Miscellaneous Discoveries in Other Cellular Automata

[pzq_alex]

Code: Select all

x = 3, y = 2, rule = B2ae3r/S1e2n
obo$2o!

[LaundryPizza03]

Code: Select all

x = 3, y = 2, rule = B2ae3r/S1e2n
obo$2o!

This can be capped using 4 copies of a highly versatile semi-eater, each of which covers both barrels in a fixed direction:

Code: Select all

x = 19, y = 19, rule = B2ae3r/S1e2n
5bo$6bo$9bo$8bo2$18bo$17bo2$15bo$16bo$7bo$7bo2bo$bo6b2o$o2$10bo$9bo$
12bo$13bo!

The two barrels in one direction are too close together to an eater or semi-eater to eliminate one moon, so the single-barreled version is highly nontrivial and requires two copies of the core.

Code: Select all

x = 29, y = 32, rule = B2ae3r/S1e2n
15bo$16bo$19bo$18bo2$28bo$27bo2$25bo$26bo$17bo$17bo2bo$11bo6b2o$5bo4bo
$6bo$9bo$8bo5$11bo$2bo9bo$3bo8bo$10b2o$bo$o4$12bo$13bo!

[Naszvadi]

...

What? One gun is enough:

Code: Select all

x = 19, y = 19, rule = B2ae3r/S1e2n
6bo$5bo$8bo$9bo$14bo$15bo$17bo$18bo$10bo$3bo7bo$2bo7b2o2$o2bo14bo$bo7b
o7bo4$13bo$12bo!

P(2**n) gun family, P32 for example:

Code: Select all

x = 104, y = 40, rule = B2ae3r/S1e2n
16bo17bo$17bo15bo$27bo$26bo$26bo$27bo$17bo15bo6bo$16bo17bo4bo3$bo4bo$o
6bo2$35bo2bo$36b2o9$34bo4bo$33bo6bo$3b2o2$o6bo$bo4bo$3b2o3$47bo9bo$48b
o7bo$10bo31bo11bo15bo15bo15bo$9bo31bo13bo15bo15bo15bo$9bo31bo13bo15bo
15bo15bo$10bo31bo11bo15bo15bo15bo$48bo7bo$47bo9bo!

Corrected P32 gun, having true period P32 now:

Code: Select all

x = 157, y = 40, rule = B2ae3r/S1e2n
17bo15bo$16bo17bo$22bo$21bo$21bo$22bo$16bo17bo4bo$17bo15bo6bo3$o6bo$bo
4bo7$35bo2bo$36b2o$3b2o$2bo2bo2$33bo6bo$34bo4bo3$bo4bo$o6bo4$48bo7bo
13bo$2bo44bo9bo13bo$3bo33bo15bo5bo31bo31bo31bo$4bo31bo15bo7bo31bo31bo
31bo$4bo31bo15bo7bo31bo31bo31bo$5bo31bo15bo5bo31bo31bo31bo$47bo9bo13bo
$48bo7bo13bo!

[APPEND#3]
P16, optimized:

Code: Select all

x = 66, y = 26, rule = B2ae3r/S1e2n
8bo7bo$7bo9bo2$8bo$8bo2$7bo9bo4bo$8bo7bo6bo$3b2o$bo4bo$o6bo2$3b2o3$16b
o2b2o2bo$17bo4bo2$o6bo7bo$bo4bo9bo$32bo15bo15bo$13bo3bo15bo15bo15bo$
13bo3bo15bo15bo15bo$32bo15bo15bo$6bo9bo$7bo7bo!

[Aleph]

Oops, accidentally made a P7 billiard table photon

Code: Select all

x = 7, y = 7, rule = B2ak3inry4cityz5e6i/S
b4o2$bob3o2$b5o2$o2bo2bo!

EDIT: And a binary counter:

Code: Select all

x = 6, y = 35, rule = B2ak3ciqr4iy/S
2ob3o2$2obobo2$o4bo2$o4bo2$3ob2o2$2bo2$obo2bo2$o4bo2$4obo2$2b3o2$2bo2b
o2$2bo2bo2$5bo2$ob2obo2$3ob2o4$obo2$bo!

EDIT 2: XOR PHOTONS!!!

Code: Select all

x = 35, y = 3, rule = B2aek3i4jt5cn6c/S3r4rt5n6c
2b32o$bo15b2o$obobobobobobobobobobobobobobobobobo!

[pzq_alex]

catalytic photons

Code: Select all

x = 15, y = 27, rule = B2ae3r/S1e2n
b2o2b2o$o6bo4$8b2o$7bo2bo4$12b2o$11bo2bo14$11b2o$10bo2bo!

[Aleph]

7c/7 engine, might be EPE-able

Code: Select all

x = 7, y = 3, rule = B2ack3ry/S
2o2b2o2$bobo2bo!

[LaundryPizza03]

There are 101 oscillators and spaceships in non-relativistic rules with shape 2o2$2bo! and period at most 6. This took less than 3 minutes, so I could go beyond to at least 8 generations.

• 1 still life
• 1 p2 oscillator
• 4 p4 oscillators
• 1 c/4d spaceship, which moves southwest
• 14 p5 oscillators
• 1 c/5o spaceship, which moves west
• 3 c/5d spacehsips, of which 2 move southwest and 1 moves northeast
• 41 p6 oscillators
• 23 c/6o spaceships
• 11 c/6d spaceships, of which 5 move southwest and 6 move northeast
• 1 (2,1)c/6 spaceship, which moves WSW

2o2$2bo!_nonrel.txt

101 distinct oscillators and spaceships

(5.63 KiB) Downloaded 54 times

This is a viable B2a photon, moving north, and there are 11 with period at most 4: 1 p2 photon, 3 p3 photons, and 7 p4 photons. Despite this small count, the search space is surprisingly complex.

2o2$2bo!_rel4.txt

11 distinct spaceships

(492 Bytes) Downloaded 61 times

[yujh]

Code: Select all

x = 35, y = 3, rule = B2aek3i4jt5cn6c/S3r4rt5n6c
2b32o$bo15b2o$obobobobobobobobobobobobobobobobobo!

These can be reduced, even in the same rule

Code: Select all

x = 33, y = 3, rule = B2aek3i4jt5cn6c/S3r4rt5n6c
32o$15b2o$obobobobobobobobobobobobobobobobo!

These might need some special modifications, but sometimes it becomes a puffer

[LaundryPizza03]

o3bo2$2bo! is too big to do efficiently at 6 generations, and my computer crashed or lost power, but here's the results to generation 5.

• 1 still life
• 1 p2 oscillator
• 2 p3 oscillators
• 5 c/3o spaceships, all of which move south
• 137 p4 oscillators
• 113 c/4o spaceships, all of which move south
• 3596 p5 oscillators
• 5425 c/5o spaceships, of which 4770 move south and 655 move north
• 4658 2c/5o spaceships, all of which move south

o3bo2$2bo!_5.txt

13938 distinct oscillators and spaceships

(823.49 KiB) Downloaded 43 times

I had to restart obobo! and 2o2$bo! as well, and switched from o3bo$2bo! to obo$bo!

[Aleph]

More photon engines:

P31:

B2ack3ry4y5r to B2ackn3iry4ny5r6i

Code: Select all

x = 5, y = 3, rule = B2ack3ry4y5r/S
3b2o2$2obo!

P63:

B2ack3r4cy5r to B2ackn3ir4cny5r6i

Code: Select all

x = 5, y = 3, rule = B2ack3r4cy5r/S
3b2o2$2obo!

EDIT: P31, B2ackn3cr4ny5r to B2ackn3cir4cny5er6i:

Code: Select all

x = 12, y = 7, rule = B2-ei3cr4ny5r/S
7b2o2$5b6o2$2o2bo6bo2$2bo2bo!

Edit 2: Oops

[LaundryPizza03]

More photon engines:

P31:

What about the ones I listed in this 5s post from 2019? See also context.

[Aleph]

What about the ones I listed in this 5s post from 2019? See also context.

Those are not stripe-restricted at all. I did find one 31c/31 spaceship, and it exists thanks to an engine whose output doesn't blow up like crazy. I was able to partially break out of the stripes with a catalytic photon, which then throws an extra photon sideways. I then bounce that photon back and forth to clean up the backrake outputs, then clean up everything else. Stripe-restriction is why this is possible in a rule, that not only has B2a, but that also has B3i.

Code: Select all

x = 70, y = 159, rule = B2ak3cir4iyz/S
23b3ob2o2$23bobob2o2$23bobob2o2$27bo2$24b2obo2$28bo2$28bo$29b3o$25bo2b
2o$31bo$25bo$26bo$28bo$26bo$28bo$20bo8bo$20bobo$28b2o15$2o25bobo2$o26b
3o8$25bo2$25b2o2$15bo$13bobo9$25bo2$25b2o4$24bo2$24b2o4$22bobo11bobob
o$22bobobo7bobobobo8$9b2o2$9bo15$68b2o2$69bo2$67bo$63bobo$63bo3bo4$25b
o2$25b2o12$25bo2$25b2o9$36bo$32bobo$32bo3bo13$16b2o2$16bo4$33b2o2$34b
o!

More engines! These are all for photon periods that are either unknown, or are periods where the smallest known photon of that period has more than 3 cells. Frontends marked with a star are those where I do not know if the P1 part can be stabilized while stripe-restricted, but where the exhaust coming off the back can still be stabilized while stripe-restricted.

P127, B2ackn3r4ny5r to B2ackn3ir4cny5er6i

Code: Select all

x = 15, y = 11, rule = B2-ei3r4ny5r/S
2o2$bob2o5b2o2$3bo4b6o2$2bobo2bo6bo2$4b4ob2o2$5b2o2bo!

P39, B2ackn3cry4nyz to B2ackn3ciry4cnyz5e6i

Code: Select all

x = 9, y = 7, rule = B2-ei3cry4nyz/S
7b2o2$5b3o2$2o2bo3bo2$3b2o!

P95, B2ackn3r4nty5r to B2ackn3ir4cnty5er6i

Code: Select all

x = 12, y = 7, rule = B2-ei3r4nty5r/S
7b2o2$5b6o2$2o2bo6bo2$5bo!

P38, B2ack3ry4ny5r to B2ackn3ry4ny5r:

Code: Select all

x = 11, y = 5, rule = B2ack3ry4ny5r/S
b2o2b2o2$o2bobo3b2o2$5b3obo!

P127, B2ack3r4cny5r to B2ackn3r4cny5r:

Code: Select all

x = 10, y = 7, rule = B2ack3r4cny5r/S
b2o2$o2bo2$2bobo3b2o2$4b3obo!

P51, B2ack3i4city6i to B2ackn3i4city6i (EDIT: *):

Code: Select all

x = 7, y = 5, rule = B2ack3eij4cijty6i/S
3b2o$5b2o$4bo$5bo$3obo!

P44, B2ack3iqr4ciny5e to B2ackn3iqr4ciny5e

Code: Select all

x = 6, y = 5, rule = B2ack3iqr4ciny5e/S
4b2o2$3obo2$3bo!

P45, B2ack3iry4ny5r to B2ackn3iry4ny5r

Code: Select all

x = 6, y = 5, rule = B2ack3iry4ny5r/S
4b2o2$3obo2$3bo!

P31, B2ack3cq4inz5e6i to B2ackn3cq4inz5e6i

Code: Select all

x = 5, y = 5, rule = B2ack3cq4inz5e6i/S
2b2o2$3obo2$4bo!

P43, B2ack3r4cny6i to B2ackn3r4cny6i

Code: Select all

x = 10, y = 9, rule = B2ack3r4cny6i/S
b2o2$o2bo2$2bobo3b2o2$4b3obo2$9bo!

I honestly feel like that these engines are less likely to be stabilized than the P31 one that I successfully stabilized yesterday. The problem is B2c.

EDIT: Here's everything else at this "width":

P54, B2ac3i4y5er to B2acn3ciy4cyz5er. This one is very promising since it's a puffer. Apparently, dropping B2k can solve B2ac-related explosions. (Edit 3: Tamed!)

Code: Select all

x = 6, y = 3, rule = B2ac3i4y5er/S
5o2$5bo!

P40, B2ack3i4iy5er to B2ackn3ciy4ciy5er. This one is like the last one but with B2k again. Apparently my heuristic was right.

Code: Select all

x = 6, y = 3, rule = B2ack3i4iy5er/S
5o2$5bo!

P60, B2ac4nty6i to B2acn3cy4cntyz6i*. Again, my heuristic works. (Edit 4: Solved!)

Code: Select all

x = 6, y = 4, rule = B2ac3a4anty6i/S4a
2b2o$5o2$5bo!

P54, B2ac3inqr4y5er to B2acn3cinqry4cy5er. Apparently, my heuristic also applies to B3n.

Code: Select all

x = 6, y = 3, rule = B2ac3inqr4y5er/S
5o2$o4bo!

P60, B2ac3nq4intyz6i to B2acn3cnqy4cintyz6i (Edit 2: *)

Code: Select all

x = 6, y = 4, rule = B2ac3anq4aintyz6i/S4a
2b2o$5o2$o4bo!

P42, B2ac3inr5er to B2acn3cinry4c5er:

Code: Select all

x = 6, y = 3, rule = B2ac3inr5er/S
5o2$3bobo!

Edit 4:

P46, B2ackn3cir4cy5r to B2ackn3cir4cy5r6i*:

Code: Select all

x = 8, y = 8, rule = B2-ei3cijr4cjy5nry/S3k4z
2o$2b3o$bo$2b2o$obob2o$b2obo2$6b2o!

P63, B2ackn3ir4cny5r to B2ackn3ir4cny5r6i*:

Code: Select all

x = 8, y = 6, rule = B2-ei3ijr4cjny5r/S
5b2o$5o$5bo$b2obo2$6b2o!

P43, B2ackn3iry4ny5r to B2ackn3iry4ny5r6i:

Code: Select all

x = 8, y = 5, rule = B2-ei3iry4ny5r/S
2o2$bob2o2$6b2o!

P63, B2ackn3ir4cny5r to B2ackn3ir4cny5r6i:

Code: Select all

x = 8, y = 5, rule = B2-ei3ir4cny5r/S
2o2$bob2o2$6b2o!

Edit 7:

P31, B2ack3r4ny5r to B2ack3ry4cny5r

Code: Select all

x = 9, y = 11, rule = B2ack3r4ny5r/S
6b2o2$5bo2bo2$4bobo2$2b3o2$4o2$5b2o!

P31, B2ack3i4ityz5e6i to B2ack3iy4cityz5e6i

Code: Select all

x = 7, y = 3, rule = B2ack3i4ityz5e6i/S
4o2$5b2o!

P62, B2ackn3ci4ityz5e6i to B2ackn3ciy4cityz5e6i

Code: Select all

x = 7, y = 3, rule = B2-ei3ci4ityz5e6i/S
4o2$5b2o!

Edit 5: 40c/48 backrake:

Code: Select all

x = 13, y = 23, rule = B2ack3ejk4ejknrwy5-iny/S2an3ceijn4enyz5aeiqr6a7
4b2ob2o$4bo3bo$bo3bobo3bo$6bo$2ob3ob3ob2o$4bobobo$o11bo$4bo3bo13$6b2o
2$5bo2bo!

Edit 6: 50c/60 frontend:

Code: Select all

x = 13, y = 20, rule = B2-in3aey4ceqrtwy5-cjq/S2ckn3jkq4-ackqt5-aijr6ak
b3obobob3o$2b3obob3o$2bo2bobo2bo2$o4bobo4bo2$obo7bobo11$7b2o2$6bo2bo!

Edit 7: 55c/66 backrake (Edit 10: I mean 60c/72, oops):

Code: Select all

x = 13, y = 19, rule = B2-in3ay4kqrwy5-iny/S2kn3-qry4-jqtwy5-cq6-ae
2bo2b3o2bo$b4o3b4o$5bobo$2b2obobob2o$ob9obo$6bo$o11bo10$7b2o2$6bo2bo!

Edit 8: 40c/48 backrake:

Code: Select all

x = 13, y = 17, rule = B2-in3a4-aiqtz5-iknr/S2an3aejy4cqrty5aijqy6cek7e8
2b4ob4o$3b2o3b2o$2b2o5b2o$4b2ob2o$obo2b3o2bobo$4bo3bo$o11bo$6bo7$7b2o
2$6bo2bo!

Edit 9:

P31, B2ackn3r4nty5r to B2ackn3iry4cnty5er6i:

Code: Select all

x = 12, y = 15, rule = B2-ei3r4nty5r/S
8b2o2$5b2obo2$6bo2$2o3bobo2$bob3o2$3bobob2o2$5b2o2bo2$9b3o!

P63, B2ack3qr4cny to B2ackn3iqr4cinyz5r6i:

Code: Select all

x = 9, y = 9, rule = B2ack3qr4cny/S
2o2$bob2o2$3bo2b2o2$2bobobo2$7b2o!

Edit 10: Weird photon bounce:

Code: Select all

x = 14, y = 18, rule = B2ack3ej4cewy5ainqr/S2-ei3cnqy4-antyz5ace6-ek7e
4bo3bo$4b2ob2o$5b3o$3bo5bo$obo7bobo2$o11bo9$11b2o2$10bo2bo!

Edit 11:

P31, B2a3qr4n5r to B2akn3cqry4cn5r

Code: Select all

x = 11, y = 11, rule = B2a3qr4n5r/S
2o2$bob2o2$3bo4b2o2$3b3o2bo2$4b5o2$9b2o!

P31, B2a3q4intz6i to B2akn3cqy4cintz6i

Code: Select all

x = 7, y = 9, rule = B2a3q4intz6i/S
3b2o2$b3o2$2bo2$5o2$5b2o!

Edit 12: Raw output:

Code: Select all

B2ackn3cy4nty5r B2ackn3cy4cnty5er6i P48 

..oo...o..
..........
......o...

B2ackn3ciq4iyz B2ackn3ciqy4ciyz5e6i P40 

..oo...o..
..........
....o.o...

B2ackn3cr4y5r B2ackn3cir4cy5er6i P42 

..oo...o..
..........
.....oo...

B2ackn3y4tyz5r B2ackn3y4ctyz5er6i P37 
B2ackn3y4ntyz5r B2ackn3y4cntyz5er6i P38 

..oo...o..
..........
..o....o..

B2ackn4nty B2ackn3c4cnty5e6i P31 

..oo...o..
..........
.....ooo..

B2ackn3qry4int B2ackn3qry4cint5e6i P39 

..oo...o..
..........
.......oo.

B2ackn3y4nt5e B2ackn3iy4intz5er6i P31 

..o.o..o..
..........
..........

B2ack3c4cn B2ack3ci4cinz5r6i P42 

..o.o..o..
..........
......o...

B2ackn3q5e B2ackn3iq4iz5er6i P39 

..o.o..o..
..........
........o.

Edit 13: There was a bug in the program causing some identical oscillations to be printed multiple times. I have removed the duplicated from the earlier edits.
Edit 14: More raw output:

Code: Select all

B2ackn3c4ny B2ackn3ci4inyz5r6i P45 

..o.o..o..
..........
.....o.oo.

B2ackn4cn5e B2ackn3i4cinz5er6i P31 

..o.o..o..
..........
......ooo.

B2ackn3r4ny5r B2ackn3r4cny5r P62 
B2ackn3iqry4y5er B2ackn3iqry4cy5er P31 

..ooo..o..
..........
..........

B2ackn3q4z B2ackn3qy4ciyz5r6i P48 
B2ackn3iq4z5r B2ackn3iqy4cyz5r P48 
B2ackn4nyz5r B2ackn4cnyz5r P43 
B2ackn3ir4nyz5er B2ackn3ir4cnyz5er P39 

..ooo..o..
..........
..o.......

B2ackn3cr4iny5er B2ackn3cr4ciny5er P42 

..ooo..o..
..........
.....o....

B2ackn3iy4yz5e6i B2ackn3iy4cyz5e6i P31 

..ooo..o..
..........
..o..o....

B2ackn3ciry4ny5e B2ackn3ciry4cny5e P42 
B2ackn3cr4ny5r B2ackn3cr4cny5r P40 
B2ackn4inty6i B2ackn4cinty6i P37 

..ooo..o..
..........
......o...

B2ackn3y4ny5r B2ackn3y4cny5r P31 

..ooo..o..
..........
.....oo...

B2ackn3cy4nyz B2ackn3cy4cnyz P44 

..ooo..o..
..........
..o..oo...

B2ackn3ir4ty5r B2ackn3ir4cty5r P39 

..ooo..o..
..........
.......o..

Edit 15: I've put all the partials on a user page. Highlights:

P41:

Code: Select all

x = 8, y = 7, rule = B2ack3r4cyz5e/S
3b2o2$2obo2b2o2$b2obobo2$7bo!

P186:

Code: Select all

x = 8, y = 11, rule = B2-ei3r4ny5r/S
4b2o2$b2obo2$2bo2$3ob2o2$b3o2bo2$7bo!

[hotcrystal0]

Code: Select all

x = 16, y = 17, rule = B2ce3aeiy4ek/S23-e4i7
6bo$6bo$5b3o4$15bo$14bo$15bo6$o8bo$bo6bo$o8bo!

[pzq_alex]

Code: Select all

x = 6, y = 5, rule = B2i3-kr6n8/S234w
bo$2bo$3o$4b2o$4b2o!

Edit

Code: Select all

x = 22, y = 13, rule = B2i3-e6i/S2-i34i
2$12bo$14bo4b2o$5b2o6b2o3bo2bo$4b3o12b2o$5bo2bo$6b3o$7bo!

[Moosey]

temporary eater siamese z in evolution of b

Code: Select all

x = 3, y = 4, rule = B3-cek78/S2-i3-eky4iqz
2bo$b2o$2o$b2o!

ship

Code: Select all

x = 5, y = 5, rule = B3-cek78/S2-i3-eky4iqz
obo$bob2o$o3bo$4bo$b3o!

infinite growth

Code: Select all

x = 17, y = 34, rule = B3-cek78/S2-i3-eky4iqz
2bo$2obo$2o2bo$obo2bo$bo4bo$2bo4bo$3bo4bo$4bo4bo$5bo4bo$6bo4bo$7bo4bo$
8bo4bobo$9bo4bobo$10bo4bo$11bobo$12bobo$13bo11$3b2o5b2o3b2o$2bob2o4b2o
3b2o$2obobo$obo$2obobo$2bob2o4b2o3b2o$3b2o5b2o3b2o!

supports ant and glider.

Component, wick destruction

Code: Select all

x = 54, y = 18, rule = B3-cek78/S2-i3-eky4iqz
2bo18bo11bo18bo$2obo16bo10b2obo16bo$2o2bo15b3o8b2o2bo15b3o$obo2bo25bob
o2bo$bo4bo25bo4bo$2bo4bo25bo4bo$3bo4bo25bo4bo$4bo4bo25bo4bo$5bo4bo25bo
4bobo$6bo4bobo23bo4bobo$7bo4bobo23bo4bo$8bo4bo25bo$9bo30bo$10bo30bo$
11bo30bo$12bo30bo$11bobo28bobo$12bo30bo!

"one-time turner"

Code: Select all

x = 49, y = 100, rule = B3-cek78/S2-i3-eky4iqz
28bo18bo$26b2obo16bo$26b2o2bo15b3o$26bobo2bo$27bo4bo$28bo4bo$29bo4bo$
30bo4bo$31bo4bobo$32bo4bobo$25bo7bo4bo$23b2obo7bo$23b2o2bo7bo$23bobo2b
o7bo$24bo4bo7bo$25bo4bo7bo$26bo4bo7bo$27bo4bo5bo$28bo4bo3bo$29bo4bobo$
22bo7bo4bo$20b2obo7bo$20b2o2bo7bo$20bobo2bo7bo$21bo4bo7bo$22bo4bo7bo$
23bo4bo7bo$24bo4bo5bo$25bo4bo3bo$26bo4bobo$19bo7bo4bo$17b2obo7bo$17b2o
2bo7bo$17bobo2bo7bo$18bo4bo7bo$19bo4bo7bo$20bo4bo7bo$21bo4bo5bo$22bo4b
o3bo$23bo4bobo$16bo7bo4bo$14b2obo7bo$14b2o2bo7bo$14bobo2bo7bo$15bo4bo
7bo$16bo4bo7bo$17bo4bo7bo$18bo4bo5bo$19bo4bo3bo$20bo4bobo$13bo7bo4bo$
11b2obo7bo$11b2o2bo7bo$11bobo2bo7bo$12bo4bo7bo$13bo4bo7bo$14bo4bo7bo$
15bo4bo5bo$16bo4bo3bo$17bo4bobo$10bo7bo4bo$8b2obo7bo$8b2o2bo7bo$8bobo
2bo7bo$9bo4bo7bo$10bo4bo7bo$11bo4bo7bo$12bo4bo5bo$13bo4bo3bo$14bo4bobo
$7bo7bo4bo$5b2obo7bo$5b2o2bo7bo$5bobo2bo7bo$6bo4bo7bo$7bo4bo7bo$8bo4bo
7bo$9bo4bo5bo$10bo4bo3bo$11bo4bobo$12bo4bo$13bo$14bo$15bo$16bo$17bo$
18bo$10b2o5bo$3bo6b2o4bo$2bobo10bo$bo3bo8bo$o3bobo6bo$bo3bo6bo$2bobo6b
o$3bo6bo$6b2obo$6bobo$4bobo$4b2o2bo$7b2o!

c/3 that doesn't look like it should exist

Code: Select all

x = 7, y = 5, rule = B3-cek78/S2-i3-eky4iqz
o5bo$3ob3o$o5bo$b5o$3bo!

supersized version of jam/mold

Code: Select all

x = 6, y = 8, rule = B3-cek78/S2-i3-eky4iqz
2b2o$bo2bo$2bo2bo$bobobo$3obo$o2bo$obo$bo!

synth (partial)

Code: Select all

x = 11, y = 19, rule = B3-cek78/S2-i3-eky4iqz
7bo$6bobo$5bo3bo$4bo5bo$5bobobo$6bobo$7bo3$8b2o$7b2o$7bo5$b2o$obo$2bo!

This is a cool rule imo-- there's some sl chemistry but it's not over-the-top and it doesn't hinder other stuff from happening

p5

Code: Select all

x = 6, y = 11, rule = B3-cek78/S2-i3-eky4iqz
b2o$2bo$bo$o$2o$2b3o$2bo$3bo$4bo$3bobo$4bo!

MTCC

Code: Select all

x = 352, y = 407, rule = B3-cek78/S2-i3-eky4iqz
278bo$277bo$277b3o6$268b3o$270bo$184bo35bo48bo$183bo35bo$183b3o33b3o2$
132bo$131bo$131b3o2$176b3o$178bo44bo$94bo82bo44b2o$93bo128bobo$93b3o$
134bo$133b2o$22bo110bobo$21bo$21b3o39bo$62bo32b3o$62b3o30bo$96bo3$22b
3o$22bo$23bo27b3o$53bo$52bo4$341bo$265bo74bo$264bo75b3o$264b3o31bo$
297bo$297b3o5$198bo$197bo103bo30b2o$197b3o58b2o40b2o31b2o$161bo97b2o
39bobo29bo$160bo97bo$160b3o4$198bo$197b2o$197bobo2$125bo37b2o$124bo38b
obo$124b3o36bo4$27bo$26bo$26b3o$320bo$63bo255bo$62bo56b2o198b3o$62b3o
55b2o$119bo3$23b2o$23bobo$23bo237bo$55b3o202bo$57bo123bo78b3o47b2o$56b
o123bo45bo84b2o$180b3o42bo84bo$225b3o5$260b2o$114bo145bobo$113bo146bo
87bo$113b3o60b2o169bo$177b2o32b2o134b3o$176bo35b2o$211bo3$65bo233bo$
64bo45bo187bo$64b3o42b2o187b3o$109bobo$331b2o$332b2o$331bo2$21bo$20bo$
20b3o$59b2o233b2o$58bobo232bobo$60bo234bo3$20bo$19b2o$19bobo$256bo$
255bo$255b3o6$212bo$120bo90bo43bo$119bo91b3o40b2o$119b3o132bobo87bo$
343bo$308bo34b3o$307bo$307b3o$122b3o43bo$122bo44bo$123bo43b3o42b2o$
212bobo$212bo$311b3o21b2o$311bo24b2o$312bo22bo4$160b2o$159bobo$161bo7$
280bo$279bo$279b3o4$99bo$98bo$58bo39b3o143bo$57bo185bo$57b3o183b3o35b
2o$281bobo$281bo2$14bo335bo$13bo227b2o106bo$13b3o44b3o88bo88bobo76bo
29b3o$60bo30b2o57bo91bo75bo$61bo30b2o56b3o165b3o$91bo3$11bo336b3o$10b
2o338bo$10bobo336bo2$148b2o$148bobo157b2o$148bo41bo116bobo$189bo119bo$
189b3o2$283bo$282bo$282b3o2$186bo$185b2o$185bobo4$276b2o$277b2o$276bo$
109bo$108bo107bo$108b3o104bo$215b3o3$340bo$339bo$339b3o$218bo$217b2o$
9bo90b2o115bobo$8bo90bobo$8b3o90bo$337b3o$339bo$338bo3$5b3o$7bo52bo$6b
o52bo257bo$59b3o254bo$316b3o4$285bo$58bo225bo$57b2o185bo39b3o$57bobo
183bo$147bo95b3o$146bo157b2o$146b3o156b2o$304bo2$243b3o$243bo$244bo29b
2o$193bo81b2o$192bo81bo$105bo45b2o39b3o$104bo46bobo$104b3o44bo5$191bo$
190b2o$106bo83bobo$105b2o$2bo53bo48bobo$bo53bo$b3o51b3o3$343bo$342bo$
229bo112b3o$228bo$6bo221b3o79bo$5b2o44b2o256bo$5bobo44b2o255b3o$51bo2$
229b3o$229bo111b2o$230bo110bobo$311bo29bo$310b2o$310bobo$265bo$264bo$
264b3o7$261b3o$263bo$130bo131bo$129bo$79bo49b3o$78bo$78b3o2$6bo$5bo$5b
3o2$78b3o44b2o$78bo46bobo65bo$79bo45bo66bo$192b3o$3o$2bo$bo6$183b2o$
182bobo46bo103bo$184bo45bo103bo$230b3o101b3o2$235bo$234b2o$234bobo41bo
$277bo$277b3o50b3o$332bo$331bo4$278bo$277b2o$277bobo$154bo$153bo$153b
3o2$307bo$306bo$306b3o2$140b3o59bo$142bo58bo$141bo59b3o3$301b3o$12bo
290bo$11bo290bo$11b3o$94bo104bo49bo$93bo104b2o48bo$47bo45b3o102bobo47b
3o$46bo205b3o$46b3o203bo$5b3o245bo$7bo$6bo2$48b3o$48bo48b2o$49bo47bobo
$97bo37$13bo89bo17bo16bo$12bo40bo48bo17bo16bo$12b3o37bo49b3o15b3o14b3o
$52b3o10$6bo107b2o15b2o$6b2o38b3o46b3o15bobo16b2o$5bobo40bo48bo17bo15b
o$47bo48bo!

Catagolue

blockpuffer, p12

Code: Select all

x = 11, y = 4, rule = B3-cek78/S2-i3-eky4iqz
2o7b2o$o2b2ob2o2bo$b3o3b3o$2bo5bo!

c/8d stretcher

Code: Select all

x = 8, y = 6, rule = B3-cek78/S2-i3-eky4iqz
3bo$2bobo$3bo2bo$2bo2bobo$b2obobo$2o3bo!

today on c/4ds that rustlifesearch found in literally a quarter second

Code: Select all

x = 26, y = 23, rule = B3-cek78/S2-i3-eky4iqz
2b2o2bo2bo$b2o2b2o2bo$o5bo2b2o$bobobo$2bo2b2o$3bo4bo$4bobob2o$5bo3bobo
$6bo4bo3b2o$7bo3bo3bobo$8bo4bo$9bob2obo$10bob2ob2o3b2o$11bobo2bo3bobo$
12bo2b2o3bobo$16bo4bob2o$16b2o2bo2bo$17b2obobo$17bo5bobo$18bobo$19bo3b
obo$22b2o$24bo!

(ok this took just under a minute)

Code: Select all

x = 27, y = 16, rule = B3-cek78/S2-i3-eky4iqz
4bo$2b2o2bo$b2o3bo$o3bobo$b2o4bo5b3o$4bob2ob3ob2o$5bo2bo$6bobo3bob3o$
7bobo5bo$8bo2bob2ob5o$10bobob2o2b3o$11bobo4bo$12bo7b3obo$13bob4o2b3obo
$14bobobo7bo$15bobobo4b2o!

Code: Select all

x = 25, y = 16, rule = B3-cek78/S2-i3-eky4iqz
12bo$4bo6bobo$2b2o2bo3b2obo$b2o3bo3bo$o3bobo$b2o4bo2bo5b2o$4bob2ob3o3b
2o$5bo2bob2o5bo$6bob2o2b2o$7bo4b3o$8bo7bo$9bo4b2obo$10bo3b5ob4o$11bobo
b3o2b5o$12bo4b2obo$17bo!

high period puffer

Code: Select all

x = 16, y = 16, rule = B3-cek78/S2-i3-eky4iqz
8bobo2bobo$ob5ob2obobobo$2b2ob2ob5o2bo$4obob2ob3o2bo$2ob2obobo3b4o$b2o
3bob2obo2b2o$b2obo2bo3bobo$5o2b5ob2o$bobobob2o2b5o$ob10o3bo$5obo3bo$b
2o3bob8o$obo2b2o5b2obo$o2b2obo2bob5o$2obo3bob4ob2o$2o6bo5bo!

from ikpx2: a tiny, entirely-spacedust c/4d

Code: Select all

x = 11, y = 11, rule = B3-cek78/S2-i3-eky4iqz
6b3o$4bobo2bo$3bobo4bo$4bobo3bo$7b2o$3b2obo2bo$bo4bobo$o2bobobo$bob2o$o$o!

internal glider

Code: Select all

x = 17, y = 17, rule = B3-cek78/S2-i3-eky4iqz
6bo$3o2bobo$o3bo3bo$2bo2bo3bo$bo2bo5bo$bo9bo$bo4b2ob2o$o4b2o$bo5bob3o
2bo$2bo9b2obo$3bobo6bo3bo$4bob3o6bo$5bobo$8bobo$7bo2bo$8bobo$9bo!

another pretty standard smallish c/4d that looks vaguely like one of the small c/4ds in life

Code: Select all

x = 11, y = 10, rule = B3-cek78/S2-i3-eky4iqz
8b2o$7bob2o$b3o2b3o$b3obobo$bo$3o4bo$3bobobo$o4bob2o$o2b3o2bo$2bo4bo!

so forth

Code: Select all

x = 17, y = 20, rule = B3-cek78/S2-i3-eky4iqz
bo$2bo$bobo$bo2bo$2bo2bo$b2o3bo$o6bo$bob2o3bo$2b2o5bo$6b2o2bo$5bobob2o2$7bo3b
o$8bo3bo$8bobobo$11b2o$12bo2b2o$15b2o$13bob2o$14bo!

anyway, moving on from semi-notable ships, here's a p18 pi (yes, it looks like phi, but triangles aren't phi ancestors) shuttle thing, featuring snakes doing what eater 1s ought

Code: Select all

x = 6, y = 30, rule = B3-cek78/S2-i3-eky4iqz
2o$o$bo$2o3$3bo$2b3o$b5o13$b5o$2b3o$3bo3$2o$bo$o$2o!

monomer

Code: Select all

x = 6, y = 19, rule = B3-cek78/S2-i3-eky4iqz
2o$o$bo$2o3$3bo$2b3o$b5o4$3bo$5bo2$2o$bo$o$2o!

p9

Code: Select all

x = 6, y = 12, rule = B3-cek78/S2-i3-eky4iqz
2o$o$bo$obo$bo2bo$3bobo$3bobo$bo2bo$obo$bo$o$2o!

I've never seen an oscillator that cared this little about whether an object was interacting this strongly with its rotor

Code: Select all

x = 32, y = 8, rule = B3-cek78/S2-i3-eky4iqz
bo5b2o19b2o$obo3bo2bo17bo2bo$bo5bo2bo17bo2bo$6bobobo16bobobo$5b3obo16b
3obo$5bo2bo17bo2bo$5bobo18bobo$6bo20bo!

and the baguette marmalade osc was already sparky and potentially useful as it was

xor p14

Code: Select all

x = 11, y = 11, rule = B3-cek78/S2-i3-eky4iqz
4b2o$3bo2bo$4bo2bo$bo3bo2bo$obo3bo2bo$o2bo3bo2bo$bo2bo3bobo$2bo2bo2b2o$3bo2b
2o$4bo2bo$5b2o!

I think this covers even periods

c/8d linestretcher (as opposed to two barges)

Code: Select all

x = 14, y = 12, rule = B3-cek78/S2-i3-eky4iqz
o$o2b2o$2o3bo$4bobo$2bo2bobo$bobo4bo$2bobo4bo$3bo3b2obo$4bob2obobo$5bo
2bo3bo$6bo6bo$12b2o!

another period: p11

Code: Select all

x = 12, y = 6, rule = B3-cek78/S2-i3-eky4iqz
2o8b2o$o2bo4bo2bo$2bobo2bobo$bo2bo2bo2bo$obobo2bobobo$bo8bo!

6G of the c/3, thanks to a 3g that appears in goldenratio's 4g census

Code: Select all

x = 146, y = 89, rule = B3-cek78/S2-i3-eky4iqz
144bo$143bo$143b3o4$113bo$112bo$112b3o3$obo$b2o$bo52$59bo$60b2o$59b2o
12$62b3o$64bo$63bo5$61b2o$62b2o$61bo!

4G baguette, constructed based on a reaction from a sample soup (there are like three because I can only access them from hauls-- they're too common to be considered interesting enough to have sample soups on their object pages)

Code: Select all

x = 24, y = 36, rule = B3-cek78/S2-i3-eky4iqz
bo$2bo$3o13$19bo$18bo$18b3o15$22b2o$5b3o13b2o$7bo15bo$6bo!

(and, an improvement by sonata)

Code: Select all

x = 22, y = 32, rule = B3-cek78/S2-i3-eky4iqz
bo$2bo$3o9$17bo$16bo$16b3o15$20b2o$3b3o13b2o$5bo15bo$4bo!

(and three 3g ones posted by goldenratio on discord, found with their 3g script it seems-- exciting!)

Code: Select all

x = 163, y = 13, rule = B3-cek78/S2-i3-eky4iqz
4bo72bo9bo64bo$2bobo70bobo7b2o63bobo7bobo$3b2o71b2o8b2o63b2o7b2o$161bo
$11bo$9b2o$10b2o3$151b2o$bo75bo74b2o$b2o74b2o72bo$obo73bobo!

ikpx2 discovered p15

Code: Select all

x = 0, y = 0, rule = B3-cek78/S2-i3-eky4iqz
3o2bo$ob3obo$b2o2bobo$3bo2bobo$2bobo4bo$3bo4bobo$4bo3bo2bo$5bobobo
2bo$6bobo2bobo$7bo4bobo$8bo6bo$9bo2bo3bo$10bo4bobo$11bob2o3bo$12bo
bo4bo$13bo6bo$14bob3o2bo$15bo2b2o2bo$16bob2obobo$17bo2b2o2bo$18bo$
19bo3bo$20bo2b2obo$21bo2bo3bo$22b3o2b2o$26bo$24bobo$25bo!

EDIT:

9c/27o

Code: Select all

x = 24, y = 11, rule = B3-cek78/S2-i3-eky4iqz
5b5o4b5o$bo4b3o6b3o4bo$3o4bo8bo4b3o$o22bo$2bo18bo4$5o14b5o$b3o16b3o$2b
o18bo!

[DaveTree339]

Are these patterns in rule B3/S134 known?

c/4 orthogonal spaceship

Code: Select all

x = 5, y = 5, rule = B3/S134
2bo$b3o2$o3bo$bobo!

A chaotic infinite growth pattern with 7 cells that fits into an 4 by 5 bounding box

Code: Select all

x = 5, y = 4, rule = B3/S134
2o2$3b2o$b3o!

[pzq_alex]

Are these patterns in rule B3/S134 known?

snip

First of all, welcome to the forums!

B3/S134 is an explosive rule, so explosions should not receive any notability (unless it's the smallest, it explodes in an interesting way, or it has some unusual properties etc.)

The c/4o should also be known (it's in gliderdb)

Also, put your patterns in code tags: just change viewer -> code, as code blocks takes up less vertical space (and is less obtrusive).

Anyway, welcome!

[goldenratio]

More synths of moving objects in Moosey's rule:

Both 3G ants that I could find:

Code: Select all

x = 87, y = 14, rule = B3-cek78/S2-i3-eky4iqz
4bo$2bobo$3b2o76bo$79bobo$80b2o2$84bobo$84b2o$6b2o77bo$6bobo67b2o$6bo
68bobo$b2o74bo$obo$2bo!

Pufferfish-esque puffer in 6G:

Code: Select all

x = 12, y = 25, rule = B3-cek78/S2-i3-eky4iqz
5bo$4bo$4b3o2$9bo$bo7bobo$2bo6b2o$3o10$3o$2bo6b2o$bo7bobo$9bo2$4b3o$4b
o$5bo!

c/2 in 12G (almost certainly suboptimal):

Code: Select all

x = 62, y = 44, rule = B3-cek78/S2-i3-eky4iqz
21bo17bo$22bo15bo$20b3o3bo11b3o$27bo$25b3o3$47bo$46bo$46b3o3$32bo$30bo
bo18b2o$31b2o17b2o$42bo9bo$42bobo$34bo7b2o$32bobo$33b2o4$41bo$40bobo
17bo$41bo17b2o$59bobo15$b2o$obo$2bo!

4G 2c/4 (bottom) based on an invalid 3G (top):

Code: Select all

x = 13, y = 51, rule = B3-cek78/S2-i3-eky4iqz
4bo$4bobo$b2ob2o$2o$2bo6$6b2o$6bobo$6bo12$6bo$5bo$5b3o7$6b3o$6bo$7bo3$
4b2o$4bobo$4bo8$10b2o$10bobo$10bo!

"activate" the c/8d stretcher on 2 barges:

Code: Select all

x = 10, y = 20, rule = B3-cek78/S2-i3-eky4iqz
2bobo$3b2o$3bo2$9bo$7b2o$2bo5b2o$obo$b2o6$7bo$6bobo$4bo2bobo$3bobo2bo$
4bobo$5bo!

These all utilized a new script that runs 3G collisions (basically an OCA-compatible version of synth-patt), which may be posted soon.

[DaveTree339]

B3/S134 is an explosive rule, so explosions should not receive any notability (unless it's the smallest, it explodes in an interesting way, or it has some unusual properties etc.)

I understand that. I couldn't find a lot of information on or patterns in B3/S134 on these forums, much less the smallest number of cells needed for an explosion in it. Based on that I thought it would be nice to post the smallest exploding pattern I found so the forums would at least have a small upper bound on the minimum number of cells needed for an exploding pattern in B3/S134. This seemed like the right thread to post it in, though maybe there's a better one I missed. Sorry if that's the case.

[Aleph]

B3/S134 is an explosive rule, so explosions should not receive any notability (unless it's the smallest, it explodes in an interesting way, or it has some unusual properties etc.)

I understand that. I couldn't find a lot of information on or patterns in B3/S134 on these forums, much less the smallest number of cells needed for an explosion in it. Based on that I thought it would be nice to post the smallest exploding pattern I found so the forums would at least have a small upper bound on the minimum number of cells needed for an exploding pattern in B3/S134. This seemed like the right thread to post it in, though maybe there's a better one I missed. Sorry if that's the case.

Minimum exploding seeds does sound interesting. This pattern doesn't explode, but it's quite active for a 4-cell pattern.

Code: Select all

x = 4, y = 2, rule = B3/S134
bobo$o2bo!

[AbhpzTa]

B3/S134 is an explosive rule, so explosions should not receive any notability (unless it's the smallest, it explodes in an interesting way, or it has some unusual properties etc.)

I understand that. I couldn't find a lot of information on or patterns in B3/S134 on these forums, much less the smallest number of cells needed for an explosion in it. Based on that I thought it would be nice to post the smallest exploding pattern I found so the forums would at least have a small upper bound on the minimum number of cells needed for an exploding pattern in B3/S134. This seemed like the right thread to post it in, though maybe there's a better one I missed. Sorry if that's the case.

Minimum exploding seeds does sound interesting. This pattern doesn't explode, but it's quite active for a 4-cell pattern.

Code: Select all

x = 4, y = 2, rule = B3/S134
bobo$o2bo!

My 4x4 search found a 6-cell 4x4 seed (note that gen 1 of this pattern fits into 4x3):

Code: Select all

x = 4, y = 4, rule = B3/S134
o2bo$b2o$o$3bo!

[ihatecorderships]

ship

Code: Select all

x = 7, y = 7, rule = B2-ik4c/S2e3a5i|B3/S23
o4b2o$4bobo$4b3o2$4b3o$4bobo$o4b2o!

[Aleph]

I decided to continue LaundryPizza03's analysis of possible 3-cell P31 photons. LaundryPizza03 already determined that there are three unique solutions for the red row, I continue by analyzing the yellow row.

Code: Select all

x = 4, y = 9, rule = B/S012345678Super
4H$3HE$2HDE$HGDE$GHDE$GHDE$2HDE$3HE$4H!

Observe that there are again, wildcard transitions that don't affect things. We can show that the only relevant transitions are the transitions fitting at least one of these nine templates.

Code: Select all

x = 13, y = 13, rule = B/S012345678Super
3H2.3H2.2HF$3H2.2HF2.H2F$2HF2.H2F2.G2F3$H2F2.G2F2.H2F$G2F2.H2F2.H2F$H
2F2.H2F2.H2F3$H2F2.H2F2.2HF$H2F2.2HF2.3H$2HF2.3H2.3H!

However:

Templates 1 and 9 are duplicates, and so are templates 2 and 8. Templates 3 and 7 are the same except for one cell, and can be merged. So now we're down to 6 templates.

Code: Select all

x = 13, y = 8, rule = B/S012345678Super
3H2.3H2.2HF$3H2.2HF2.H2F$2HF2.H2F2.3F3$H2F2.G2F2.H2F$G2F2.H2F2.H2F$H2F
2.H2F2.H2F!

Observe that anything that fits templates 1 or 2 will also fit the new template 3, so we can drop templates 1 and 2.

Code: Select all

x = 8, y = 8, rule = B/S012345678Super
2HF2.H2F$H2F2.G2F$3F2.H2F3$G2F2.H2F$H2F2.H2F$H2F2.H2F!

We then find 82 transitions that are relevant.

Code: Select all

x = 58, y = 58, rule = B/S012345678Super
3H2.G2H2.HGH$3H2.3H2.3H$3H2.3H2.3H3$3H2.3H2.3H2.3H2.2HG2.2HG$3H2.3H2.
2HG2.GHG2.G2H2.3H$2GH2.GHG2.HGH2.3H2.3H2.G2H3$3H2.2HG2.HGH2.3H2.3H2.G
2H2.2HG2.2HG2.H2G2.GHG$2HG2.3H2.GHG2.3H2.2HG2.2HG2.3H2.3H2.3H2.3H$H2G
2.GHG2.3H2.3G2.2GH2.HGH2.H2G2.2GH2.HGH2.HGH3$3G2.HGH2.H2G2.2GH2.2HG2.
2HG2.G2H2.H2G2.2HG2.2HG2.GHG2.2GH$2HG2.GHG2.3H2.2HG2.G2H2.3H2.2HG2.2H
G2.GHG2.2HG2.3H2.3H$3H2.HGH2.H2G2.HGH2.H2G2.3G2.H2G2.HGH2.2HG2.2GH2.H
2G2.H2G3$2HG2.HGH2.H2G2.GHG2.3G2.2GH2.3G2.H2G$2HG2.GHG2.2HG2.2HG2.2HG
2.2HG2.3H2.G2H$3G2.H2G2.H2G2.H2G2.HGH2.H2G2.H2G2.H2G3$3G2.H2G$2HG2.GH
G$H2G2.H2G3$3H2.G2H2.HGH$HGH2.HGH2.HGH$3H2.3H2.3H3$3H2.3H2.3H2.3H2.2H
G2.2HG$HGH2.HGH2.H2G2.3G2.2GH2.HGH$2GH2.GHG2.HGH2.3H2.3H2.G2H3$3H2.2H
G2.HGH2.3H2.3H2.G2H2.2HG2.2HG2.H2G2.GHG$H2G2.HGH2.3G2.HGH2.H2G2.H2G2.
HGH2.HGH2.HGH2.HGH$H2G2.GHG2.3H2.3G2.2GH2.HGH2.H2G2.2GH2.HGH2.HGH3$3G
2.HGH2.H2G2.2GH2.2HG2.2HG2.G2H2.H2G2.2HG2.2HG2.GHG2.2GH$H2G2.3G2.HGH2.
H2G2.2GH2.HGH2.H2G2.H2G2.3G2.H2G2.HGH2.HGH$3H2.HGH2.H2G2.HGH2.H2G2.3G
2.H2G2.HGH2.2HG2.2GH2.H2G2.H2G3$2HG2.HGH2.H2G2.GHG2.3G2.2GH2.3G2.H2G$
H2G2.3G2.H2G2.H2G2.H2G2.H2G2.HGH2.2GH$3G2.H2G2.H2G2.H2G2.HGH2.H2G2.H2G
2.H2G3$3G2.H2G$H2G2.3G$H2G2.H2G!

Quoting LaundryPizza03's analysis, B2ae is required and B01ce3j and S1ce2k are forbidden (these 9 transitions).

Code: Select all

x = 43, y = 3, rule = B/S012345678Super
3H2.G2H2.HGH2.3H2.3H2.3H2.G2H2.HGH2.2HG$3H2.3H2.3H2.3H2.2HG2.2HG2.HGH
2.HGH2.2GH$3H2.3H2.3H2.2GH2.HGH2.2GH2.3H2.3H2.3H!

This then drops us down to 73 transitions.
By looking at LaundryPizza03's 3 frontends, we see that B2ck4kwy5qy and S2cn are required, while B3anq4j(5k6k) are forbidden. That's another 13 transitions that we can drop.

Code: Select all

x = 63, y = 3, rule = B/S012345678Super
3H2.2HG2.3H2.2HG2.2HG2.2GH2.2HG2.2HG2.GHG2.2GH2.H2G2.3H2.2HG$3H2.G2H2.
2HG2.3H2.3H2.2HG2.G2H2.2HG2.3H2.2HG2.G2H2.HGH2.HGH$GHG2.3H2.H2G2.H2G2.
2GH2.HGH2.H2G2.2GH2.H2G2.H2G2.H2G2.GHG2.G2H!

Therefore, we now have 60 transitions.

Code: Select all

x = 58, y = 53, rule = B/S012345678Super
3H2.2HG$GHG2.3H$3H2.G2H3$2HG2.HGH2.3H2.G2H2.H2G2.GHG$3H2.GHG2.3H2.2HG
2.3H2.3H$GHG2.3H2.3G2.HGH2.HGH2.HGH3$3G2.HGH2.H2G2.2HG2.G2H2.H2G2.2HG
2.2GH$2HG2.GHG2.3H2.3H2.2HG2.2HG2.GHG2.3H$3H2.HGH2.H2G2.3G2.H2G2.HGH2.
2HG2.H2G3$2HG2.HGH2.H2G2.GHG2.3G2.3G$2HG2.GHG2.2HG2.2HG2.2HG2.3H$3G2.
H2G2.H2G2.H2G2.HGH2.H2G3$3G2.H2G$2HG2.GHG$H2G2.H2G3$3H$HGH$3H3$3H2.3H
2.3H$HGH2.H2G2.3G$2GH2.HGH2.3H3$3H2.2HG2.HGH2.3H2.3H2.G2H2.2HG2.2HG2.
H2G2.GHG$H2G2.HGH2.3G2.HGH2.H2G2.H2G2.HGH2.HGH2.HGH2.HGH$H2G2.GHG2.3H
2.3G2.2GH2.HGH2.H2G2.2GH2.HGH2.HGH3$3G2.HGH2.H2G2.2GH2.2HG2.2HG2.G2H2.
H2G2.2HG2.2HG2.GHG2.2GH$H2G2.3G2.HGH2.H2G2.2GH2.HGH2.H2G2.H2G2.3G2.H2G
2.HGH2.HGH$3H2.HGH2.H2G2.HGH2.H2G2.3G2.H2G2.HGH2.2HG2.2GH2.H2G2.H2G3$
2HG2.HGH2.H2G2.GHG2.3G2.2GH2.3G2.H2G$H2G2.3G2.H2G2.H2G2.H2G2.H2G2.HGH
2.2GH$3G2.H2G2.H2G2.H2G2.HGH2.H2G2.H2G2.H2G3$3G2.H2G$H2G2.3G$H2G2.H2G
!

However, there is a technicality that lets us drop that count further. Observe that we still have the transitions B3r4iz5r and S3cnq4n left over from LaundryPizza03's analysis. While some of the frontends require them, and some of the frontends forbid them, ALL of the frontends involve them in some way. What we can do is to use pB2acek3-ajnq4kwy-cj5qy-ek6-eikn/S02cn-k34-c5-ek6-eikn with LLS and let LLS preprocess those eight transitions.

Code: Select all

x = 18, y = 8, rule = B/S012345678Super
H2G2.H2G2.2GH2.3G$3H2.3H2.3H2.3H$HGH2.H2G2.H2G2.H2G3$2HG2.2HG2.2HG2.2H
G$HGH2.HGH2.HGH2.HGH$GHG2.H2G2.2GH2.3G!

This leaves us with 52 transitions.

Code: Select all

x = 53, y = 53, rule = B/S012345678Super
3H2.2HG$GHG2.3H$3H2.G2H3$2HG2.HGH2.3H2.G2H2.GHG$3H2.GHG2.3H2.2HG2.3H$
GHG2.3H2.3G2.HGH2.HGH3$3G2.HGH2.2HG2.G2H2.H2G2.2HG$2HG2.GHG2.3H2.2HG2.
2HG2.GHG$3H2.HGH2.3G2.H2G2.HGH2.2HG3$2HG2.HGH2.H2G2.GHG2.3G$2HG2.GHG2.
2HG2.2HG2.2HG$3G2.H2G2.H2G2.H2G2.HGH3$3G2.H2G$2HG2.GHG$H2G2.H2G3$3H$H
GH$3H3$3H2.3H2.3H$HGH2.H2G2.3G$2GH2.HGH2.3H3$3H2.HGH2.3H2.3H2.G2H2.H2G
2.GHG$H2G2.3G2.HGH2.H2G2.H2G2.HGH2.HGH$H2G2.3H2.3G2.2GH2.HGH2.HGH2.HG
H3$3G2.HGH2.H2G2.2GH2.2HG2.G2H2.H2G2.2HG2.2HG2.GHG2.2GH$H2G2.3G2.HGH2.
H2G2.2GH2.H2G2.H2G2.3G2.H2G2.HGH2.HGH$3H2.HGH2.H2G2.HGH2.H2G2.H2G2.HG
H2.2HG2.2GH2.H2G2.H2G3$2HG2.HGH2.H2G2.GHG2.3G2.2GH2.3G2.H2G$H2G2.3G2.
H2G2.H2G2.H2G2.H2G2.HGH2.2GH$3G2.H2G2.H2G2.H2G2.HGH2.H2G2.H2G2.H2G3$3G
2.H2G$H2G2.3G$H2G2.H2G!

These 52 transitions are B2in3ceiky4aenqrt5acijn6ac/S02aei3aeijkry4aeijkqrtwyz5acijnqry6ac. I have not run any actual LLS searches yet.

EDIT: S0 in LaundryPizza03 frontend 1 is impossible.

Code: Select all

x = 3, y = 2, rule = B2-in4ikwyz5qy/S02cn3nqHistory
.2A$A2D!
[[ STOP 2 ]]

Edit 2: B3i in that frontend is also impossible because it would force a lightspeed front to the side at generation 4.

[LaundryPizza03]

I decided to continue LaundryPizza03's analysis of possible 3-cell P31 photons. LaundryPizza03 already determined that there are three unique solutions for the red row, I continue by analyzing the yellow row.

Code: Select all

x = 4, y = 9, rule = B/S012345678Super
4H$3HE$2HDE$HGDE$GHDE$GHDE$2HDE$3HE$4H!

Hmm... I might refine my EPE search I'm running on p31 frontend 1. Maybe I will process the second row in LLS as well.

In other news, I completed 2o2$bo! for non-relativistic ships with period at most 6 and B2a ships with period at most 4.

The former found 5233 objects:

• 1 still life
• 6 p2 oscillators
• 1 c/2o spaceship, which moves east
• 21 p3 oscillators
• 5 c/3o spaceships, all of which move east
• 87 p4 oscillators
• 19 c/4o spaceships, of which 18 move east and 1 moves south
• 16 2c/4o spaceships, all of which move east
• 7 c/4d spaceships, all of which move northeast
• 120 p5 oscillators
• 94 c/5o spaceships, of which 49 move east, 3 move west, 10 move south, and 32 move north
• 18 2c/5o spaceships, all of which move east
• 30 c/5d spaceships, of which 6 move southeast, 1 moves southwest, and 23 move northeast
• 4 (2,1)c/5 spaceships, all of which move ENE
• 916 p6 oscillators
• 1596 c/6o spaceships, of which 750 move east, 179 move west, 217 move south, and 450 move north
• 764 2c/6o spaceships, of which 583 move east, 15 move south, and 166 move north
• 295 3c/6o spaceships, all of which move east
• 854 c/6d spaceships, of which 256 move southeast, 53 move southwest, 25 move northwest, and 520 move northeast
• 379 (2,1)c/6 spaceships, of which 21 move ESE, 30 move WSW, 233 move ENE, and 95 move NNE

2o2$bo!_nonrel.txt

5233 distinct oscillators and spaceships

(320.32 KiB) Downloaded 45 times

The latter found 1 p1 photon, 2 p2 photons, 1 p3 photon, and 20 p4 photons.

2o2$bo!_rel4.txt

24 distinct spaceships

(1.16 KiB) Downloaded 40 times

[Aleph]

I decided to continue LaundryPizza03's analysis of possible 3-cell P31 photons. LaundryPizza03 already determined that there are three unique solutions for the red row, I continue by analyzing the yellow row.

Code: Select all

x = 4, y = 9, rule = B/S012345678Super
4H$3HE$2HDE$HGDE$GHDE$GHDE$2HDE$3HE$4H!

Hmm... I might refine my EPE search I'm running on p31 frontend 1. Maybe I will process the second row in LLS as well.

I was planning on writing a JS script to run the frontend through all 2^50 rules or so. Further analysis showed that the second row was completely defined through generation 5, and partially defined through generation 11.

The circled cell is also S3q, since it can only be birthed through B2a here, which only happens if the previous S3q cell is alive, which also only happens when S3q is on.

6074CB08-7748-426D-A10C-88A5FD77A178.png (17.61 KiB) Viewed 1866 times

The circled cell is also S3q, since it can only be birthed through B2a here, which only happens if the previous S3q cell is alive, which also only happens when S3q is on.

6074CB08-7748-426D-A10C-88A5FD77A178.png (17.61 KiB) Viewed 1866 times

I am trying to figure out the optimal way to write the boolean formulas to determine if generation 31 matches.