also,

CARuler wrote: ↑
March 25th, 2025, 7:14 pm
got'm all with a script:
Code: Select all
[...]

I think a good next step would be to write a script to count how many times a line appears with one 1, with two 1's, with three 1's, and so on. The maximum, which is at six 1's (or, more generally, with density 1/2 in the neighborhood).

Range-2 INT
R2INT's Rule Collection

Currently missing OCA catalyst search software and OCA conduit search software (the one I have is hardcoded to B3/S23-a5)

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 7:29 pm

R2INT wrote: ↑
March 25th, 2025, 7:20 pm
CARuler wrote: ↑
March 25th, 2025, 7:14 pm
got'm all with a script:
Code: Select all
[...]
I think a good next step would be to write a script to count how many times a line appears with one 1, with two 1's, with three 1's, and so on. The maximum, which is at six 1's (or, more generally, with density 1/2 in the neighborhood).

the way i wrote the script, the maximum is twelve 1's (the maxim amount) (the script brute forces the transitions)
i could write the script to do this, but i'm a bit tried from writing the first script

also, someone should write a script to order them into a rle

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
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mostly inactive

R2INT: Posts: 775; Joined: July 2nd, 2024, 7:42 pm

Re: other neighborhoods

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Post by R2INT » March 25th, 2025, 7:41 pm

There are more neighborhoods that can use the same potential notation:

Code: Select all

#C White represents the center cell in the neighborhood, while
#C Cyan represents the corner cells and blue represents the knight cells.
# [[ COLOR ALIVE 255 255 255 COLOR DYING 0 255 255 COLOR DYINGRAMP 0 0 255 ]]
x = 28, y = 26, rule = 012345678//4
21.B5.B$2.C.C6.BC.CB7.C.C$.CB.BC5.C3.C6.C3.C$3.A9.A10.A$.CB.BC5.C3.C6.
C3.C$2.C.C6.BC.CB7.C.C$21.B5.B4$2.C.C5.B.C.C.B5.C.C$21.B3.B$C.B.B.C3.
C5.C3.C5.C$3.A9.A9.A$C.B.B.C3.C5.C3.C5.C$21.B3.B$2.C.C5.B.C.C.B5.C.C3$
.C3.C4.BC3.CB4.C3.C$C5.C3.C5.C3.CB3.BC$2.B.B$3.A9.A9.A$2.B.B$C5.C3.C5.
C3.CB3.BC$.C3.C4.BC3.CB4.C3.C!

Because there exists a notation for the R2 Knight neighborhood, it can be made similar to how the Range-2 von Neumann neighborhood uses extension notation.

CARuler wrote: ↑
March 25th, 2025, 7:29 pm
also, someone should write a script to order them into a rle

It is a good idea to do so. Here is a possible idea:

Create an array that holds the state of each neighbor. If it is on, use 'A' as the entry array, otherwise use '.'.

After that, generate an RLE:

Code: Select all

rle = "."+t[11]+t[0]+t[1]+".$"+t[2]+"..."+t[3]+"$"+t[4]+".B."+t[5]+"$"+t[6]+"..."+t[7]+"$."+t[8]+t[9]+t[10]+".!"

(EDIT: adjusted to be compatible with CARuler's script)

If you are sorting by neighbor count (which is a good idea to do if you are using a lettered notation), keep a list of how many transitions with each cell count appeared so far.

See also Higher-range_isotropic_non-totalistic_rule#Table_of_isotropic_non-totalistic_rulespaces (there is an entry with 570 transitions, similar to the notation you are interested in).

Last edited by R2INT on March 26th, 2025, 12:33 pm, edited 1 time in total.

Range-2 INT
R2INT's Rule Collection

Currently missing OCA catalyst search software and OCA conduit search software (the one I have is hardcoded to B3/S23-a5)

confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 7:47 pm

R2INT wrote: ↑
March 25th, 2025, 7:20 pm
[...] I have lots of experience golfing interesting INT rules [...]

This boils down to the simple question. Do you care about other people (including newcomers and curious readers) being able to understand the ideas and the results? Do you care more about making things convenient for yourself, even at the expense of other people being able to understand and reuse the work?

The same attitude reappears in the unnecessary jargon obscuring the ideas, in the obscure "notations" that are unlikely to be used by many people, and in other ways.

I do have some experience with finding interesting two-state CA (including two-state isotropic range-1 Moore) but my experience with using some notation doesn't make the notation either better or worse.
If the notation is bad, it remains bad regardless of how much experience I have with it.

Likewise, I do have some experience with interpreting counterintuitive jargon on these forums, but that doesn't make the jargon any more intuitive than it is. It remains counterintuitive jargon.

Do not put yourself above readers.

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 8:34 pm

confocaloid wrote: ↑
March 25th, 2025, 7:47 pm

just put it on the lifewiki and they'll be able to find and learn the notation

edit: going to reconfigure the script to compute all transitions in the R2 hash neighborhood

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
ADHD user
mostly inactive

confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

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Post by confocaloid » March 25th, 2025, 9:08 pm

CARuler wrote: ↑
March 25th, 2025, 8:34 pm
[...] just put it on the lifewiki and they'll be able to find and learn the notation

The total count of 570 means that "learn the notation" wouldn't work very well, even if (maybe) "just put it on the lifewiki" could work.

confocaloid wrote: ↑
March 25th, 2025, 5:30 pm
[1, 2, 12, 30, 72, 104, 128, 104, 72, 30, 12, 2, 1]

Even in an ideal situation (putting a human-readable clear explanation on the wiki, using well-defined consistent terminology that doesn't contradict common sense, following earlier relevant CA-related sources when possible, and so on) 570 is way too many. Remembering this many arbitrary letter combinations is beyond what can be reasonably expected from a person who is interested much more in actually exploring the actual CA reactions/objects than in memorizing arbitrary notations.

Hensel notation is "tolerably usable", but it is already hard enough that "just put it on the lifewiki" doesn't imply "they'll be able to learn the notation". In that case, there are 51 equivalence classes of neighbourhood configurations omitting the middle cell's state (aka cell conditions ignoring the middle cell). 51 arbitrary letters is already close to the boundary between "tolerably usable" and "way too many".

I don't see a reason to expect an ideal situation. In practice, "just put it on the lifewiki" would likely lead to more counterintuitive jargon and gibberish on the wiki, and would make the wiki less useful for readers.

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

CARuler: Posts: 1337; Joined: July 30th, 2024, 5:38 pm; Location: A rule-verse in floor rule-verse of the CGOL skyscraper

Re: other neighborhoods

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Post by CARuler » March 25th, 2025, 9:29 pm

CARuler wrote: ↑
March 25th, 2025, 8:34 pm

edit: going to reconfigure the script to compute all transitions in the R2 hash neighborhood

can anyone tell me why golly crashes when i run the reconfigured script???
the script:

Code: Select all

import golly as g
import math as m

def BiCount(x,length):
    i = 0
    a = []
    while (i < length):
        a.append(m.floor(x/pow(2,i))%2)
        i = i+1
    return(a)

def inSet(x,s):
    if len(s) == 0: return False
    for a in s:
        if x == a: return True
    return False

def aplyT(L,T):
    a = []
    for i in T:
        a.append(L[i-1])
    return(a)

N = 16
#a,b,c,d,e,f,g,h;i,j,k,l,m,n,o,p-> a,h,g,f,e,d,c,b;p,o,n,m,l,k,j,i
TF1 = [1,8,7,6,5,4,3,2,16,15,14,13,12,11,10,9]
#a,b,c,d,e,f,g,h;i,j,k,l,m,n,o,p -> c,d,e,f,g,h,a,b;k,l,m,n,o,p,i,j
TF2 = [3,4,5,6,7,8,1,2,11,12,13,14,15,16,9,10]
#a,b,c,d,e,f,g,h;i,j,k,l,m,n,o,p -> e,f,g,h,a,b,c,d;m,n,o,p,i,j,k,l
TF3 = [5,6,7,8,1,2,3,4,3,14,15,16,9,10,11,12,13]
#a,b,c,d,e,f,g,h;i,j,k,m,n,o,p -> g,h,a,b,c,d,e,f;o,p,i,j,k,l,m,n
TF4 = [7,8,1,2,3,4,5,6,15,16,9,10,11,12,13,14]
#a,b,c,d,e,f,g,h;i,j,k,l,m,n,o,p -> g,f,e,d,c,b,a,h;n,m,l,k,j,i,p,o
TF5 = [7,6,5,4,3,2,1,8,14,13,12,11,10,9,16,15]
#a,b,c,d,e,f,g,h;i,j,k,l,m,n,o,p -> e,d,c,b,a,h,g,f;l,k,j,i,p,o,n,m
TF6 = [5,4,3,2,1,8,7,6,12,11,10,9,16,15,14,13]
#a,b,c,d,e,f,g,h;i,j,k,l,m,n,o,p -> c,b,a,h,g,f,e,d;j,i,p,o,n,m,l,k
TF7 = [3,2,1,8,7,6,5,4,10,9,16,15,14,13,12,11]
TFs = [TF1,TF2,TF2,TF3,TF4,TF5,TF6,TF7]

Transitions = []
Covered = []
j = 0
temp = []

def TransformAdd(l,L):
    for T in TFs:
        L.append(aplyT(l,T))


while(j < pow(2,N)):
    temp = BiCount(j,N)
    if not inSet(temp,Covered):
        Transitions.append(temp)
        TransformAdd(temp,Covered)
    j = j+1

def ListToStr(l):
    a = ""
    for b in l:
        a = a+str(b)
    return(a)

TransAsStr = ListToStr(Transitions[0])

k = 1

while (k < len(Transitions)):
    TransAsStr = TransAsStr+"\n"+ListToStr(Transitions[k])
    k = k+1

g.setclipstr(len(Transitions)+"\n"+TransAsStr)

edit:

confocaloid wrote: ↑
March 25th, 2025, 9:08 pm

Even in an ideal situation (putting a human-readable clear explanation on the wiki, using well-defined consistent terminology that doesn't contradict common sense, following earlier relevant CA-related sources when possible, and so on)

I can't find any possible way that a terminology can contradict "common sense", this feels like your on autopilot
Edit2:
the script worked!!!!!!:

Code: Select all

16404
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1010110110101111
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1110110110101111
0001110110101111
1001110110101111
0101110110101111
1101110110101111
0011110110101111
1011110110101111
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1111110110101111
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1100101111101111
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1010101111101111
0110101111101111
1110101111101111
0001101111101111
1001101111101111
0101101111101111
1101101111101111
0011101111101111
1011101111101111
0111101111101111
1111101111101111
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1100011111101111
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1110011111101111
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1011011111101111
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1111011111101111
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0011111111101111
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1010000011111111
1110000011111111
1001000011111111
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1111000011111111
1000100011111111
1100100011111111
1010100011111111
1110100011111111
1101100011111111
1111100011111111
0100010011111111
1100010011111111
1010010011111111
1110010011111111
1001010011111111
0101010011111111
1101010011111111
1011010011111111
0111010011111111
1111010011111111
0000110011111111
1000110011111111
0100110011111111
1100110011111111
1010110011111111
0110110011111111
1110110011111111
1001110011111111
1101110011111111
1011110011111111
0111110011111111
1111110011111111
1100101011111111
1010101011111111
1110101011111111
1101101011111111
1111101011111111
1101011011111111
1111011011111111
1000111011111111
1100111011111111
1110111011111111
1111111011111111
0000100111111111
0101010111111111
1101010111111111
1111010111111111
0000110111111111
0100110111111111
1100110111111111
1101110111111111
1111110111111111
0000101111111111
0100101111111111
1100101111111111
0100011111111111
0000111111111111
0100111111111111
1100111111111111
0110111111111111
1111111111111111

(the number of transitions is at the top)
edit3:

confocaloid wrote: ↑
March 25th, 2025, 9:08 pm
570 is way too many.

True
edit4:

confocaloid wrote: ↑
March 25th, 2025, 9:08 pm

Hensel notation is "tolerably usable"

not to everyone, i'm comfortable with it
edit5:
can someone put the R2 hash neighborhood on the lifewiki? i've got to go now

likes interesting rules
vist my rules here
also likes weird growth patterns in CA
hyperbolic CA!!!
ADHD user
mostly inactive

confocaloid: Posts: 6697; Joined: February 8th, 2022, 3:15 pm; Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: other neighborhoods

Quote
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Post by confocaloid » March 25th, 2025, 10:17 pm

CARuler wrote: ↑
March 25th, 2025, 9:29 pm
[...]
confocaloid wrote: ↑
March 25th, 2025, 9:08 pm

Even in an ideal situation (putting a human-readable clear explanation on the wiki, using well-defined consistent terminology that doesn't contradict common sense, following earlier relevant CA-related sources when possible, and so on)
I can't find any possible way that a terminology can contradict "common sense", this feels like your on autopilot
[...]

For example, elsewhere in mathematics there is an interesting situation where a set can be open and closed at the same time. https://en.wikipedia.org/wiki/Clopen_set Obviously it is problematic terminology (it contradicts common sense). I'm not planning to complain about that, simply because that is very widely used terminology (much more widely used than any piece of local jargon around these forums), and that is defined clearly enough for other people to understand the definition (much more clearly than many pieces of local jargon around these forums).

Now, can you explain here clearly and convincingly what it is that you are repeatedly describing as "transition" here in this thread, and why it would make sense to use that particular word for referring to that particular concept?

Existing CA-related sources (including those already mentioned) use terminology in a different way (which actually matches the intuition and helps to understand the ideas).
The local jargon on these forums contradicts common sense, it also contradicts available CA-related sources, and apparently the local jargon was never clearly defined, either.

127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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