What's your favorite patterns in any CA rule?

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1and0nlycordershippr
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What's your favorite patterns in any CA rule?

Post by 1and0nlycordershippr »

My favorite patterns are:

Code: Select all

x = 120, y = 77, rule = Life-based_sticky
41.A2.A$41.A2.A$40.A4.A$40.A4.A64.A2.A$40.A4.A64.A2.A$4.A2.A32.A4.A63.
A4.A$4.A2.A31.3A2.3A62.A4.A$3.A4.A30.A.4A.A27.A2.A31.A4.A$3.A4.A31.A4.
A28.A2.A31.A4.A$3.A4.A64.A4.A29.3A2.3A$3.A4.A64.A4.A29.A.4A.A$2.3A2.3A
32.2A29.A4.A30.A4.A$2.A.4A.A32.2A29.A4.A$3.A4.A33.2A28.3A2.3A$40.A4.A
26.A.4A.A31.2A$38.3A4.3A25.A4.A32.2A$5.2A30.3A6.3A62.2A$5.2A30.2A8.2A
60.A4.A$5.2A31.10A27.2A30.3A4.3A$3.A4.A30.8A28.2A29.3A6.3A$.3A4.3A30.
4A30.2A29.2A8.2A$3A6.3A5.CB54.A4.A28.10A$2A8.2A59.3A4.3A27.8A$.10A59.
3A6.3A28.4A$2.8A60.2A8.2A4.CB$4.4A63.10A$72.8A$74.4A10$43.A2.A$43.A2.
A$42.A4.A$3.2A2.2A33.A4.A64.A2.A$5.2A35.A4.A64.A2.A$5.2A35.A4.A63.A4.
A$2.A.A2.A.A31.3A2.3A23.2A2.2A33.A4.A$2.A6.A31.A.4A.A25.2A35.A4.A$42.
A4.A26.2A35.A4.A$2.A6.A61.A.A2.A.A31.3A2.3A$3.2A2.2A62.A6.A31.A.4A.A$
4.4A36.2A65.A4.A$44.2A25.A6.A$.3A4.3A33.2A26.2A2.2A$42.A4.A25.4A36.2A
$.2A6.2A29.3A4.3A63.2A$.2A6.2A28.3A6.3A19.3A4.3A33.2A$39.2A8.2A60.A4.
A$2.A6.A30.10A20.2A6.2A29.3A4.3A$2.A.A2.A.A31.8A21.2A6.2A28.3A6.3A$43.
4A61.2A8.2A$3.2A2.2A62.A6.A30.10A$2.A6.A61.A.A2.A.A31.8A$112.4A$5.2A65.
2A2.2A$4.A2.A63.A6.A$4.A2.A$3.A4.A65.2A$3.A4.A64.A2.A$4.4A65.A2.A$3.2A
2.2A63.A4.A$3.A4.A63.A4.A$3.A4.A64.4A$72.2A2.2A$72.A4.A$4.4A64.A4.A$5.
2A2$73.4A$74.2A!

Code: Select all

x = 78, y = 77, rule = Life-based_sticky
40.2A27.2A$40.2A27.2A$39.A2.A25.A2.A$36.2A.A2.A22.2A.A2.A$42.A28.A$34.
2A3.A2.A20.2A3.A2.A$34.2A5.A21.2A5.A$35.A.5A22.A.5A$36.A28.A3$33.3A26.
3A$33.A28.A$31.2A27.2A$25.2A4.A22.2A4.A$25.3A3.A22.3A3.A$23.A4.A23.A4.
A$23.A3.A24.A3.A$27.A28.A$22.2A.A.A23.2A.A.A$20.2A5.A21.2A5.A$20.2A4.
2A21.2A4.2A$22.4A25.4A5$29.C45.2A$29.B45.2A$74.A2.A$71.2A.A2.A$77.A$69.
2A3.A2.A$69.2A5.A$70.A.5A$71.A3$68.3A$68.A$66.2A$60.2A4.A$60.3A3.A$58.
A4.A$58.A3.A$62.A$57.2A.A.A$55.2A5.A$55.2A4.2A$57.4A5$20.2A$20.2A$19.
A2.A$16.2A.A2.A$22.A$14.2A3.A2.A$14.2A5.A$15.A.5A$16.A3$13.3A$13.A$11.
2A$5.2A4.A$5.3A3.A$3.A4.A$3.A3.A$7.A$2.2A.A.A$2A5.A$2A4.2A$2.4A!
weird

Code: Select all

x = 8, y = 12, rule = R4,C2,S2-3,B3,N@000000038181c0000005
obo$b2o$bo8$6b2o$6b2o!
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NNlk05
Posts: 801
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Re: What's your favorite patterns in any CA rule?

Post by NNlk05 »

Code: Select all

x = 10, y = 3, rule = B34twz/S23
b2o4b2o$obo4bobo$2bo4bo!
[[ AUTOSTART AUTOHIDEGUI TRACK 0 -47/270 ZOOM 4 GPS 45 STEP 3 THEME BOOK ]]
Feci quod potui, faciant meliora potentes.

Code: Select all

x = 10, y = 3, rule = B34twz/S23
b2o4b2o$obo4bobo$2bo4bo!
[[ AUTOSTART AUTOHIDEGUI TRACK 0 -47/270 ZOOM 4 GPS 45 STEP 3 THEME BOOK ]]
https://nnlk05.github.io

=3
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TheWayOfTheCon
Posts: 411
Joined: March 28th, 2025, 11:40 pm
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Re: What's your favorite patterns in any CA rule?

Post by TheWayOfTheCon »

In OCA, it would probably be this natural knightship in B3/S01367. Something about it is just so elegant.

Code: Select all

x = 7, y = 5, rule = B3/S01367
5bo$2o3bo$bo3b2o$2bo2b2o$5b2o!

#C [[ AUTOSTART GPS 30 TRACK 1/26 -2/26 ]]
I could've chose a better username, but oh well.

I think I've learned the ropes of cellular automata. My current interest is range-two LTLs.
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