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### Re: Day & Night (B3678/S34678)

Posted: March 25th, 2019, 1:03 pm
Is this non-monotonic 123 cell c/6 cell ship known? I did not find it here or on related pages.

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``````x = 17, y = 18, rule = B3678/S34678
3bob5obo\$5b5o\$3obo2bo2bob3o\$2bo9bo\$bob4ob4obo\$3bob5obo\$4b7o\$4b7o\$3b9o\$
4b7o\$15o\$b6ob6o\$b4o5b4o\$bobobo3bobobo\$2bobo5bobo\$3bo7bo\$o3bo5bo3bo\$2bo
9bo!
``````
It is slightly larger (1 cell) than the smallest currently known c/6 ship.

### Re: Day & Night (B3678/S34678)

Posted: March 25th, 2019, 4:56 pm
2718281828 wrote:Is this non-monotonic 123 cell c/6 cell ship known? I did not find it here or on related pages.
I don't think it is, nice find! That's also kind of hilarious that it is one cell above the best known.

### Re: Day & Night (B3678/S34678)

Posted: March 25th, 2019, 6:17 pm
AforAmpere wrote:That's also kind of hilarious that it is one cell above the best known.
Yes. But this c/6:

Code: Select all

``````x = 15, y = 16, rule = B3678/S34678
7bo\$6bobo\$6b3o\$6bobo4\$6b3o\$6b3o\$4bo2bo2bo\$3bob5obo\$3b9o\$4ob5ob4o\$2obob
5obob2o\$b2o4bo4b2o\$7bo!
``````
is substantially smaller, 63 cells.

### Re: Day & Night (B3678/S34678)

Posted: March 25th, 2019, 6:44 pm
Awesome find! I'll update the wiki.

### Re: Day & Night (B3678/S34678)

Posted: March 25th, 2019, 9:04 pm
A slightly smaller 2c/5, 254 cells:

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``````x = 23, y = 30, rule = B3678/S34678
3bob2o9b2obo\$2b4o11b4o\$3b3o11b3o\$bo2bo13bo2bo\$obobo13bobobo\$2b2o3bo7bo
3b2o\$2b8o3b8o\$4b5o5b5o\$2b8o3b8o\$3b7o3b7o\$5b3o7b3o\$3b6o5b6o\$3b3obobo3bo
bob3o\$4bo2bobo3bobo2bo\$2b2ob4o5b4ob2o\$2b3o4bo3bo4b3o\$3bo5bo3bo5bo\$6bob
2o3b2obo\$6bo9bo\$3bo2bo3bobo3bo2bo\$2b8obob8o\$2b2o3bo3bo3bo3b2o\$bo2bo2bo
bobobobo2bo2bo\$b4o5b3o5b4o\$10b3o\$2b2ob3o7b3ob2o\$3bo2b2o2bobo2b2o2bo\$4b
2o3b5o3b2o\$5bob2obobob2obo\$6b4o3b4o!
``````

### Re: Day & Night (B3678/S34678)

Posted: March 25th, 2019, 9:15 pm
Nice. Which program are you using for these? ntzfind, gfind, or something else?

### Re: Day & Night (B3678/S34678)

Posted: March 26th, 2019, 10:04 am
AforAmpere wrote:Nice. Which program are you using for these? ntzfind, gfind, or something else?
Nothing else than the mentioned ones. Gfind and ntzfind. Ntzfind for the c/6 ship (with restricted length), for the 2c/5 gfind.

Maybe for the record: Another 2c/5 and a relatively small asymmetric c/3 (still a bit larger than the symmetric record holder).

Code: Select all

``````x = 51, y = 53, rule = B3678/S34678
9\$7b3o\$5b7o22bo\$4b2ob3ob2o20bobo\$4bo3bo4bo18b5o\$3b3o2bo2b2o18b2obob2o\$
5b2o2bob2o16b2o2bobo2b2o\$4b3o2bobobo14b2ob3ob3ob2o\$5bobo5b2o13b2o2b2ob
2o2b2o\$6b2o19b3o2bobobo2b3o\$5bo21b2ob2obobob2ob2o\$26bobo4b3o4bobo\$25b
3obobo2bo2bobob3o\$29b5ob5o\$24bob3ob9ob3obo\$25bo3b11o3bo\$24b2o2b13o2b2o
\$26bob13obo\$26bo2b11o2bo\$28b13o\$26b2obob7obob2o\$27bob11obo\$31bob3obo\$
34bo\$30b3obob3o\$29bob3ob3obo\$30b9o\$30b9o\$27b2o2b7o2b2o\$26b3o3b5o3b3o\$
26bob2obob3obob2obo\$25bo2b3o2b3o2b3o2bo\$26b2ob2o2b3o2b2ob2o\$25b6o7b6o\$
27bo2bo7bo2bo\$27b2o2bo5bo2b2o\$27bob2o7b2obo\$26b2obo9bob2o\$26b4o9b4o\$
26bo15bo!
``````
I think, a plausible speed where we might find a ship is 2c/7 diagonal.

### Re: Day & Night (B3678/S34678)

Posted: March 26th, 2019, 4:06 pm
2718281828 wrote:I think, a plausible speed where we might find a ship is 2c/7 diagonal.
Funnily enough, I've already been running a width-19 bilaterally symmetric 2c/7d gfind search for a few CPU hours now (but I started it well before you posted). I'll post if it finds anything, but I'd imagine ships probably don't exist until width 21 or 23.

EDIT: I was correct in my guess — there are no bilaterally-symmetric ships at width 19. Gfind output:

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``````./gfind B3678/S34678/L140/D7/N2/U
gfind 4.6, D. Eppstein, 10 February 2001
Rule: B3678/S34678/L140/D7/N2/U
Searching for speed 2c/7, width 19, diagonal, bilateral symmetry.
Queue full, depth 5, deepening 7, 524k/531k -> 34k/36k
Queue full, depth 5, deepening 14, 524k/533k -> 19k/23k
Queue full, depth 6, deepening 20, 524k/535k -> 8.1k/11k
Queue full, depth 7, deepening 26, 524k/535k -> 4.9k/8.4k
Queue full, depth 8, deepening 32, 524k/547k -> 1.9k/5.6k
Queue full, depth 10, deepening 37, 524k/566k -> 888/3.9k
Queue full, depth 13, deepening 41, 524k/618k -> 534/3.1k
Queue full, depth 15, deepening 46, 524k/565k -> 282/2.2k
Queue full, depth 19, deepening 49, 524k/672k -> 188/1.9k
Queue full, depth 23, deepening 52, 524k/641k -> 107/1.4k
Queue full, depth 28, deepening 54, 524k/602k -> 69/1.0k
Queue full, depth 32, deepening 57, 524k/572k -> 51/854
Queue full, depth 37, deepening 59, 524k/634k -> 44/881
Queue full, depth 41, deepening 62, 524k/597k -> 32/670
Queue full, depth 48, deepening 62, 524k/1.0M -> 24/634
Queue full, depth 56, deepening 61, 524k/994k -> 14/420
Queue full, depth 66, deepening 58, 524k/1.2M -> 19/469
Queue full, depth 72, deepening 59, 524k/958k -> 17/432
Queue full, depth 77, deepening 61, 524k/556k -> 10/371
Queue full, depth 82, deepening 63, 524k/628k -> 7/241
Queue full, depth 93, deepening 59, 524k/1.6M -> 4/261
Queue full, depth 119, deepening 40, 524k/3.0M -> 5/384
Queue full, depth 140, deepening 26, 524k/1.7M -> 53/445
Queue full, depth 145, deepening 28, 524k/648k -> 83/480
Queue full, depth 154, deepening 26, 524k/1.2M -> 97/809
Queue full, depth 163, deepening 24, 524k/1.1M -> 342/1.6k
Queue full, depth 169, deepening 25, 524k/939k -> 313/1.7k
Queue full, depth 174, deepening 27, 524k/827k -> 105/903
Queue full, depth 181, deepening 27, 524k/943k -> 33/511
Queue full, depth 195, deepening 20, 524k/1.5M -> 59/627
Queue full, depth 204, deepening 18, 524k/1.1M -> 55/590
Queue full, depth 218, deepening 11, 524k/2.3M -> 516/2.0k
Queue full, depth 224, deepening 12, 524k/1.0M -> 36/483``````
Unfortunately, I did not think to keep the longest partial. If anyone else wants to run the width-21 and/or 23 searches, feel free — it seems like they might be worthwhile, but I don't have the patience or the CPU time to spare at the moment.

### Re: Day & Night (B3678/S34678)

Posted: March 27th, 2019, 8:55 am
New smallest 2c/5 with 164 cells:

Code: Select all

``````x = 26, y = 20, rule = B3678/S34678
5b3o10b3o\$3b3ob3o6b3ob3o\$2b3o2b4ob2ob4o2b3o\$3b2o2b3ob4ob3o2b2o\$2bob3o
2bob4obo2b3obo\$2b3o5b6o5b3o\$2bo7bo4bo7bo\$2o2bo6b4o6bo2b2o\$3bobo5bo2bo
5bobo\$3b2o16b2o\$2bo2b3o10b3o2bo\$5b2obo8bob2o\$b8o8b8o\$2bob4o10b4obo\$2b
2ob4o8b4ob2o\$4bo2bo10bo2bo\$6bo12bo\$8bo8bo\$7b2o8b2o\$8bo8bo!
``````

### Re: Day & Night (B3678/S34678)

Posted: August 24th, 2019, 1:35 am
velcrorex wrote:Found this pattern and I'm not sure quite how to classify it. It's like a wickstretcher, except the wick is "noisy".

Code: Select all

``````x = 40, y = 13, rule = B3678/S34678
bboo13bo\$boo12b6o\$5o8boob3o\$b3obo7b6obboo6bobbo3boo\$bbo3bob3obbobb4obb
o4b5ob5o\$3bobboo3bobob11oboobb8o\$4b10obbob7o3boobb6obo\$3bobboo3bobob
11oboobb8o\$bbo3bob3obbobb4obbo4b5ob5o\$b3obo7b6obboo6bobbo3boo\$5o8boob
3o\$boo12b6o\$bboo13bo!
``````
Just call it a "wickpuffer".
I will call it a "wickpuffer", since I can`t find a pattern of the oscillating "noise", which might be simulating a dirty puffer in a 1dimensional CA (i dunno)
Can anyone prove that this is aperiodic or not?