For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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rutabaga
- Posts: 378
- Joined: January 12th, 2023, 8:18 pm
- Location: a planet near mars
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by rutabaga » April 4th, 2024, 7:09 am
confocaloid wrote: ↑March 28th, 2024, 12:12 pm
The following three still lives are (from top to bottom) order-1 coiled snake, order-2 coiled snake, and order-3 coiled snake:
Code:
Select all
x = 13, y = 10, rule = B3/S23
2ob2obo$ob2ob2o3$2ob2ob2obo$ob2ob2ob2o3$2ob2ob2ob2obo$ob2ob2ob2ob2o!
The coiled snake is an infinite wick, while these still lives are finite parts of the wick.
I feel like the numbering should start with 1, and anything shorter than order-1 coiled snake is not coiled.
So would this be a long^3 order-2 coiled snake?
Code: Select all
x = 15, y = 8, rule = B3/S23
2$b2o$bobo$4bo$5bob2ob2obo$6b2ob2ob2o!
Code: Select all
x=4, y=9, rule=1e234j/3-j/6
.2A3$2A$A.EA$.BEA$2.C$.B2C$2.2A!
i'm back! here have a p12
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squareroot12621
- Posts: 633
- Joined: March 23rd, 2022, 4:53 pm
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by squareroot12621 » April 4th, 2024, 7:15 am
rutabaga wrote: ↑April 4th, 2024, 7:09 am
confocaloid wrote: ↑March 28th, 2024, 12:12 pm
The following three still lives are (from top to bottom) order-1 coiled snake, order-2 coiled snake, and order-3 coiled snake:
Code:
Select all
x = 13, y = 10, rule = B3/S23
2ob2obo$ob2ob2o3$2ob2ob2obo$ob2ob2ob2o3$2ob2ob2ob2obo$ob2ob2ob2ob2o!
The coiled snake is an infinite wick, while these still lives are finite parts of the wick.
I feel like the numbering should start with 1, and anything shorter than order-1 coiled snake is not coiled.
So would this be a long^3 order-2 coiled snake?
Code: Select all
x = 15, y = 8, rule = B3/S23
2$b2o$bobo$4bo$5bob2ob2obo$6b2ob2ob2o!
No, it would have to be called something like a [long^3, normal, normal] order-2 coiled snake. Here's a [long^3, long, long^4] order-2 coiled snake:
Code: Select all
x = 18, y = 10, rule = B3/S23
2o$obo$3bo$4bob2o$5b2obob2o$9b2obo$13bo$14bo$15bobo$16b2o!
Code: Select all
4b8o$4b8o$4b8o$4b8o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4o8b4o$4b8o$4b8o$4b8o$4b8o![[ THEME 0 AUTOSTART GPS 8 Z 16 T 1 T 1 Z 19.027 T 2 T 2 Z 22.627 T 3 T 3 Z 26.909 T 4 T 4 Z 32 T 5 T 5 Z 38.055 T 6 T 6 Z 45.255 T 7 T 7 Z 53.817 LOOP 8 ]]
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confocaloid
- Posts: 3078
- Joined: February 8th, 2022, 3:15 pm
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by confocaloid » April 4th, 2024, 8:16 am
squareroot12621 wrote: ↑April 4th, 2024, 7:15 am
rutabaga wrote: ↑April 4th, 2024, 7:09 am
confocaloid wrote: ↑March 28th, 2024, 12:12 pm
The following three still lives are (from top to bottom) order-1 coiled snake, order-2 coiled snake, and order-3 coiled snake:
Code:
Select all
x = 13, y = 10, rule = B3/S23
2ob2obo$ob2ob2o3$2ob2ob2obo$ob2ob2ob2o3$2ob2ob2ob2obo$ob2ob2ob2ob2o!
The coiled snake is an infinite wick, while these still lives are finite parts of the wick.
I feel like the numbering should start with 1, and anything shorter than order-1 coiled snake is not coiled.
So would this be a long^3 order-2 coiled snake?
Code: Select all
x = 15, y = 8, rule = B3/S23
2$b2o$bobo$4bo$5bob2ob2obo$6b2ob2ob2o!
No, it would have to be called something like a [long^3, normal, normal] order-2 coiled snake. Here's a [long^3, long, long^4] order-2 coiled snake:
Code: Select all
x = 18, y = 10, rule = B3/S23
2o$obo$3bo$4bob2o$5b2obob2o$9b2obo$13bo$14bo$15bobo$16b2o!
And if you would rather have a [long^4, long^4, long^4] order-2 coiled snake, then you might as well rearrange things and say "order-2 coiled long^4 snake" instead:
Code:
Select all
x = 22, y = 14, rule = B3/S23
2o$obo$3bo$4bo$5bob2o$6b2obo$10bo$11bo$12bob2o$13b2obo$17bo$18bo$19bob
o$20b2o!
Extending it forever in both directions makes the coiled long^4 snake wick:
Code:
Select all
x = 59, y = 32, rule = B3/S23
obobo3$8b2o$8bobo$11bo$12bo$13bob2o$14b2obo$18bo$19bo$20bob2o$21b2obo$
25bo$26bo$27bob2o$28b2obo$32bo$33bo$34bob2o$35b2obo$39bo$40bo$41bob2o$
42b2obo$46bo$47bo$48bobo$49b2o3$54bobobo!
127:1
B3/S234c User:Confocal/R (isotropic CA, incomplete)
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