Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » May 29th, 2020, 9:34 pm

Code: Select all

x = 16, y = 16, rule = B35y_S234y
ob3ob7obo$2b3ob2obo$2o2bob2o3b3o$6ob2o3b4o$b2ob2o5bobobo$b2ob3obobo2bo
bo$ob3o2b3o3bo$2bobob3o4b2o$b2ob2obo2bo$b2ob3o2b2o3bo$4bo3bo3b4o$3o2bo
2b2ob3obo$bo2b2o8b2o$b2o2bobob4obo$b4o3b2o2b2o$o2bo2bo3bobobo!

Code: Select all

x = 16, y = 16, rule = B35y_S234y
b6o4b3o$o2b3ob2o4b2o$2b5ob4obobo$2b2o2b5obo2bo$2bo6b2obo$3obo2bob2ob4o
$ob3o2bo3bob2o$4ob5o$b2o4b2ob2o2bo$5ob3ob2o2bo$3bo2b2o3b5o$b2ob2o2b6o$
2o3bobo2bo3b2o$o3b3o3bo3b2o$2bo3b2ob2ob2obo$b2o2b4o2b2ob2o!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » May 29th, 2020, 9:56 pm

I was bored. Still waiting on Rocknlol to provide a list of OT ships he found.

Code: Select all

x = 30, y = 24, rule = B2n3-e4ijn5-y6a8/S2-ae3-aej4ijny5ckqr6a78
18b2o8b2o2$19bobo4bobo2$19bo2bo2bo2bo$19b10o$20b3o2b3o$23b2o$20b2o4b2o
$22b4o$20b3o2b3o$2b2o5b2o9b2ob2ob2o$3bobobobo11bo4bo$b3o5b3o8bob4obo$
3bobobobo10bo6bo$bo9bo6bobob4obobo$o3bo3bo3bo5b5o2b5o$3bo5bo9b2obo2bob
2o$2obo5bob2o7bo6bo$bo2bobobo2bo8bo6bo$21b6o$b2o3bo3b2o10bo2bo$2b3obob
3o10bo4bo$3bo5bo12b4o!
Also, I found 4 c/2s, a c/4o, and a c/7o in "Blocks for Days", a rule found by muzikbike in September 2017 which has no naturally occurring ships so far. The first one is pretty small, however.

Code: Select all

x = 86, y = 42, rule = B2-ae3-cij4a5aj6e7e8/S01e2ai3ar4ar5air6ae7c8
2b2o9b2o11b5o2b5o4bob2o5b2obo9bo10b3o2b3o$o3bo7bo3bo9bo3bo2bo3bo4b4o5b
4o22bo2bo$2o3bo5bo3b2o9b5o2b5o4b2o9b2o8b2o9bobob2obobo$2obobo5bobob2o
9b5o2b5o4b3o3bo3b3o8b4o8b8o$2o13b2o9b5o2b5o4b3obo3bob3o4bo5bo10b6o$2o
13bo3bo6b3o2b2o2b3o4b5o3b5o4b2o2b2o10bob4obo$o3bo15bo5b2o2b4o2b2o4b6ob
6o4b2o12b12o$5bo11b2o2bo4b2o8b2o4b3obo3bob3o4b2o12b12o$2b2o2bo10b3obo
4b3obo2bob3o4bo2b2o3b2o2bo4b2obobo10b8o$2b3obo11bo8bo8bo5bob2o5b2obo4b
2ob2obo11b4o$3bo55b2o2b5o6bobob2obobo$59b2o2b5o4bobobob2obobobo$59b2o
3b4o4b2o2bo4bo2b2o$59b2o3b4o4b2o10b2o$59bobo3b3o4b3o8b3o$59bo5b3o4b3o
8b3o$60b2obob3o4bobo8bobo$61bo3bo7bo10bo2$74bobo4bobo2$76bo4bo$75bo6bo
$72b4o6b4o$73bobo6bobo$73bo2bo4bo2bo$76bo4bo$76b6o$77b4o$77b4o$76bob2o
bo$76bob2obo$75bo6bo$72b4o6b4o$72b2ob8ob2o$72b14o$72b14o$72b2o3b4o3b2o
$72b2o3b4o3b2o$72b2obob4obob2o$75bo6bo$75bo6bo!
The same rule also has a c/3o anti-spaceship, but no spaceships of that speed that I can find with qfind.

Code: Select all

x = 16, y = 26, rule = B1e2-ae3-air4-an5-ar6-ai7c/S1c2-e3-aj4-a5cij6ae78
2b2o8b2o$2b3o6b3o$2b2o8b2o$2b4ob2ob4o$b5ob2ob5o$4obo4bob4o$o14bo$3o10b
3o$3o10b3o$2obo8bob2o$2b3o6b3o$2b3o6b3o$4b3o2b3o$3b4o2b4o$3b3o4b3o$4bo
6bo$4bo6bo$3b3o4b3o$4b2o4b2o$b2o2bo4bo2b2o$2b4o4b4o$b5o4b5o$b2ob2o4b2o
b2o$2bo2bo4bo2bo$b2o2bob2obo2b2o$3b2o6b2o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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yujh
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » May 29th, 2020, 10:08 pm

c/5 wickstvher

Code: Select all

x = 16, y = 159, rule = B2-ae3-cij4a5aj6e7e8/S01e2ai3ar4ar5air6ae7c8
bo12bo$o2b2o6b2o2bo$o2bo8bo2bo$o2b10o2bo$4obo4bob4o$4o3b2o3b4o$5ob4ob
5o$5o6b5o$6o4b6o$7o2b7o$4o3b2o3b4o$4o3b2o3b4o$16o$2ob2obo2bob2ob2o$b3o
2b4o2b3o$2bo3b4o3bo$4b2ob2ob2o$4bo6bo2$6bo2bo$4bo6bo$3b3o4b3o$b2o2bo4b
o2b2o$b5o4b5o$b5o4b5o$bo12bo$bobo8bobo$2obo8bob2o$4o8b4o$3b3o4b3o$2b3o
2b2o2b3o$o2bo3b2o3bo2bo$6bo2bo$bo12bo$2obobo4bobob2o$4obob2obob4o$2o2b
o2b2o2bo2b2o$2o12b2o$o14bo$obo4b2o4bobo$o2bob6obo2bo$4b8o$2b12o$16o$bo
2b8o2bo$4b8o$2b3ob4ob3o$b3o2bo2bo2b3o$3b2o2b2o2b2o$o2bo8bo2bo$2obo8bob
2o$4o3b2o3b4o$4o2b4o2b4o$2obob2o2b2obob2o$2o4bo2bo4b2o$o5bo2bo5bo$bo4b
o2bo4bo2$3b2o6b2o$ob2o8b2obo$bobo8bobo$3bob2o2b2obo$3bobo4bobo$3bobo4b
obo$2bo3b4o3bo$6b4o2$3b2o2b2o2b2o$3b3o4b3o$5b2o2b2o$2bob2o4b2obo$2bo3b
4o3bo$6b4o$3b2ob4ob2o$b14o$b4ob4ob4o$b6o2b6o$b2o4b2o4b2o$2bo4b2o4bo$2b
o3bo2bo3bo$4b2o4b2o$3b3o4b3o$3b2ob4ob2o$4bo2b2o2bo$bo12bo$bobo2b4o2bob
o$bo12bo$bob3ob2ob3obo$2b2o8b2o$2bo2bo4bo2bo$2b2obo4bob2o$b6o2b6o$3o2b
2o2b2o2b3o$5obo2bob5o$3o2bob2obo2b3o$3o10b3o$2o2b2o4b2o2b2o$4b8o$3bob
6obo$4b8o$5b6o$2bo2b6o2bo$bobo2b4o2bobo$bo2b8o2bo$3bo2b4o2bo$6b4o$6b4o
$2bo10bo$b2o2b6o2b2o$b2o4b2o4b2o$bo2bob4obo2bo$6bo2bo$2bo2b2o2b2o2bo$b
6o2b6o$b3ob2o2b2ob3o$2bob3o2b3obo$4b3o2b3o$3b4o2b4o$2o4bo2bo4b2o$2o2b
3o2b3o2b2o$3o2bo4bo2b3o$2b2o3b2o3b2o$3bo2bo2bo2bo$7b2o$3b10o$3b10o$2b
3o2b2o2b3o$5bob2obo$3b3o4b3o$5b2o2b2o$b2o2b6o2b2o$b2ob2o4b2ob2o$bo2bob
o2bobo2bo$bo2bobo2bobo2bo$2b3o6b3o$2b2o8b2o$b2o10b2o$4b3o2b3o$3b4o2b4o
$2b5o2b5o$3b4o2b4o$6bo2bo$5b2o2b2o$3bob2o2b2obo$o3b3o2b3o3bo$2o3b2o2b
2o3b2o$3o2bo4bo2b3o$2bo2bo4bo2bo$2bo3b4o3bo$b2o3bo2bo3b2o$b2o3b4o3b2o$
b2o3b4o3b2o$b2o3b4o3b2o$b2o3b4o3b2o$b2o3b4o3b2o$b2o3b4o3b2o$b2o3b4o3b
2o$b2o3b4o3b2o$b2o3b4o3b2o!
'wickstcher land'

Code: Select all

x = 14, y = 37, rule = B2-ae3-cij4a5aj6e7e8/S01e2ai3ar4ar5air6ae7c8
2bo8bo$bo2b2o2b2o2bo$bo2bo4bo2bo$bo2b6o2bo$b2o8b2o$b2o8b2o$b2o8b2o$b4o
4b4o$2obo6bob2o$2o10b2o$4o6b4o$4o6b4o$4o6b4o$6o2b6o$14o$2o4b2o4b2o$2o
2bo4bo2b2o$bob8obo$2bob2o2b2obo2$5b4o$4b6o$2o2b6o2b2o$2obo2b2o2bob2o$
2o2bob2obo2b2o$4o6b4o$2bo8bo$6b2o$b4o4b4o$b2obob2obob2o$2bo2b4o2bo$2b
10o$2b10o$2b10o$2b10o$2b10o$2b10o!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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FWKnightship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship » May 30th, 2020, 1:05 am

yujh wrote:
May 29th, 2020, 9:34 pm

Code: Select all

x = 16, y = 16, rule = B35y_S234y
ob3ob7obo$2b3ob2obo$2o2bob2o3b3o$6ob2o3b4o$b2ob2o5bobobo$b2ob3obobo2bo
bo$ob3o2b3o3bo$2bobob3o4b2o$b2ob2obo2bo$b2ob3o2b2o3bo$4bo3bo3b4o$3o2bo
2b2ob3obo$bo2b2o8b2o$b2o2bobob4obo$b4o3b2o2b2o$o2bo2bo3bobobo!

Code: Select all

x = 16, y = 16, rule = B35y_S234y
b6o4b3o$o2b3ob2o4b2o$2b5ob4obobo$2b2o2b5obo2bo$2bo6b2obo$3obo2bob2ob4o
$ob3o2bo3bob2o$4ob5o$b2o4b2ob2o2bo$5ob3ob2o2bo$3bo2b2o3b5o$b2ob2o2b6o$
2o3bobo2bo3b2o$o3b3o3bo3b2o$2bo3b2ob2ob2obo$b2o2b4o2b2ob2o!
Natural p72:

Code: Select all

x = 32, y = 32, rule = B35y/S234y
bob2ob3o3b3o2b3o3b3ob2obo$4ob2ob3o10b3ob2ob4o$b2obobo2bo2bo2b2o2bo2bo
2bobob2o$2ob2ob2ob2obob4obob2ob2ob2ob2o$ob2o4bobo10bobo4b2obo$bo4b4o3b
2o2b2o3b4o4bo$4obo2bob2o2b4o2b2obo2bob4o$o2bobobo7b2o7bobobo2bo$2o2b3o
2b3o2b4o2b3o2b3o2b2o$b3obo2b2obobo4bobob2o2bob3o$bob2obobobo2b2o2b2o2b
obobob2obo$6bob2obobo4bobob2obo$ob2o8b3o2b3o8b2obo$o4bo3b5ob2ob5o3bo4b
o$o2bob2obobobobo2bobobobob2obo2bo$2b2o2b3o4bob2obo4b3o2b2o$2b2o2b3o4b
ob2obo4b3o2b2o$o2bob2obobobobo2bobobobob2obo2bo$o4bo3b5ob2ob5o3bo4bo$o
b2o8b3o2b3o8b2obo$6bob2obobo4bobob2obo$bob2obobobo2b2o2b2o2bobobob2obo
$b3obo2b2obobo4bobob2o2bob3o$2o2b3o2b3o2b4o2b3o2b3o2b2o$o2bobobo7b2o7b
obobo2bo$4obo2bob2o2b4o2b2obo2bob4o$bo4b4o3b2o2b2o3b4o4bo$ob2o4bobo10b
obo4b2obo$2ob2ob2ob2obob4obob2ob2ob2ob2o$b2obobo2bo2bo2b2o2bo2bo2bobob
2o$4ob2ob3o10b3ob2ob4o$bob2ob3o3b3o2b3o3b3ob2obo!
Natural c/6:

Code: Select all

x = 31, y = 31, rule = B35y/S234y
ob4obo2b11o2bob4obo$bobobob4ob2o3b2ob4obobobo$o3b2o4bo2b2ob2o2bo4b2o3b
o$2ob3obobob3o3b3obobob3ob2o$ob2obobobo2bobobobo2bobobob2obo$5o2b2obob
7obob2o2b5o$6bo6bo3bo6bo$2ob3obobo2b2obob2o2bobob3ob2o$bo3bo2b2ob3o3b
3ob2o2bo3bo$bob2o2b2ob2o2b3o2b2ob2o2b2obo$3o2bo3bobo7bobo3bo2b3o$o2bo
4b4obo3bob4o4bo2bo$2ob3ob2o5bobo5b2ob3ob2o$4ob4o2bobobobobo2b4ob4o$obo
b2o3bo2bo5bo2bo3b2obobo$o4bobobo3bobobo3bobobo4bo$obob2o3bo2bo5bo2bo3b
2obobo$4ob4o2bobobobobo2b4ob4o$2ob3ob2o5bobo5b2ob3ob2o$o2bo4b4obo3bob
4o4bo2bo$3o2bo3bobo7bobo3bo2b3o$bob2o2b2ob2o2b3o2b2ob2o2b2obo$bo3bo2b
2ob3o3b3ob2o2bo3bo$2ob3obobo2b2obob2o2bobob3ob2o$6bo6bo3bo6bo$5o2b2obo
b7obob2o2b5o$ob2obobobo2bobobobo2bobobob2obo$2ob3obobob3o3b3obobob3ob
2o$o3b2o4bo2b2ob2o2bo4b2o3bo$bobobob4ob2o3b2ob4obobobo$ob4obo2b11o2bob
4obo!
Natural 4c/12:

Code: Select all

x = 31, y = 31, rule = B35y/S234y
b2obo3b5ob3ob5o3bob2o$2o3bo2b2o2b2o3b2o2b2o2bo3b2o$o2b2o2b3obobo3bobob
3o2b2o2bo$2b3o3bo3b7o3bo3b3o$ob2ob3obo4b3o4bob3ob2obo$bo2b4o2bob3ob3ob
o2b4o2bo$4b2ob2ob2o3bo3b2ob2ob2o$2bob3o3bob2o3b2obo3b3obo$4o2bobo5b3o
5bobo2b4o$3obo5b3obobob3o5bob3o$o4b3obob2obobob2obob3o4bo$obo3bo2b3obo
bobob3o2bo3bobo$2obobobob2ob3ob3ob2obobobob2o$b3obobo3b2obobob2o3bobob
3o$o2b3o2b3ob3ob3ob3o2b3o2bo$o2b2obobo2bo7bo2bobob2o2bo$o2b3o2b3ob3ob
3ob3o2b3o2bo$b3obobo3b2obobob2o3bobob3o$2obobobob2ob3ob3ob2obobobob2o$
obo3bo2b3obobobob3o2bo3bobo$o4b3obob2obobob2obob3o4bo$3obo5b3obobob3o
5bob3o$4o2bobo5b3o5bobo2b4o$2bob3o3bob2o3b2obo3b3obo$4b2ob2ob2o3bo3b2o
b2ob2o$bo2b4o2bob3ob3obo2b4o2bo$ob2ob3obo4b3o4bob3ob2obo$2b3o3bo3b7o3b
o3b3o$o2b2o2b3obobo3bobob3o2b2o2bo$2o3bo2b2o2b2o3b2o2b2o2bo3b2o$b2obo
3b5ob3ob5o3bob2o!
New natural p5:

Code: Select all

x = 31, y = 31, rule = B35y/S234y
bo2b2o2b2ob2o5b2ob2o2b2o2bo$5o3bobobo5bobobo3b5o$bo5bobo11bobo5bo$bo2b
o9bobo9bo2bo$2obobo3bo2b7o2bo3bobob2o$o3b3ob3o2bobobo2b3ob3o3bo$5bo2bo
b5ob5obo2bo$2bo4b2ob4obob4ob2o4bo$2o3b4obob2o3b2obob4o3b2o$obob2o3bob
2o2bo2b2obo3b2obobo$bo3b4o2b2o2bo2b2o2b4o3bo$o5b2ob2o2bobobo2b2ob2o5bo
$2o2bob5ob2obob2ob5obo2b2o$4b5o2b2o5b2o2b5o$3b2obo7b3o7bob2o$4b2obob4o
b3ob4obob2o$3b2obo7b3o7bob2o$4b5o2b2o5b2o2b5o$2o2bob5ob2obob2ob5obo2b
2o$o5b2ob2o2bobobo2b2ob2o5bo$bo3b4o2b2o2bo2b2o2b4o3bo$obob2o3bob2o2bo
2b2obo3b2obobo$2o3b4obob2o3b2obob4o3b2o$2bo4b2ob4obob4ob2o4bo$5bo2bob
5ob5obo2bo$o3b3ob3o2bobobo2b3ob3o3bo$2obobo3bo2b7o2bo3bobob2o$bo2bo9bo
bo9bo2bo$bo5bobo11bobo5bo$5o3bobobo5bobobo3b5o$bo2b2o2b2ob2o5b2ob2o2b
2o2bo!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

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Moosey
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Moosey » May 31st, 2020, 8:33 am

Code: Select all

x = 7, y = 20, rule = B2cn3aejr4-a5n/S1e2ik3-e4airtw5ai
obobobo$obobobo$obobobo$obobobo$obobobo$obobobo$obobobo$obobobo$obobob
o$obobobo$obobobo$obobobo$obobobo$obobobo$obobobo$obobobo$obobobo$obob
obo$obobobo$o5bo!
Random growing puffer

Construction-y rule:

Code: Select all

x = 22, y = 31, rule = B2-ak3cekqy5aj/S12aei3i
obo$bo9$21bo$5bobo11b2o$6bo10$5bobo$6bo6$3bo$3bo!
There are some cool ships here:

Code: Select all

x = 24, y = 9, rule = B2-ak3cekqy5aj/S12aei3i
22bo$20o3bo$22bo$o10bo$bo10bo$o10bo$22bo$20o3bo$22bo!
And some more stuff

Code: Select all

x = 21, y = 14, rule = B2-ak3cekqy5aj/S12aei3i
19bo$b16o3bo$19bo$bo$2bo$bo$19bo$b16o3bo$19bo3$o$bo$bo!
Nice reaction between ships for transforming diag to ortho

Code: Select all

x = 3, y = 10, rule = B2-ak3cekqy5aj/S12aei3i
bo$2bo$bo6$obo$2bo!
Some puffers

Code: Select all

x = 128, y = 56, rule = B2-ak3cekqy5aj/S12aei3i
2o3bo$b2o3bo$2o3bo42$121bo4b2o$120bo2bob2o$121bo4b2o7$119b2o3bo$120b2o
3bo$119b2o3bo!
Hm

Code: Select all

x = 8, y = 11, rule = B2-ak3cekqy5aj/S12aei3i
b2o3bo$2b2o3bo$b2o3bo6$bo4b2o$o2bob2o$bo4b2o!
Also hm

Code: Select all

x = 8, y = 12, rule = B2-ak3cekqy5aj/S12aei3i
bo4b2o$o2bob2o$bo4b2o7$2o3bo$b2o3bo$2o3bo!
not active here but active on discord

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Saka
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » June 2nd, 2020, 1:03 am

Some strange life-forms.
A c/37d, a 20c/60o, and a 2c/6o

Code: Select all

x = 29, y = 97, rule = B3-cn4nt56-c78/S3i4a5-i678
25b2o$24b4o$22b7o$21b8o$21b7o$21b6o$20b7o$21b5o$20bobo22$11b3o2$12b3o
2$11b8o$14b6o$10b11o$12b10o$9b16o$4bob4ob15o$2b2ob22o$2b25o$b24obo$2b
21obobobo$obob19obobobo$obobobobobobobobobobobobobobo$obobobobobobobob
obobobobobobo$obob19obobobo$2b21obobobo$b24obo$2b25o$2b2ob22o$4bob4ob
15o$9b16o$12b10o$10b11o$14b6o$11b8o2$12b3o2$11b3o15$14b5o$19b2o$12b10o
$14b9o$11b12obo$12b12ob2o$11b17o$11b17o$7bobob16obo$7bobob16obo$5bobob
ob14obobo$7bobob16obo$7bobob16obo$11b17o$11b17o$12b12ob2o$11b12obo$14b
9o$12b10o$19b2o$14b5o!
I really like the second one, to me it looks like some sort of alien sea creature.
c/50d and c/8o

Code: Select all

x = 11, y = 35, rule = B2i3-n4nt5-j6-c78/S3i4a5-i678
7bo$8b2o$6b4o$5b6o$5b5o$5b4o$6b3o$5b2o$7bo12$6bobo$4b3obo$3b8o$bob6o$b
9o$b10o$b10o$ob8o$b10o$b10o$b9o$bob6o$3b8o$4b3obo$6bobo!
The second rule contains oscillators like this p744

Code: Select all

x = 9, y = 35, rule = B2i3-n4nt5-j6-c78/S3i4a5-i678
4bo$3b2o$b5o$b6o$2b4o$2bobobo$obobobo$2bobobobo$obobobobo$2bobobo$obobobobo$
2bobobobo$obobobobo$2bobobobo$obobobobo$2bobobobo$obobobobo$obobobobo$obobobo
bo$2bobobobo$obobobobo$2bobobobo$obobobobo$2bobobobo$obobobobo$2bobobo$obobob
obo$2bobobobo$obobobo$2bobobo$2b4o$b6o$b5o$3b2o$4bo!
And in yet another rule, this p114 (stabilized)

Code: Select all

x = 64, y = 61, rule = B3-n4nt5-j6-c78/S3i4ai5-i678
29bo2$27b5o2$25b9o2$23b13o2$21b17o2$19b21o2$17b25o2$15b29o2$13b33o2$
11b37o2$9b41o2$7b45o2$5b49o2$bob53o$3o$b57o$b4o$60o$b6o55bo$b63o$9o51b
3o$b62o$b10o47b6o$63o$b12o43b7o$b63o$15o39b9o$b62o$b16o35b12o$63o$b18o
31b13o$b63o$21o23bobob15o$b62o$b22o19b22o$63o$b24o15b23o$b63o$27o11b
25o$b62o$b28o7b28o$b62o$b32ob29o$64o$b62o$b62o$64o$bo2bo2bo6bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo!
yet another rule, c/50d, c/62d, and 3c/65d

Code: Select all

x = 31, y = 40, rule = B3-n4nt5-j6-c78/S3i4a5-i678
2bo$3b2o$b4o$6o$5o$4o$b3o$2o$2bo8$13b3o$13b4o$11b7o$12b7o$10bob7o$12b
7o$12b5o$16bo$14bo7$30bo$26b4o$23bob5o$23b7o$22b8o$22b7o$22b6o$22b7o$
22b5o!
and another, c/13d

Code: Select all

x = 8, y = 8, rule = B3-cn4nt56-c78/S3i4ai5-ir6-i78
4bo$3b3o$bob4o$b7o$b6o$5o$6o$b2o!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » June 2nd, 2020, 7:18 am

Code: Select all

x = 16, y = 16, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
b2o3b6o2bo$2b2ob2obob5o$2b2obo2b4o2bo$3b2obo2b2o3bo$b3obo4bo3b2o$o3bo
4bo3b2o$3o4bo2b2ob3o$obo2bob2o3b2obo$b2o2b3o2b2o2bo$2o2b5obobo$b2ob4o
4bo$2obo2bob3ob4o$bo2b3obo2bo2b2o$obob2o2b3ob2obo$obob2o2bob3o$bo2bo4b
3obo!

Code: Select all

x = 16, y = 16, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
o2bo3b2o2b2ob2o$3ob2o3b2o3b2o$2obo3b3obo3bo$2ob3ob5ob2o$bob3o8b2o$ob3o
3b2obo2b2o$2o3bobobo5bo$2bo4b2o$bo3bo2b3o$2o5b2o3bo$3ob2o6b4o$2b3obob
5o$2obobobo2b2obobo$bo3b5o4b2o$bo4b2o3bo2b2o$obo2bob2ob3o2bo!

Code: Select all

x = 16, y = 16, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
2b4o5b2ob2o$ob2obob2ob2obobo$2o2b4o2b3o2bo$6obobo3bo$b2ob2ob4ob3o$ob3o
bobobobobo$2o2bo3bo3bo$2obobobobob5o$obob4obob2o$2o3bobo2bo2bobo$b2ob
2obobo$2ob2o2bo3bob2o$2o5b2ob2o2bo$b4ob2ob4o$5b2ob4o3bo$bob2o2b3o2b2ob
o!

Code: Select all

x = 7, y = 11, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
3b3o$b5o$2b3o$2b3o$b5o$b5o$b5o$7o$b5o$2b3o$3bo!

Code: Select all

x = 16, y = 16, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
bob2o6b2ob2o$4bob2o5b2o$b2obo3bo2b3o$o2bobo2b3o3b2o$obo2bo3b2o2bobo$2o
bobo4bobo2bo$o6b3obo$2bo3bo2b4ob2o$2b2o2bo3b2ob3o$o2b5obo$bobo3b2obo2b
o$bo2bo2b3o2b2obo$2b2obo8b2o$3o2bobob7o$o2bob4o2b2obo$5bob6o!

Code: Select all

x = 16, y = 16, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
2ob2obobob3o$2o2b5o3b2o$3b2o4bo4b2o$2bobo2bo2bobobo$2bo2bobob2ob3o$4ob
4obob4o$ob3o2b3o4bo$2b2o4b3o2b2o$b2obob7o$5o2b2obo2bo$bo3bob2o3bo$b2ob
3o2b2o2bo$o3bo3b3obobo$b2o2b4obo2b2o$2ob3o3b3obo$3b11o!

Code: Select all

x = 16, y = 16, rule = B2in3-ck4cjz5ekny678_S2n3-jq4acikqrt5ceky678
7o3b3ob2o$2obob4o2bo$3bo2bob2o3bobo$2o3bob4o3b2o$3b3ob3obob3o$2obo2b2o
2bo4bo$2obo3b3obo$4obo2bo3bo2bo$3b3obo$b4o4bobo2b2o$ob4ob2o2bob3o$2b2o
b3obo$bob2o2b2ob3obo$b9ob2ob2o$3b4obobob3o$obo2b5ob2o!
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » June 2nd, 2020, 11:12 am

New mod137 rotating gun.

Code: Select all

x = 11, y = 16, rule = B2k3-eky4q8/S2aek3-a4ai
6b2o$6b2o$6b2o3$2b2o4b2o$2b3o4b2o$bo3b2o3bo2$o6bo$o2b2o2bo$2obo4bo$b3o
bobo$2bo3bo$2bo2bo$3b3o!
Doesn't seem apgsearchable, however; we have quadratic growth in 11 cells.

Code: Select all

x = 8, y = 3, rule = B2k3-eky4q8/S2aek3-a4ai
3ob3o$obobobo$7bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Entity Valkyrie 2 » June 3rd, 2020, 3:57 am

Finally found a rule where the creeper head is a spaceship:

Code: Select all

x = 6, y = 6, rule = B1e2k3n4aqwy/S1e2a3a4r6a7c
2o2b2o$2o2b2o$2b2o$b4o$b4o$bo2bo!
A lone dot is a replicator.
Bx222 IS MY WORST ENEMY.

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My recent rules:
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B3-kq4ej5i6ckn7e/S2-i34q6a7
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » June 3rd, 2020, 4:37 am

This is from "Rules with interesting dynamics" but I love it so much, I'll post it here as well!
A 3c/1597d in an amoeba rule!

Code: Select all

x = 25, y = 25, rule = B2c3-i4inr5-n678/S4t5678
21b3o$17bo3b4o$15b3ob6o$13b12o$13b10o$11b12o$5bobo3b11o$bob3obob15o$2b
21o$b22o$2b20o$22o$b19o$b19o$2b16o$18o$2b15o$2b17o$4b13o$4b15o$5b13o$
7b11o$7b10o$9bob3obobo$9bo3bo!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yujh » June 3rd, 2020, 5:26 am

LaundryPizza03 wrote:
June 2nd, 2020, 11:12 am
New mod137 rotating gun.

Code: Select all

x = 11, y = 16, rule = B2k3-eky4q8/S2aek3-a4ai
6b2o$6b2o$6b2o3$2b2o4b2o$2b3o4b2o$bo3b2o3bo2$o6bo$o2b2o2bo$2obo4bo$b3o
bobo$2bo3bo$2bo2bo$3b3o!
Doesn't seem apgsearchable, however; we have quadratic growth in 11 cells.

Code: Select all

x = 8, y = 3, rule = B2k3-eky4q8/S2aek3-a4ai
3ob3o$obobobo$7bo!

Code: Select all

x = 11, y = 16, rule = B3-eky4q8/S2aek3-a4ai
6b2o$6b2o$6b2o3$2b2o4b2o$2b3o4b2o$bo3b2o3bo2$o6bo$o2b2o2bo$2obo4bo$b3o
bobo$2bo3bo$2bo2bo$3b3o!
rake without B2k
Rule modifier

B34kz5e7c8/S23-a4ityz5k
b2n3-q5y6cn7s23-k4c8
B3-kq6cn8/S2-i3-a4ciyz8
B3-kq4z5e7c8/S2-ci3-a4ciq5ek6eik7

Bored of Conway's Game of Life? Try Pedestrian Life -- not pedestrian at all!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » June 4th, 2020, 9:10 am

A rule with some stuff.
From top to bottom:
c/62o quarter-spacefiller and an extensible c/9o that can be extended in quite a few ways.

Code: Select all

x = 57, y = 291, rule = B2ein3-ak4nt5-ak678/S2a3ai4jqt5-i6-e78
38bo2$36b5o7bo$42b4o$34b9o3b3obo$40b9o$30bob20o$30b3o5b14o$29b21obo$
30b3o5b14o$30bob20o$40b9o$34b9o3b3obo$42b4o$36b5o7bo2$38bo11$31bo$30bo
bo2$31b3o$30b4o$28bob6o$28bobob3o$28bobobobobo$26bobobobobobo$26bobobo
bobobobo$24bobobobobobobobo$24bobobobobobobobobo$20bobobobobobobobobob
obo$20bobobobobobobobobobobobo$18bobobobobobobobobobobobobo$18bobobobo
bobobobobobobobobo$18bobobobobobobobobobobobobobo$16bobobobobobobobobo
bobobobobobo$16bobobobobobobobobobobobobobobobo$14bobobobobobobobobobo
bobobobobobobo$14bobobobobobobobobobobobobobobobobo$16bobobobobobobobo
bobobobobobobobo$16bobobobobobobobobobobobobobobo$18bobobobobobobobobo
bobobobobo$18bobobobobobobobobobobobobo$18bobobobobobobobobobobobobo$
20bobobobobobobobobobobobo$20bobobobobobobobobobobo$24bobobobobobobobo
bo$24bobobobobobobobo$26bobobobobobobo$26bobobobobobo$28bobobobobo$28b
obob3o$28bob6o$30b4o$31b3o2$30bobo$31bo6$30bobo$31bo$32bo$31b3o$29b6o$
29bob4o$29bob3obo$27bobob3obo$27bobobobobobo$25bobobobobobobo$25bobobo
bobobobobo$21bobobobobobobobobobo$21bobobobobobobobobobobo$19bobobobob
obobobobobobobo$19bobobobobobobobobobobobo$19bobobobobobobobobobobobo$
19bobobobobobobobobobobobo$21bobobobobobobobobobobo$21bobobobobobobobo
bobo$25bobobobobobobobo$25bobobobobobobo$27bobobobobobo$27bobob3obo$
29bob3obo$29bob4o$29b6o$31b3o$32bo$31bo$30bobo5$30bobo$31bo$32bo$31b3o
$29b6o$29bob4o$29bob3obo$27bobob3obo$25bobobobobobobo$27bobob3obo$29bo
b3obo$29bob4o$29b6o$31b3o$32bo$31bo$30bobo8$16bo13bobo$15bobo13bo$32bo
$16b3o12b3o$15b4o10b6o$13bob6o8bob4o$13bobob3o9bob3obo$13bobobobobo5bo
bob3obo$11bobobobobobo5bobobobobobo$11bobobobobobobobobobobobobobo$9bo
bobobobobobobobobobobobobobobo$9bobobobobobobobobobobobobobobobo$5bobo
bobobobobobobobobobobobobobobobobo$5bobobobobobobobobobobobobobobobobo
bobo$3bobobobobobobobobobobobobobobobobobobobo$3bobobobobobobobobobobo
bobobobobobobobobo$5bobobobobobobobobobobobobobobobobobobo$5bobobobobo
bobobobobobobobobobobobobobo$9bobobobobobobobobobobobobobobobo$9bobobo
bobobobobobobobobobobobobo$11bobobobobobobobobobobobobobo$11bobobobobo
bo5bobobobobobo$13bobobobobo5bobob3obo$13bobob3o9bob3obo$13bob6o8bob4o
$15b4o10b6o$16b3o12b3o$32bo$15bobo13bo$16bo13bobo9$16bo23bo$15bobo21bo
bo2$16b3o21b3o$15b4o20b4o$13bob6o16bob6o$13bobob3o17bobob3o$13bobobobo
bo15bobobobobo$11bobobobobobo13bobobobobobo$11bobobobobobobo11bobobobo
bobobo$9bobobobobobobobo9bobobobobobobobo$9bobobobobobobobobo7bobobobo
bobobobobo$5bobobobobobobobobobobobobobobobobobobobobobobo$5bobobobobo
bobobobobobobobobobobobobobobobobobobo$3bobobobobobobobobobobobobobobo
bobobobobobobobobobo$3bobobobobobobobobobobobobobobobobobobobobobobobo
bo$5bobobobobobobobobobobobobobobobobobobobobobobobo$5bobobobobobobobo
bobobobobobobobobobobobobobobo$9bobobobobobobobobo7bobobobobobobobobo$
9bobobobobobobobo9bobobobobobobobo$11bobobobobobobo11bobobobobobobo$
11bobobobobobo13bobobobobobo$13bobobobobo15bobobobobo$13bobob3o17bobob
3o$13bob6o16bob6o$15b4o20b4o$16b3o21b3o2$15bobo21bobo$16bo23bo8$31bo$
30bobo2$31b3o$30b4o$28bob6o$28bobob3o$28bobobobobo$26bobobobobobo$26bo
bobobobobobo$24bobobobobobobobo$24bobobobobobobobobo$20bobobobobobobob
obobobo$20bobobobobobobobobobobobo$20bobobobobobobobobobobobo$20bobobo
bobobobobobobobobo$20bobobobobobobobobobobobobo$22bobobobobobobobobobo
bobo$22bobobobobobobobobobobobobo$26bobobobobobobobobobobo$26bobobobob
obobobobobobobo$28bobobobobobobobobobobo$28bobobobobobobobobobobobo$
30bobobobobobobobobobobo$30bobobobobobobobobobobo$30bobobobobobobobobo
bobobo$32bobobobobobobobobobobo$32bobobobobobobobobobobo$36bobobobobob
obobobo$36bobobobobobobobo$38bobobobobobobo$38bobobobobobo$40bobobobob
o$40bobob3o$40bob6o$42b4o$43b3o2$42bobo$43bo5$11bobo$12bo$13bo17bo$12b
3o15bobo$10b6o$10bob4o15b3o$10bob3obo13b4o$8bobob3obo11bob6o$8bobobobo
bobo9bobob3o$6bobobobobobobo9bobobobobo$6bobobobobobobobo5bobobobobobo
$2bobobobobobobobobobo5bobobobobobobo$2bobobobobobobobobobobobobobobob
obobobo$obobobobobobobobobobobobobobobobobobobobo$obobobobobobobobobob
obobobobobobobobobobo$obobobobobobobobobobobobobobobobobobobobobo$obob
obobobobobobobobobo3bobobobobobobobobo$2bobobobobobobobobobobo3bobobob
obobobobobo$2bobobobobobobobobobo5bobobobobobobobobobo$6bobobobobobobo
bo7bobobobobobobobobo$6bobobobobobobo9bobobobobobobobobobo$8bobobobobo
bo13bobobobobobobobo$8bobob3obo15bobobobobobobobobo$10bob3obo17bobobob
obobobobo$10bob4o18bobobobobobobobobo$10b6o20bobobobobobobobo$12b3o21b
obobobobobobobo$13bo22bobobobobobobobobo$12bo25bobobobobobobobo$11bobo
24bobobobobobobobobo$42bobobobobobobo$42bobobobobobobobo$44bobobobobob
obo$44bobobobobobo$46bobobobobo$46bobob3o$46bob6o$48b4o$49b3o2$48bobo$
49bo!
Some oscillators. a P1904 1D-thingy and a "diamond shifter" p78

Code: Select all

x = 54, y = 40, rule = B2ein3-ak4nt5-ak678/S2a3ai4jqt5-i6-e78
16b4o2$14b8o$46bobo$12b12o$46bobo$10b16o$46bobo$8b20o19bo2$6b24o17bo2$
4b27o14b5o$29b2obo$2b29obo10b9o$27b4o$32o9b13o$25b5obo$b29obobo8b11o$
15bo2bo5b4obobobo$15bo2bo5b4obobobo10b7o$b29obobo$25b5obo14b3o$32o14bo
bo$27b4o16bo$2b29obo13bobo$29b2obo14bo$4b27o15bobo2$6b24o17bo$46bobo$
8b20o2$10b16o2$12b12o2$14b8o2$16b4o!

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » June 7th, 2020, 4:25 am

This puffer is very common in explosions. It travels at 3c/8 diagonal and produces a p2 oscillator every 24 generations. Is there a way to combine two or more of these puffers to make a spaceship? (It has a spark, but destroying objects is very hard in this rule.)

Code: Select all

x = 4, y = 5, rule = B0237/S
2bo$b2o$b2o2$o2bo!
The same puffer also works in B02378/S.

There is a 9c/24d ship in a nearby NT rule, however.

Code: Select all

x = 25, y = 30, rule = B023-e7c/S4e
o$obo3$b2o$bo5$9bobo$9b3o$9b2o$8b2o$11bo$12bo$12bo$11bo$14bo$14bo2$17b
o$20bo3$23bo$22b2o$22b2o2$21bo2bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » June 7th, 2020, 6:52 am

B0235/S23, aside from the replicator, has a p20 oscillator with two cells.

Code: Select all

x = 4, y = 3, rule = B0235/S23
o2$3bo!
Two dots that become two replicators in 76 generations.

Code: Select all

x = 6, y = 2, rule = B0235/S23
o$5bo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
LaundryPizza03 at Wikipedia

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Naszvadi » June 7th, 2020, 2:40 pm

LaundryPizza03 wrote:
June 7th, 2020, 6:52 am
B0235/S23, aside from the replicator, has a p20 oscillator with two cells.

Code: Select all

x = 4, y = 3, rule = B0235/S23
o2$3bo!
Two dots that become two replicators in 76 generations.

Code: Select all

x = 6, y = 2, rule = B0235/S23
o$5bo!
For the audience: since 2002, David Eppstein listed lot's of life-like rules with B0 containing replicators.
https://www.ics.uci.edu/~eppstein/ca/replicators/
Should focus among the above rules that are apg-searchable IMHO.

Is the p20 usable for a possible glider circuitry? (as an eater/turner/splitter/gun...)

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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » June 7th, 2020, 3:59 pm

Naszvadi wrote:
June 7th, 2020, 2:40 pm
LaundryPizza03 wrote:
June 7th, 2020, 6:52 am
B0235/S23, aside from the replicator, has a p20 oscillator with two cells.

Code: Select all

x = 4, y = 3, rule = B0235/S23
o2$3bo!
Two dots that become two replicators in 76 generations.

Code: Select all

x = 6, y = 2, rule = B0235/S23
o$5bo!
For the audience: since 2002, David Eppstein listed lot's of life-like rules with B0 containing replicators.
https://www.ics.uci.edu/~eppstein/ca/replicators/
Should focus among the above rules that are apg-searchable IMHO.

Is the p20 usable for a possible glider circuitry? (as an eater/turner/splitter/gun...)
There is an eater for the 8c/16d:

Code: Select all

x = 21, y = 16, rule = B0235/S23
2bo15b2o$16bob2o$5bo10bobobo$16bobobo$17b2obo$17b2o2$10bo$11b2o$11bobo
bo$12b4o$2b3o7b4o$2o10bob2o$6o6b2obo$4b2o11bo$b3o13b2o!
However, I don't think there is a way to safely collide it with a replicator, as the latter has period 16.

Is there a way to combine replicators to make one of the following spaceships?

Code: Select all

x = 15, y = 7, rule = B0235/S23
14bo$13bo2$9bobo$o2bo4b2obo$4o4b4o$b2o6b3o!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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Saka
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Saka » June 8th, 2020, 1:12 am

Have some LLS outputs!
10x7 rectangles @ c/9o

Code: Select all

x = 10, y = 7, rule = B2cek3an4-ijqry5-cr6ack/S01c2-ce3ajny4acnqtwy5-aejk6-c7c8
10o$10o$4o3b3o$10o$4o3b3o$10o$10o!

Code: Select all

x = 10, y = 7, rule = B2-ak3cejkr4-aceqt5eknqr6-a78/S1c2-ek3-ijky4-cjy5ceijr6aei7
10o$5o2b3o$obo5b2o$5ob4o$obo5b2o$5o2b3o$10o!

Code: Select all

x = 10, y = 7, rule = B1e2-an3aknry4jqrt5ceir6-ci7e8/S1c2-n3cejkr4ciqryz5-ik6-ek7c
10o$o8bo$o8bo$o7b2o$o8bo$o8bo$10o!
A rule with signals, turns, and a splitter

Code: Select all

x = 25, y = 14, rule = B2ikn3cnry4cejqyz5-aij6ci7e/S01e2eik3-ny4aejkqrt5-acqy6-ek8
2b7obob13o$2b23o$9obob13o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$3o6bobo$3o$3o6b
3o$3o6b3o$12o$2b8o$2b8o!
I'll try to look for a "better" one...
Ok, here's a nice one

Code: Select all

x = 70, y = 20, rule = B2ekn3-aci4-antwy5-ar6-ek78/S1c2-i3-n4-ny5-jk6-e7c8
41b3o10b3o$41b3o10b3o$39b20o$39b20o$39b20o$19b3o19b3o10b3o$19b3o19b3o
10b3o$19b3o19b3o10b3o$19b3o19b3o10b3o$19b3o19b3o10b3o$19b3o19b3o10b3o$
b6o6bob13o13b3o10b3o$ob5o6b2ob12o13b3o10b3o$b6o6bob13o13b3o10b3o$19b3o
17b10ob20o$19b3o17b11ob19o$19b3o17b10ob20o$19b3o19b3o10b3o$19b3o19b3o
10b3o$19b3o!
====
Some guns found by LLS
p7 lasers

Code: Select all

x = 3, y = 10, rule = B2-kn3knqr4cenqt5aiknq6c7c/S1e2en3in4cejrtz5-ijnq6-ae7
bo$2bo2$2o$bo$bo$2o2$2bo$bo!

Code: Select all

x = 5, y = 10, rule = B2ae3eiknr4ejy5acekn6-c/S2aen3-aej4-jt5-acny6-i7e
obobo$b3o$b4o$4o$bo$bo$4o$b4o$b3o$obobo!
p11 c/2o gun

Code: Select all

x = 2, y = 8, rule = B2en3eir4eiqtyz5-ijkr6a7/S1c2ekn3ijknq4cejqtwy5-cijn6ek7c8
bo$bo$ob$ob$ob$ob$bo$bo!
p10 2c/3o gun (is this the first gun for a relativistic spaceship?)

Code: Select all

x = 5, y = 9, rule = B2ac3aen4aijnqwz5-aikr6in7c/S1c2cin3-cery4-enrwy5cejny6-cn7c
bo2bo$ob2o$bobo$b3o$obobo$b3o$bobo$ob2o$bo2bo!
Last edited by Saka on June 8th, 2020, 8:09 am, edited 1 time in total.

lemon41625
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by lemon41625 » June 8th, 2020, 4:50 am

2c/3 Backrake

Code: Select all

x = 30, y = 50, rule = 235/267/3
..............................$
......A.A..A.A..A.A..A.A......$
.....AABAAAABAAAABAAAABAA.....$
......BAB..BAB..BAB..BAB......$
....AAA.AAAA.AAAA.AAAA.AAA....$
..AA......................AA..$
..A.AAAAB..BAB..BAB..BAAAA.A..$
.AA...B.A..A.A..A.A..A.B...AA.$
A...B.A......A..A......A.B...A$
.B.AA..AA...BB..BB...AA..AA.B.$
..A..A.A....A....A....A.A..A..$
...BA..ABB....BB....BBA..AB...$
.....A.A.A....AA....A.A.A.....$
...AA..A..............A..AA...$
...B.A.A.....B..B.....A.A.B...$
.....B.A.....A..A.....A.B.....$
.......A......BB......A.......$
.......A...A......A...A.......$
...A...A..AABAAAABAA..A...A...$
..A.A..A...BAB..BAB...A..A.A..$
.AA.AA.A.AAA.AAAA.AAA.A.AA.AA.$
...A...A.B..........B.A...A...$
BAA..B.A.A..AA..AA..A.A.B..AAB$
...A.AAA.B.AAAAAAAA.B.AAA.A...$
..A..B.A...AAA..AAA...A.B..A..$
.A.A...B.AA........AA.B...A.A.$
..B..AA..A..........A..AA..B..$
...ABA.A.A.A.A..A.A.A.A.ABA...$
......BA.A.BA.AA.AB.A.AB......$
..BAAAA.AA.A.A..A.A.AA.AAAAB..$
...B..........AA..........B...$
..AA.AA.....AAAAAA.....AA.AA..$
...B.BA...B.BBAABB.B...AB.B...$
...A.BBA..AA......AA..ABB.A...$
....B.B................B.B....$
......A................A......$
.....AB.......BB.......BA.....$
..........BB..AA..BB..........$
..........AA......AA..........$
2c/3 Backrake 2

Code: Select all

x = 30, y = 50, rule = 235/267/3
..............................$
......A.A..A.A..A.A..A.A......$
.....AABAAAABAAAABAAAABAA.....$
......BAB..BAB..BAB..BAB......$
....AAA.AAAA.AAAA.AAAA.AAA....$
..AA......................AA..$
..A.AAAAB..BAB..BAB..BAAAA.A..$
.AA...B.A..A.A..A.A..A.B...AA.$
A...B.A......A..A......A.B...A$
.B.AA..AA...BB..BB...AA..AA.B.$
..A..A.A....A....A....A.A..A..$
...BA..ABB....BB....BBA..AB...$
.....A.A.A....AA....A.A.A.....$
...AA..A..............A..AA...$
...B.A.A.....B..B.....A.A.B...$
.....B.A.....A..A.....A.B.....$
.......A......BB......A.......$
.......A......AA......A.......$
..A.A..A..............A..A.A..$
.AABAA.A...AAA..AAA...A.AABAA.$
..BAB..A...A.A..A.A...A..BAB..$
AAA.BA.A..AA.AAAA.AA..A.AB.AAA$
B..A.A.A.A....BB....A.A.A.A..B$
..A..A.A.A..B.BB.B..A.A.A..A..$
...AB..BA.B..A..A..B.AB..BA...$
.BA....AB....A..A....BA....AB.$
....AA...A.A.AAAA.A.A...AA....$
...B.BA.A.AB.A..A.BA.A.AB.B...$
..A..A..AA.A.A..A.A.AA..A..A..$
..BA..A.A....A..A....A.A..AB..$
....BA..A....A..A....A..AB....$
......A.A..A.A..A.A..A.A......$
....AA..A.BA.A..A.AB.A..AA....$
....B.A.A...BB..BB...A.A.B....$
......B.B...A.AA.A...B.B......$
.......A..B..BAAB..B..A.......$
..........AB.BBBB.BA..........$
.............BBBB.............$
..............BB..............$
..............AA.............$
2c/3 Wickstrecher with Spaceships

Code: Select all

x = 30, y = 33, rule = 235/267/3
6.A.A2.A.A2.A.A2.A.A$5.2AB4AB4AB4AB2A$6.BAB2.BAB2.BAB2.BAB$4.3A.4A.4A
.4A.3A$2.2A22.2A$2.A.4AB2.BAB2.BAB2.B4A.A$.2A3.B.A2.A.A2.A.A2.A.B3.2A
$A3.B.A6.A2.A6.A.B3.A$.B.2A2.2A3.2B2.2B3.2A2.2A.B$2.A2.A.A4.A4.A4.A.A
2.A$3.BA2.A2B4.2B4.2BA2.AB$5.A.A.A4.2A4.A.A.A$3.2A2.A14.A2.2A$3.B.A.A
5.B2.B5.A.A.B$5.B.A5.A2.A5.A.B$7.A6.2B6.A$7.A6.2A6.A$7.A14.A$7.A5.B2.
B5.A$7.A5.A2.A5.A$7.A6.2B6.A$7.A6.2A6.A$7.A14.A$7.A5.B2.B5.A$7.A5.A2.
A5.A$7.A6.2B6.A$7.A6.2A6.A$7.A14.A$7.A14.A$7.A14.A$5.A.2A12.2A.A$4.2A
.A14.A.2A$5.A18.A!
Ending found by WildMyron

YAY 2c/3 Spaceship

Code: Select all

x = 30, y = 48, rule = 235/267/3
6.A.A2.A.A2.A.A2.A.A$5.2AB4AB4AB4AB2A$6.BAB2.BAB2.BAB2.BAB$4.3A.4A.4A
.4A.3A$2.2A22.2A$2.A.4AB2.BAB2.BAB2.B4A.A$.2A3.B.A2.A.A2.A.A2.A.B3.2A
$A3.B.A6.A2.A6.A.B3.A$.B.2A2.2A3.2B2.2B3.2A2.2A.B$2.A2.A.A4.A4.A4.A.A
2.A$3.BA2.A2B4.2B4.2BA2.AB$5.A.A.A4.2A4.A.A.A$3.2A2.A14.A2.2A$3.B.A.A
5.B2.B5.A.A.B$5.B.A5.A2.A5.A.B$7.A6.2B6.A$7.A6.2A6.A$2.A.A2.A14.A2.A.
A$.2AB2A.A3.3A2.3A3.A.2AB2A$2.BAB2.A3.A.A2.A.A3.A2.BAB$3A.BA.A2.2A.4A
.2A2.A.AB.3A$B2.A.A.A.A4.2B4.A.A.A.A2.B$2.A2.A.A.A2.B.2B.B2.A.A.A2.A$
3.AB2.BA.B2.A2.A2.B.AB2.BA$.BA4.AB4.A2.A4.BA4.AB$4.2A3.A.A.4A.A.A3.2A
$3.B.BA.A.AB.A2.A.BA.A.AB.B$2.A2.A2.2A.A.A2.A.A.2A2.A2.A$2.BA2.A.A4.A
2.A4.A.A2.AB$4.BA2.A.A2.4A2.A.A2.AB$6.A.A.A2B4.2BA.A.A$4.2A2.A2.AB4.B
A2.A2.2A$4.B.A.A.B2.B2.B2.B.A.A.B$6.B.A12.A.B$8.A3.A4.A3.A$8.A2.A.A2.
A.A2.A$8.A.2A.4A.2A.A$8.A3.B.2A.B3.A$8.A.AB.4A.BA.A$8.BA2B6.2BAB$7.3A
2.A4.A2.3A$11.3A2.3A$8.B.A8.A.B$11.2AB2.B2A$9.2A2.A2.A2.2A$9.B.B6.B.B
$9.A.A6.A.A$10.B8.B!
Download CAViewer: https://github.com/jedlimlx/Cellular-Automaton-Viewer

Supports:
BSFKL, Extended Generations, Regenerating Generations, Naive Rules, R1 Moore, R2 Cross and R2 Von Neumann INT
And some others...

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FWKnightship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship » June 8th, 2020, 7:37 am

Code: Select all

x = 76, y = 46, rule = TenLifeVariants
47.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A$47.G2.G2.G2.G2.G2.G2.G2.G2.G2.G2$45.
HB27.BH$45.HB3.3A21.BH$45.HB3.A.A21.BH$45.HB3.3A21.BH$45.HB27.BH2$47.
G2.G2.G2.G2.G2.G2.G2.G2.G2.G$47.2A.2A.2A.2A.2A.2A.2A.2A.2A.2A2$5.2A5.
2A$5.D7.D4$B9.6M2.B4$5.D7.D$5.2A5.2A13$31.2A4.2A2.2D4.2A$32.G5.G2.G5.
G3$30.G10.3A5.G$29.2D10.A.A5.2D$41.3A3$32.G5.G2.G5.G$31.2A4.2A2.2D4.
2A!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

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LaundryPizza03
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by LaundryPizza03 » June 9th, 2020, 4:25 am

This replicator looks to be new. It definitely wasn't known to Eppstein.

Code: Select all

x = 7, y = 4, rule = B0145/S12
bobobo$7o$7o$bobobo!
The same replicator also works in B0145/S012, and shuttles exist in both rules.

Code: Select all

x = 31, y = 31, rule = B0145/S12
9bobobo12bobo$8b7o10b4o$8b7o11b5o$9bobobo11b5o$27b4o$27bobo3$b2o$4o$b
2o$4o$b2o$4o$b2o2$28b2o$27b4o$28b2o$27b4o$28b2o$27b4o$28b2o3$bobo$4o$b
5o11bobobo$5o11b7o$2b4o10b7o$2bobo12bobobo!

Code: Select all

x = 23, y = 23, rule = B0145/S012
5bobobo$4b7o7b2o$4b7o6bo$5bobobo8bo2bo$b2o14b3obo$4o14bobo$b2o$4o$b2o$
4o$b2o2$20b2o$19b4o$20b2o$19b4o$20b2o$2bobo14b4o$bob3o14b2o$bo2bo8bobo
bo$5bo6b7o$3b2o7b7o$13bobobo!

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!
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FWKnightship
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship » June 9th, 2020, 7:57 am

Code: Select all

x = 7, y = 3, rule = B3-cekq4ez5aqr6a7e/S2cik3akr4ajrtz5ikny
bo$3bo$2o2b3o!

Code: Select all

x = 32, y = 3, rule = B3-cekq4r5ajnry6k/S2cik3ainr4akr5n6e
13bo12bo$4o8b3o13bo$12b3o10b2o2b3o!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

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EvinZL
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by EvinZL » June 9th, 2020, 2:56 pm

Code: Select all

x = 5, y = 9, rule = extendedlife
3.A$4.A$2.3A3$2.2AE$2.2F$.CE$2.C!

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Hdjensofjfnen
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » June 9th, 2020, 9:01 pm

6c/12o symmetric backrake:

Code: Select all

x = 7, y = 7, rule = LifeOnTheEdge
3.CA$.ABAC.A$B.B.B.B$3.B$B5.B2$2.BAC!
Of course, this is equivalent:

Code: Select all

x = 7, y = 7, rule = LifeOnTheSlope
.AB.BAB$A3.A.A$B3.B2$BAB$A$BA!
EDIT:
EvinZL wrote:
June 9th, 2020, 2:56 pm

Code: Select all

x = 5, y = 9, rule = extendedlife
3.A$4.A$2.3A3$2.2AE$2.2F$.CE$2.C!
That is the most ridiculous 90-degree reflector I've ever seen. Of course, it's using some special states, but I'm surprised that something like that exists at all.

EDIT: From here on, I'll just use LifeOnTheSlope to show these. Fewer states are better.

Code: Select all

x = 18, y = 21, rule = LifeOnTheSlope
AB$2.B.B$3.B.B$B3.B$.BA4.B$5.A.A3$7.B3$9.AB$8.A.A$10.B$8.A2.B4.AB$12.
B3.BA$11.B.B3.B$12.B2.AB$17.B$17.A$15.BA!
A wave which I believe has no known stabilization:

Code: Select all

x = 56, y = 3, rule = LifeOnTheSlope
BA7.BA7.BA7.BA7.BA7.BA7.BA$AB7.AB7.AB7.AB7.AB7.AB7.AB$BA7.BA7.BA7.BA
7.BA7.BA7.BA!
136-tick diehard, which wasn't so easy to find as this rule is explosive:

Code: Select all

x = 6, y = 4, rule = LifeOnTheSlope
A$.A.A$2.A.A$3.A.A!
The longest-lasting methuselah, however, is at 430 generations, at least to my knowledge:

Code: Select all

x = 3, y = 3, rule = LifeOnTheSlope
.A$A.A$.A!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Layz Boi
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Layz Boi » June 9th, 2020, 11:34 pm

That LifeOnTheSlope rule is very interesting. I still don't know how it works or what states 1 and 2 do, or why they're similar colors.

Here are some random things like oscillators and ships.

Code: Select all

x = 160, y = 98, rule = LifeOnTheSlope
95.AB$95.BA$93.AB2.AB$93.BA2.BA$95.AB$95.BA4$.ABA81.A$.B.B79.B.A$.A.A
80.A.B$A.AB80.A$BA.A$106.A$6.B99.B$3.B2.A98.BA$.ABAB100.AB$.BA2.B87.B
11.B$3.A.A88.B10.A$3.BAB85.B$92.B2$30.AB$30.B.B3.B$30.AB3.BA.AB$39.A$
24.AB11.BAB$26.B7.BA$26.A$26.BAB$28.A$26.BAB56.AB$27.B71.4A$24.B3.B56.
BA12.4A$28.A$26.BA9$140.AB$142.BAB$144.A$142.BAB$138.A4.B$140.B3.B$144.
A$17.AB105.AB16.BA$14.AB.B108.B$14.BA110.A$14.A5.A105.BAB$15.ABA110.A
$15.BA.A107.BAB$18.BA107.B$124.B3.B$128.A30.B$126.BA28.B2.A$156.AB$70.
A87.B$66.BA2.B85.A.A$73.B82.BAB$67.AB.B2.A$67.BAB.BA2$42.AB$26.BAB.B12.
A16.AB$26.A3.ABAB9.B18.B$26.B2.AB9.BA20.A$27.BABAB.B6.A21.BAB$26.BABA
2.BA6.BA22.A$29.B12.A19.BAB$42.BABAB16.B$46.A13.B3.B52.AB$44.BAB17.A52.
B.B$41.BA19.BA53.AB28.B$30.B87.AB30.B$30.A2.B88.B27.A$27.A5.A88.A25.B
A$27.B3.B88.BA$28.BA2.B$30.A.A$30.BAB103.B$136.A$135.A$134.A$132.BA4$
144.A2B$143.A.A3.B$143.BAB3.A$147.BA!
Methuselahas in the left column: 103, 112, 137, 140, 208, 268, 440, 475, 544, 594
Diehards in the right column: 80, 96, 113, 138, 211, 252

Code: Select all

x = 190, y = 609, rule = LifeOnTheSlope
14.A.A$13.2A2.2A$12.A3.2A$160.A$158.2A$160.A.A$156.2A3.2A$157.A3.A$157.
A.2A$160.2A37$15.A$13.2A2.A142.A$13.A4.A142.3A$15.B.A140.A2.A$13.2ABA
142.A2.A$13.A144.A.2A$13.A2.A142.A36$16.A$15.A.A$17.A$14.A2.A4$159.A$
158.A$157.A$160.A$160.2A$159.3A42$12.4A$11.A2.2A$10.2A2.A$11.3A142.A.
2A$155.2A3.A$156.A.A.A$155.A.3A$155.2A$156.A47$183.A2.A.A$181.2A.2A2.
2A$184.A3.A$183.A2.2A3$12.A.A$11.A.2A$10.3A$9.A3.A$12.A44$160.A.A$159.
A.A.A$159.A4.A$160.2A.A$162.A16$3.2A.A$.2A.A$A.A3.A$3.A3.A$3.A2.A$3.A
2.A$4.2A63$32.AB$29.AB.BA$29.B$29.A.AB$30.A.A80$19.A$19.3A$19.2A$18.A
$15.3A$15.A$16.A$17.A57$6.A$6.2A2.A$4.A2.4A$5.A2.A$7.A2.A$6.4A110$8.3A
$7.A$8.A3.A$7.A.3A$10.A.2A$11.A!

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Hdjensofjfnen
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Hdjensofjfnen » June 10th, 2020, 12:22 pm

Layz Boi wrote:
June 9th, 2020, 11:34 pm
That LifeOnTheSlope rule is very interesting. I still don't know how it works or what states 1 and 2 do, or why they're similar colors.
Happy to explain! So if you run LifeOnTheSlope in Golly and zoom in to see the icons, you can see that state 1 is a diagonal line from the top left to the bottom right, and that state 2 is a diagonal line from the bottom left to the top right. If you copy-paste the bottom diagram into Golly, you can see a single line segment in the center surrounded by six other line segments. These are its 'neighbors'. A segment is on in the next generation if and only if it has two neighbors. Because of this, if you were to think of the lattice as a checkerboard, all cells of state 1 would be on the black squares and all cells of state 2 would be on the white squares. Patterns like this:

Code: Select all

x = 6, y = 2, rule = LifeOnTheSlope
5A$.5A!
are thus 'illegal'.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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