Day & Night (B3678/S34678)

Ivy · Post by **Ivy** » April 30th, 2024, 3:03 pm

asymmetrical spaceship with 4 engines

x = 189, y = 225, rule = B3678/S34678
89$56bo99bo$56b2o97b2o$57bo97bo$55b4o95b4o$55b4o95b4o$56b2obo93bob2o$
56b3o95b3o25$71bo69bo$68bobo71bobo$70bo71bo$61bo3bob3obo69bob3obo3bo$
60b2o3b7o69b7o3b2o$59bobo3b7o69b7o3bobo$60b2o2b7o71b7o2b2o$60bob10o69b
10obo$60b2o2b7o71b7o2b2o$64b7o71b7o$64b5o75b5o$66b4o73b4o$66b3o75b3o$
50b3o13b2o77b2o13b3o$49b2ob2o105b2ob2o$48b6o105b6o$49b4o107b4o$47bob2o
bo107bob2obo$47b5o109b5o$46bo2b2obo107bob2o2bo$48b3o111b3o$45bo2b3obo
107bob3o2bo$46bob2obo109bob2obo$52bo107bo$52bo107bo5$64bo83bo$64bo83b
o$62b5o79b5o2$59b3o2bo2b3o73b3o2bo2b3o$45b2o7b2o3bobo5bobo73bobo5bobo
3b2o7b2o$43b4o7b7ob5ob2o73b2ob5ob7o7b4o$43b5o5b5o3bo2bo2bo77bo2bo2bo3b
5o5b5o$43bobob2o3b2obobo6bo83bo6bobob2o3b2obobo$43b2o2bo5bo2b2o6bo83b
o6b2o2bo5bo2b2o$48b2ob2o8b7o77b7o8b2ob2o$47b7o7b7o77b7o7b7o$47b7o8b5o
79b5o8b7o$48bo3bo8b7o77b7o8bo3bo$48b5o8b7o77b7o8b5o$48b5o10b3o81b3o10b
5o$48b5o11bo83bo11b5o$47b7o9b3o81b3o9b7o$48b5o8bob3obo77bob3obo8b5o$48b
5o9b5o79b5o9b5o$47b7o7b7o77b7o7b7o$49b3o9b7o77b7o9b3o$46b9o6b7o77b7o6b
9o$46b9o6b7o77b7o6b9o$46bob5obo7b5o79b5o7bob5obo$47b7o8b5o79b5o8b7o$48b
5o10b3o81b3o10b5o$49b3o10b5o79b5o10b3o$49b3o11b3o81b3o11b3o$48b5o9b5o
79b5o9b5o$48b5o9b5o79b5o9b5o$46bob5obo5bob5obo75bob5obo5bob5obo$46b9o
5b9o75b9o5b9o$45bob7obo3bob7obo73bob7obo3bob7obo$46bo2b3o2bo5bo2b3o2b
o75bo2b3o2bo5bo2b3o2bo$49b3o11b3o81b3o11b3o$50bo13bo83bo13bo$49b3o11b
3o81b3o11b3o$48bobobo9bobobo79bobobo9bobobo$48bobobo9bobobo79bobobo9b
obobo$45b2ob5ob2o3b2ob5ob2o73b2ob5ob2o3b2ob5ob2o$45bo4bo4bo3bo4bo4bo73b
o4bo4bo3bo4bo4bo$44b5o3b5ob5o3b5o71b5o3b5ob5o3b5o$44bobobo3bobobobobo
bo3bobobo71bobobo3bobobobobobo3bobobo$45b3o5b3o3b3o5b3o73b3o5b3o3b3o5b
3o!

Ivy · Post by **Ivy** » April 30th, 2024, 3:33 pm

Code: Select all

x = 41, y = 57, rule = B3678/S34678
19bobo$7b2o10b3o10b2o$6bo2b2o6b7o6b2o2bo$4bob3o8b7o8b3obo$3b6o8bob3ob
o8b6o$2b11o6b3o6b11o$b8o3bo4bob3obo4bo3b8o$2b6o3b2obo2b7o2bob2o3b6o$3b
8o3bo2b7o2bo3b8o$4b11ob9ob11o$5b2o2bob3o4b5o4b3obo2b2o$3b2o12b7o12b2o
$6bo2bo5bob7obo5bo2bo$4b6o4bob9obo4b6o$2b7o5b13o5b7o$6b4o5b11o5b4o$5b
6o4b11o4b6o$4b6o5b11o5b6o$5b5o8b5o8b5o$5b4o7bo7bo7b4o$3bob5o9b3o9b5ob
o$3b7o10bo10b7o$3b7o9b3o9b7o$2b9o8b3o8b9o$2b9o6b7o6b9o$13o7bo7b13o$13o
6b3o6b13o$3ob5ob3o3b9o3b3ob5ob3o$2bo2bobo2bo7b5o7bo2bobo2bo$6bo11b5o11b
o$6bo10b7o10bo$5b3o9b7o9b3o$4b5o8b7o8b5o$4b5o8bob3obo8b5o$5b3o10b5o10b
3o$4b5o7b9o7b5o$5b3o7b11o7b3o$5b3o9b7o9b3o$6bo11b5o11bo$4b5o7bob5obo7b
5o$2b9o5b9o5b9o$2b9o7b5o7b9o$4b5o9b5o9b5o$5b3o11b3o11b3o$4b5o9b5o9b5o
$5b3o11b3o11b3o$5b3o11b3o11b3o$3bobobobo7bobobobo7bobobobo$5b3o11b3o11b
3o$5b3o11b3o11b3o$4bobobo9bobobo9bobobo$4bobobo9bobobo9bobobo$b2ob5ob
2o3b2ob5ob2o3b2ob5ob2o$bo4bo4bo3bo4bo4bo3bo4bo4bo$5o3b5ob5o3b5ob5o3b5o
$obobo3bobobobobobo3bobobobobobo3bobobo$b3o5b3o3b3o5b3o3b3o5b3o!

puffer that lays large rectangles, calling it Brick Puffer

confocaloid · Post by **confocaloid** » April 30th, 2024, 3:47 pm

Ivy wrote: April 30th, 2024, 1:56 pm

Ivy wrote: April 30th, 2024, 2:51 pm

Ivy wrote: April 30th, 2024, 3:03 pm

Ivy wrote: April 30th, 2024, 3:33 pm

Please do not make multiple posts in a row. There is an edit button above your post, which allows editing a recent post in the thread to add something.

Forum rules wrote: March 18th, 2016, 8:52 pm

...

...

In order to keep the forums organized, please:

Do not post multiple messages consecutively in the same topic. If your message is the most recent one in a topic, simply edit it if you have additional things to add.

...

...

b-engine · Post by **b-engine** » April 30th, 2024, 11:52 pm

Ivy wrote: April 22nd, 2024, 3:54 pm (these)
Code: Select all
 x = 15, y = 49, rule = B3678/S34678
5o$obobo$b3o!
which I've yet to see any spaceship have apart from mine.

This frontend is well known, and in fact the first known spaceship in D&N contains it:

Code: Select all

x = 5, y = 8, rule = B3678/S34678
2bo$2bo$2bo$2bo$b3o$5o$obobo$b3o!

Ivy · Post by **Ivy** » May 3rd, 2024, 1:29 pm

b-engine wrote: April 30th, 2024, 11:52 pm This frontend is well known, and in fact the first known spaceship in D&N contains it:
Code: Select all
x = 5, y = 8, rule = B3678/S34678
2bo$2bo$2bo$2bo$b3o$5o$obobo$b3o!

I'm talking about the Double Engine which a few ships I've found like the Wicker ship have

Code: Select all

x = 5, y = 8, rule = B3678/S34678
5b3o$4bobobo$4bobobo$b2ob5ob2o$bo4bo4bo$5o3b5o$obobo3bobobo$b3o5b3o!

Ivy · Post by **Ivy** » May 5th, 2024, 7:09 pm

praosylen wrote: January 17th, 2018, 10:13 pm Weird p4 wick:

Code: Select all

x = 6, y = 95, rule = B3678/S34678
3bo$3bo$2b3o$2bobo$2bobo2$3bo$3bo$2b3o$2bobo$2bobo2$3bo$3bo$2b3o$2bobo
$2bobo2$3bo$3bo$2b3o$2bobo$2bobo2$4bo$4bo$3b3o$3bobo$3bobo2$3bo$3bo$2b
3o$2bobo$2bobo2$4bo$4bo$3b3o$3bobo$3bobo2$3bo$3bo$2b3o$2bobo$2bobo2$2b
o$2bo$b3o$bobo$bobo2$bo$bo$3o$obo$obo2$2bo$2bo$b3o$bobo$bobo2$3bo$3bo$
2b3o$2bobo$2bobo2$3bo$3bo$2b3o$2bobo$2bobo2$3bo$3bo$2b3o$2bobo$2bobo2$
3bo$3bo$2b3o$2bobo$2bobo2$3bo$3bo$2b3o$2bobo$2bobo!

Anybody know of a spaceship that would match this wick speed to create a new spaceship?

Chai · Post by **Chai** » May 5th, 2024, 7:14 pm

It looks like the wick burns at 6c/8, which is faster than the fastest possible orthogonal spaceship speed in Day & Night.

Ivy · Post by **Ivy** » May 7th, 2024, 11:58 am

Chai wrote: May 5th, 2024, 7:14 pm It looks like the wick burns at 6c/8, which is faster than the fastest possible orthogonal spaceship speed in Day & Night.

yeah, it does :/

also does anybody have a wickstretcher for this?

velcrorex wrote: November 12th, 2016, 8:52 am Sorry, I included two copies of the one ship to make comparing the front and back ends easier.
Here's a p6 thing that I'm hoping also is new. Stabilization could probably be improved.

Code: Select all

x = 89, y = 16, rule = B3678/S34678
50b2o$50b2o4b2o14b2o2b2o4b2ob2o$49b4ob3obob2obo2b2o4b6o4b2ob2o$50b2ob
2o2bob2ob5obob4o9bo$49b2obo2bobo2bo3bo2bob2o4bo4b3ob5o$49bo3b2obob2ob
2o3bo2bo3b5obobob2o2b2o$8bo5bo5bo5bo5bo5bo5bob6obob2obob2ob3ob2ob10o$
2bo3b2o4b2o4b2o4b2o4b2o4b2o4b2o2bo3b3obob5o2bob2ob2ob3ob5o$3o2b4o2b4o
2b4o2b4o2b4o2b4o2b5obobob2obobo2bob4obob2ob2o2bobobobo$5ob5ob5ob5ob5ob
5ob5ob3o6b5o2b2o2bo4b3o3bo3bo2b2o2b2ob2o$b45ob2ob2ob3ob2ob2o5b3ob6ob2o
2b4ob2o$b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob6obob2o2bo5b3obo5bob5o
bo2b2o$42b2o2bobo2bo2bob2o4b4o3bo3bo4bo2bob2ob3o$42b2o2b2o2b10ob7ob2ob
o2b3ob2obob2ob2o$44b2o2b2o2bo2b2obob2ob2obob2ob5ob2ob2o$44b2o2b2o23bo!

muzik · Post by **muzik** » August 2nd, 2024, 8:00 am

Layz Boi wrote: February 19th, 2020, 4:51 pm Why is the "smallest known" P10 oscillator in the wiki so big? There are obviously smaller ones like this monomer of a known oscillator, and known roter with a reduced stator. Both have minimum pop <40.
Code: Select all
x = 27, y = 8, rule = B3678/S34678
24bo$22bob3o$2o6bo13b5o$5o2b4o7b2o2b4o$b4ob5o7b9o$b8o10b4o2b2o$3b6o10b
2o$5b2o!

Probably worth noting that these two rotors are time-symmetric and also inhabit the exact boundary of dayspace and nightspace, with half existing in living cells and the other half existing in dead cells. Has anyone studied this type of symmetry?

DroneBetter · Post by **DroneBetter** » August 22nd, 2024, 9:19 pm

AforAmpere wrote: March 24th, 2019, 6:39 pm What I believe are the smallest known examples of each irreducible speed:

Code: Select all

x = 342, y = 81, rule = B3678/S34678
b4ob2o12bo8bo17b2o2b2o2b2o16bo5bo10b4o6b4o7bo4bobo4bo8bo2bo5bo2bo12bo11bo5bo14b2o14b3o2b3o13b3o15b2o30b2o27b3o2b2o21bo$obo3b3o10b3o6b3o14b2obob4obob2o11b5o3b5o8b2o3b2o3b2o8b2o3b3o3b2o8b2ob2o3b2ob2o11bo2bo8bobo3bobo13b2o12bob2o4b2obo10b3obo12b3obo27bob3o24bo3b5o21b3o$5ob4o8b4o6b4o12bobo2b2o2b2o2bobo10b4ob3ob4o8bo2b2o2b2o2bo9b2o2b3o2b2o8b2o4bobo4b2o9b2o2b2o7b3o3b3o26b14o12b2o12b5o28b4o24b3o2b3o22b4o$4b5o12b2o4b2o16bo2b2ob2ob2o2bo11bob2o5b2obo9b10o12b2o3b2o10b3o2b5o2b3o12b2o27b2ob2ob2o9bo4b2o4bo13b2o12b5o28b2o26b5ob2o25b2o$b2o2bo3bo7bo6b2o6bo14bo8bo14b2o7b2o11b8o14b2ob2o12bobob5obobo12bobo8b2o5b2o9b2o2b2o2b2o8b2ob2o2b2ob2o13bo11b5o27b3o2bo25bob2obob2o21bob4o$18b4o6b4o13b2obo6bob2o11bobo7bobo11bob2obo15b5o35bo11b2o7b2o9b8o11bobo2bobo28bob3o25bob2o27bob5o2bo20bo3bob2o$20b2ob4ob2o12b2obob2o6b2obob2o7b2o11b2o11bo2bo34bo9bo10b2o11bob2o3b2obo10b6o13b2o2b2o27b2obo27bobobo28b2ob4obo16b2obo6b2o$20b10o11b2obob2ob6ob2obob2o31b2o2b2o17bo34b2o15bobobobo10bob6obo10b8o24bob2o28bobobo27b6ob2o18bobob2o2bob3o$21b8o11bo3bo2bob2o2b2obo2bo3bo28b3o4b3o51bo15b2o3b2o12b6o13bob2obo26bobo27bobobo29bob2ob4o17b2o2b2obo$18b2o2b6o2b2o9b3ob3ob6ob3ob3o28b3obo2bob3o51b2o15bobo15b4o15bo2bo26bobo27bobobo27bo2b3obo22bobo2bo$17b3o2b6o2b3o8bo3b2ob8ob2o3bo27b5o4b5o50bobo32b4o74bobobo24b3ob3o2bo25bo2bo$17bo2bob6obo2bo9b3obob8obob3o28b5o4b5o50b2o13b2obob2o13b4o14bo4bo52b2obobo26b4obo29b2obo$17b4obob2obob4o11bo2b10o2bo30bob10obo51bo13b7o11b2ob2ob2o12b2o2b2o52bobobo24b10o29b3o$15b3ob12ob3o10bob10obo33b10o53b2o13b5o13bob2obo12bobo2bobo52bobo23bob8o$17b4o3b2o3b4o10b2o2b10o2b2o31b10o54b4o8b3o3b3o10bo6bo9b5o2b5o48b2ob2o23b11o$17b16o10bo5b6o5bo34bo2bo57b2obo6b3o7b3o11b2o14b3o2b3o51bo25bob10o$20bo3b2o3bo14b2o2b8o2b2o36b2o60bo8b5ob5o11b4o13b8o49bo26bob9obo$23b4o17bob2ob6ob2obo35b4o56b2obo10b7o14b2o11b3o3b2o3b3o45b2o26b11o$21b8o13bobo5b4o5bobo29b2o3b2o3b2o53b2o9b11o11bo2bo11bo2bo4bo2bo42bo3bo25bo2b10o$21b8o14bob3o3b2o3b3obo30b3ob4ob3o51bobo14b3o15b4o11b2obob2obob2o41b4o28b2o2b6o$19bob8obo11bobobobo2b2o2bobobobo29b4ob2ob4o50b3obo12b5o15b2o12b3ob4ob3o38b7o27bo2bo2b3ob2o$19bob8obo10b2ob3obo6bob3ob2o27bo3b6o3bo49b2ob3o12b3o14b6o12bob4obo40b3o4bo26b5ob2obo$18b14o9bob3obo8bob3obo30b3o2b3o52bo2bo31bob2obo12b8o39bob4o31b2obob2o$17b16o12b3o8b3o34bobo2bobo55b2o27b2o2b4o2b2o8b10o39b5o30bobobo$19b12o17b3o2b3o37bo6bo52bobo28bo2b8o2bo8b8o41b2o34b2obo$20b10o18b2ob2ob2o38bo4bo54bo29b14o6b12o39b2o$20b10o19b6o35bo3bo4bo3bo49bo31b12o7b2ob6ob2o40bo$19bob8obo16b2o2b2o2b2o33b3obo4bob3o51bo28bob10obo$22b6o22bo2bo36b3o8b3o50bobo28b12o$20bob6obo62bo8bo52bob2o27bo3bo2bo3bo11b4o$21b8o60bo3bo6bo3bo47b3ob3o48b6o$19bo2b6o2bo59b2obo6bob2o49b2o33b6o14b4o$22b6o62b3obob2obob3o51bobo29b8o11b2o4b2o$20bob6obo66b2o57b3o29bo2b2o2bo11bobo2bobo$22b2o2b2o63bobobo2bobobo53b2o29bo2b2o2bo11b2ob2ob2o$21bo6bo62b2o2bo2bo2b2o53b2o31bo2bo$21b3o2b3o62b5o2b5o53bob2o48bo2bo$19bo2bob2obo2bo62b3o2b3o54b2obo49bo2bo$20bobo4bobo61bob8obo51bob3o50b2o$17bob5o2b5obo57bo4b4o4bo48b2ob5o$17b5obo2bob5o57bobo2b4o2bobo49bob5o$16bob3o8b3obo56b5ob2ob5o49bo2b3o$17b2ob2o6b2ob2o60b2o4b2o56b3o$16bo3bo8bo3bo57bo2bo4bo2bo54bo$16bobo12bobo57b3o6b3o55b2o$157b2o$16b2ob2o8b2ob2o120b2ob2o$17bo2b2o6b2o2bo121b2o$16bo2b3o6b3o2bo$18b5o4b5o$16b6o6b6o$16b5o8b5o$16bob4o6b4obo$18b2obo6bob2o$17b2o12b2o$17bo14bo$16b3obo8bob3o$16b3o12b3o$15b6o8b6o$15b3obobo6bobob3o$16b3ob2o6b2ob3o$15b3o5bo2bo5b3o$15b3obo2b6o2bob3o$17bo2b10o2bo$19b12o$20b10o$20bob6obo$20b10o$23bo2bo$21b8o$21b2ob2ob2o$21bobo2bobo$23bo2bo$21b3o2b3o$20b2obo2bob2o$19b2obo4bob2o$19bob3o2b3obo$19b2obo4bob2o$21b2o4b2o$18bo12bo$19b2o8b2o!

I'm collecting these here to cite for the wiki.

the symmetric c/6d you showed here, with minpop 184, is beaten by two new ones, of minpops 116 and 167 respectively,

Code: Select all

x = 45, y = 45, rule = B3678/S34678
20bo$19bob2o$18b2o2b2o$19bob2o$19bob4o$20b2ob5o$22bo2b2o$22bo2b3o$12b2o8b2o2b3o$12b2ob2o5bobobobob2o$10b5obobo7bobo3bobo$9b2o2bob3o6b6o2bobo$9bob4o2bobo6bob8o$9b2ob2o3b4o9b5obo$12bobo2b4o8bob6o$11b3o4b6o4b12o$11b2ob3ob5o5b12o$12bob4ob5o4bob11o$2b2ob2o8b4ob2o9b9o$b8o7b3o2bob2o6b7o2bob2o$2o3b4o6b3o2b2ob2o6bob5o2bob2o$2o3b2obobo9bob3obo6bobob2ob5o$bo2bob2obo11b6o10bobob3o$4ob4o12b6o10b7o$9o12b2ob5o6bobob2o$b2ob5obo12bob5o8b3o$b3ob6o14bob2o8bo$4bo3bobo14bo2bo11bo$3bo3b3o4b2o$12b3o2bo$11b6obo$11b10o$10b11o$10bob11o$12b10o$11bob10o$12b10ob2o$13b8ob2o$13b9o3b2o$15b4obob3o$15bobobobob3o$18b2ob3o$18bo2b2o$20bobo$20bo!

their footprints are 14 half-diagonals wide (the thinnest possible for glide-symmetric c/6d's), and among 14-hd-wide ones, they are the only 22×22 (using rlifesrc's metric of the minimal union of three successive iterations) and 28×28 (with nothing in between).

edit 2024-08-26: longest partial found by rlifesrc for a 2c/7d at w21s (improving upon praosylen's search for a w19s)

Code: Select all

x = 36, y = 36, rule = B3678/S34678
..oo.oooo...........................$
.ooo.oooooo.........................$
oooo.o.ooo..o.......................$
ooo.o.ooooo.o.......................$
...o.ooo.oooo.......................$
ooo.o.o.ooo.o.......................$
oo.ooo.oooo.........................$
ooooo.oo...o...o....................$
oooo.oo..oo.oo.oo...................$
.oooooo.ooo..oooo...................$
.o.oooo.oo.oo.......................$
....o..o..o.oo.oo.o.................$
..oooo..o.oooooo.oo.oo..............$
........oo.oooo...o...o.............$
.........o..ooo.o.o.ooo.............$
.......ooo.oo...ooo.oooo............$
........oo.o..oooo.ooooo.o..........$
............o..oo..o.ooooo..........$
...........ooooo..oo..o..o..........$
................oooo..o.oo..........$
............o.ooo...o.oo..ooo.......$
............o.oooo...ooo..oo........$
.............ooooooooo.ooo..o.o.o...$
...............ooo..ooooooo.........$
.................o.o..ooooo.oo.o.o..$
................oooo..oooo.o.oo..o.o$
....................oo.oo.....o..obb$
....................oo...o.o...oobbb$
....................o.o.o...oooobbbb$
........................oo..ooo.bbbb$
......................o..oo.oobbbbbb$
........................o..oo.bbbbbb$
......................o....obbbbbbbb$
........................ooobbbbbbbbb$
..........................bbbbbbbbbb$
.........................obbbbbbbbbb!

edit 2024-09-01: also per rlifesrc, the orthogonally-thinnest c/5d is 9 columns

Code: Select all

x = 8, y = 43, rule = B3678/S34678
b4o$obo$3o2bo$obo3$2b3o$2b4o$3b2o$2b5o$3b4o2$2obob2o$2bobobo$2b5o$4b2o2$5bo$3bobo$3b3obo$2b6o$6bo$6b2o$5bobo$2b2obo$2b3o$2bo$3bo$3bo$2bo$4bo$2b3o$2b2obo$b3o$b5o$b2obo$2b3ob2o$2b2obo$bo4bo$bobo$b2obo$obo$2o!

and the laterally-thinnest c/6d exceeds 11 half-diagonals; longest partial

Code: Select all

x = 44, y = 43, rule = B3678/S34678
.oo.o.......................................$
ooo.ooo.....................................$
ooo.o.......................................$
...oooo.....................................$
..o..o.oo...................................$
.......oo...................................$
...ooo...oo.................................$
....oo.o...oo...............................$
.......oooo.o...............................$
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.......................................bbbbb!

Edit 2024-09-02: I convinced Darcy Li to do a 3c/7 search with qfind at w23o (since AforAmpere had disproven w21o and May13 had found w25o, and my computer segfaults on it), she showed me a partial which I noticed was comprised of two noninteracting parts separated by a segment of a wick (which is period-3 spatially!), and as such it is completable into a wickstretcher

Code: Select all

x = 49, y = 138, rule = B3678/S34678
5b3o7b3o13b3o7b3o$5b3o7b3o13b3o7b3o$5bobo7bobo13bobo7bobo$5b2o9b2o13b2o9b2o$5bo11bo13bo11bo$5b2obo5bob2o13b2obo5bob2o$2b2o3bo7bo3b2o7b2o3bo7bo3b2o$4b3ob2o3b2ob3o11b3ob2o3b2ob3o$4b5o5b5o11b5o5b5o$4bo2b3o3b3o2bo11bo2b3o3b3o2bo$4bo2b3o3b3o2bo11bo2b3o3b3o2bo$3b3obo7bob3o9b3obo7bob3o$3b3ob2o5b2ob3o9b3ob2o5b2ob3o$3b2o2b2o5b2o2b2o9b2o2b2o5b2o2b2o$3b2o4bo3bo4b2o9b2o4bo3bo4b2o$3bo3b2o5b2o3bo9bo3b2o5b2o3bo$5obo9bob5o3b5obo9bob5o$5b4o5b4o13b4o5b4o$3bo3bo7bo3bo9bo3bo7bo3bo$2bo3b2obo3bob2o3bo7bo3b2obo3bob2o3bo$4bo2bob2ob2obo2bo11bo2bob2ob2obo2bo$8bo2bo2bo19bo2bo2bo$5b2obob3obob2o13b2obob3obob2o$5bo2b7o2bo13bo2b7o2bo$5b2o2b5o2b2o13b2o2b5o2b2o$7b9o17b9o$6b11o15b11o$5b2ob7ob2o13b2ob7ob2o$2b2obo2b7o2bob2o7b2obo2b7o2bob2o$2b3o3b7o3b3o7b3o3b7o3b3o$b4ob2ob5ob2ob4o5b4ob2ob5ob2ob4o$2b3o2bo2b3o2bo2b3o7b3o2bo2b3o2bo2b3o$b4o5b3o5b4o5b4o5b3o5b4o$3b3obob5obob3o9b3obob5obob3o$5b3obobobob3o13b3obobobob3o$4b3o3bobo3b3o11b3o3bobo3b3o$6bo9bo15bo9bo$8b3ob3o19b3ob3o$b6ob7ob6o5b6ob7ob6o$2bo4b2ob3ob2o4bo7bo4b2ob3ob2o4bo$4bo4b2ob2o4bo11bo4b2ob2o4bo$3bo2bobo5bobo2bo9bo2bobo5bobo2bo$4b2obo2bobo2bob2o11b2obo2bobo2bob2o$3b2obobo2bo2bobob2o9b2obobo2bo2bobob2o$6b2obobobob2o15b2obobobob2o$5bobob5obobo13bobob5obobo$4b15o11b15o$5b13o13b13o$3b3obo7bob3o9b3obo7bob3o$4b3o9b3o11b3o9b3o$2b3o2b3o3b3o2b3o7b3o2b3o3b3o2b3o$8b3ob3o19b3ob3o$6bob2o3b2obo15bob2o3b2obo$9bo3bo21bo3bo$9bo3bo21bo3bo$4b3obo5bob3o11b3obo5bob3o$5b3obo3bob3o13b3obo3bob3o$6b2o7b2o15b2o7b2o$8b7o19b7o$7b2obobob2o17b2obobob2o$9bobobo21bobobo$7b2o2bo2b2o17b2o2bo2b2o$9b5o21b5o$7bob5obo17bob5obo$8bo5bo19bo5bo$11bo25bo$6b4o3b4o15b4o3b4o$5b2o2bo3bo2b2o13b2o2bo3bo2b2o$5bob2ob3ob2obo13bob2ob3ob2obo$3b2o2b2obobob2o2b2o9b2o2b2obobob2o2b2o$6b2obobobob2o15b2obobobob2o$5bo4bobo4bo13bo4bobo4bo$5b4ob3ob4o13b4ob3ob4o$4bo2b3o3b3o2bo11bo2b3o3b3o2bo$7b2ob3ob2o17b2ob3ob2o$7b2o5b2o17b2o5b2o$4b4o3bo3b4o11b4o3bo3b4o$4b2o2b3ob3o2b2o11b2o2b3ob3o2b2o$3b3ob9ob3o9b3ob9ob3o$3b2o4bo3bo4b2o9b2o4bo3bo4b2o$3b2o13b2o9b2o13b2o2$3bo15bo9bo15bo$3bo15bo9bo15bo$2bobo13bobo7bobo13bobo2$4b2o11b2o11b2o11b2o$4b2o11b2o11b2o11b2o$4bobo9bobo11bobo9bobo$5b4o5b4o13b4o5b4o$5b2o9b2o13b2o9b2o$5b4o5b4o13b4o5b4o$4b4o7b4o11b4o7b4o$4b2ob2o5b2ob2o11b2ob2o5b2ob2o$5b2obo5bob2o13b2obo5bob2o$5bo11bo13bo11bo$4bo13bo11bo13bo$4bo3b7o3bo11bo3b7o3bo$5b2ob3ob3ob2o13b2ob3ob3ob2o$4b2o2b3ob3o2b2o11b2o2b3ob3o2b2o$5bo2b2obob2o2bo13bo2b2obob2o2bo$8bo5bo19bo5bo$7bo3bo3bo17bo3bo3bo$3b2obo9bob2o9b2obo9bob2o$3bob2o2b5o2b2obo9bob2o2b5o2b2obo$4b2o2b2obob2o2b2o11b2o2b2obob2o2b2o$3b4o3b3o3b4o9b4o3b3o3b4o$3b17o9b17o$4b15o11b15o$3b17o9b17o$3b2o4b5o4b2o9b2ob2ob2ob2ob2ob2o$9b5o$5bob3obob3obo$3b2o3bobobobo3b2o$3bo2b2o3bo3b2o2bo$3b6o5b6o$4b4obo3bob4o$4bob3ob3ob3obo$8bob3obo$3b3o2b2obob2o2b3o$5b4ob3ob4o$3b5o2b3o2b5o$5bobo3bo3bobo$3b4o3b3o3b4o$8b2obob2o$5bo3b5o3bo$5bobo2bobo2bobo$4b3ob2o3b2ob3o$3bobo3b2ob2o3bobo$5b2ob2obob2ob2o$2b2o2b3o5b3o2b2o$2b2ob2o3bobo3b2ob2o$2b2o6b3o6b2o$3bobobo7bobobo$3bobo2bobobobo2bobo$3b17o$2bo3b2obo3bob2o3bo$4bo2b9o2bo!

also, collection of small symmetrical c/3d chequercrawlers; first two by wildmyron, 2018, next three are the only 25-half-diagonal-wide ones fitting in 62×62, and finally the smallest I have found thus far; a 41×41 w27s (also the only one in 42×42)

Code: Select all

x = 126, y = 152, rule = B3678/S34678:T126,152
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Edit 2024-09-03: the first 3c/7 w23o result outputted by Darcy Li's qfind search (the only one with depth <1096)

Code: Select all

x = 23, y = 132, rule = B3678/S34678
5b3o7b3o$5b3o7b3o$5bobo7bobo$5b2o9b2o$5bo11bo$5b2obo5bob2o$2b2o3bo7bo3b2o$4b3ob2o3b2ob3o$4b5o5b5o$4bo2b3o3b3o2bo$4bo2b3o3b3o2bo$3b3obo7bob3o$3b3ob2o5b2ob3o$3b2o2b2o5b2o2b2o$3b2o4bo3bo4b2o$3bo3b2o5b2o3bo$5obo9bob5o$5b4o5b4o$3bo3bo7bo3bo$2bo3b2obo3bob2o3bo$4bo2bob2ob2obo2bo$8bo2bo2bo$5b2obob3obob2o$5bo2b7o2bo$5b2o2b5o2b2o$7b9o$6b11o$5b2ob7ob2o$2b2obo2b7o2bob2o$2b3o3b7o3b3o$b4ob2ob5ob2ob4o$2b3o2bo2b3o2bo2b3o$b4o5b3o5b4o$3b3obob5obob3o$5b3obobobob3o$4b3o3bobo3b3o$6bo9bo$8b3ob3o$b6ob7ob6o$2bo4b2ob3ob2o4bo$4bo4b2ob2o4bo$3bo2bobo5bobo2bo$4b2obo2bobo2bob2o$3b2obobo2bo2bobob2o$6b2obobobob2o$5bobob5obobo$4b15o$5b13o$3b3obo7bob3o$4b3o9b3o$2b3o2b3o3b3o2b3o$8b3ob3o$6bob2o3b2obo$9bo3bo$9bo3bo$4b3obo5bob3o$5b3obo3bob3o$6b2o7b2o$8b7o$7b2obobob2o$9bobobo$7b2o2bo2b2o$9b5o$7bob5obo$8bo5bo$11bo$6b4o3b4o$5b2o2bo3bo2b2o$5bob2ob3ob2obo$3b2o2b2obobob2o2b2o$6b2obobobob2o$5bo4bobo4bo$5b4ob3ob4o$4bo2b3o3b3o2bo$7b2ob3ob2o$7b2o5b2o$4b4o3bo3b4o$4b2o2b3ob3o2b2o$3b3ob9ob3o$3b2o4bo3bo4b2o$3b2o13b2o2$3bo15bo$3bo15bo$2bobo13bobo2$4b2o11b2o$4b2o11b2o$4bobo9bobo$5b4o5b4o$5b2o9b2o$5b4o5b4o$4b4o7b4o$5b3obo3bob3o$5b5o3b5o$6b4o3b4o$5b3o7b3o$3b4obo5bob4o$3b5obo3bob5o$4b4obo3bob4o$3b5ob2ob2ob5o$3b4ob2obob2ob4o$4b5ob3ob5o$3b6o2bo2b6o$3b8ob8o$4b5o5b5o$3b5o2b3o2b5o$3b6o5b6o$4b15o$2bob3obo5bob3obo$3b3obo7bob3o$2bo17bo$4bob2o7b2obo$3b2o2b2o5b2o2b2o$5bo3bo3bo3bo$5b3o2bobo2b3o$4b6o3b6o$5b13o$4b7ob7o$4bob4obob4obo$4b3obo2bo2bob3o$3b3o2b7o2b3o$4b2ob2o5b2ob2o$bo2bobo4bo4bobo2bo$b2o2bo2bo5bo2bo2b2o$b2o2bo11bo2b2o$2bob2o11b2obo$bo2b2o11b2o2bo$2bob4o7b4obo$3b5o7b5o$4b2o11b2o$4bo13bo!

note that in the way of population, the existing w25's by May13 are minimal for odd symmetry, and the w20e first found by velcrorex is the minimum over both symmetries; no asymmetrics are known

Edit 2024-09-05: more (negative) results from Darcy Li! 2c/7 asymmetrical and 3c/8 in all symmetries disproven to logical width 11, longest partials

Code: Select all

x = 11, y = 89, rule = B3678/S34678
5bo$5b2o$4b4o$b2ob2o$b5o$bob4o$4b3o$3bo2bo$5bo$4b4o$4bobob2o$6b4o$4b2obo$5b2o$4b4o$7b2o$6bob2o$7b4o$8bo$9bo$6bobo$8bo$4bobobo$3b3ob2o$3b4o$3b2ob3o$5b4o$3b3o3bo$5bo$b4o3bo$2b2ob2obo$2b4o$2b2o$b2ob2o$b2o2b2obo$2b2o2b2o$2b2obo2bo$3b2obo$2b4o$4b3o$2b3o2$5b3o$4b4o$4bobobo$5bob2o$5bob2o$7b3o$3b2o2b3o$b4o2b2o$b3ob4o$b6o$b2obo$2b3ob2o$bo3b2obo$obobobo$3ob3obo$3bo2bo$5bo2b2o$5bo3bo$3bo3b2obo$3b2o3bo$3bobo2b3o$3b2ob2o$3b2ob2o$4bo2bo$bo3b2o$bob3ob2o$ob3ob2o$b3ob2o2bo$b2obo3bo$3b2o2b3o$b4o2bobo$bob2o2bo$3bobob3o$6bob2o$2bo2b3o$4b2o3bo$6bob2o$b2ob2obobo$b4o2b2o$bob3obo$2b2obo2b2o$2b4o2b3o$bobobo3bo$bobo5b2o$2b3ob2obo$2b3obo$o3bo3bo!

Code: Select all

x = 62, y = 142, rule = B3678/S34678
5bo13b2o7b2o14bo12bo$3b4o11bo2b7o2bo13b2o2b6o2b2o$3b4o11b5obob5o14b2o2b4o2b2o$3b2ob2o9bo2b9o2bo15bo2b2o2bo$3bo2b2o8b2o2b9o2b2o10bo3b2ob2ob2o3bo$3b2o3bo7bo2b11o2bo15b6o$3b5o9b4ob5ob4o$4b6o7b3o2b5o2b3o16bob2obo$bobo2bo8b2o2bo2b5o2bo2b2o15b4o$2b4o2bo8bob11obo15b8o$2bob3ob3o5b17o14bobo2bobo$b6o2bo6b2obo2b5o2bob2o14bobo2bobo$2bob3ob2o9bobob3obobo16b3ob2ob3o$b2o4b2o9bobo2bobo2bobo16bob4obo$2b2o2bo2b2o8b2o3bo3b2o19bo2bo$2b3o3b2o8b2o9b2o14b3o6b3o$2b2obo2b2o8b2o2bo3bo2b2o15b2obo2bob2o$3bobo2bo9bobo2bobo2bobo15bo8bo$4b5o12b2obob2o20bob2obo$2bob3ob2o8b2ob7ob2o16bobo2bobo$b3obobobo8b3obobobob3o16b3o2b3o$bob2o3bobo9bobobobobo17b3o4b3o$2o4bob2o10b2obobob2o16bo10bo$4bo2bobo12b2ob2o17b2o2bo4bo2b2o$19b2obo3bob2o14b3obob2obob3o$20b2obobob2o15b4ob4ob4o$17b2o5bo5b2o13b2o2b4o2b2o$17b2obob2ob2obob2o14b3o4b3o$18bobo2bobo2bobo13bob2ob4ob2obo$18b5o3b5o12bob3ob4ob3obo$15bo3bo9bo3bo10b3o2b4o2b3o$17b2o2bo5bo2b2o11b2obob2o2b2obob2o$15bo3b2obo3bob2o3bo7b2ob2ob2o4b2ob2ob2o$15bob2o2bo5bo2b2obo8b2o3b2o4b2o3b2o$15b3o2b4ob4o2b3o10bob2ob4ob2obo$16b2ob5ob5ob2o12b2o3b2o3b2o$16b3obob2ob2obob3o8bobobo2b6o2bobobo$16b2obob3ob3obob2o9bo2b12o2bo$16b6o5b6o8b3ob12ob3o$16bob2o2bobobo2b2obo9bobob10obobo$15b3o6bo6b3o9bob12obo$16b7obob7o10b2o3b6o3b2o$16bo2bo3bobo3bo2bo9bo2bobob4obobo2bo$18bo3b2ob2o3bo14bo2b6o2bo$17bob3obobob3obo11b3obob4obob3o$16bo2b2ob5ob2o2bo11bobobo4bobobo$15b2o3bo2b3o2bo3b2o9b2obo8bob2o$15bo4bo2b3o2bo4bo8b4o10b4o$16bob2o2b2ob2o2b2obo9b2ob2o8b2ob2o$17bo13bo12b3o8b3o$16bo3bobo3bobo3bo12bo10bo$17b4o7b4o11b2obo8bob2o$15b7o5b7o7b8o4b8o$15b4ob2o5b2ob4o8b3ob3o4b3ob3o$16bo2bobob3obobo2bo8bob2o12b2obo$15b2o3b4ob4o3b2o10bo12bo$16bobo4b3o4bobo10bo14bo$19bobo2bo2bobo11bo18bo$22bobobo15b3o12b3o$18b2obo5bob2o11b5o8b5o$18b2o3bobo3b2o10bob2o12b2obo$18bo2b3ob3o2bo9b8o6b8o$16b6ob3ob6o8b7o2b2o2b7o$16b3o2b2obob2o2b3o7bo2b4o3b2o3b4o2bo$17b4ob5ob4o10b2obob3o2b3obob2o$17b3obob3obob3o11b2o2bob4obo2b2o$16b2obobobobobobob2o9b2o2b3ob2ob3o2b2o$16bo3bo2bobo2bo3bo10b6o4b6o$16bobo4bobo4bobo10bobo10bobo$14b5o4bobo4b5o11bo8bo$42b2ob5o2b5ob2o$41bobo4b2o2b2o4bobo$41b3o4b2o2b2o4b3o$42b3o2b2o4b2o2b3o$41bob2o2bo2b2o2bo2b2obo2$41bob3o10b3obo$43b2o12b2o$41b2o3bo8bo3b2o$43b2o2b3o2b3o2b2o$44b3ob2o2b2ob3o$41b4o3b2o2b2o3b4o$42bob3o8b3obo$41b2o2bobobo2bobobo2b2o$42b2o5bo2bo5b2o$48bo4bo$47b3o2b3o$48bob2obo$49bo2bo$46b2ob4ob2o$45b3ob4ob3o$45b3o2b2o2b3o$45bobo2b2o2bobo$44bob3o4b3obo$44bo2b8o2bo$47b8o$42b3obo8bob3o$41bob2o3b2o2b2o3b2obo$41b2o2b2o8b2o2b2o$42b2obo2bo4bo2bob2o$41bob4obo4bob4obo$43b7o2b7o$42bob3obob2obob3obo$42b4o2b6o2b4o$43b2o2bob4obo2b2o$43b2obo3b2o3bob2o$44bo5b2o5bo$46b10o$42bo2b5o2b5o2bo$42bob4ob4ob4obo$43b16o$43bobo2b6o2bobo$45bo2b6o2bo$43bo2bob6obo2bo$42b2o4b6o4b2o$43b2o3b6o3b2o$41b20o$43b16o$41b2o2bob8obo2b2o$43b2o3bo4bo3b2o$45b4o4b4o$46b2ob4ob2o$42bo2bobo2b2o2bobo2bo$42bob4o2b2o2b4obo$42bobob3o4b3obobo$42bob5o4b5obo$41b2o4bobo2bobo4b2o$41b7o2b2o2b7o$43bo2b2ob4ob2o2bo$41b2o4b2o4b2o4b2o$42b4ob2ob2ob2ob4o$41bob2obob2o2b2obob2obo$42b2obo2b6o2bob2o$42b3obob2o2b2obob3o$43b2obob6obob2o$41b3obo4b2o4bob3o$43bobo2b2o2b2o2bobo$41bo2b2o10b2o2bo$41bobob3o2b2o2b3obobo$41bobo3bob4obo3bobo$40b6o2bo4bo2b6o$40b2o3b2o2bo2bo2b2o3b2o!

Ivy · Post by **Ivy** » December 7th, 2024, 2:00 am

Code: Select all

x = 23, y = 132, rule = B3678/S34678
5b3o7b3o$5b3o7b3o$5bobo7bobo$5b2o9b2o$5bo11bo$5b2obo5bob2o$2b2o3bo7bo3b2o$4b3ob2o3b2ob3o$4b5o5b5o$4bo2b3o3b3o2bo$4bo2b3o3b3o2bo$3b3obo7bob3o$3b3ob2o5b2ob3o$3b2o2b2o5b2o2b2o$3b2o4bo3bo4b2o$3bo3b2o5b2o3bo$5obo9bob5o$5b4o5b4o$3bo3bo7bo3bo$2bo3b2obo3bob2o3bo$4bo2bob2ob2obo2bo$8bo2bo2bo$5b2obob3obob2o$5bo2b7o2bo$5b2o2b5o2b2o$7b9o$6b11o$5b2ob7ob2o$2b2obo2b7o2bob2o$2b3o3b7o3b3o$b4ob2ob5ob2ob4o$2b3o2bo2b3o2bo2b3o$b4o5b3o5b4o$3b3obob5obob3o$5b3obobobob3o$4b3o3bobo3b3o$6bo9bo$8b3ob3o$b6ob7ob6o$2bo4b2ob3ob2o4bo$4bo4b2ob2o4bo$3bo2bobo5bobo2bo$4b2obo2bobo2bob2o$3b2obobo2bo2bobob2o$6b2obobobob2o$5bobob5obobo$4b15o$5b13o$3b3obo7bob3o$4b3o9b3o$2b3o2b3o3b3o2b3o$8b3ob3o$6bob2o3b2obo$9bo3bo$9bo3bo$4b3obo5bob3o$5b3obo3bob3o$6b2o7b2o$8b7o$7b2obobob2o$9bobobo$7b2o2bo2b2o$9b5o$7bob5obo$8bo5bo$11bo$6b4o3b4o$5b2o2bo3bo2b2o$5bob2ob3ob2obo$3b2o2b2obobob2o2b2o$6b2obobobob2o$5bo4bobo4bo$5b4ob3ob4o$4bo2b3o3b3o2bo$7b2ob3ob2o$7b2o5b2o$4b4o3bo3b4o$4b2o2b3ob3o2b2o$3b3ob9ob3o$3b2o4bo3bo4b2o$3b2o13b2o2$3bo15bo$3bo15bo$2bobo13bobo2$4b2o11b2o$4b2o11b2o$4bobo9bobo$5b4o5b4o$5b2o9b2o$5b4o5b4o$4b4o7b4o$5b3obo3bob3o$5b5o3b5o$6b4o3b4o$5b3o7b3o$3b4obo5bob4o$3b5obo3bob5o$4b4obo3bob4o$3b5ob2ob2ob5o$3b4ob2obob2ob4o$4b5ob3ob5o$3b6o2bo2b6o$3b8ob8o$4b5o5b5o$3b5o2b3o2b5o$3b6o5b6o$4b15o$2bob3obo5bob3obo$3b3obo7bob3o$2bo17bo$4bob2o7b2obo$3b2o2b2o5b2o2b2o$5bo3bo3bo3bo$5b3o2bobo2b3o$4b6o3b6o$5b13o$4b7ob7o$4bob4obob4obo$4b3obo2bo2bob3o$3b3o2b7o2b3o$4b2ob2o5b2ob2o$bo2bobo4bo4bobo2bo$b2o2bo2bo5bo2bo2b2o$b2o2bo11bo2b2o$2bob2o11b2obo$bo2b2o11b2o2bo$2bob4o7b4obo$3b5o7b5o$4b2o11b2o$4bo13bo!

This is really cool! i think the little section of sqare waves on the edges near the back are super neat! kinda looks like a track of sorts, like it's drilling through dirt and those are pushing it along. is there a possible design with an expandable track section? i'd love that

Edit 1: Just discovered a new breeder, here's its predecessor

Code: Select all

LaundryPizza03 · Post by **LaundryPizza03** » December 14th, 2024, 4:16 am

Ivy wrote: December 7th, 2024, 2:00 am Edit 1: Just discovered a new breeder, here's its predecessor
Code: Select all

This si empty.

amling · Post by **amling** » January 5th, 2025, 4:15 am

confocaloid wrote: January 4th, 2025, 3:27 pm In Day & Night, is there an universal set of skimmers/trimmers traveling on the stable oblique boundary, to allow arbitrary moves of the boundary?

I did a bit of digging here. The existence of one skimmer makes it harder to find distinct others with LLSSS, but some trickery of forcing other engagements of the edge easily enough produces a few things...

A (2, 1)c/3 expansion by the minimum possible increment:

Code: Select all

x = 63, y = 95, rule = B3678/S34678
16o$16o$17o$17o$18o$18o$19o$19o$20o$20o$21o$21o$22o$22o$23o$23o$24o$
24o$25o$25o$26o$26o$27o$27o$28o$27o$29o$31o$30o$30ob5o$31o2b3o$31obo$
30o2bo$32o$33o$32ob2o$33ob3o$33o2b3o$34o2bob2o$36obob2o$36obo$35obobob
o$37o2b3o$37o2bo2b2o$37ob2obobo$38o2bob2o$38o2bobo$38obo$37obobo$40ob
3o$39ob4o$40o2b4o$39o4b2o$41o$42o2bo$43obo$44obobo$47o$46obo$47obo$47o
b2o$48o$49o$50o$50o$50obo$50o$50o$49o$51o$53o$52o$52o$53o$53o$54o$54o$
55o$55o$56o$56o$57o$57o$58o$58o$59o$59o$60o$60o$61o$61o$62o$62o$63o$
63o!

A (2, 1)c/3 contraction by two minimum increments:

Code: Select all

x = 59, y = 100, rule = B3678/S34678
11o$11o$12o$12o$13o$13o$14o$14o$15o$15o$16o$16o$17o$17o$18o$18o$19o$
19o$20o$20o$21o$21o$22o$22o$23o$22o$24o$26o$25o$25ob5o$26o2b3o$26obo$
25o2bo$27o$28o$27ob2o$28ob3o$28o2b3o$29o2bob2o$31obob2o$31obo$30obobob
o$32o2b3o$32o2bo2b2o$32ob2obobo$33o2bob2o$33o2bobo$33obo$32obobo$35ob
3o$34ob4o$35o2b4o$34o4b2o$36o$37o2bo$38obo$39obobo$42o$41obo$42obo$42o
b2o$43o$44o$43ob3o$43o3b2o$43ob3o$45o2bo$46obo$45ob2o$46ob3o$46ob2o$
46obo$47o$47o$47o2bo$47o$48o$48o$49o$49o$50o$50o$51o$51o$52o$52o$53o$
53o$54o$54o$55o$55o$56o$56o$57o$57o$58o$58o$59o$59o!

A very simple slanted bounding half plane argument shows no knightwise finite signal (and no stretchers) any faster than (2, 1)c/5 and of course (2, 1)c/5 signals are known. I found right edge expansions by 2 increments and contractions by 5 increments. Then hacking on a known knightship easily enough made a front corner wider enough to allow the expansion in and a back corner wide enough to allow the contraction to reach it is trivial. Ultimately you can make a "nightship":

Code: Select all

x = 145, y = 308, rule = B3678/S34678
4b3o$2b3ob3o$b4o2b2o$3o3b2obo$2o2b2ob2o$o2bo3b2o$7b2o2bo$2o5bo2b2o$4b
4ob2o$b2ob7o$b2ob2o2b3o$2b2o2bo3b2o$2b2o2bob2o$3b2o3bob4o$3bo2b2o4b2ob
o$6b3obo3bo$5b4obo$7b9obo$7bob2ob4obo$8bo2bo3bob2o$8b3ob7o$8b2o4bo2b2o
$9bo5b3o$10b5ob2o$11b2obo$11bob4o$12bob2o2bo$10bo2b6o$12b3o2bobo$10b8o
b3o$9b6o3bob2o$9b7obo2b3o$10b7ob2o$10b6ob6o$11b5obo4b2o$11b5ob4o$12b4o
2b2obo$12b4o2bob2obo$14b4o3bobo$15bobo5b2o$20b2o$20bo2bo$20b2o$19bo$
18b3o$17b2obobo$17b3ob5o$20bo2b2obo$16b4o2b2o2bo$17b2o3b5o$17bo2b2ob2o
$18b2o4b3o$20b3o2b2o$21b2o2bobo$20bob5o$22bobo$20b2obob2o$22b6o$20b3o$
20b2o2bo$21b2ob3o$20b2ob3o$20bob6o$20b10o$19bob9o$20b10obo$21b11o$21b
10obo$22b9o$22b8o$23b7obo$23b7o$24b5obo$24b6o$25b6o$25b6o$26b6o$26b6o$
27b6o$27b6o$28b6o$28b6o$29b6o$29b6o$30b6o$30b6o$31b6o$31b6o$32b6o$32b
6o$33b6o$33b6o$34b6o$34b6o$35b5o$35b5obo$36b8o$36b4o2bo$37b5ob2o$37b4o
2bo$38b5obo$38b4ob2o$39b4ob3o$39b8o$40b6obo$40b7o$41b7o$41b7o$42b7o$
42b7o$43b7o$43b7o$44b7o$44b7o$45b6o$45b6obo$46b9o$46b5o2bo$47b6ob2o$
47b5o2bo$48b6obo$48b5ob2o$49b5ob3o$49b9o$50b7obo$50b8o$51b8o$51b8o$52b
8o$52b8o$53b8o$53b8o$54b8o$54b8o$55b7o$55b7obo$56b10o$56b6o2bo$57b7ob
2o$57b6o2bo$58b7obo$58b6ob2o$59b6ob3o$59b10o$60b8obo$60b9o$61b9o$61b9o
$62b9o$62b9o$63b9o$63b9o$64b9o$64b9o$65b8o$65b8obo$66b11o$66b7o2bo$67b
8ob2o$67b7o2bo$68b8obo$68b7ob2o$69b7ob3o$69b11o$70b9obo$70b10o$71b10o$
71b10o$72b10o$72b10o$73b10o$73b10o$74b10o$74b10o$75b9o$75b9obo$76b12o$
76b8o2bo$77b9ob2o$77b8o2bo$78b9obo$78b8ob2o$79b8ob3o$79b12o$80b10obo$
80b11o$81b11o$81b11o$82b11o$82b11o$83b11o$83b11o$84b11o$84b11o$85b10o$
85b10obo$86b13o$86b9o2bo$87b10ob2o$87b9o2bo$88b10obo$88b9ob2o$89b9ob3o
$89b13o$90b11obo$90b12o$91b12o$91b12o$92b12o$92b12o$93b12o$93b12o$94b
12o$94b12o$95b12o$95b11obo$96b10o$96b13o$97b10ob2o$97b12o2bo$98b9obobo
$98b11obo$99b9obobo$99b11obo$100b14o$100b13obo$101b12obo$101b12o$102b
15o$102b12ob2o$103b10o3bo$103b10o$104b8o$104b10o$105b11o$105b10o$106b
9o$106b10o$107b9o$107b10o$108b9o$108b10o$109b9o$109b10o$110b8obo$110b
8o$111b10o$111b8ob2o$112b9o2bo$112b7obobo$113b8obo$113b7obobo$114b8obo
$114b12o$115b10obo$115b10obo$116b9o$116b13o$117b9ob2o$117b8o3bo$118b7o
$118b6o$119b7o$119b9o$120b7o$120b7o$121b7o$121b7o$122b7o$122b7o$123b7o
$123b7o$124b7o$124b6obo$125b5o$125b8o$126b5ob2o$126b7o2bo$127b4obobo$
127b6obo$128b4obobo$128b6obo$129b9o$129b8obo$130b7obo$130b7o$131b10o$
131b7ob2o$132b5o3bo$132b5o$133b3o$133b5o$134b6o$134b5o$135b4o$135b5o$
136b4o$136b5o$137b4o$137b5o$138b4o$138b5o$139b4o$139b5o$140b4o$140b5o$
143b2o$142bobo!

You can of course invert the contraction and use it as a left side expansion once it's wide enough, invert the right side expansion to use as a left side contraction, etc. Also of course just the front part makes a "nightstretcher", although not one with a level front.

confocaloid · Post by **confocaloid** » January 5th, 2025, 5:49 am

amling wrote: January 5th, 2025, 4:15 am [...] A (2, 1)c/3 expansion by the minimum possible increment: [...]
[...] A (2, 1)c/3 contraction by two minimum increments: [...]
[...] Ultimately you can make a "nightship": [...]

For (2,1)c/3, the following sort of pattern in a toroidal universe might be the most interesting "application" out of those I can imagine.
Well, at least one can show this and say "these reactions exist and can be discovered with current tools":

Code: Select all

x = 256, y = 128, rule = B3678/S34678:T256,128
7o214b35o$9o214b33o$11o214b31o$14o213b29o$15o214b27o$17o214b25o$19o
214b23o$21o214b21o$23o214b19o$25o214b17o$27o214b15o$29o214b13o$31o214b
11o$33o214b9o$36o213b7o$37o3b3obo206b5o$41o2b2o208b3o$44ob2o208bo$b43o
bo$3b43ob2o2bo$5b44ob2o7bo$7b41ob6o2b3o$9b39obobobobo2b4o$11b38obo4b2o
2bob2o$14b40ob2obob4obo$15b39o2b2ob3o2b2o$17b37o5bobo3b2o$19b37o7b2ob
2o$21b39ob2o4bo$23b40obo8b2o$25b40o2b2o3bo2bo$27b38o3b2o4b2o$29b38ob2o
4b2o$31b39o5bo$33b40o$36b40o$37b3o3bob34o$41b2o2b35o$44bo2b35o$44bob
38o$46bo2b2ob34o$49bo2b7ob28o$48bo6b2o3b30o$48bobobobob2o4b30o$49bob4o
2b2obo2b32o$54bo2bobo4bob30o3b3obo$54b2o2bo3b2o2b34o2b2o$54b5obob3o2b
36ob2o$56b7o2bo2b35obo$60bo2b4ob37ob2o2bo$63bob8o2b33ob2o7bo$65b2o2b3o
b2ob31ob6o2b3o$65b3o2b4o2b31obobobobo2b4o$67bo2b4o2b32obo4b2o2bob2o$
70b5ob37ob2obob4obo$73b40o2b2ob3o2b2o$76b37o5bobo3b2o$79b36o7b2ob2o$
80b39ob2o4bo$82b40obo8b2o$84b40o2b2o3bo2bo$86b38o3b2o4b2o$88b38ob2o4b
2o$90b39o5bo$92b40o$95b40o$96b3o3bob34o$100b2o2b35o$103bo2b35o$103bob
38o$105bo2b2ob34o$108bo2b7ob28o$107bo6b2o3b30o$107bobobobob2o4b30o$
108bob4o2b2obo2b31o$113bo2bobo4bob30o9bo$113b2o2bo3b2o2b32o6bo3bo$113b
5obob3o2b33ob5ob2o2b2o$115b7o2bo2b33o3b3o3bobo$119bo2b4ob37o2b7o$122bo
b8o2b36o2b2obo$124b2o2b3ob2ob35o2bob2o$124b3o2b4o2b35ob4ob2o$126bo2b4o
2b40obo$129b5ob42ob2o2bo$132b48ob2o7bo$135b44ob6o2b3o$138b41obobobobo
2b4o$139b41obo4b2o2bob2o$141b44ob2obob4obo$143b42o2b2ob3o2b2o$145b40o
5bobo3b2o$147b40o7b2ob2o$149b42ob2o4bo$151b43obo8b2o$153b43o2b2o3bo2bo
$155b9ob31o3b2o4b2o$157b6ob3ob30ob2o4b2o$159bo5bo2b2o2b29o5bo$160b3o3b
3obob32o$164b2o7b34o$170b2o2bob34o$170b2obo2b35o$170bo4bo2b35o$175bob
38o$177bo2b2ob34o$180bo2b7ob28o$179bo6b2o3b30o$179bobobobob2o4b30o$
180bob4o2b2obo2b31o$185bo2bobo4bob30o$185b2o2bo3b2o2b32o$185b5obob3o2b
33o$187b7o2bo2b34o$191bo2b4ob36o$194bob8o2b31o$196b2o2b3ob2ob32o$196b
3o2b4o2b34o$198bo2b4o2b36o$201b5ob38o$204b43o$207b42o$210b41o$211b42o$
213b42o$o214b41o$3o214b39o$5o214b37o!
#C [[ GRID THEME MCell ]]

The (2, 1)c/5 "nightship" can live in the usual infinite universe. Here are a knightship moving in empty space and an inverted knightship contained within a larger "nightship":

Code: Select all

x = 1098, y = 540, rule = B3678/S34678

edit (2025-01-05): made the "nightship" smaller and put two inverted knightships inside, instead of only one:

Code: Select all

x = 840, y = 411, rule = B3678/S34678
3o$b4o$ob5o$2b7o$2b9o8b3o$4b9o2bo4b2o$6b10o5bob2o$8b9o3b2o3bo$10b7ob8o
$12b16o2bo$14b12o2b2o$16b12o3bo$18b9ob5o$20b9obobobo7b3o$22b11o2bo2bo
4b2o$24b15o5bob2o$26b14o3b2o3bo$28b12ob8o$30b21o2bo$32b17o2b2o$34b17o
3bo$36b14ob5o$38b14obobobo7b3o$40b16o2bo2bo4b2o$42b20o5bob2o$44b19o3b
2o3bo$46b17ob8o$48b26o2bo$50b22o2b2o$52b22o3bo$54b19ob5o$56b19obobobo
7b3o$58b21o2bo2bo4b2o$60b25o5bob2o$62b24o3b2o3bo$64b22ob8o$66b31o2bo$
68b27o2b2o$70b27o3bo$72b24ob5o$74b24obobobo7b3o$76b26o2bo2bo4b2o$78b
30o5bob2o$80b29o3b2o3bo$82b27ob8o$84b36o2bo$86b32o2b2o$88b32o3bo$90b
29ob5o$92b29obobobo7b3o$94b31o2bo2bo4b2o$96b35o5bob2o$98b34o3b2o3bo$
100b32ob8o$102b41o2bo$104b37o2b2o$106b37o3bo$108b34ob5o$110b34obobobo
7b3o$112b36o2bo2bo4b2o$114b40o5bob2o$116b39o3b2o3bo$118b37ob8o$120b46o
2bo$122b42o2b2o$124b42o3bo$126b39ob5o$128b39obobobo7b3o$130b41o2bo2bo
4b2o$132b45o5bob2o$134b44o3b2o3bo$136b42ob8o$138b51o2bo$140b47o2b2o$
142b47o3bo$144b44ob5o$146b44obobobo7b3o$148b46o2bo2bo4b2o$150b50o5bob
2o$152b49o3b2o3bo$154b47ob8o$156b56o2bo$158b52o2b2o$160b52o3bo$162b49o
b5o$164b49obobobo7b3o$166b51o2bo2bo4b2o$168b55o5bob2o$170b32ob21o3b2o
3bo$172b30ob21ob8o$174b26o4b31o2bo$176b25o3b29o2b2o$178b22ob2o2b30o3bo
$180b20ob2ob30ob5o$182b22o2b6o2bob20obobobo7b3o$184b18o2b2o2b3obob4ob
21o2bo2bo4b2o$186b18obob2o2bob2o2bo2b26o5bob2o$188b15o4b3ob4o7b25o3b2o
3bo$190b15ob2o4b2o7bob24ob8o$192b20obob3o4b36o2bo$194b21ob2o8b30o2b2o$
196b19o4b3o4b32o3bo$198b23o4b32ob5o$200b23ob3ob31obobobo7b3o$202b19ob
2obo3b34o2bo2bo4b2o$204b19o2b2o2b40o5bob2o$206b22ob2obobob34o3b2o3bo$
208b18ob2o4b2ob34ob8o$210b18ob2o4b2ob43o2bo$212b19o5b2o2b39o2b2o$214b
17obobobo4b5ob34o3bo$216b16o2b2o8b6ob29ob5o$218b19o3b2o3b2o2bo3b29obob
obo7b3o$220b21o2b2ob2o3b35o2bo2bo4b2o$222b20obo2bo2b2o4b4ob3ob28o5bob
2o$224b18o2bob5o4bob2o2bobo2bo3b23o3b2o3bo$226b16ob3obo9b2o2bo4bob2ob
22ob8o$228b16o2bobo9bobo2b2o3bo2b6ob26o2bo$230b20o6b3o2bob3o5b4obo3b2o
b19o2b2o$232b18o5bobo2bo4b2o2bo2b10o2bob18o3bo$234b15o5bo4bob2o2bob3ob
3obobo3b2obo3b15ob5o$236b15obo3bo2bobobobob2obo2bo3b2obobobo3b17obobob
o$238b14ob12ob2obobo2b6o2bo2b2o2b20o2bo$240b25obo2bo3b6o3bo2bob2o2b4o
3b16obo$242b24o3bo2b5o2b2o3bobo3b3o7b15ob2o$244b24ob9ob5ob2obobobo2bob
21o$246b31o9bobo3b2obo4b2ob17obo$248b30o16bo2bo2bob15obob2obo$250b29o
11bobob2obo2b2o2b14obo2b2o$252b27o10bobo2b2obo2b2o2b16obob2o$254b27o7b
3o3b3obob3obob3o2b11obo$256b27o5bob3ob2obo4bobo5b18obo$258b27o2b7o3bo
2b4obo3b4ob15ob2o$260b35o3bo3bo2bo2b2o3bo2b16o$262b36o5b4o9b18obo$264b
36o3bo2bo2b4obo2b14obob2obo$266b34ob5o3b3ob3ob15obo2b2o$268b35ob2o3b3o
bo3b17obob2o$270b32o4b5ob2o2b20obo$272b32o4b5o3b26obo$274b32o2bob2o3b
28ob2o$276b33obo3b32o$278b70obo$280b65obob2obo$282b64obo2b2o$284b64obo
b2o$286b64obo$288b68obo$290b23ob43ob2o$292b21ob46o$294b17o4b47obo$296b
16o3b44obob2obo$298b13ob2o2b44obo2b2o$300b11ob2ob47obob2o$302b13o2b6o
2bob37obo$304b9o2b2o2b3obob4ob40obo$306b9obob2o2bob2o2bo2b40ob2o$308b
6o4b3ob4o7b41o$310b6ob2o4b2o7bob42obo$312b11obob3o4b40obob2obo$314b12o
b2o8b37obo2b2o$316b10o4b3o4b39obob2o$318b14o4b42obo$320b14ob3ob45obo$
322b10ob2obo3b45ob2o$324b10o2b2o2b48o$326b13ob2obobob43obo$328b9ob2o4b
2ob40obob2obo$330b9ob2o4b2ob39obo2b2o$332b10o5b2o2b39obob2o$334b8obobo
bo4b5ob34obo$336b7o2b2o8b6ob36obo$338b10o3b2o3b2o2bo3b35ob2o$340b12o2b
2ob2o3b40o$342b11obo2bo2b2o4b4ob3ob29obo$344b9o2bob5o4bob2o2bobo2bo3b
20obob2obo$346b7ob3obo9b2o2bo4bob2ob20obo2b2o$348b7o2bobo9bobo2b2o3bo
2b6ob15obob2o$350b11o6b3o2bob3o5b4obo3b2ob12obo$352b9o5bobo2bo4b2o2bo
2b10o2bob15obo$354b6o5bo4bob2o2bob3ob3obobo3b2obo3b14ob2o$356b6obo3bo
2bobobobob2obo2bo3b2obobobo3b17o$358b5ob12ob2obobo2b6o2bo2b2o2b18obo$
360b16obo2bo3b6o3bo2bob2o2b4o3b6obob2obo$362b15o3bo2b5o2b2o3bobo3b3o7b
5obo2b2o$364b15ob9ob5ob2obobobo2bob10obob2o$366b22o9bobo3b2obo4b2ob6ob
o$368b21o16bo2bo2bob13obo$370b20o11bobob2obo2b2o2b12ob2o$372b18o10bobo
2b2obo2b2o2b15o$374b18o7b3o3b3obob3obob3o2b10obo$376b18o5bob3ob2obo4bo
bo5b8obob2obo$378b18o2b7o3bo2b4obo3b4ob5obo2b2o$380b26o3bo3bo2bo2b2o3b
o2b5obob2o$382b27o5b4o9b7obo$384b27o3bo2bo2b4obo2b12obo$386b25ob5o3b3o
b3ob13ob2o$388b26ob2o3b3obo3b16o$390b23o4b5ob2o2b19obo$392b23o4b5o3b
16obob2obo$394b23o2bob2o3b18obo2b2o$396b24obo3b21obob2o$398b50obo$400b
54obo$402b53ob2o$404b54o$406b54obo$408b49obob2obo$410b48obo2b2o$412b
48obob2o$414b48obo$416b52obo$418b51ob2o$420b52o$422b52obo$424b47obob2o
bo$426b46obo2b2o$428b46obob2o$430b46obo$432b50obo$434b49ob2o$436b50o$
438b50obo$440b45obob2obo$442b44obo2b2o$444b44obob2o$446b44obo$448b48ob
o$450b47ob2o$452b48o$454b48obo$456b43obob2obo$458b42obo2b2o$460b42obob
2o$462b42obo$464b46obo$466b45ob2o$468b46o$470b46obo$472b41obob2obo$
474b40obo2b2o$476b40obob2o$478b40obo$480b44obo$482b43ob2o$484b44o$486b
44obo$488b39obob2obo$490b38obo2b2o$492b38obob2o$494b38obo$496b42obo$
498b41ob2o$500b42o$502b42obo$504b37obob2obo$506b36obo2b2o$508b36obob2o
$510b36obo$512b40obo$514b39ob2o$516b40o$518b40obo$213bo306b35obob2obo$
213bo308b34obo2b2o$211b4o309b34obob2o$212b3o311b34obo$211bo2b2o312b38o
bo$211bo2bo315b37ob2o$215b2o6b2obo305b38o$213b2o2b2o3bobo4bo304b38obo$
215bobo2b2obo2b2ob2o305b33obob2obo$214b4o3bo4b7o305b32obo2b2o$216bo2b
4o2b7obo306b32obob2o$223bobo3b4o309b32obo$226bo2b8o307b36obo$226b4o3b
4o309b35ob2o$232b4o312b36o$234bo3bo311b36obo$232bo2bob3o312b31obob2obo
$234b2o2b2o314b30obo2b2o$239bo2bobobo309b30obob2o$237bo2b4o2bo311b30ob
o$239bo2b4o2bo311b34obo$242b5o2b2o311b33ob2o$242bobobob4o5bo306b34o$
243b2o2b8o6bo304b34obo$248b3o2b3o2b2ob3o304b29obob2obo$252b2o2bo2b3o
308b28obo2b2o$253bob2ob2o2b4o4bo3bo297b28obob2o$253b2obo5b4obo2b2obob
2ob3o293b28obo$253bo3bob9o2b2ob4obo2bo294b32obo$255b2obob9obob2o2b3ob
2o6bo289b31ob2o$261b6o3b2obo3b5o4bob3o2bo286b32o$261b5obob2ob4o2b2ob2o
10b2obo285b32obo$260b5ob4obo2b2obo3bo3bobob3o2bob3o285b27obob2obo$262b
ob3ob2obobobobo2bob2ob3o2bobobob3o287b26obo2b2o$263bo12bo2bobob2o6b2ob
2o2b2o288b26obob2o$276bob2ob3o6b3ob2obo2b2o4b3o281b26obo$277b3ob2o5b2o
2b3obob3o3b7o281b30obo$279bo9bo5bo2bobobob2obo286b29ob2o$288b9obob3o2b
ob4o2bo282b30o$289b16ob2ob2obo285b30obo$290b11obobo2bob2o2b2o285b25obo
b2obo$290b10obob2o2bob2o2b2o287b24obo2b2o$292b7o3b3o3bobo3bobo3b2o282b
24obob2o$294b5obo3bo2bob4obob5o285b24obo$296b2o7b3ob2o4bob3o4bo283b28o
bo$306b3ob3ob2ob2o2b3ob2o283b27ob2o$309b5o4b9o285b28o$311b3ob2ob2o4bob
2o286b28obo$311bo5b3o3bo3bo288b23obob2obo$314bo2b3o3bob3o290b22obo2b2o
$313b4o5bo2b2o293b22obob2o$315b4o5b3o295b22obo$317b2obo2b3o298b26obo$
320bob3o301b25ob2o$628b26o$630b26obo$632b21obob2obo$634b20obo2b2o$636b
20obob2o$638b20obo$640b24obo$642b23ob2o$644b24o$646b24obo$648b19obob2o
bo$650b18obo2b2o$652b18obob2o$654b18obo$656b22obo$658b21ob2o$660b22o$
662b22obo$664b17obob2obo$666b16obo2b2o$668b16obob2o$670b16obo$672b20ob
o$674b19ob2o$676b20o$678b20obo$680b15obob2obo$682b14obo2b2o$684b14obob
2o$686b14obo$688b18obo$690b17ob2o$692b18o$694b18obo$696b13obob2obo$
698b12obo2b2o$700b12obob2o$702b12obo$704b16obo$706b15ob2o$708b16o$710b
16obo$712b11obob2obo$714b10obo2b2o$716b10obob2o$718b10obo$720b14obo$
722b13ob2o$724b14o$726b14obo$728b9obob2obo$730b8obo2b2o$732b8obob2o$
734b8obo$736b12o$738b12o$740b12o$742b12o$744b12o$746b12o$748b12o$750b
12o10bo$752b12o5bo3b2o$754b12obo3b3o$756b11ob9o$758b19o$760b18o4bo3bo$
762b16obo2b2obob2ob3o$764b16o2b2ob4obo2bo$766b15obob2o2b3ob2o6bo$768b
11o3b2obo3b5o4bob3o2bo$770b8obob2ob4o2b2ob2o10b2obo$772b5ob4obo2b2obo
3bo3bobob3o2bob3o$774bob3ob2obobobobo2bob2ob3o2bobobob3o$775bo12bo2bob
ob2o6b2ob2o2b2o$788bob2ob3o6b3ob2obo2b2o4b3o$789b3ob2o5b2o2b3obob3o3b
7o$791bo9bo5bo2bobobob2obo$800b9obob3o2bob4o2bo$801b16ob2ob2obo$802b
11obobo2bob2o2b2o$802b10obob2o2bob2o2b2o$804b7o3b3o3bobo3bobo3b2o$806b
5obo3bo2bob4obob5o$808b2o7b3ob2o4bob3o4bo$818b3ob3ob2ob2o2b3ob2o$821b
5o4b9o$823b3ob2ob2o4bob2o$823bo5b3o3bo3bo$826bo2b3o3bob3o$825b4o5bo2b
2o$827b4o5b3o$829b2obo2b3o$832bob3o!
#C [[ GRID THEME MCell ]]

edit 2 (2025-01-06): well, here is a wider "nightship" with inverted expansions/contractions (and several inverted knightships inside):

Code: Select all

x = 920, y = 451, rule = B3678/S34678
3o$b4o$ob5o$2b7o$2b9o8b3o$4b9o2bo4b2o$6b10o5bob2o$8b9o3b2o3bo$10b7ob8o
$12b16o2bo$14b12o2b2o$16b12o3bo$18b9ob5o$20b9obobobo7b3o$22b11o2bo2bo
4b2o$24b15o5bob2o$26b14o3b2o3bo$28b12ob8o$30b21o2bo$32b17o2b2o$34b17o
3bo$36b14ob5o$38b14obobobo7b3o$40b16o2bo2bo4b2o$42b20o5bob2o$44b19o3b
2o3bo$46b17ob8o$48b26o2bo$50b22o2b2o$52b22o3bo$54b19ob5o$56bob17obobob
o7b3o$57bo2b19o2bo2bo4b2o$60b25o5bob2o$62bob22o3b2o3bo$59bobo2bob20ob
8o$60bob2o2b31o2bo$62bobo2b28o2b2o$64bob31o3bo$70bob24ob5o$71bo2b24obo
bobo7b3o$74b28o2bo2bo4b2o$76bob30o5bob2o$73bobo2bob29o3b2o3bo$74bob2o
2b29ob8o$76bobo2b39o2bo$78bob38o2b2o$84bob34o3bo$85bo2b31ob5o$88b33obo
bobo7b3o$90bob33o2bo2bo4b2o$87bobo2bob37o5bob2o$88bob2o2b38o3b2o3bo$
90bobo2b37ob8o$92bob49o2bo$98bob41o2b2o$99bo2b41o3bo$102b40ob5o$104bob
38obobobo7b3o$101bobo2bob40o2bo2bo4b2o$102bob2o2b46o5bob2o$104bobo2b
46o3b2o3bo$106bob47ob8o$112bob52o2bo$113bo2b48o2b2o$116b50o3bo$118bob
45ob5o$115bobo2bob45obobobo7b3o$116bob2o2b49o2bo2bo4b2o$118bobo2b54o5b
ob2o$120bob28ob27o3b2o3bo$126bob22ob27ob8o$127bo2b18o4b37o2bo$130b19o
3b35o2b2o$132bob14ob2o2b36o3bo$129bobo2bob12ob2ob36ob5o$130bob2o2b16o
2b6o2bob26obobobo7b3o$132bobo2b13o2b2o2b3obob4ob27o2bo2bo4b2o$134bob
16obob2o2bob2o2bo2b32o5bob2o$140bob9o4b3ob4o7b31o3b2o3bo$141bo2b9ob2o
4b2o7bob30ob8o$144b16obob3o4b42o2bo$146bob15ob2o8b36o2b2o$143bobo2bob
13o4b3o4b38o3bo$144bob2o2b19o4b38ob5o$146bobo2b20ob3ob37obobobo7b3o$
148bob19ob2obo3b40o2bo2bo4b2o$154bob15o2b2o2b46o5bob2o$155bo2b18ob2obo
bob40o3b2o3bo$158b16ob2o4b2ob40ob8o$160bob14ob2o4b2ob49o2bo$157bobo2bo
b15o5b2o2b45o2b2o$158bob2o2b15obobobo4b5ob40o3bo$160bobo2b15o2b2o8b6ob
35ob5o$162bob21o3b2o3b2o2bo3b35obobobo7b3o$168bob19o2b2ob2o3b41o2bo2bo
4b2o$169bo2b18obo2bo2b2o4b4ob3ob34o5bob2o$172b18o2bob5o4bob2o2bobo2bo
3b29o3b2o3bo$174bob14ob3obo9b2o2bo4bob2ob28ob8o$171bobo2bob14o2bobo9bo
bo2b2o3bo2b6ob32o2bo$172bob2o2b20o6b3o2bob3o5b4obo3b2ob25o2b2o$174bobo
2b19o5bobo2bo4b2o2bo2b10o2bob24o3bo$176bob19o5bo4bob2o2bob3ob3obobo3b
2obo3b21ob5o$182bob15obo3bo2bobobobob2obo2bo3b2obobobo3b23obobobo7b3o$
183bo2b14ob12ob2obobo2b6o2bo2b2o2b26o2bo2bo4b2o$186b27obo2bo3b6o3bo2bo
b2o2b4o3b23o5bob2o$188bob24o3bo2b5o2b2o3bobo3b3o7b22o3b2o3bo$185bobo2b
ob24ob9ob5ob2obobobo2bob25ob8o$186bob2o2b33o9bobo3b2obo4b2ob30o2bo$
188bobo2b33o16bo2bo2bob29o2b2o$190bob35o11bobob2obo2b2o2b29o3bo$196bob
29o10bobo2b2obo2b2o2b28ob5o$197bo2b29o7b3o3b3obob3obob3o2b23obobobo7b
3o$200b31o5bob3ob2obo4bobo5b28o2bo2bo4b2o$202bob29o2b7o3bo2b4obo3b4ob
30o5bob2o$199bobo2bob37o3bo3bo2bo2b2o3bo2b29o3b2o3bo$200bob2o2b40o5b4o
9b29ob8o$202bobo2b41o3bo2bo2b4obo2b39o2bo$204bob42ob5o3b3ob3ob37o2b2o$
210bob39ob2o3b3obo3b39o3bo$211bo2b36o4b5ob2o2b39ob5o$214b38o4b5o3b41ob
obobo$216bob36o2bob2o3b46o2bo$213bobo2bob37obo3b52o$214bob2o2b54ob41o$
216bobo2b53ob43o$218bob52o4b44o$224bob47o3b46o$225bo2b44ob2o2b47o$228b
44ob2ob50o$230bob44o2b6o2bob40o$227bobo2bob40o2b2o2b3obob4ob39o$228bob
2o2b42obob2o2bob2o2bo2b40o$230bobo2b40o4b3ob4o7b40o$232bob43ob2o4b2o7b
ob41o$238bob44obob3o4b44o$239bo2b45ob2o8b42o$242b45o4b3o4b44o$244bob
47o4b47o$241bobo2bob47ob3ob46o$242bob2o2b45ob2obo3b47o$244bobo2b46o2b
2o2b49o$246bob52ob2obobob44o$252bob44ob2o4b2ob46o$253bo2b44ob2o4b2ob
46o$256b47o5b2o2b46o$258bob43obobobo4b5ob41o$255bobo2bob42o2b2o8b6ob
39o$256bob2o2b47o3b2o3b2o2bo3b39o$258bobo2b50o2b2ob2o3b43o$260bob52obo
2bo2b2o4b4ob3ob32o$266bob46o2bob5o4bob2o2bobo2bo3b28o$267bo2b44ob3obo
9b2o2bo4bob2ob29o$270b46o2bobo9bobo2b2o3bo2b6ob24o$272bob48o6b3o2bob3o
5b4obo3b2ob21o$269bobo2bob46o5bobo2bo4b2o2bo2b10o2bob20o$270bob2o2b45o
5bo4bob2o2bob3ob3obobo3b2obo3b20o$272bobo2b46obo3bo2bobobobob2obo2bo3b
2obobobo3b22o$274bob48ob12ob2obobo2b6o2bo2b2o2b23o$280bob55obo2bo3b6o
3bo2bob2o2b4o3b16o$281bo2b54o3bo2b5o2b2o3bobo3b3o7b16o$284b56ob9ob5ob
2obobobo2bob21o$286bob61o9bobo3b2obo4b2ob17o$283bobo2bob44ob15o16bo2bo
2bob20obo$284bob2o2b44ob16o11bobob2obo2b2o2b19ob2o$286bobo2b41o4b15o
10bobo2b2obo2b2o2b22o$288bob43o3b17o7b3o3b3obob3obob3o2b17obo$294bob
36ob2o2b18o5bob3ob2obo4bobo5b15obob2obo$295bo2b34ob2ob21o2b7o3bo2b4obo
3b4ob12obo2b2o$298b38o2b6o2bob19o3bo3bo2bo2b2o3bo2b12obob2o$300bob32o
2b2o2b3obob4ob19o5b4o9b14obo$297bobo2bob32obob2o2bob2o2bo2b20o3bo2bo2b
4obo2b19obo$298bob2o2b31o4b3ob4o7b18ob5o3b3ob3ob20ob2o$300bobo2b32ob2o
4b2o7bob20ob2o3b3obo3b23o$302bob40obob3o4b20o4b5ob2o2b26obo$308bob37ob
2o8b18o4b5o3b23obob2obo$309bo2b35o4b3o4b20o2bob2o3b25obo2b2o$312b41o4b
24obo3b28obob2o$314bob39ob3ob56obo$311bobo2bob35ob2obo3b61obo$312bob2o
2b37o2b2o2b62ob2o$314bobo2b41ob2obobob58o$316bob40ob2o4b2ob60obo168bo$
322bob36ob2o4b2ob55obob2obo166bo$323bo2b37o5b2o2b54obo2b2o164b4o$326b
37obobobo4b5ob49obob2o164b3o$328bob34o2b2o8b6ob47obo164bo2b2o$325bobo
2bob37o3b2o3b2o2bo3b51obo158bo2bo$326bob2o2b41o2b2ob2o3b54ob2o160b2o6b
2obo$328bobo2b41obo2bo2b2o4b4ob3ob44o158b2o2b2o3bobo4bo$330bob42o2bob
5o4bob2o2bobo2bo3b40obo156bobo2b2obo2b2ob2o$336bob36ob3obo9b2o2bo4bob
2ob36obob2obo153b4o3bo4b7o$337bo2b36o2bobo9bobo2b2o3bo2b6ob30obo2b2o
155bo2b4o2b7obo$340b42o6b3o2bob3o5b4obo3b2ob27obob2o161bobo3b4o$342bob
38o5bobo2bo4b2o2bo2b10o2bob26obo165bo2b8o$339bobo2bob35o5bo4bob2o2bob
3ob3obobo3b2obo3b30obo159b4o3b4o$340bob2o2b37obo3bo2bobobobob2obo2bo3b
2obobobo3b31ob2o163b4o$342bobo2b37ob12ob2obobo2b6o2bo2b2o2b33o165bo3bo
$344bob51obo2bo3b6o3bo2bob2o2b4o3b26obo159bo2bob3o$350bob46o3bo2b5o2b
2o3bobo3b3o7b21obob2obo159b2o2b2o$351bo2b46ob9ob5ob2obobobo2bob25obo2b
2o164bo2bobobo$354b55o9bobo3b2obo4b2ob21obob2o161bo2b4o2bo$356bob52o
16bo2bo2bob24obo164bo2b4o2bo$353bobo2bob51o11bobob2obo2b2o2b28obo161b
5o2b2o$354bob2o2b51o10bobo2b2obo2b2o2b29ob2o159bobobob4o5bo$356bobo2b
52o7b3o3b3obob3obob3o2b25o160b2o2b8o6bo$358bob55o5bob3ob2obo4bobo5b28o
bo161b3o2b3o2b2ob3o$364bob51o2b7o3bo2b4obo3b4ob21obob2obo163b2o2bo2b3o
$365bo2b59o3bo3bo2bo2b2o3bo2b20obo2b2o164bob2ob2o2b4o4bo3bo$368b62o5b
4o9b22obob2o163b2obo5b4obo2b2obob2ob3o$370bob60o3bo2bo2b4obo2b23obo
164bo3bob9o2b2ob4obo2bo$367bobo2bob58ob5o3b3ob3ob29obo160b2obob9obob2o
2b3ob2o6bo$368bob2o2b61ob2o3b3obo3b30ob2o164b6o3b2obo3b5o4bob3o2bo$
370bobo2b59o4b5ob2o2b34o164b5obob2ob4o2b2ob2o10b2obo$372bob62o4b5o3b
36obo159b5ob4obo2b2obo3bo3bobob3o2bob3o$378bob58o2bob2o3b34obob2obo
159bob3ob2obobobobo2bob2ob3o2bobobob3o$379bo2b59obo3b36obo2b2o160bo12b
o2bobob2o6b2ob2o2b2o$382b102obob2o172bob2ob3o6b3ob2obo2b2o4b3o$384bob
43ob56obo174b3ob2o5b2o2b3obob3o3b7o$381bobo2bob41ob62obo170bo9bo5bo2bo
bobob2obo$382bob2o2b39o4b62ob2o177b9obob3o2bob4o2bo$384bobo2b39o3b65o
178b16ob2ob2obo$386bob39ob2o2b66obo175b11obobo2bob2o2b2o$392bob33ob2ob
64obob2obo173b10obob2o2bob2o2b2o$393bo2b35o2b6o2bob53obo2b2o175b7o3b3o
3bobo3bobo3b2o$396b33o2b2o2b3obob4ob52obob2o176b5obo3bo2bob4obob5o$
398bob31obob2o2bob2o2bo2b53obo179b2o7b3ob2o4bob3o4bo$395bobo2bob28o4b
3ob4o7b57obo183b3ob3ob2ob2o2b3ob2o$396bob2o2b30ob2o4b2o7bob57ob2o184b
5o4b9o$398bobo2b36obob3o4b61o186b3ob2ob2o4bob2o$400bob40ob2o8b59obo
182bo5b3o3bo3bo$406bob34o4b3o4b56obob2obo183bo2b3o3bob3o$407bo2b38o4b
58obo2b2o182b4o5bo2b2o$410b40ob3ob57obob2o183b4o5b3o$412bob34ob2obo3b
58obo186b2obo2b3o$409bobo2bob34o2b2o2b64obo183bob3o$410bob2o2b39ob2obo
bob58ob2o$412bobo2b36ob2o4b2ob61o$414bob39ob2o4b2ob61obo$420bob36o5b2o
2b56obob2obo$421bo2b34obobobo4b5ob50obo2b2o$424b35o2b2o8b6ob48obob2o$
426bob36o3b2o3b2o2bo3b48obo$423bobo2bob38o2b2ob2o3b56obo$424bob2o2b39o
bo2bo2b2o4b4ob3ob44ob2o$426bobo2b38o2bob5o4bob2o2bobo2bo3b41o$428bob
39ob3obo9b2o2bo4bob2ob42obo$434bob35o2bobo9bobo2b2o3bo2b6ob32obob2obo$
435bo2b39o6b3o2bob3o5b4obo3b2ob28obo2b2o$438b39o5bobo2bo4b2o2bo2b10o2b
ob27obob2o$440bob34o5bo4bob2o2bob3ob3obobo3b2obo3b27obo$437bobo2bob34o
bo3bo2bobobobob2obo2bo3b2obobobo3b33obo$438bob2o2b35ob12ob2obobo2b6o2b
o2b2o2b33ob2o$440bobo2b47obo2bo3b6o3bo2bob2o2b4o3b27o$442bob49o3bo2b5o
2b2o3bobo3b3o7b27obo$448bob45ob9ob5ob2obobobo2bob27obob2obo$449bo2b52o
9bobo3b2obo4b2ob22obo2b2o$452b53o16bo2bo2bob25obob2o$454bob50o11bobob
2obo2b2o2b25obo$451bobo2bob48o10bobo2b2obo2b2o2b31obo$452bob2o2b50o7b
3o3b3obob3obob3o2b25ob2o$454bobo2b51o5bob3ob2obo4bobo5b29o$456bob54o2b
7o3bo2b4obo3b4ob27obo$462bob58o3bo3bo2bo2b2o3bo2b22obob2obo$463bo2b59o
5b4o9b23obo2b2o$466b61o3bo2bo2b4obo2b24obob2o$468bob57ob5o3b3ob3ob26ob
o$465bobo2bob58ob2o3b3obo3b32obo$466bob2o2b57o4b5ob2o2b34ob2o$468bobo
2b58o4b5o3b37o$470bob61o2bob2o3b40obo$476b60obo3b38obob2obo$478b102obo
2b2o$480b102obob2o$482b102obo$484b8o3b95obo$486b2ob4o2b96ob2o$489b5obo
2b46ob49o$490b3o2b3ob45ob51obo$490bo8b43o4b47obob2obo$501b2ob39o3b48ob
o2b2o$499b2o2b39ob2o2b49obob2o$501b3ob37ob2ob52obo$500bo5b40o2b6o2bob
46obo$502bobobob7o3b26o2b2o2b3obob4ob44ob2o$506b2ob2ob4o2b28obob2o2bob
2o2bo2b46o$512b5obo2b24o4b3ob4o7b46obo$513b3o2b3ob25ob2o4b2o7bob42obob
2obo$513bo8b32obob3o4b44obo2b2o$524b2ob30ob2o8b42obob2o$522b2o2b31o4b
3o4b44obo$524b3ob35o4b51obo$523bo5b36ob3ob49ob2o$525bobobob7o3b22ob2ob
o3b51o$529b2ob2ob4o2b24o2b2o2b53obo$535b5obo2b26ob2obobob43obob2obo$
536b3o2b3ob23ob2o4b2ob44obo2b2o$536bo8b25ob2o4b2ob44obob2o$547b2ob23o
5b2o2b44obo$545b2o2b24obobobo4b5ob43obo$547b3ob23o2b2o8b6ob40ob2o$546b
o5b27o3b2o3b2o2bo3b41o$548bobobob7o3b19o2b2ob2o3b45obo$552b2ob2ob4o2b
20obo2bo2b2o4b4ob3ob29obob2obo$558b5obo2b17o2bob5o4bob2o2bobo2bo3b24ob
o2b2o$559b3o2b3ob16ob3obo9b2o2bo4bob2ob25obob2o$559bo8b18o2bobo9bobo2b
2o3bo2b6ob20obo$570b2ob19o6b3o2bob3o5b4obo3b2ob21obo$568b2o2b20o5bobo
2bo4b2o2bo2b10o2bob19ob2o$570b3ob17o5bo4bob2o2bob3ob3obobo3b2obo3b20o$
569bo5b18obo3bo2bobobobob2obo2bo3b2obobobo3b22obo$571bobobob7o3b7ob12o
b2obobo2b6o2bo2b2o2b18obob2obo$575b2ob2ob4o2b20obo2bo3b6o3bo2bob2o2b4o
3b10obo2b2o$581b5obo2b18o3bo2b5o2b2o3bobo3b3o7b10obob2o$582b3o2b3ob19o
b9ob5ob2obobobo2bob15obo$582bo8b28o9bobo3b2obo4b2ob15obo$593b2ob24o16b
o2bo2bob17ob2o$591b2o2b26o11bobob2obo2b2o2b18o$593b3ob24o10bobo2b2obo
2b2o2b20obo$592bo5b25o7b3o3b3obob3obob3o2b10obob2obo$594bobobob7o3b15o
5bob3ob2obo4bobo5b12obo2b2o$598b2ob2ob4o2b17o2b7o3bo2b4obo3b4ob10obob
2o$604b5obo2b24o3bo3bo2bo2b2o3bo2b10obo$605b3o2b3ob26o5b4o9b16obo$605b
o8b28o3bo2bo2b4obo2b16ob2o$616b2ob23ob5o3b3ob3ob19o$614b2o2b27ob2o3b3o
bo3b21obo$616b3ob24o4b5ob2o2b19obob2obo$615bo5b25o4b5o3b20obo2b2o$617b
obobob7o3b15o2bob2o3b23obob2o$621b2ob2ob4o2b18obo3b26obo$627b5obo2b52o
bo$628b3o2b3ob52ob2o$628bo8b55o$639b2ob52obo$637b2o2b50obob2obo$639b3o
b49obo2b2o$638bo5b50obob2o$640bobobob7o3b40obo$644b2ob2ob4o2b46obo$
650b5obo2b44ob2o$651b3o2b3ob46o$651bo8b48obo$662b2ob40obob2obo$660b2o
2b42obo2b2o$662b3ob42obob2o$661bo5b43obo$663bobobob7o3b37obo$667b2ob2o
b4o2b38ob2o$673b5obo2b38o$674b3o2b3ob39obo$674bo8b36obob2obo$685b2ob
32obo2b2o$683b2o2b35obob2o$685b3ob35obo$684bo5b40obo$686bobobob7o3b29o
b2o$690b2ob2ob4o2b32o$696b5obo2b31obo$697b3o2b3ob27obob2obo$697bo8b28o
bo2b2o$708b2ob25obob2o$706b2o2b28obo$708b3ob32obo$707bo5b32ob2o$709bob
obob7o3b23o$713b2ob2ob4o2b25obo$719b5obo2b19obob2obo$720b3o2b3ob19obo
2b2o$720bo8b21obob2o$731b2ob18obo$729b2o2b25obo$731b3ob24ob2o$730bo5b
26o$732bobobob7o3b16obo$736b2ob2ob4o2b13obob2obo$742b5obo2b11obo2b2o$
743b3o2b3ob12obob2o$743bo8b14obo$754b2ob15obo$752b2o2b17ob2o$754b3ob
18o$753bo5b19obo$755bobobob14obob2obo$759b2ob14obo2b2o$764b14obob2o$
766b14obo$768b18obo$770b17ob2o$772b18o$774b18obo$776b13obob2obo$778b
12obo2b2o$780b12obob2o$782b12obo$784b16obo$786b15ob2o$788b16o$790b16ob
o$792b11obob2obo$794b10obo2b2o$796b10obob2o$798b10obo$800b14obo$802b
13ob2o$804b14o$806b14obo$808b9obob2obo$810b8obo2b2o$812b8obob2o$814b8o
bo$816b12o$818b12o$820b12o$822b12o$824b12o$826b12o$828b12o$830b12o10bo
$832b12o5bo3b2o$834b12obo3b3o$836b11ob9o$838b19o$840b18o4bo3bo$842b16o
bo2b2obob2ob3o$844b16o2b2ob4obo2bo$846b15obob2o2b3ob2o6bo$848b11o3b2ob
o3b5o4bob3o2bo$850b8obob2ob4o2b2ob2o10b2obo$852b5ob4obo2b2obo3bo3bobob
3o2bob3o$854bob3ob2obobobobo2bob2ob3o2bobobob3o$855bo12bo2bobob2o6b2ob
2o2b2o$868bob2ob3o6b3ob2obo2b2o4b3o$869b3ob2o5b2o2b3obob3o3b7o$871bo9b
o5bo2bobobob2obo$880b9obob3o2bob4o2bo$881b16ob2ob2obo$882b11obobo2bob
2o2b2o$882b10obob2o2bob2o2b2o$884b7o3b3o3bobo3bobo3b2o$886b5obo3bo2bob
4obob5o$888b2o7b3ob2o4bob3o4bo$898b3ob3ob2ob2o2b3ob2o$901b5o4b9o$903b
3ob2ob2o4bob2o$903bo5b3o3bo3bo$906bo2b3o3bob3o$905b4o5bo2b2o$907b4o5b
3o$909b2obo2b3o$912bob3o!
#C [[ GRID THEME MCell ]]

amling · Post by **amling** » January 7th, 2025, 12:46 am

Are nightspreaders already known? There is a pretty simple c/2 x c/3 edge that can be completed easily:

Code: Select all

x = 99, y = 25, rule = B3678/S34678
34b4ob4o2bob2ob2obo2b4ob4o$41b2obobob3obobob2o$31b3o2bo2bob2ob11ob2obo
2bo2b3o$3bo13b2o19bob8o3b8obo19b2o13bo$b6ob2obobo3b2o3bo5b3o2b2obo3bob
o2b4ob4o2bobo3bob2o2b3o5bo3b2o3bobob2ob6o$ob3o2b4ob2o3bob4o12bobo5bob
4ob4obo5bobo12b4obo3b2ob4o2b3obo$5o3bob4obo2b3ob2ob3o2b2ob9ob6ob6ob9ob
2o2b3ob2ob3o2bob4obo3b5o$9ob3ob2ob8o7b7obob5o5b5obob7o7b8ob2ob3ob9o$6o
b7obob4o6b2ob18obob18ob2o6b4obob7ob6o$b5obo4bob3ob3o2b2o4b41o4b2o2b3ob
3obo4bob5o$2bobobo2b4obob7obob47obob7obob4o2bobobo$4bo4b3o2bo2b2ob2ob
2o2b45o2b2ob2ob2o2bo2b3o4bo$11b4obo2bob2ob51ob2obo2bob4o$4bo4b3o2bo2b
2ob2ob2o2b45o2b2ob2ob2o2bo2b3o4bo$2bobobo2b4obob7obob47obob7obob4o2bob
obo$b5obo4bob3ob3o2b2o4b41o4b2o2b3ob3obo4bob5o$6ob7obob4o6b2ob18obob
18ob2o6b4obob7ob6o$9ob3ob2ob8o7b7obob5o5b5obob7o7b8ob2ob3ob9o$5o3bob4o
bo2b3ob2ob3o2b2ob9ob6ob6ob9ob2o2b3ob2ob3o2bob4obo3b5o$ob3o2b4ob2o3bob
4o12bobo5bob4ob4obo5bobo12b4obo3b2ob4o2b3obo$b6ob2obobo3b2o3bo5b3o2b2o
bo3bobo2b4ob4o2bobo3bob2o2b3o5bo3b2o3bobob2ob6o$3bo13b2o19bob8o3b8obo
19b2o13bo$31b3o2bo2bob2ob11ob2obo2bo2b3o$41b2obobob3obobob2o$34b4ob4o
2bob2ob2obo2b4ob4o!

dbell · Post by **dbell** » January 7th, 2025, 2:56 am

Here is the obvious nested spreader which creates an expanding shell.

Code: Select all

x = 177, y = 77, rule = B3678/S34678
73b4ob4obbobooboobobb4ob4o$80boobobob3oboboboo$70b3obbobboboob11oboobo
bbobb3o$77bob8o3b8obo$67b3obboobo3bobobb4ob4obbobo3boboobb3o$74bobo5bo
b4ob4obo5bobo$64b3obboob9ob6ob6ob9oboobb3o$71b7obob5o5b5obob7o$61b3obb
oob18obob18oboobb3o$68b41o$58b3obboob45oboobb3o$65b47o$55b3obboob51ob
oobb3o$62b53o$52b3obboob57oboobb3o$59b59o$49b3obboob63oboobb3o$56b65o$
46b3obboob69oboobb3o$53b71o$43b3obboob75oboobb3o$50b77o$40b3obboob81ob
oobb3o$47b83o$37b3obboob87oboobb3o$44b89o$34b3obboob31o4bo4boobobbobbo
boo4bo4b31oboobb3o$41b39obbobobo3bobobobb39o$31b3obboob31o3booboobobbo
11bobbobooboo3b31oboobb3o$3bo13boo19b4ob13obb19obo8b3o8bob19obb13ob4o
19boo13bo$b6oboobobo3boo3bo5b3obboob4o6bobbobob3obb3ob5o3boobbob3obob
oo4bo4boobob3obobboo3b5ob3obb3obobobbo6b4oboobb3o5bo3boo3boboboob6o$ob
3obb4oboo3bob4o12b4obo3boo4bobb3obo4b12obob5obo4bo4bob5obob12o4bob3obb
o4boo3bob4o12b4obo3boob4obb3obo$5o3bob4obobb3oboob3obboob6o5b3obo4bob
oo3bobbo3boobbo9bo6bo6bo9bobboo3bobbo3boobo4bob3o5b6oboobb3oboob3obbob
4obo3b5o$9ob3oboob8o7b7o9bo3bobbo8b7o7bobo5b5o5bobo7b7o8bobbo3bo9b7o7b
8oboob3ob9o$6ob7obob4o6boob9o6bo7bobo4b6obbo18bobo18bobb6o4bobo7bo6b9o
boo6b4obob7ob6o$b5obo4bob3ob3obboo4b11o5bob4obo3bo3boobb4o41b4obboo3bo
3bob4obo5b11o4boobb3ob3obo4bob5o$bbobobobb4obob7obob15oboboboo4bobo7bo
bo47bobo7bobo4boobobob15obob7obob4obbobobo$4bo4b3obbobboobooboobb16ob
4o3booboobbobbobboo45boobbobbobbooboo3b4ob16obboobooboobbobb3o4bo$11b
4obobboboob26o4boboobobbo51bobboboobo4b26oboobobbob4o$4bo4b3obbobboob
ooboobb16ob4o3booboobbobbobboo45boobbobbobbooboo3b4ob16obboobooboobbo
bb3o4bo$bbobobobb4obob7obob15oboboboo4bobo7bobo47bobo7bobo4boobobob15o
bob7obob4obbobobo$b5obo4bob3ob3obboo4b11o5bob4obo3bo3boobb4o41b4obboo
3bo3bob4obo5b11o4boobb3ob3obo4bob5o$6ob7obob4o6boob9o6bo7bobo4b6obbo
18bobo18bobb6o4bobo7bo6b9oboo6b4obob7ob6o$9ob3oboob8o7b7o9bo3bobbo8b7o
7bobo5b5o5bobo7b7o8bobbo3bo9b7o7b8oboob3ob9o$5o3bob4obobb3oboob3obboob
6o5b3obo4boboo3bobbo3boobbo9bo6bo6bo9bobboo3bobbo3boobo4bob3o5b6oboobb
3oboob3obbob4obo3b5o$ob3obb4oboo3bob4o12b4obo3boo4bobb3obo4b12obob5obo
4bo4bob5obob12o4bob3obbo4boo3bob4o12b4obo3boob4obb3obo$b6oboobobo3boo
3bo5b3obboob4o6bobbobob3obb3ob5o3boobbob3oboboo4bo4boobob3obobboo3b5ob
3obb3obobobbo6b4oboobb3o5bo3boo3boboboob6o$3bo13boo19b4ob13obb19obo8b
3o8bob19obb13ob4o19boo13bo$31b3obboob31o3booboobobbo11bobbobooboo3b31o
boobb3o$41b39obbobobo3bobobobb39o$34b3obboob31o4bo4boobobbobboboo4bo4b
31oboobb3o$44b89o$37b3obboob87oboobb3o$47b83o$40b3obboob81oboobb3o$50b
77o$43b3obboob75oboobb3o$53b71o$46b3obboob69oboobb3o$56b65o$49b3obboob
63oboobb3o$59b59o$52b3obboob57oboobb3o$62b53o$55b3obboob51oboobb3o$65b
47o$58b3obboob45oboobb3o$68b41o$61b3obboob18obob18oboobb3o$71b7obob5o
5b5obob7o$64b3obboob9ob6ob6ob9oboobb3o$74bobo5bob4ob4obo5bobo$67b3obb
oobo3bobobb4ob4obbobo3boboobb3o$77bob8o3b8obo$70b3obbobboboob11oboobo
bbobb3o$80boobobob3oboboboo$73b4ob4obbobooboobobb4ob4o!

BCNU,
-dbell

Naszvadi · Post by **Naszvadi** » January 7th, 2025, 4:15 am

Probably a 2c/7 oblique ship can be supported by this wave:

Code: Select all

x = 673, y = 407, rule = B3678/S34678
321b4ob4o2bob2ob2obo2b4ob4o$328b2obobob3obobob2o$318b3o2bo2bob2ob11ob
2obo2bo2b3o$325bob8o3b8obo$315b3o2b2obo3bobo2b4ob4o2bobo3bob2o2b3o$
322bobo5bob4ob4obo5bobo$312b3o2b2ob9ob6ob6ob9ob2o2b3o$319b7obob5o5b5ob
ob7o$309b3o2b2ob18obob18ob2o2b3o$316b41o$306b3o2b2ob45ob2o2b3o$313b47o
$303b3o2b2ob51ob2o2b3o$310b53o$300b3o2b2ob57ob2o2b3o$307b59o$297b3o2b
2ob63ob2o2b3o$304b65o$294b3o2b2ob69ob2o2b3o$301b71o$291b3o2b2ob75ob2o
2b3o$298b77o$288b3o2b2ob81ob2o2b3o$295b83o$285b3o2b2ob87ob2o2b3o$292b
89o$282b3o2b2ob93ob2o2b3o$289b95o$279b3o2b2ob99ob2o2b3o$286b101o$276b
3o2b2ob105ob2o2b3o$283b107o$273b3o2b2ob111ob2o2b3o$280b113o$270b3o2b2o
b117ob2o2b3o$277b119o$267b3o2b2ob123ob2o2b3o$274b125o$264b3o2b2ob129ob
2o2b3o$271b131o$261b3o2b2ob135ob2o2b3o$268b137o$258b3o2b2ob141ob2o2b3o
$265b143o$255b3o2b2ob147ob2o2b3o$262b149o$252b3o2b2ob153ob2o2b3o$259b
155o$249b3o2b2ob159ob2o2b3o$256b161o$246b3o2b2ob165ob2o2b3o$253b167o$
243b3o2b2ob171ob2o2b3o$250b173o$240b3o2b2ob177ob2o2b3o$247b179o$237b3o
2b2ob183ob2o2b3o$244b185o$234b3o2b2ob189ob2o2b3o$241b191o$231b3o2b2ob
195ob2o2b3o$238b197o$228b3o2b2ob201ob2o2b3o$235b203o$225b3o2b2ob207ob
2o2b3o$232b209o$222b3o2b2ob213ob2o2b3o$229b215o$219b3o2b2ob219ob2o2b3o
$226b221o$216b3o2b2ob225ob2o2b3o$223b227o$213b3o2b2ob231ob2o2b3o$220b
233o$210b3o2b2ob237ob2o2b3o$217b239o$207b3o2b2ob243ob2o2b3o$214b245o$
204b3o2b2ob249ob2o2b3o$211b251o$201b3o2b2ob255ob2o2b3o$208b257o$198b3o
2b2ob261ob2o2b3o$205b263o$195b3o2b2ob267ob2o2b3o$202b269o$192b3o2b2ob
273ob2o2b3o$199b275o$189b3o2b2ob279ob2o2b3o$196b281o$186b3o2b2ob285ob
2o2b3o$193b287o$183b3o2b2ob291ob2o2b3o$190b293o$180b3o2b2ob297ob2o2b3o
$187b299o$177b3o2b2ob303ob2o2b3o$184b305o$174b3o2b2ob309ob2o2b3o$181b
311o$171b3o2b2ob315ob2o2b3o$178b317o$168b3o2b2ob321ob2o2b3o$175b323o$
165b3o2b2ob327ob2o2b3o$172b329o$162b3o2b2ob333ob2o2b3o$169b335o$159b3o
2b2ob339ob2o2b3o$166b341o$156b3o2b2ob345ob2o2b3o$163b347o$153b3o2b2ob
351ob2o2b3o$160b353o$150b3o2b2ob357ob2o2b3o$157b359o$147b3o2b2ob363ob
2o2b3o$154b365o$144b3o2b2ob369ob2o2b3o$151b371o$141b3o2b2ob375ob2o2b3o
$148b377o$138b3o2b2ob381ob2o2b3o$145b383o$135b3o2b2ob387ob2o2b3o$142b
389o$132b3o2b2ob393ob2o2b3o$139b395o$129b3o2b2ob399ob2o2b3o$136b401o$
126b3o2b2ob405ob2o2b3o$133b407o$123b3o2b2ob411ob2o2b3o$130b413o$120b3o
2b2ob417ob2o2b3o$127b419o$117b3o2b2ob423ob2o2b3o$124b425o$114b3o2b2ob
429ob2o2b3o$121b431o$111b3o2b2ob435ob2o2b3o$118b437o$108b3o2b2ob441ob
2o2b3o$115b443o$105b3o2b2ob447ob2o2b3o$112b449o$102b3o2b2ob453ob2o2b3o
$109b455o$99b3o2b2ob459ob2o2b3o$106b461o$96b3o2b2ob465ob2o2b3o$103b
467o$93b3o2b2ob471ob2o2b3o$100b473o$90b3o2b2ob477ob2o2b3o$97b479o$87b
3o2b2ob483ob2o2b3o$94b485o$84b3o2b2ob489ob2o2b3o$91b491o$81b3o2b2ob
495ob2o2b3o$88b497o$78b3o2b2ob501ob2o2b3o$85b503o$75b3o2b2ob507ob2o2b
3o$82b509o$72b3o2b2ob513ob2o2b3o$79b515o$69b3o2b2ob519ob2o2b3o$76b521o
$66b3o2b2ob525ob2o2b3o$73b527o$63b3o2b2ob531ob2o2b3o$70b533o$60b3o2b2o
b537ob2o2b3o$67b539o$57b3o2b2ob543ob2o2b3o$64b545o$54b3o2b2ob549ob2o2b
3o$61b551o$51b3o2b2ob555ob2o2b3o$58b557o$48b3o2b2ob561ob2o2b3o$55b563o
$45b3o2b2ob567ob2o2b3o$52b569o$42b3o2b2ob573ob2o2b3o$49b575o$39b3o2b2o
b579ob2o2b3o$46b581o$36b3o2b2ob585ob2o2b3o$43b278o4bo4b2obo2bo2bob2o4b
o4b278o$33b3o2b2ob287o2bobobo3bobobo2b287ob2o2b3o$40b278o3b2ob2obo2bo
11bo2bob2ob2o3b278o$4bobo11b2o10b3o2b2ob252ob13o2b19obo8b3o8bob19o2b
13ob252ob2o2b3o10b2o11bobo$2bobobo2b2o6b2o2bo15b251o6bo2bobob3o2b3ob5o
3b2o2bob3obob2o4bo4b2obob3obo2b2o3b5ob3o2b3obobo2bo6b251o15bo2b2o6b2o
2bobobo$b5ob2obob3o2b3obobo3b3o2b2ob252obo3b2o4bo2b3obo4b12obob5obo4bo
4bob5obob12o4bob3o2bo4b2o3bob252ob2o2b3o3bobob3o2b3obob2ob5o$6o2bobob
2o5b5o10b253o5b3obo4bob2o3bo2bo3b2o2bo9bo6bo6bo9bo2b2o3bo2bo3b2obo4bob
3o5b253o10b5o5b2obobo2b6o$ob4obo2b5obob4ob4o2b2ob255o9bo3bo2bo8b7o7bob
o5b5o5bobo7b7o8bo2bo3bo9b226o2b27ob2o2b4ob4obob5o2bob4obo$b7o2b3o2bobo
b3o9b256o6bo7bobo4b6o2bo18bobo18bo2b6o4bobo7bo6b224obobob27o9b3obobo2b
3o2b7o$bob3o2bo2b2ob2o2b4ob2ob2ob259o5bob4obo3bo3b2o2b4o41b4o2b2o3bo3b
ob4obo5b225obo3b29ob2ob2ob4o2b2ob2o2bo2b3obo$2b4o3b2o2bob7ob3o2b261obo
bob2o4bobo7bobo47bobo7bobo4b2obobob228obob30o2b3ob7obo2b2o3b4o$4bobo3b
6o4b4ob266ob4o3b2ob2o2bo2bo2b2o45b2o2bo2bo2b2ob2o3b4ob66o2b11o2b148o2b
ob33ob4o4b6o3bobo$11bob3o4b2o2bob272o4bob2obo2bo25bo25bo2bob2obo4b74ob
ob7obob148o2b35obo2b2o4b3obo$4bobo3b6o4b4ob266ob4o3b2ob2o2bo2bo2b2o45b
2o2bo2bo2b2ob2o3b4ob68o2b7o2b150o4b33ob4o4b6o3bobo$2b4o3b2o2bob7ob3o2b
261obobob2o4bobo7bobo47bobo7bobo4b2obobob65obo2b5o2bob149o4b30o2b3ob7o
bo2b2o3b4o$bob3o2bo2b2ob2o2b4ob2ob2ob259o5bob4obo3bo3b2o2b4o41b4o2b2o
3bo3bob4obo5b64o4bo3bo4b149o3b30ob2ob2ob4o2b2ob2o2bo2b3obo$b7o2b3o2bob
ob3o9b256o6bo7bobo4b6o2bo18bobo18bo2b6o4bobo7bo6b63o5b3o5b148obob29o9b
3obobo2b3o2b7o$ob4obo2b5obob4ob4o2b2ob255o9bo3bo2bo8b7o7bobo5b5o5bobo
7b7o8bo2bo3bo9b66ob5ob182ob2o2b4ob4obob5o2bob4obo$6o2bobob2o5b5o10b
253o5b3obo4bob2o3bo2bo3b2o2bo9bo6bo6bo9bo2b2o3bo2bo3b2obo4bob3o5b253o
10b5o5b2obobo2b6o$b5ob2obob3o2b3obobo3b3o2b2ob252obo3b2o4bo2b3obo4b12o
bob5obo4bo4bob5obob12o4bob3o2bo4b2o3bob252ob2o2b3o3bobob3o2b3obob2ob5o
$2bobobo2b2o6b2o2bo15b251o6bo2bobob3o2b3ob5o3b2o2bob3obob2o4bo4b2obob
3obo2b2o3b5ob3o2b3obobo2bo6b251o15bo2b2o6b2o2bobobo$4bobo11b2o10b3o2b
2ob252ob13o2b19obo8b3o8bob19o2b13ob252ob2o2b3o10b2o11bobo$40b278o3b2ob
2obo2bo11bo2bob2ob2o3b278o$33b3o2b2ob287o2bobobo3bobobo2b287ob2o2b3o$
43b278o4bo4b2obo2bo2bob2o4bo4b278o$36b3o2b2ob585ob2o2b3o$46b581o$39b3o
2b2ob579ob2o2b3o$49b575o$42b3o2b2ob573ob2o2b3o$52b569o$45b3o2b2ob567ob
2o2b3o$55b563o$48b3o2b2ob561ob2o2b3o$58b557o$51b3o2b2ob555ob2o2b3o$61b
551o$54b3o2b2ob549ob2o2b3o$64b545o$57b3o2b2ob543ob2o2b3o$67b539o$60b3o
2b2ob537ob2o2b3o$70b533o$63b3o2b2ob531ob2o2b3o$73b527o$66b3o2b2ob525ob
2o2b3o$76b521o$69b3o2b2ob519ob2o2b3o$79b515o$72b3o2b2ob513ob2o2b3o$82b
509o$75b3o2b2ob507ob2o2b3o$85b503o$78b3o2b2ob501ob2o2b3o$88b497o$81b3o
2b2ob495ob2o2b3o$91b491o$84b3o2b2ob489ob2o2b3o$94b485o$87b3o2b2ob483ob
2o2b3o$97b479o$90b3o2b2ob477ob2o2b3o$100b473o$93b3o2b2ob471ob2o2b3o$
103b338ob128o$96b3o2b2ob337o3b125ob2o2b3o$106b335o2b124o$99b3o2b2ob
333o5b121ob2o2b3o$109b331o5b119o$102b3o2b2ob329obo3b2ob116ob2o2b3o$
112b328ob5o2b113o$105b3o2b2ob222o2b104ob2o4b112ob2o2b3o$115b218obobob
105o2b2obob108o$108b3o2b2ob217obo3b110o2b107ob2o2b3o$118b217obob110obo
b104o$111b3o2b2ob215o2bob114ob101ob2o2b3o$121b212o2b116obob98o$114b3o
2b2ob212o4b112obobo2b95ob2o2b3o$124b210o4b113obobob93o$117b3o2b2ob209o
3b115obobob91ob2o2b3o$127b206obob116o2bobob88o$120b3o2b2ob326obobob86o
b2o2b3o$130b325obobob83o$123b3o2b2ob325obobob81ob2o2b3o$133b324obobob
78o$126b3o2b2ob324obo3b76ob2o2b3o$136b323o3bob73o$129b3o2b2ob323obob2o
b70ob2o2b3o$139b322obo3b68o$132b3o2b2ob323o3b67ob2o2b3o$142b320o4b65o$
135b3o2b2ob387ob2o2b3o$145b383o$138b3o2b2ob381ob2o2b3o$148b377o$141b3o
2b2ob375ob2o2b3o$151b371o$144b3o2b2ob369ob2o2b3o$154b365o$147b3o2b2ob
363ob2o2b3o$157b359o$150b3o2b2ob357ob2o2b3o$160b353o$153b3o2b2ob351ob
2o2b3o$163b347o$156b3o2b2ob345ob2o2b3o$166b341o$159b3o2b2ob339ob2o2b3o
$169b335o$162b3o2b2ob333ob2o2b3o$172b329o$165b3o2b2ob327ob2o2b3o$175b
323o$168b3o2b2ob321ob2o2b3o$178b317o$171b3o2b2ob315ob2o2b3o$181b311o$
174b3o2b2ob309ob2o2b3o$184b305o$177b3o2b2ob303ob2o2b3o$187b299o$180b3o
2b2ob297ob2o2b3o$190b293o$183b3o2b2ob291ob2o2b3o$193b287o$186b3o2b2ob
285ob2o2b3o$196b281o$189b3o2b2ob279ob2o2b3o$199b275o$192b3o2b2ob273ob
2o2b3o$202b269o$195b3o2b2ob267ob2o2b3o$205b263o$198b3o2b2ob261ob2o2b3o
$208b257o$201b3o2b2ob255ob2o2b3o$211b251o$204b3o2b2ob249ob2o2b3o$214b
245o$207b3o2b2ob243ob2o2b3o$217b239o$210b3o2b2ob237ob2o2b3o$220b233o$
213b3o2b2ob231ob2o2b3o$223b227o$216b3o2b2ob225ob2o2b3o$226b221o$219b3o
2b2ob219ob2o2b3o$229b215o$222b3o2b2ob213ob2o2b3o$232b209o$225b3o2b2ob
207ob2o2b3o$235b203o$228b3o2b2ob201ob2o2b3o$238b197o$231b3o2b2ob195ob
2o2b3o$241b191o$234b3o2b2ob189ob2o2b3o$244b185o$237b3o2b2ob183ob2o2b3o
$247b179o$240b3o2b2ob177ob2o2b3o$250b173o$243b3o2b2ob171ob2o2b3o$253b
167o$246b3o2b2ob165ob2o2b3o$256b161o$249b3o2b2ob159ob2o2b3o$259b155o$
252b3o2b2ob153ob2o2b3o$262b149o$255b3o2b2ob147ob2o2b3o$265b143o$258b3o
2b2ob141ob2o2b3o$268b137o$261b3o2b2ob135ob2o2b3o$271b131o$264b3o2b2ob
129ob2o2b3o$274b125o$267b3o2b2ob123ob2o2b3o$277b119o$270b3o2b2ob117ob
2o2b3o$280b113o$273b3o2b2ob111ob2o2b3o$283b107o$276b3o2b2ob46ob11ob46o
b2o2b3o$286b44ob11ob44o$279b3o2b2ob43o3b7o3b43ob2o2b3o$289b42o2b7o2b
42o$282b3o2b2ob39obo3b5o3bob39ob2o2b3o$292b37o3bo3bo3bo3b37o$285b3o2b
2ob39o3bobo3b39ob2o2b3o$295b83o$288b3o2b2ob81ob2o2b3o$298b77o$291b3o2b
2ob75ob2o2b3o$301b71o$294b3o2b2ob69ob2o2b3o$304b65o$297b3o2b2ob63ob2o
2b3o$307b59o$300b3o2b2ob57ob2o2b3o$310b53o$303b3o2b2ob51ob2o2b3o$313b
47o$306b3o2b2ob45ob2o2b3o$316b41o$309b3o2b2ob18obob18ob2o2b3o$319b7obo
b5o5b5obob7o$312b3o2b2ob9ob6ob6ob9ob2o2b3o$322bobo5bob4ob4obo5bobo$
315b3o2b2obo3bobo2b4ob4o2bobo3bob2o2b3o$325bob8o3b8obo$318b3o2bo2bob2o
b11ob2obo2bo2b3o$328b2obobob3obobob2o$321b4ob4o2bob2ob2obo2b4ob4o!

Post by **Sokwe** » January 7th, 2025, 4:21 am

amling wrote: January 7th, 2025, 12:46 am Are nightspreaders already known? There is a pretty simple c/2 x c/3 edge that can be completed easily:

Here is the maximally reversed form (while still keeping all components intact):

Code: Select all

x = 89, y = 19, rule = B3678/S34678
3bo13b2o16b2o5bo3bo5b2o16b2o13bo$b6ob2obobo3b2o3bo5b6ob3ob5ob5ob3ob6o
5bo3b2o3bobob2ob6o$ob3o2b4ob2o3bob4o11bob2ob4obob4ob2obo11b4obo3b2ob4o
2b3obo$5o3bob4obo2b3ob2ob3o2b3o2bobo3b3ob3o3bobo2b3o2b3ob2ob3o2bob4obo
3b5o$9ob3ob2ob8o8bob2o3b4ob4o3b2obo8b8ob2ob3ob9o$6ob7obob4o6b2ob3o2b2o
3b3o3b3o3b2o2b3ob2o6b4obob7ob6o$b5obo4bob3ob3o2b2o4b4obob17obob4o4b2o
2b3ob3obo4bob5o$2bobobo2b4obob7obob9obob5o3b5obob9obob7obob4o2bobobo$
4bo4b3o2bo2b2ob2ob2o2b15o2bo2b15o2b2ob2ob2o2bo2b3o4bo$11b4obo2bob2ob
41ob2obo2bob4o$4bo4b3o2bo2b2ob2ob2o2b15o2bo2b15o2b2ob2ob2o2bo2b3o4bo$
2bobobo2b4obob7obob9obob5o3b5obob9obob7obob4o2bobobo$b5obo4bob3ob3o2b
2o4b4obob17obob4o4b2o2b3ob3obo4bob5o$6ob7obob4o6b2ob3o2b2o3b3o3b3o3b2o
2b3ob2o6b4obob7ob6o$9ob3ob2ob8o8bob2o3b4ob4o3b2obo8b8ob2ob3ob9o$5o3bob
4obo2b3ob2ob3o2b3o2bobo3b3ob3o3bobo2b3o2b3ob2ob3o2bob4obo3b5o$ob3o2b4o
b2o3bob4o11bob2ob4obob4ob2obo11b4obo3b2ob4o2b3obo$b6ob2obobo3b2o3bo5b
6ob3ob5ob5ob3ob6o5bo3b2o3bobob2ob6o$3bo13b2o16b2o5bo3bo5b2o16b2o13bo!

amling · Post by **amling** » January 7th, 2025, 6:04 am

amling wrote: January 7th, 2025, 12:46 am Are nightspreaders already known? There is a pretty simple c/2 x c/3 edge that can be completed easily:
Code: Select all
(snip)

Both halved corners are also quite doable allowing a quarter spreader (and of course half spreaders, not pictured):

Code: Select all

x = 108, y = 54, rule = B3678/S34678
20b2o3b2o$9b3ob3o2b4o$7b2obob3ob2o2b5o2b3o$7b2o2bo2b3ob3o$6bob4ob4o3b
2o2bob2o2b3o$5b7ob5obo2bobobo$3b3ob12o5b2obob2o2b3o$2bobo2b11o2b3ob5o$
2b5ob23ob2o2b3o$b31o$ob32ob2o2b3o$b34o$ob35ob2o2b3o$b37o$ob38ob2o2b3o$
b40o$ob41ob2o2b3o$b43o50bo2bo3bo$ob44ob2o2b3o42b8o$b46o47b2ob2ob3obo$o
b47ob2o2b3o38b4o2b4o$b49o44b2obo2b5o$ob50ob2o2b3o35b3ob6o$b52o43b4obo$
ob53ob2o2b3o32b9o$b55o42bobob2o$ob56ob2o2b3o31bo3b2o$b58o40bo2b4o$ob
59ob2o2b3o9bo6b2o9b2obo2b5o$b61o16b4ob3obo10bob8o$ob62ob2o2b3o4bob4obo
b3o10bo3b6o$b64o13b2o2b5obobobo4b2o3b5o$ob65ob2o2b3o4bo2bo2b3o4b4ob5ob
obo$b67o10b3ob3o5b3o3bobo4bo$ob68ob2o2b3obo4bob2o2b3ob2o$b70o8b4ob3ob
2obo2b2o$ob71ob3ob6obobo2bobob2o$b73o4bo2bob4o3bob2o$b75o4bo2b2obo5b2o
bo2bobo$ob75obo3b2ob2o5b2obo3b3o$b2o2bobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobob2o2bob2o3b2o7b3o3b4o$75b2ob3o2b2ob
3o2bob3o2bob2o$78b2o2b3o2b2o2bob3o3bo$80bob5o3b6o2b2o$80bobob2ob2o3bob
obobo$82bo5bob2ob5o$88bob3obo$91bob3o$87b3o4b2o$88bo3b2o$90b2ob4o$93b
4o$93b3o$92bobo!

amling · Post by **amling** » January 7th, 2025, 12:50 pm

Here is an octagonal spreader with a different edge and c/2 and c/3d corners, fast enough to contain a (2, 1)c/5 negative knightship:

Code: Select all

x = 217, y = 217, rule = B3678/S34678
105bo5bo$104b3o3b3o$103b5ob5o$104b3o3b3o$103bo3bobo3bo$106b2ob2o$107bo
bo$106b5o$105bob3obo$103bobob3obobo$101bob11obo$99bob3ob7ob3obo$97bob
3ob11ob3obo$95bob3ob15ob3obo$93bob3ob19ob3obo$91bob3ob23ob3obo$89bob3o
b27ob3obo$87bob3ob31ob3obo$85bob3ob35ob3obo$83bob3ob39ob3obo$81bob3ob
43ob3obo$79bob3ob47ob3obo$77bob3ob51ob3obo$75bob3ob55ob3obo$73bob3ob
59ob3obo$71bob3ob63ob3obo$69bob3ob67ob3obo$67bob3ob71ob3obo$55bo9bob3o
b75ob3obo9bo$54b2o7bob3ob79ob3obo7b2o$53b2ob2obobob3ob83ob3obobob2ob2o
$52bobobobo2b3ob87ob3o2bobobobo$48b2ob2o3b6ob91ob6o3b2ob2o$47b2ob2obo
3bo3b95o3bo3bob2ob2o$46b5o2bob2o2b99o2b2obo2b5o$46b2o2bo3b3ob101ob3o3b
o2b2o$47bob2o4bobobob95obobobo4b2obo$46bobo3bobo3bo2b95o2bo3bobo3bobo$
45b2obo2bo3bo3bob95obo3bo3bo2bob2o$46bo4bob2ob105ob2obo4bo$45b2obo6b2o
2bo2b93o2bo2b2o6bob2o$45bobo6b2ob103ob2o6bobo$45bo2bobo5b3obob93obob3o
5bobo2bo$45bo4bo4bo2bo2b95o2bo2bo4bo4bo$50bo9b97o9bo$38bob4o8bo4b3ob
95ob3o4bo8b4obo$34b2ob4o11bo5b101o5bo11b4ob2o$33b4o4bo16b3o2b91o2b3o
16bo4b4o$32b3o2b2obobo8b2ob2ob3o2b93o2b3ob2ob2o8bobob2o2b3o$32bobobo
14b4o2b4o2b91o2b4o2b4o14bobobo$33b4o5b3o6b115o6b3o5b4o$32b2o4b2o8b121o
8b2o4b2o$31b2o4bo7b2ob37o3b81ob2o7bo4b2o$30bo2b2o4bo9b34o3bo2b79o9bo4b
2o2bo$29b3o3bobobobo6b34o2bobob81o6bobobobo3b3o$28b2o4b3obob2obo4bob
31o2bo2b2ob78obo4bob2obob3o4b2o$30b3ob2o3b2obo7b31o2b2ob2o3b76o7bob2o
3b2ob3o$30bob2o2bo2bob2o2bo2b33obob5ob79o2bo2b2obo2bo2b2obo$31b2o2bobo
bob3ob35obo2b4obob81ob3obobobo2b2o$30bobob3ob4o3b41o7b79o3b4ob3obobo$
32bob2o3bob2obob2ob32obo4b4ob76ob2obob2obo3b2obo$30b10obob4o3b33o3bobo
b2ob74o3b4obob10o$31bob14obob31o2bobob2o3b75obob14obo$29b57obo2b98o$
30bob51o3b4o2b93obo$28b56obo2bo2bo3b94o$29bob53obo3bo5b91obo$27b57o3bo
3b2ob96o$28bob57obob2obo2b91obo$26b61obobobo3b95o$27bob60ob4obob91obo$
25b63o2b5obo2b93o$26bob59obo2bobo3b2ob89obo$24b64ob2ob2o4b95o$25bob62o
b8o2b90obo$23b67obo2b3obob94o$24bob64o2bobobob93obo$22b69ob2ob100o$23b
ob67o2b98obo$21b70o2bo4bob96o$22bob67o6b2o2b92obo$20b70o2bo8b96o$21bob
67o7bobob93obo$19b70obo5b3ob2o2b94o$20bob68o6bob5ob91obo$18b73o5b2o2bo
2b96o$19bob70o6bobob2ob92obo$17b75o5b2obo2b97o$18bob72o3b2o3bo4b92obo$
16b77o3b5o3b97o$17bob74obob2o3b97obo$15b82ob3obob98o$16bob82obob2ob93o
bo$14b86ob2o2b98o$15bob83o2b98obo$13b191o$14bob82o2bo2b98obo$12b86o3bo
2b101o$13bob82obo2bo2b2ob95obo$11b86obo2b2o3b100o$12bob84o8b97obo$10b
88o3bob3o2b99o$11bob85obobobo2b98obo$2bobo4b95o4b100o4bobo$b3o6bob87ob
2o2bob99obo6b3o$4o4b93o3b2o2b101o4b4o$b3obobo2b92ob2obo2b98o2bobob3o$
2bob99obo3b105obo$7b96o2b3ob101o$2bob97o2b3o2b105obo$b3obobo2b91o2bo2b
ob99o2bobob3o$4o4b93obo3b103o4b4o$b3o6bob90o2b101obo6b3o$2bobo4b92obob
o3b100o4bobo$11bob87o3bob3ob95obo$10b90o9b98o$12bob86o8b95obo$11b90o7b
ob96o$13bob86o6bo3b91obo$12b91obob99o$14bob88obob3o2b89obo$13b92ob3o2b
93o$15bob89ob93obo$14b92obob94o$16bob88o5b88obo$15b95ob91o$17bob88o2bo
b87obo$16b90o3bobob88o$18bob89obob85obo$17b92ob90o$19bob89o2bo2b81obo$
18b92o2b87o$20bob87ob3o3b79obo$19b91o2bob84o$21bob87ob2obob78obo$20b
177o$22bob88o2b79obo$21b92o3b80o$23bob86obo2b77obo$22b90o4b79o$24bob
88o4b73obo$23b92obo2b75o$25bob91o3b69obo$24b92o3b2ob71o$26bob89o2bo3b
66obo$25b92o4b71o$27bob89o4b66obo$26b94o2b2ob66o$28bob90ob2o2b62obo$
27b96o2bob63o$29bob91o5b59obo$28b92o2b2o4b61o$30bob88o2bobo3b57obo$29b
91o3b2o2bob59o$31bob14obob72ob3obob38obob14obo$30b10obob4o3b72obobob
40o3b4obob10o$32bob2o3bob2obob2ob73o4bo2b39ob2obob2obo3b2obo$30bobob3o
b4o3b82ob44o3b4ob3obobo$31b2o2bobobob3ob78o6b43ob3obobobo2b2o$30bob2o
2bo2bob2o2bo2b74obobob42o2bo2b2obo2bo2b2obo$30b3ob2o3b2obo7b73obob41o
7bob2o3b2ob3o$28b2o4b3obob2obo4bob75o2b40obo4bob2obob3o4b2o$29b3o3bobo
bobo6b77obob41o6bobobobo3b3o$30bo2b2o4bo9b75obo2b40o9bo4b2o2bo$31b2o4b
o7b2ob76o2bobob39ob2o7bo4b2o$32b2o4b2o8b77o2bobo2b37o8b2o4b2o$33b4o5b
3o6b74obobo2bo2b32o6b3o5b4o$32bobobo14b4o2b4o2b64obo4b21o2b4o2b4o14bob
obo$32b3o2b2obobo8b2ob2ob3o2b70ob22o2b3ob2ob2o8bobob2o2b3o$33b4o4bo16b
3o2b91o2b3o16bo4b4o$34b2ob4o11bo5b101o5bo11b4ob2o$38bob4o8bo4b3ob95ob
3o4bo8b4obo$50bo9b97o9bo$45bo4bo4bo2bo2b95o2bo2bo4bo4bo$45bo2bobo5b3ob
ob93obob3o5bobo2bo$45bobo6b2ob103ob2o6bobo$45b2obo6b2o2bo2b93o2bo2b2o
6bob2o$46bo4bob2ob105ob2obo4bo$45b2obo2bo3bo3bob95obo3bo3bo2bob2o$46bo
bo3bobo3bo2b95o2bo3bobo3bobo$47bob2o4bobobob95obobobo4b2obo$46b2o2bo3b
3ob101ob3o3bo2b2o$46b5o2bob2o2b99o2b2obo2b5o$47b2ob2obo3bo3b95o3bo3bob
2ob2o$48b2ob2o3b6ob91ob6o3b2ob2o$52bobobobo2b3ob87ob3o2bobobobo$53b2ob
2obobob3ob83ob3obobob2ob2o$54b2o7bob3ob79ob3obo7b2o$55bo9bob3ob75ob3ob
o9bo$67bob3ob71ob3obo$69bob3ob67ob3obo$71bob3ob63ob3obo$73bob3ob59ob3o
bo$75bob3ob55ob3obo$77bob3ob51ob3obo$79bob3ob47ob3obo$81bob3ob43ob3obo
$83bob3ob39ob3obo$85bob3ob35ob3obo$87bob3ob31ob3obo$89bob3ob27ob3obo$
91bob3ob23ob3obo$93bob3ob19ob3obo$95bob3ob15ob3obo$97bob3ob11ob3obo$
99bob3ob7ob3obo$101bob11obo$103bobob3obobo$105bob3obo$106b5o$107bobo$
106b2ob2o$103bo3bobo3bo$104b3o3b3o$103b5ob5o$104b3o3b3o$105bo5bo!

TBD fractional versions or maybe even a (2, 1)c/5 corner for that same edge.

EDIT: Not too hard. Eighth max (and of course all eighth-aligned pie wedges are possible as well):

Code: Select all

x = 103, y = 85, rule = B3678/S34678
99bo$98b3o$101bo$98bob2o$100b2o$99b2o$97bo2b3o$101b2o$97bobobo$99bo$
13b2o10b3o70b2o$2b2ob4ob2ob3o9b2obo69b2o$b2obo2bo2b2ob4o9b3o68bo2bo$4o
3bo2bob4o6b3o72bob2o$b2obo2bo4bo3bo5b2o2b2o70bo$o2bo7bobo9bo74bo$14bob
o4bo75b2o$15bo4b3o72b2o$15bo3bobobo72bo$16b2o2b4o68bob2o$17bo3b2o68b3o
$14b2obob8o65b3o$14b3o3b3o2b2o63b4o$16b2ob2obobo63bobo2bo$17b8o64b2o$
16b3o2bo$18b5o2bo62bo$17bob2o3b2obo59b2o$18b4obob3obo56bo$18bo2b5ob3ob
o54b2o$22b6ob3obo50bobo$21b9ob3obo49b2o$22b10ob3obo46bo$21b13ob3obo46b
o$22b14ob3obo40b2ob3o$21b17ob3obo39bo2bo$22b18ob3obo37bob2o$21b21ob3ob
o$22b22ob3obo33bo$21b25ob3obo22b2o3b4ob2o$22b26ob3obo19bo2bo5b2o$21b
29ob3obo12bo4b4ob2obo2bo$22b30ob3obo3bo6b2o2b4obo3bo$21b33ob3obob3o3b
2ob3ob2obo$22b34ob3ob3obob3ob3o2bo$21b37ob2o2b7o2bo3bo$22b38obo2bob2ob
6o2b3o$21b40o3b8o3b2o2b3o5bo$22b38o4b2o2bo2b6o3b2obob4o$21b38obo2b9o3b
3obob5o2b2o$22b36obobo2bob3o4bo3bo3bo7b2o$21b36obo2b6o2bo2bobo3bo5b4ob
o$22b34obo3b5o2bob2o12bo4bo$21b34obo3b3o2bo21bobo$22b32obo6bobo24bo$
21b32obo$22b30obo32b3o$21b30obo33bo$22b28obo$21b28obo$22b26obo$21b26ob
o$22b24obo$21b24obo$22b22obo$21b22obo$22b20obo$21b20obo$22b18obo$21b
18obo$22b16obo$21b16obo$22b14obo$21b14obo$22b12obo$21b12obo$22b10obo$
21b10obo$22b8obo$21b8obo$22b6obo$21b6obo$22b4obo$22b2o3b2o$27b2o!

EDIT2: Even with just c/3d and 2c/4 and the edges above there are quite a few corners possible. Here for example is an expanding quadrilateral with vertices at (reduced) c/2 N, c/3d NE, c/2 E and c/3 E:

Code: Select all

x = 200, y = 174, rule = B3678/S34678
13b2o10b3o$2b2ob4ob2ob3o9b2obo$b2obo2bo2b2ob4o9b3o$4o3bo2bob4o6b3o$b2o
bo2bo4bo3bo5b2o2b2o$o2bo7bobo9bo$14bobo4bo$15bo4b3o$15bo3bobobo$16b2o
2b4o$17bo3b2o$14b2obob8o$14b3o3b3o2b2o$16b2ob2obobo$17b8o$16b3o2bo$18b
5o2bo$17bob2o3b2obo$18b4obob3obo$18bo2b5ob3obo$21b7ob3obo$22b8ob3obo$
21b11ob3obo$22b12ob3obo$21b15ob3obo$22b16ob3obo$21b19ob3obo$22b20ob3ob
o$21b23ob3obo$22b24ob3obo$21b27ob3obo$22b28ob3obo$21b31ob3obo$22b32ob
3obo$21b35ob3obo$22b36ob3obo$21b39ob3obo$22b40ob3obo$21b43ob3obo$22b
44ob3obo$21b47ob3obo$22b48ob3obo$21b51ob3obo$22b52ob3obo$21b55ob3obo$
22b56ob3obo$21b59ob3obo$22b60ob3obo$21b63ob3obo$22b64ob3obo$21b67ob3ob
o$22b68ob3obo$21b71ob3obo$22b27o2b43ob3obo$21b27o4b44ob3obo$22b25o6b
45ob3obo$21b27o5b4o4b39ob3obo$22b24o7bo2bo3bob40ob3obo$21b18ob8o8bo5b
42ob3obo$22b16o3b6ob2ob2obo8b43ob3obo$21b17o4b5ob2ob3o2bo2bo2b46ob3obo
$22b14o2bo2b6ob3o2b2o3b3ob48ob3obo$21b14o2bob2ob4o5b3o3b2o3b50ob3obo$
22b12ob12o2b2obobo8b51ob3obo$21b7o2b4o2b10ob4ob3o3bobob54ob3obo$22b5o
3bo2bobo6bo3bob7obo4b57ob3obo$21b5o4bo9b3o3bob10obobob57ob3obo$22b5o4b
obobo7b4ob74ob3obo$21b5ob3ob2obo2b3o4bo4b75ob3obo9bo$22b7ob2o3bo3b5o3b
79ob3obo7b2o$21b8ob3o2bob5o2bo2bob79ob3obobob2ob2o$22b9ob12ob85ob3o2bo
bobobo$21b9o2bo3bo2b5ob3ob83ob6o3b2ob2o$22b9ob3obo2b4obobobo2b83o3bo3b
ob2ob2o$21b15obobo3bo2bo3bob84o2b2obo2b5o$22b13o2b2o2bo3b2o5b85ob3o3bo
2b2o$21b14o5bo2bo3bobob83obobobo4b2obo$22b14o3bo4b2obo3b83o2bo3bobo3bo
bo$21b13o4b2ob2o2bo3b85obo3bo3bo2bob2o$22b20o3b4o2b88ob2obo4bo$21b14o
2bo2bobo2bob2o2b82o2bo2b2o6bob2o$22b15o3b3o8b87ob2o6bobo$21b16o2bobo2b
2obo4b81obob3o5bobo2bo$22b17ob5ob88o2bo2bo4bo4bo$21b17obob2obob3ob85o
9bo$22b16obo2bobob88ob3o4bo8b4obo$21b18o3bob3ob89o5bo11b4ob2o$22b17o4b
4ob84o2b3o16bo4b4o$21b19o4bobob85o2b3ob2ob2o8bobob2o2b3o$22b17o5bob3ob
82o2b4o2b4o14bobobo$21b19o5b4ob94o6b3o5b4o$22b17o7bobob97o8b2o4b2o$21b
19o6bob3ob95ob2o7bo4b2o$22b17o8b4ob94o9bo4b2o2bo$21b19o8bobob95o6bobob
obo3b3o$22b17o9bob3ob91obo4bob2obob3o4b2o$21b19o9b4ob91o7bob2o3b2ob3o$
22b17o11bobob93o2bo2b2obo2bo2b2obo$21b19o10bob3ob94ob3obobobo2b2o$22b
17o12b4ob94o3b4ob3obobo$21b19o12bobob90ob2obob2obo3b2obo$22b6ob3ob6o
13bob3ob87o3b4obob10o$21b6o3bo3b6o13b4ob87obob14obo$22b4o4bo4b4o15bobo
b108o$21b5obobobobob5o14bob3ob103obo$22b4o2bobobo2b4o16b4ob107o$21b6o
2bobo2b6o16bobob104obo$22b4o2bo3bo2b4o17bob3ob106o$21b5o3bobo3b5o17b4o
b103obo$22b3o11b3o19bobob107o$21b5o9b5o18bob3ob102obo$23bo13bo21b4ob
106o$60bobob103obo$60bob3ob105o$61b4ob102obo$62bobob106o$62bob3ob101ob
o$63b4ob105o$64bobob102obo$64bob3ob104o$65b4ob101obo$66bobob105o$66bob
3ob100obo$67b4ob104o$68bobob101obo$68bob3ob103o$69b4ob100obo$70bobob
104o$70bob3ob99obo$71b4ob103o$72bobob100obo$72bob3ob102o$73b4ob99obo$
74bobob103o$74bob3ob98obo$75b4ob102o$76bobob99obo$76bob3ob101o$77b4ob
98obo$78bobob102o$78bob3ob97obo$79b4ob101o$80bobob98obo$80bob3ob100o$
81b4ob97obo10bo$82bobob101o6bobobo$82bob3ob96obo9b4o$83b4ob100o7b5o$
84bobob97obo5b8o$84bob3ob99o5b5o$85b4ob97o3b2o2b2obo$86bobob98o2bo2b3o
$86bob3ob95ob4o$87b4ob97ob2o$88bobob96obo$88bob3ob95o$83b2o4b4ob92o2bo
$84b2o2bobobob94obo$82b4o3b4ob93obo4b2o$83bob5ob97obobo2bobo$87b4obob
92o3b3o2b4o$88b3ob97ob2o2b5o$88bo5b5obobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobo3bobob5o$99bobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobo4b2o2b4o$192b5o$191b3obo$190b5o$192b4o$193b3obo$194b5o$
195b5o$193bob4o$193bobobo$195bo!

I'm probably not gonna chase down every possible corner combination but I will let my best guess (2, 1)c/5 search finish up before moving on.

confocaloid · Post by **confocaloid** » January 9th, 2025, 6:42 am

These spaceships "avoid" 3-by-3 regions containing at least eight alive cells:

Code: Select all

x = 88, y = 27, rule = B3678/S34678
7b2o16b3o5b3o11b2o3b2o24bobobo$7b2o16b2ob2ob2ob2o11b7o23b2obob2o$5bo4b
o13bobobo3bobobo10bob3obo22bob5obo$6b4o15bo2bo3bo2bo42b2ob2o$4b2o4b2o
11b2ob3o3b3ob2o7bobob3obobo19b3o5b3o$24b4o5b4o7b3o7b3o18b2o7b2o$2bobo
2b2o2bobo10bo4b3o4bo9b2o5b2o22bo5bo$4b2ob2ob2o11bobo4bo4bobo6b4o5b4o
16bobobo5bobobo$b3obob2obob3o9b2o4bo4b2o7b2o9b2o18bo9bo$2b5o2b5o30b2o
9b2o16bobo9bobo$3bo3b2o3bo11bo3b2ob2o3bo38b2o7b2o$27bo5bo13bo5bo22bo7b
o$5b2o2b2o13bobobo3bobobo9b4ob4o20b3o5b3o$5bob2obo16bobobobo15bobo22bo
11bo$b2o2bo4bo2b2o10bo2bo3bo2bo11b2o3b2o19b4o7b4o$3obo6bob3o11bobobobo
14b5o20bo13bo$bo12bo10b3o5b3o12bobobo$b3o8b3o31bo3bo3bo2$b3o8b3o11bo7b
o11b2o5b2o$2ob2o6b2ob2o9b4o3b4o$28bo3bo12b2o7b2o$26bob2ob2obo10bo9bo$
45bo9bo$44bo2bo5bo2bo$46bo7bo$43b2obo7bob2o!

Equivalently, these spaceships never query any of the conditions B8, S7, S8.

Question: is there a spaceship "avoiding" 3-by-3 regions containing at least seven alive cells? (a spaceship that doesn't query any of the conditions B7, B8, S6, S7, S8?)
Here are several partials found with qfind:

Code: Select all

#C ./qfind -r B3678~78/S34678~678 -v c/2o -w 13 -s even
#C ./qfind -r B3678~78/S34678~678 -v c/2o -w 13 -s odd
#C ./qfind -r B3678~78/S34678~678 -v c/3o -w 10 -s odd
#C ./qfind -r B3678~78/S34678~678 -v c/3o -w 10 -s even
#C ./qfind -r B3678~78/S34678~678 -v c/4o -w 9 -s odd
#C ./qfind -r B3678~78/S34678~678 -v c/4o -w 9 -s even
#C ./qfind -r B3678~78/S34678~678 -v c/5o -w 9 -s even
#C ./qfind -r B3678~78/S34678~678 -v c/5o -w 9 -s odd
x = 233, y = 25, rule = B3678/S34678
7bo3b2o3bo23b3ob4ob3ob4ob3o12b2o9b2o22b2o26bo30b4o23b2o4b2o21b2o3b2o$
6b3ob4ob3o22b2ob2o2b2obob2o2b2ob2o12b2o9b2o21b4o23b5o28bo2bo22b4o2b4o
20b2o3b2o$6bo3bo2bo3bo24bobo2bobobobo2bobo12bo4bo2bo2bo4bo45b3ob3o23b
2o2bo2bo2b2o$8bobo2bobo24b2obob2o7b2obob2o11b4obo3bob4o18bobo2bobo20bo
5bo22b2obob4obob2o18b2o4b2o20b4ob4o$4bobo10bobo50b2o4bobobobo4b2o17bo
4bo22b2ob2o23b2obo6bob2o18bo6bo21b2o3b2o$3b3obo8bob3o50b2o2b2o5b2o2b2o
17b2o4b2o18b2o2bobo2b2o19b2o12b2o17bob4obo23b3o$4bob3o6b3obo57bobobo
20b4o6b4o17b2obob2o22b2obob4obob2o19bo4bo$3o4b2o6b2o4b3o47b3o2bo2bo2bo
2b3o13b3o10b3o13b3o2b3o2b3o17bo2b2o8b2o2bo15bo8bo19bobo3bobo$70bobo4b
2ob2o4bobo13bo2b2ob2ob2o2bo14bobobobobobobo17b4obo6bob4o13b5o4b5o16bob
o5bobo$100bo16bo75b2o6b2o17b3obobobob3o$100b2o5bo2bo5b2o73bobo8bobo15b
o11bo$100bo16bo102bo11bo$101b2o4b4o4b2o76bo8bo$100bobo12bobo75b2o6b2o
18bo9bo$106b6o81bo8bo17b3obo3bob3o$101b2o12b2o78b2o2b2o21bob2ob2obo$
104bobo4bobo77b2o2b6o2b2o17b2obobob2o$102bobo8bobo74b2o12b2o14b2ob2o3b
2ob2o$102b2o10b2o75b2o2bob2obo2b2o16bob2o3b2obo$102bo12bo75bobo8bobo
17bob2ob2obo$101b2ob3ob2ob3ob2o77bobo2bobo$103bo2bob2obo2bo$101bo3b3o
2b3o3bo$102bob2obo2bob2obo$101bo3bo6bo3bo!

amling · Post by **amling** » January 9th, 2025, 8:09 am

confocaloid wrote: January 9th, 2025, 6:42 am Question: is there a spaceship "avoiding" 3-by-3 regions containing at least seven alive cells? (a spaceship that doesn't query any of the conditions B7, B8, S6, S7, S8?)

LLSSS recentering c/2 f2b mid_steps=44 even:

Code: Select all

rlife llsss-recentering-wao c2-f2b --rule 'B36!78/S34!678' '@zero' --left-edge even --wao-left-edge-errors --wao-left-pad 00 --wao-right-pad 00 --wao-idx ALL 44

Finds:

Code: Select all

#C [[ TRACK 0 -1/2 ]]
x = 184, y = 44, rule = B3678/S34678
58bo3b2o3bo48bo3b2o3bo$57b3ob4ob3o8b3ob4ob3o6b3ob4ob3o8b3ob4ob3o$57bo
3bo2bo3bo8b2ob2o2b2ob2o6b2ob2o2b2ob2o8bo3bo2bo3bo$59bobo2bobo12bobo2bo
bo10bobo2bobo12bobo2bobo$51bo3bobo10bob2o4bobobo4bobobob2obobobo4bobob
o4b2obo10bobo3bo$50b3ob3obo8bob3ob3o2bo8bo3b2o3bo8bo2b3ob3obo8bob3ob3o
$50bo3b2o2b2o6b2o3bo2bobob2o3b2o4bo4bo4b2o3b2obobo2bo3b2o6b2o2b2o3bo$
45b3o4bobo3b2o5bo8bo2bobo3b3o5b2o5b3o3bobo2bo8bo5b2o3bobo4b3o$45b2obob
o2b2o2b2ob2obobo8bo6bobo16bobo6bo8bobob2ob2o2b2o2bobob2o$47bo2bobo2bo
4bobo6b2obobo6b3o16b3o6bobob2o6bobo4bo2bobo2bo$43b4o3bo5b2o2bobob2obob
2o12bo16bo12b2obob2obobo2b2o5bo3b4o$42b2o3b6o2bo10bo2bob3o3b4o22b4o3b
3obo2bo10bo2b6o3b2o$42bo3bo6bobo3b2obo10bob3o2bo22bo2b3obo10bob2o3bobo
6bo3bo$44b2o2bob3obo4b4obo12bo2bo22bo2bo12bob4o4bob3obo2b2o$32b3o2b4ob
o2bo4b4o3b2obo2bo9bo6b2o20b2o6bo9bo2bob2o3b4o4bo2bob4o2b3o$32b2obobobo
4b3o2bo3bobob2o14bobo32bobo14b2obobo3bo2b3o4bobobob2o$34bo3bobo2b3obo
2bo2b3o4b2o60b2o4b3o2bo2bob3o2bobo3bo$30b4ob2obobobo3b3o2b3o2bo3bo2b4o
b3o42b3ob4o2bo3bo2b3o2b3o3bobobob2ob4o$29b2o3bo2b2obo2b2obo4bo2bo7b2o
2b2ob2o42b2ob2o2b2o7bo2bo4bob2o2bob2o2bo3b2o$29bo2bo3bo7bobo2b2o2bo9bo
2bobo46bobo2bo9bo2b2o2bobo7bo3bo2bo$24b3o7bo3bo2b2ob2o5bobo4bo3b3o4b4o
38b4o4b3o3bo4bobo5b2ob2o2bo3bo7b3o$24b2obobo5bobobobo2bobobo2b3obob3o
7b2o3b2o36b2o3b2o7b3obob3o2bobobo2bobobobo5bobob2o$26bo2bo5b3obo3bo3bo
5b3o3bo3bobobobo3bo36bo3bobobobo3bo3b3o5bo3bo3bob3o5bo2bo$22b4ob2o2bo
5b2ob3o2b3o7b2ob3o2bo6b2o40b2o6bo2b3ob2o7b3o2b3ob2o5bo2b2ob4o$21b2o3bo
3bob3o2bobob2o16bo7bobob2o38b2obobo7bo16b2obobo2b3obo3bo3b2o$21bo2bo3b
2o3bo2bo4bo2b4o6b3ob2o7bo48bo7b2ob3o6b4o2bo4bo2bo3b2o3bo2bo$16b3o7bo4b
ob2o7bob2o6b2o2bo70bo2b2o6b2obo7b2obo4bo7b3o$16b2obobo5bob2o5bo6bobo6b
2o3bo68bo3b2o6bobo6bo5b2obo5bobob2o$18bo2bo4b2o3b2o3bo7b2o4b2obobobo
68bobobob2o4b2o7bo3b2o3b2o4bo2bo$14b3o3bo2bobo3b2o3bo8b2o4b2obo78bob2o
4b2o8bo3b2o3bobo2bo3b3o$13b2o3bobo2bo6bo18bo84bo18bo6bo2bobo3b2o$6b3ob
3o12b3o2bo122bo2b3o12b3ob3o$6b2ob2o3bo12bobo9b2o6bobo84bobo6b2o9bobo
12bo3b2ob2o$2bo5bobob4o11bo2bobob4ob2ob4obo88bob4ob2ob4obobo2bo11b4obo
bo5bo$b3obobo2b2ob2obob2o6bobo3bo2bo3bobo2bo2bo88bo2bo2bobo3bo2bo3bobo
6b2obob2ob2o2bobob3o$bo3bo4b2obo4b2ob4obobobo3bo3bo5bo2bo88bo2bo5bo3bo
3bobobob4ob2o4bob2o4bo3bo$3ob2o3bo7bobo2b2o2bo17bo2bo88bo2bo17bo2b2o2b
obo7bo3b2ob3o$bo4bobobo2b3obo5bo136bo5bob3o2bobobo4bo$b2ob2o2bo2b2o2bo
b3ob4o134b4ob3obo2b2o2bo2b2ob2o$4bob2o6bobob2obobo136bobob2obobo6b2obo
$8bobo2b2o4bo4bo134bo4bo4b2o2bobo$4bo8b4obo146bob4o8bo$4bobo9bo150bo9b
obo$4bo10b2o150b2o10bo!

oryon_black · Post by **oryon_black** » January 20th, 2025, 8:23 am

I think I found a new p2 oscillator, but I'm not sure.

Code: Select all

x = 14, y = 14, rule = B3678/S34678
2$2b3obob2o$2b7obo$3b7o$3b7o$4b7o$3b7o$3b7o$2b7obo$2b3obob2o!

User:HotdogPi/My discoveries · Post by **hotdogPi** » January 20th, 2025, 8:32 am

It's been found by automated search (https://catagolue.hatsya.com/object/xp2 ... 3678s34678), but given that millions of p2s have been found in this rule, that doesn't necessarily mean anyone has paid attention to it. That said, it's essentially four well known p2s connected by a "blob" of on cells.

confocaloid · Post by **confocaloid** » January 20th, 2025, 8:40 am

Despite being a non-trivial oscillator and a single strict object, this oscillator contains four instances of non-interacting p2 rotors, each of which can be completed into a smaller p2 oscillator:

Code: Select all

x = 13, y = 5, rule = B3678/S34678
3bo7bo$2bobo4b2obo$7o2b4o$7o3b2o$2bobo5b2o!
#C [[ GRID STARTFROM 60 ]]

Here all the rotors are very simple, and it's safe to assume they are all known given that Day & Night is among earliest explored CA other than Conway's Life. (See also https://catagolue.hatsya.com/census/b3678s34678/C1/xp2 for the most commonly occurring p2 oscillators.)

oryon_black wrote: January 20th, 2025, 8:23 am I think I found a new p2 oscillator, but I'm not sure.
Code: Select all
x = 14, y = 14, rule = B3678/S34678
2$2b3obob2o$2b7obo$3b7o$3b7o$4b7o$3b7o$3b7o$2b7obo$2b3obob2o!

ConwayLife.com

Day & Night (B3678/S34678)

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