Walled Cities

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bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Walled Cities

Post by bprentice » July 20th, 2018, 1:08 pm

Re-visiting some beautiful old rules by David Macfarlane. See "Walled Cities" here:

http://psoup.math.wisc.edu/mcell/rullex_life.html

Examples:

Code: Select all

x = 64, y = 64, rule = 2345/45678/4
64A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.
A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A
$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$
A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A
62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.
A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$64A!

Code: Select all

x = 64 y = 64, rule = 2345/45678/3
64A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.
A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A
$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$
A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A
62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.
A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$64A!

Code: Select all

x = 64, y = 64, rule = B45678/S2345
64A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.
A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A
$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$
A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A
62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.
A$A62.A$A62.A$A62.A$A62.A$A62.A$A62.A$64A!
Brian Prentice

User avatar
77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

Re: Walled Cities

Post by 77topaz » August 1st, 2018, 5:41 pm

That's some nice-looking chaos! :) I feel like ntdsc (the "quantum computer" guy) would have a field day with those rules...

bprentice
Posts: 920
Joined: September 10th, 2009, 6:20 pm
Location: Coos Bay, Oregon

Re: Walled Cities

Post by bprentice » August 5th, 2018, 9:39 pm

Two example patterns using the related rule 1234/3478/5:

Code: Select all

x = 3, y = 3, rule = 1234/3478/5
.A$A.A$.A!

Code: Select all

x = 10, y = 9, rule = 1234/3478/5
7C3A$C3A.2ABAD$BA.AB.2A2D$2B.5A2D$5A.4A$CA2D2.3A$.A4D.A.A$.3A3D2.A$.
2C3AD3A!
Brian Prentice

User avatar
KittyTac
Posts: 535
Joined: December 21st, 2017, 9:58 am

Re: Walled Cities

Post by KittyTac » August 5th, 2018, 11:04 pm

bprentice wrote:Two example patterns using the related rule 1234/3478/5:

Code: Select all

x = 3, y = 3, rule = 1234/3478/5
.A$A.A$.A!

Code: Select all

x = 10, y = 9, rule = 1234/3478/5
7C3A$C3A.2ABAD$BA.AB.2A2D$2B.5A2D$5A.4A$CA2D2.3A$.A4D.A.A$.3A3D2.A$.
2C3AD3A!
Brian Prentice
Can we call this tule "Highway"? These little signals that are sent along the stripes look like cars riding down a highway.

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