Miscellaneous Discoveries in Other Cellular Automata

[PK22]

Very large diagonal puffers, based on pi-heptominoes:

Code: Select all

x = 16, y = 16, rule = B3aijnq4c6i/S234e5n
b3o3bob2o$3b2o8bo$bobo2b2ob3o2b2o$2o3b2o2b2obo$o4b2ob4o$2bob7o2b2o$bo
2bo2bob3ob2o$5ob7ob2o$o6bob2o2b2o$bob5ob2ob4o$b2o3bo2bob2o2bo$ob2obo3b
4obo$b2o2b6o2b2o$o3bobob2obo2b2o$2bo3b7o2bo$2b2o2b2ob2o2bo!

Most of them only leave behind still lives and oscillators, despite the glider and xWSSes working.
Quadratic growth (for some reason, this gets recognised as ZZ_EXPLOSIVE, and the only ZZ_QUADRATIC is actually linear):

Code: Select all

x = 16, y = 16, rule = B3aijnq4c6i/S234e5n
bo2b2obobobob2o$6bob2o2bo$5ob2o5bo$2obo5b2o2b3o$2b2o5b2o4bo$5o5b2o2b2o
$2obob2o2bo4bo$2ob3obo4bo$bobobobobo4bo$4obobo3bo2b2o$b3ob2o2bobobo$2b
o2b5ob2o2bo$2b4o2b2ob2o2bo$2obo2b6o3bo$2bob2o3b6o$3ob2obo2b3o!

[yyh_baboon]

(5,3)c/74:(the rule explodes)

Code: Select all

x=1,y=1,rule=B37e/S2-c34r
o$3o$obo!

in the same rule a c/3o:

Code: Select all

 x=1,y=1,rule=B37e/S2-c34r
b3o$b3o2$2o$2obo!

still in the same rule a P34:

Code: Select all

x=1,y=1,rule=B37e/S2-c34r
o$2b2o$3b2o$5bo$4b2o3$3o$2bo$3o!

in another rule:(34c/666o puffer)

Code: Select all

x=1,y=1,rule=b34e7c/s23-n4r
3o$o2bo$ob2o!

[WhiteHawk]

I will use this post to keep track of any knightship partials I find, since I keep having to close down ikpx2:

Code: Select all

The partial collapses and gives a Beehive With Bend Tail/AKA Beehive With Hooked Tail if B8 is added

Code: Select all

x = 50, y = 100, rule = B38/S23-a5
4bo$2b3o$2bo$bo2bo$bo2bo$2obo2bo$2o2b3o$2ob2obo$b3obo$bo$2bobo$4bo2bo
$3bo3bo$4b2o2$4bobo$4b3o$6bo2b2ob2o$4b2obo5bo$4b2ob2o2bo$7bob4o$9bobo
bo$7bo3b4o$7bo4bobo$8b3o3bo$8bo2b2o$13b2o$11bobo$11bob3obo$12b3obobo$
13b2obo$14b2o$14b2obo$16bo$16bo$16bo2$17bo$17b2o$18b4o$22b2o$22b2o$21b
3o$22bob2o$24b2o$21bobo$20b2o3bobo$23bo2b2o$23b2o$26bo$25b4o$24bo3b2o
$24bobobobo$26b3obo$27b3o2bo$33bo$29b3o2bo$31bobobo$30bobobo$30bo3b3o
$31b2o$31b2obo$33bo2b2o$33bobo2bo$33bo2bobo$32bo2b2o$32b2o$32b3obobo$
39b2o$33b2o4b2o$33b3obob2o$36b2ob2o$38b2o$36b2obo2$36b2obo$35bo2bo$35b
o$36b2o$36bo$34bo2bo$36b2o$33b6o$33bo5bo$34b2ob2obo$34b2o4bo$37b2o3bo
$37b2o$39b2o2bo$41b2o$42bo2b2o$39b3o3bo$39bo5bo$40b6o$41bo4b2o$43bob3o
$43bo3b2o$41bo5bo$43b4ob2o$42bo2bobo!

[M. I. Wright]

5-cell predecessor of cool diagonal puffer:

Code: Select all

x = 3, y = 23, rule = B2-ak3ai/S1c2-ai3-ainq45e
bo$o$bo20$obo!

This is from Discord about a month ago. rabbit found a p914:

Code: Select all

x = 14, y = 9, rule = B2-ak3ai/S1c2-ai3-ainq45e
4bo$7bobo$6bob3o$3bobo2bobo$b2obob2obob2o$bobobo2bobobo$obobo4bobobo$
3b2o4b2o$2bo8bo!

p1028 in a similar rule (S8 not needed):

Code: Select all

x = 27, y = 18, rule = B2-ak3ai/S1c2cek3cejky45ek8
15bo$10bobobo$10b2obo$9bo2bobo$8bobob2o2bobo$4b2obo3bo3bobobo$2b2obo2b
o2bobo2bobo$4bob2ob2obo2bo3bo$3bo2bobobobo2bo2bo2bobo$b2ob2obobobob2ob
2ob2obob2o$bobobobo2bo2bobobobobobobo$obobobob2ob2obobobobobobobo$bobo
bobo2bo2bobobobobobobo$b2ob2obobobob2ob2ob2obob2o$3bo2bobobobo2bo2bo2b
obo$6b2ob2o4b3obo2b2o$8bo8b2ob2o$19bo!

This one was also from Discord. Nikro found some other patterns:

Code: Select all

#C p536 puffer
x = 27, y = 40, rule = B2-ak3ai/S1c2cek3cejky45ek8
6$17b2o$16bo2bo2$16bo2bo2$16bo2bo$16b4o2$15b3o$14bo2bo$14b2o$15bo$12b
obo$13b2o$16bo$14bobo4bo$14bobo2b2o$12b2obobo3bo$11bo2bo5bo$16b3o$12b
2o4b2o$10bobo5bo$11bobob2o$12bo$11bobo$9bo2bo2bo$11bobo$12bo$11bobo$10b
obobo!

Code: Select all

#C p484 osc
x = 25, y = 14, rule = B2-ak3ai/S1c2cek3cejky45ek8
$11bo2bo2bo$2b3ob2ob2ob2ob2ob2o$2bobo2bobobobobobobo$2b2ob2obobobobob
obob2o$2bobobo2bo3bobobobobobo$2b2ob2obob2ob3obo2bobo$2bobo2bobobo4bo
bo2b2o$2b3ob2ob2ob2obobob2o2bo$11bobo2bobo$11b2ob2ob2o$13bo2bo!

Code: Select all

#C p178 gun
x = 47, y = 68, rule = B2-ak3ai/S1c2cek3cejky45ek8
9$31bo$29b2ob2o$29bobobo$28bobobobobo$29bobobobo$29b2ob2o2b2o$31bo2b2o
$30bob2obo$31bo2bob2o$31bobobobo$30bobobobobo$31bobobobo$31bo2b2obo$29b
2ob2o2bobo$29bobobobobo$26bobobobobob2o$26bo2bobobobo2bo$26bo2b2ob2o2b
o$25bo2bo2bo2b3o$20bo6bob2ob2o2bo$13bo4b2ob2ob2obobobobo3b2o$12bob2o2b
obobobobobobobobo2b2o$13bo2b2obobobobobobobobobo3bo$12bob2o2bo2b2obob
obobobobo$20bo2bobobobobobo$23b2ob2ob2ob2o$25bo2bo2bo20$30bo2bo$28bo2b
2o2bo$29b2o2b2o$29bob2obo$28bobo2bobo$28bobo2bobo$29bob2obo$29b2o2b2o
$31b2o!

A high-period gun also appears naturally.

EDIT: low period* -- I meant the following p34 gun, but I believe that when I called it (well, meant to call it) low-period I was confusing it with the first rule's p11, which CARuler shared here.

Code: Select all

x = 27, y = 15, rule = B2-ak3ai/S1c2cek3cejky45ek8
12b4o$12bo2bo2$9bo8bo$3bo8b4o7bo$b2ob2o4bobo2bobo3b2ob2o$bobobo2b2obob
2obob2obobobo$obobob2o2bobo2bobo2bobobobo$bobobo2b2obob2obob2obobobo$b
2ob2o4bobo2bobo3b2ob2o$3bo8b4o7bo$9bo8bo2$12bo2bo$12b4o!

[yyh_baboon]

(5,3)c/74:(the rule explodes)

Code: Select all

x=1,y=1,rule=B37e/S2-c34r
o$3o$obo!

in the same rule a c/3o:

Code: Select all

 x=1,y=1,rule=B37e/S2-c34r
b3o$b3o2$2o$2obo!

still in the same rule a P34:

Code: Select all

x=1,y=1,rule=B37e/S2-c34r
o$2b2o$3b2o$5bo$4b2o3$3o$2bo$3o!

in another rule:(34c/666o puffer)

Code: Select all

x=1,y=1,rule=b34e7c/s23-n4r
3o$o2bo$ob2o!

eater for the oblique ship:

Code: Select all

 x = 15, y = 17, rule = B37e/S2-c34r
o$3o$obo8$8b2obo2bo$8b2ob4o2$8b2ob2o$9bob2o$9bo$8b2o!

EDIT:rule with small ships of 4 different speeds(2c/4o,2c/28o,4c/30o,10c/34o)

Code: Select all

 x = 40, y = 5, rule = B3-e4e6k7c/S23-cn4ert7e
22bo$11b2o9b2o$b3o7bobo7bo13b3o$bo2bo6bobo7bo12b2ob2o$o2b2o7bo8bo11b2o
3b2o!

[M. I. Wright]

Code: Select all

x = 76, y = 16, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
60bo4bobo2bo2b3o$60bo2bob5obobo$61b2o3bobo5bo$60bo3bob2o4b2obo$41b2o
18bo4b2o2b3obo$5bo34bo2bo20b2obobobob3o$2bob3o14bo6b3o2b3o3bo2bobo16bo
2bobo3bob2o$b5o14bobo6bo4bo5bobo2bo14bo3bo2b2o3b3o$2bobo14bo3bo17bob3o
15bobobo2bo5b2o$b3o15bobobo5bo4bo8bo16bob3obo2b3o2b2o$3o16b2ob2o10bo7b
obo15bo2b2o2b2o2b4o$bo32b2o5bobo17b3obo3bobo3bo$34b2o6bo17bobobobob3ob
4o$60b2obob3ob4obo$60bobo2b3o2b3obo$60bob2o4b2o2bobo!

edit: p222 gun found using apgsearch:

Code: Select all

x = 46, y = 31, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
16bo12bo$15bobo10bobo$15bo2bo8bo2bo$16b2o10b2o2$b2o$o2bo$bobo$2bo4$25b
o$22bo2bo$21b2o2bo$20b2o2b2o$20bo2b2o$20bo2bo$20bo4$2bo40bo$bobo38bobo
$o2bo38bo2bo$b2o40b2o2$16b2o10b2o$15bo2bo8bo2bo$15bobo10bobo$16bo12bo!

A month ago on Discord, LuveelVoom found the following patterns in this rule.

p228 gun:

Code: Select all

x = 39, y = 49, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
7$14b2o$13bo2bo$14b2o3$4bo20bo$3bobo18bobo$2bo3bo3b3o10bo3bo$2bo3bo2b
o3bo9bo3bo$3bobo3b5o10bobo$4bo9bo10bo$15bo$15bo$11b2ob2o$12b3o$13bo19$
9bo10bo$8bobo8bobo$8b2o10b2o!

p68 B hassler:

Code: Select all

x = 21, y = 21, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
2$2b2o13bo$bo2bo11bobo$2b2o12bobo$12b2o3bo$12bobo$12bobo$12b3o8$2bo$b
obo12b2o$bobo11bo2bo$2bo13b2o!

Strange conduit/track that I liked the name "slaLoM" for:

Code: Select all

x = 30, y = 39, rule = B2n3aciqr4aer5iq6cin8/S2-i3-a4ikqyz5eqr6cen7e
7$5bo$4bobo$4bobo$5bo19bo$15b2o7bobo$15bobo6bobo$5bo9bobo7bo$4bobo9b2o
$4bobo$5bo19bo$24bobo$24bobo$5bo19bo$4bobo$4bobo$5bo19bo$24bobo$24bob
o$5bo19bo$4bobo$4bobo$5bo19bo$24bobo$24bobo$5bo19bo$4bobo$4bobo$5bo19b
o$24bobo$24bobo$25bo!

-----

Added 6/22: natural p20 in a -B5j variant of 5W:

Code: Select all

x = 15, y = 26, rule = B3air4aceirw5-j67/S2-a3-aejr4cknqy5ejky8
10bo$11bo$12bo2$8b3o$7bo3bo$7bobobo$7bo3bo$8b3o3$7bo$6bobo$5bo3bo$4bo
5bo$3bobobobobo$2bo3b3o3bo$bo4bobo4bo$o6bo6bo$bo11bo$2bo9bo$3bo7bo$4bo
5bo$5bo3bo$6bobo$7bo!

[CARuler]

low-period gun (i think)

Code: Select all

x = 70, y = 26, rule = B2-ak3ai/S1c2-ai3-ainq45e
3$8bo$6b2obo2bo$6bobob2ob2o$4b2o2bobobobobo$6b2obobobobobo$5bo4bo3bo9b
o10bo10bo10bo$5bo2b2o2bo2bo2b3o3b3o2b3o3b3o2b3o3b3o2b3o3b3o2b3o$4bob2o
2b2ob2obo3b2o4bo4b2o4bo4b2o4bo4b2o4bo4b2o$4bobobobobobobo3b2o4bo4b2o4b
o4b2o4bo4b2o4bo4b2o$3bobobobobobobo2b3o3b3o2b3o3b3o2b3o3b3o2b3o3b3o2b
3o$2bobobobobobobo9bo10bo10bo10bo$3bobobobobobobobo$3b2obobobobobobo$
6b2o2b2ob2o$8b2o2bo!

[Supersuthiastic]

not strong mod4rep:

Code: Select all

x = 1, y = 1, rule = R4,C0,S12-13,48,55,72-73,175,B4,6-7,12,14,18,22,32,36,44,48,50,96,100,110,112,124,126,133-134,145,149,177,199-200,223-224,NW0000000000000000000000000000000000000000000000000000000000000000000000007F4020100008040201000000000000000000000000000000000000000000000000000000000000000000000000
o!

[Sylvani]

X⁹⁹WSS (64c/128)

Code: Select all

x = 106, y = 22, rule = B3-ceky4an5ir6i/S2-ac3-cky4in
32bo3bo4bo6bo3bo3bobo3bo3bo3bobo$39bo3bo6bo13bo$34bo13bo3bo2bo3bo2bo3b
o2bo3bo$39bo3bo13bo13bo$34bo13bo3bo2bo3bo2bo3bo2bo3bo$39bo3bo$34bo6bo
6bo3bo2bo3bo2bo3bo2bo3bo12$103b2o$103ob2o$105o$b103o!

[Resu]

Superstring Puffer?

Code: Select all

x = 24, y = 46, rule = B3/S23-a5:T24,0
24o$24o$3o3b3o3b3o3b3o$4bo5bo5bo5bo8$bo5bo5bo5bo$bo5bo5bo5bo2$3o3b3o3b
3o3b3o$obobobobobobobobobobobo$obo3bobo3bobo3bobo$obobobobobobobobobo
bobo$3o3b3o3b3o3b3o2$24o2$4ob5ob5ob5obo$3b3o3b3o3b3o3b3o$3o3b3o3b3o3b
3o$3bobo3bobo3bobo3bobo$obobobobobobobobobobobo2$ob2ob2ob2ob2ob2ob2ob
2obo$24o$bo5bo5bo5bo$3b3o3b3o3b3o3b3o$3o3b3o3b3o3b3o$3o3b3o3b3o3b3o3$
24o$24o4$4bo5bo5bo5bo$4bo5bo5bo5bo$bo5bo5bo5bo$24o$24o!

[hotcrystal0]

P30 and 4c/21o:

Code: Select all

x = 12, y = 21, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
6b2o$5bob2o$6b2o14$b3o$o3bo3bob2o$o3b2ob2o2bo$o3bo3bob2o$b3o!

[Resu]

P30 and 4c/21o:

Code: Select all

x = 12, y = 21, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
6b2o$5bob2o$6b2o14$b3o$o3bo3bob2o$o3b2ob2o2bo$o3bo3bob2o$b3o!

Cool reaction of 2 4c/21o spaceships.

Code: Select all

x = 44, y = 5, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
b3o36b3o$o3bo3bob2o20b2obo3bo3bo$o3b2ob2o2bo20bo2b2ob2o3bo$o3bo3bob2o
20b2obo3bo3bo$b3o36b3o!

Code: Select all

x = 45, y = 5, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
b3o37b3o$o3bo3bob2o21b2obo3bo3bo$o3b2ob2o2bo21bo2b2ob2o3bo$o3bo3bob2o
21b2obo3bo3bo$b3o37b3o!

C/4 spaceship reflection reaction:

Code: Select all

x = 45, y = 3, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
4bobo31bobo$2ob4o31b4ob2o$4bobo31bobo!

Osc:

Code: Select all

x = 45, y = 4, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
38bobo$4bobo31b4ob2o$2ob4o31bobo$4bobo!

Code: Select all

x = 45, y = 5, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
38bobo$38b4ob2o$4bobo31bobo$2ob4o$4bobo!

Code: Select all

x = 45, y = 6, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
41b3o$b3o29b2obo3bo3bo$o3bo3bob2o21bo2b2ob2o3bo$o3b2ob2o2bo21b2obo3bo
3bo$o3bo3bob2o29b3o$b3o!

Code: Select all

x = 45, y = 7, rule = B3aeijy4et5c6-e/S2-i3-ckqr5ei6c
41b3o$33b2obo3bo3bo$b3o29bo2b2ob2o3bo$o3bo3bob2o21b2obo3bo3bo$o3b2ob2o
2bo29b3o$o3bo3bob2o$b3o!

[pifricted]

c/4k glider:

Code: Select all

x = 36, y = 7, rule = B2a3ai/S13jr4k|B3ar5q/S2ak3ijn4ry
3o16b2o13bo$obo15bobo13b2o$obo17bo12bobo$17bo$18bo$18b2o$17bobo!

[Tawal]

Does it known that Langton's Ant can rewind ?

I discover it by adding a "border rule" that inverts the change and turn actions.
As soon as the Ant reaches a border, the Ant rewinds its path (i.e., delete/restore initial universe).
It works whatever is the initial universe (respecting the 2-states).

There is a video I've made in attachments that shows this effect (empty universe => natural chaos+highway).

Edit:
Another video with a random universe in attachments.
(edit2: in this video, I kept the centre area clean, so it's a highway that hurts the random area)

[pifricted]

Miscellaneous collection:

Code: Select all

x = 276, y = 64, rule = B2ace3ek/S2eik3ry
180bobobobo2$180bobobobo2$180bobobobo$262bo9bo$155bo24bobobobo76bo9bo
$154bo75bo7bobobobobobobobo11bo9bo$180bobobobo43bobo32bo9bo$209bobobo
bobobobobo42bo$174bo$158bo13bo$137bobobobobobobobo6bo13bo$160bo$152bo
36bo$177bobo3b2o3bo$152bo$131bo22bobo26bo$132bo19bo26bobo$183bo$147bo
3b2o3bobo$146bo36bo$175bo$163bo13bo6bobobobobobobobo$163bo13bo$161bo2$
149bobobobo$181bo27bobobobobobobobo$2o5b2o12b2o126bobobobo24bo$bob2o10b
2o$6bo9bob2o24b2o12b2o6b2o81bobobobo$2b2o43b2o3bo9b2o8b2o10b2o$17b4o36b
o10bo6b2o15b2o4b2o6b2o4b2o35bobobobo$20b2o22bo2bo23bo3bo8b2ob2o4bob2o
bo14bob2o$21b2o21bobo13bo4bo39bo9bo33bobobobo68b2o$obo17bo40bo2bo24bo
36b2o$18bo68bo41b2o93bo$40bo$17b2o21bobo$2b2o80bo2bo$124b9o$36bo$36bo
bo85bo7bo92bobobobobobobobo$obo122bo5bo$18bo$32bo$17b2o13bobo3$28bo$28b
obo2$18bo$24bo23b3o2bo$17b2o5bobo$47bob2o2b2o$46b2o$20bo$17bo2bobo4$18b
o!

[mmmmmmmmm]

b2-as014 is pretty interesting. It has natural a c/2 spaceship, and a natural c/2 dot puffer.

Code: Select all

x = 5, y = 7, rule = B2-a/S014
bobo$bobo$2bo4$o3bo!
[[ GPS 20 ]]

[LuveelVoom]

Very interesting rake:

Code: Select all

x = 6, y = 13, rule = B3ai5-i78/S2i34-r58
3$2b2o$2b2o4$b4o$2b2o!

Anyone up for corderizing?

[ThePlayzr]

It turns out that any even period can be constructed in any rule supporting Margolus oscillators:
Is this fact already known?

Are you sure this isn't just for b36s125? For example, try and find a p18 for b3s23-a5.

[PK22]

It turns out that any even period can be constructed in any rule supporting Margolus oscillators:
Is this fact already known?

Are you sure this isn't just for b36s125? For example, try and find a p18 for b3s23-a5.

Easy. I fixed my script's error - if you look at the post with the algorithm I used, it talks about how you might need to remove two Margolus cells and try again, which is why it failed to produce a p18 originally.

Code: Select all

x = 124, y = 122, rule = B3/S23-a5
60b4o$60b4o$58b2o4b2o$58b2o4b2o$58b2o4b2o$58b2o4b2o$58b2o4b2o$58b2o4b
2o$52b6o2b4o2b6o$52b6o2b4o2b6o$52b6o2b4o2b6o$52b6o2b4o2b6o$52b6o2b4o2b
6o$52b6o2b4o2b6o$46b6o6b2o4b2o6b6o$46b6o6b2o4b2o6b6o$44b2o6b6o2b4o2b6o
6b2o$44b2o6b6o2b4o2b6o6b2o$42b2o2b6o6b2o4b2o6b6o2b2o$42b2o2b6o6b2o4b2o
6b6o2b2o$40b2o2b2o6b6o2b4o2b6o6b2o2b2o$40b2o2b2o6b6o2b4o2b6o6b2o2b2o$
38b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o$38b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o$38b
2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o$38b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o$34b4o
2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o$34b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o
$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b
6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o
2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o
$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b
6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o
2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o
$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b
6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o
2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o
$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b
6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o
2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o
$12b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o2b20o$12b20o2b4o2b2o2b2o6b
6o2b4o2b6o6b2o2b2o2b4o2b20o$12b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o
2b20o$12b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o2b20o$8b4o20b2o4b2o2b
2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o
2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$
8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b
6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o
2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o
20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8o4b20o2b4o2b2o2b2o6b6o
2b4o2b6o6b2o2b2o2b4o2b20o4b8o$8o4b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o
2b4o2b20o4b8o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o
20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b
2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o
4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o
4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b
2o6b6o2b2o2b2o4b2o20b4o$8b4o20b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o
20b4o$12b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o2b20o$12b20o2b4o2b2o2b
2o6b6o2b4o2b6o6b2o2b2o2b4o2b20o$12b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o
2b4o2b20o$12b20o2b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o2b20o$32b2o4b2o2b
2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b
2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o
6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b
2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b
2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o
6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b
2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b
2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o
6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b
2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b
2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o
6b6o2b2o2b2o4b2o$32b2o4b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o4b2o$34b4o2b2o2b
2o6b6o2b4o2b6o6b2o2b2o2b4o$34b4o2b2o2b2o6b6o2b4o2b6o6b2o2b2o2b4o$38b2o
2b2o2b6o6b2o4b2o6b6o2b2o2b2o$38b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o$38b2o2b
2o2b6o6b2o4b2o6b6o2b2o2b2o$38b2o2b2o2b6o6b2o4b2o6b6o2b2o2b2o$40b2o2b2o
6b6o2b4o2b6o6b2o2b2o$40b2o2b2o6b6o2b4o2b6o6b2o2b2o$42b2o2b6o6b2o4b2o6b
6o2b2o$42b2o2b6o6b2o4b2o6b6o2b2o$44b2o6b6o2b4o2b6o6b2o$44b2o6b6o2b4o2b
6o6b2o$46b6o6b2o4b2o6b6o$46b6o6b2o4b2o6b6o$52b6o2b4o2b6o$52b6o2b4o2b6o
$52b6o2b4o2b6o$52b6o2b4o2b6o$52b6o2b4o2b6o$52b6o2b4o2b6o$58b2o4b2o$58b
2o4b2o$58b2o4b2o$58b2o4b2o$58b2o4b2o$58b2o4b2o$60b4o$60b4o!

EDIT: For context, this was in response to a script which can find a Margolus oscillator for any even period, but due to the algorithm needing two attempts sometimes, it was not producing a p18.

[CARuler]

does this always work?

Code: Select all

x = 223, y = 1, rule = W105
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A!

[b-engine]

does this always work?

Code: Select all

x = 223, y = 1, rule = W105
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.
A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A!

Everything is a replicator in W105 or B02468/S1357 (the 2D equivalent).

[CARuler]

is there a way to prove this? is there a 3d variant?

also,
W150 also works

[b-engine]

is there a way to prove this? is there a 3d variant?

also,
W150 also works

See Fredkin.

W105 and W150 are strobing duals of each other. So do B02468/S1357 and B1357/S02468.

That's like trying to prove everything is a replicator in OCA:Replicator.

EDIT:
Loaf is a c/9 ship in this almost self-complementary rule:

Code: Select all

x = 3, y = 3, rule = B2cen3kq4-j568/S14j5-kq6aik78
obo$bo$2bo!

Puffrake of banana and pole 2:

Code: Select all

x = 5, y = 9, rule = B2cen3kq4-j568/S14j5-kq6aik78
2bo$bobo$5o$2bo2$2bo$2bo$2bo$bobo!

[eRroR_6o6]

So I remembered that I used to make rules, and it turns out that I had a very nearly exploding* rule with a natural 7-cell c/11k:

Code: Select all

x = 4, y = 5, rule = B2e34iy/S24-cent6ak
2bo$b3o2$o2bo$bo!

*Assumedly, I made it that way.

This rule also has 2 natural high-period oscillators.

Code: Select all

x = 6, y = 15, rule = B2e34iy/S24-cent6ak
b5o2$b5o7$bo$bo$bo$o$o$o!

But that's not all. The reason I'm posting here in the first place is because when I was first exploring it, more than a year ago, I apparently found an endemic p128 by putting 2 failedreps together:

Code: Select all

x = 11, y = 11, rule = B2e34iy/S24-cent6ak
4o$o2bo$o2bo$4o4$7b4o$7bo2bo$7bo2bo$7b4o!

The craziest thing is that I'm only JUST realizing that this oscillator is share-worthy.

[b-engine]

50% filled strobing patterns could exist, but often decay more than black or white patches:

Code: Select all

x = 256, y = 256, rule = B2ce3e4568/S15-e6-ce78
!
[[ RANDOMIZE RANDWIDTH 256 RANDHEIGHT 256 ]]

Regular agars such as checkerboards are much more stable, but still fizzles if finite.