B2-ac3ij4c5e6cei/S234-ae68

For discussion of other cellular automata.
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ababa11e
Posts: 208
Joined: May 9th, 2024, 11:14 pm

B2-ac3ij4c5e6cei/S234-ae68

Post by ababa11e »

This rule has recently been discovered by me to have great diversity. As of the moment im reducing a p12 and searching for a c/7o:
Pattern collection:

Code: Select all

x = 69, y = 79, rule = B2-ac3ij4c5e6cei/S234-ae68
62b2o$60bobo$48bo2bo8b2ob2o$48b2ob2o11bo$10bo4bo4b2o24b2o2b2o9bo$bo6b
2o5b3o3b2o24bo11b2o2b3o$o7b2o4b3o4bobobo10b4o8bo13bo2bo$7bo8bo7b2o8bo
bo2bobo4b3o14b2o2b2o$25b2o6b2ob4ob2o4bo17bo2bo$59b2ob2obobo$59bobo2b2o
b2o$62b2o$61bo2b2o$60b2o2b2o$11b2o$9b2o$8bobobo$9b2o6b3o$11b2o4bobo$17b
2o3$9b2o$8b2o$9b2o3$13bobo$11b3obo$9b2o5bo$8bobobob5o$9b2o4bo$11b4ob2o
$12bobo4$10bo$8b3o$7b2o$8b3o$10bo3$15bo$11bob5o2b2o$7bob4o4bob2o$7b3o
3b2obo3b2o$4b3o3bo2bo$5bo4bo2b2o$7b3o$7bob2o$6b3o$7bob2o$7b3o$5bo4bo2b
2o$4b3o3bo2bo$7b3o3b2obo3b2o$7bob4o4bob2o$11bob5o2b2o$15bo5$19b3o$8bo
8bo5b3o$6bo6bobo2bo2bo2bo$9bo2bo3b3obo3bo$4b2o3b3o12b2o$5b2o3bo2b2obo
$14b2o$14b2o$5b2o3bo2b2obo$4b2o3b3o12b2o$9bo2bo3b3obo3bo$6bo6bobo2bo2b
o2bo$8bo8bo5b3o$19b3o!
The aforementioned p12:

Code: Select all

x = 11, y = 9, rule = B2-ac3ij4c5e6cei/S234-ae68
2b2obob2o$3obob2o$o3bo3bo$b3obobo$o2bo3bob2o$2o5b3o$bob3o$2bo2bo2b2o$
b2o5b2o!
Longest C/7o Partial:

Code: Select all

x = 147, y = 13, rule = B2-ac3ij4c5e6cei/S234-ae68
2b2o22b2o16b2o57b2o15b2o21bo$2bo8b2o13bo16bo4b2o30b2o21bo16bo3b2o6bo2b
o5b4obo$3b3o4bo5b2o6bob2o16b4o31b2o6bo5b2o8b2o16b4o5b7o2b3o$2o9b3ob2o
5bob3o10bobo2b2o4b4o3bo13b2o8b4o9b2o5bo16b2ob2obo2b3o2bo2bo2b4ob4obo$
obobo5bo6b2ob3o3b2o2b2o4b3obobo2b2o3b3obo5bo4bo2b3o2bo2bo3bo2b2o2bobo
4b2ob3o5b4o4b4o2bob3o3bob2o2b3o3bo3bob2o$4ob2o2b2obo3bob2o3b2o6bo3b3o
2bobo3bob2obo4b2o2bobo3bob2o2bo2b4o4bob2o2b2ob2ob7o4b2o8b2o5bob2obobo
bo2bob10o$2bob2o2b2o5b3o3bo3b4o2b3obo2b3ob3o4b2o2b3o2b2ob2o6bo3bob9ob
o3b2obobo7b2o5bob3ob6ob2o3b4o3b2obobo5b2o$4ob2o2b2obo3bob2o3b2o6bo3b3o
2bobo3bob2obo4b2o2bobo3bob2o2bo2b4o4bob2o2b2ob2ob7o4b2o8b2o5bob2obobo
bo2bob10o$obobo5bo6b2ob3o3b2o2b2o4b3obobo2b2o3b3obo5bo4bo2b3o2bo2bo3b
o2b2o2bobo4b2ob3o5b4o4b4o2bob3o3bob2o2b3o3bo3bob2o$2o9b3ob2o5bob3o10b
obo2b2o4b4o3bo13b2o8b4o9b2o5bo16b2ob2obo2b3o2bo2bo2b4ob4obo$3b3o4bo5b
2o6bob2o16b4o31b2o6bo5b2o8b2o16b4o5b7o2b3o$2bo8b2o13bo16bo4b2o30b2o21b
o16bo3b2o6bo2bo5b4obo$2b2o22b2o16b2o57b2o15b2o21bo!
ababa11e: creating rules one golf at a time.

Code: Select all

x = 15, y = 9, rule = B3-jr4jn6c/S234i5r
6bo$6bo$8bo$8b3o$10bo$7bo2bo$7b3o!
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R2INT
Posts: 860
Joined: July 2nd, 2024, 7:42 pm

Re: B2-ac3ij4c5e6cei/S234-ae68

Post by R2INT »

P22 reduced to 25 cells:

Code: Select all

x = 10, y = 8, rule = B2-ac3ij4c5e6cei/S234-ae68
bo$b2ob2o$3bobob2o$2ob3o2b2o$bo7bo$o7bo$bo6b2o$2o!
P3 dot sparker:

Code: Select all

x = 2, y = 5, rule = B2-ac3ij4c5e6cei/S234-ae68
2o$bo$2o$bo$2o!
Larger c/3o:

Code: Select all

x = 5, y = 3, rule = B2-ac3ij4c5e6cei/S234-ae68
obobo$2ob2o$2bo!
P6 with a different rotor:

Code: Select all

x = 5, y = 8, rule = B2-ac3ij4c5e6cei/S234-ae68
bo$2obo$2bo$bo2bo$b3o2$b2o$2bo!
P18:

Code: Select all

x = 8, y = 9, rule = B2-ac3ij4c5e6cei/S234-ae68
2b2o$obo$2ob2o$2bobo$obobo$2o2bo$2b2o2b2o$2bob2obo$4bo!
Smaller P7 with a new rotor (Minpop 12):

Code: Select all

x = 7, y = 5, rule = B2-ac3ij4c5e6cei/S234-ae68
bo$2ob2o$b2obo$3bob2o$5bo!
Same rotor as in the pattern collection, with minpop 13:

Code: Select all

x = 7, y = 7, rule = B2-ac3ij4c5e6cei/S234-ae68
2bo$2b2ob2o$2o3bo$bobo2$b2o$bo!
P9:

Code: Select all

x = 10, y = 10, rule = B2-ac3ij4c5e6cei/S234-ae68
4bo$4b2o$bo$2ob3o$2bo3b2o$2b2obobobo$4bo2b3o$4b2o$6b2o$6bo!
9593M:

Code: Select all

x = 16, y = 16, rule = B2-ac3ij4c5e6cei/S234-ae68
2o2b4o3bobo$o3bobob4obobo$2o2b2obob3o2bo$bo8b4obo$b4obo2bobo$b2o3b2ob
ob3o$2o2bo3bo2b3obo$ob3ob2o2b2o2b2o$4ob3ob2ob4o$b3o5b2obob2o$3b3o4b2o
3bo$3bo3bo4bo$3o2bob3obo3bo$3b2o3b2ob2o2bo$2bo2bob3ob2o2bo$5b2ob2o!
EDIT: P15 in 38 cells:

Code: Select all

x = 12, y = 10, rule = B2-ac3ij4c5e6cei/S234-ae68
3b2o$3bo3b2o$2ob5o$bo3bo$8b2o$b2obobobo$2b3o2bob2o$5b2o3bo$3b2o2b2ob2o
$4bo2bo!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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ababa11e
Posts: 208
Joined: May 9th, 2024, 11:14 pm

Re: B2-ac3ij4c5e6cei/S234-ae68

Post by ababa11e »

Okay, i found the c/7o. Im updating the pattern collection rn, ill start searching for c/8o.

Code: Select all

x = 27, y = 13, rule = B2-ac3ij4c5e6cei/S234-ae68
3b2o$3bo7b2o$4b2o5bo5b2o$b2o9b2ob3o5bo$2obob2o4bo6b2ob3obo$bo4b3ob2o5b
ob2o3b3o$3b2o4bo2b2o2bo8b2o$bo4b3ob2o5bob2o3b3o$2obob2o4bo6b2ob3obo$b
2o9b2ob3o5bo$4b2o5bo5b2o$3bo7b2o$3b2o!
ababa11e: creating rules one golf at a time.

Code: Select all

x = 15, y = 9, rule = B3-jr4jn6c/S234i5r
6bo$6bo$8bo$8b3o$10bo$7bo2bo$7b3o!
User avatar
R2INT
Posts: 860
Joined: July 2nd, 2024, 7:42 pm

Re: B2-ac3ij4c5e6cei/S234-ae68

Post by R2INT »

P15 in 19 cells and a new rotor:

Code: Select all

x = 9, y = 6, rule = B2-ac3ij4c5e6cei/S234-ae68
7b2o$6b2o$4bo2bo$3bob2o$2obobobo$bob2ob2o!
P8 in 23 cells:

Code: Select all

x = 9, y = 8, rule = B2-ac3ij4c5e6cei/S234-ae68
4b2o$2bobo$2b2obo$2o3bob2o$bo2bobobo$b2o3bo$2bo3bo$6b2o!
8c/24 linear growth:

Code: Select all

x = 8, y = 13, rule = B2-ac3ij4c5e6cei/S234-ae68
$2b3o$2bobo$2b3o$b2ob2o2$2bobo2$2b2o$3b2o$4b2o$2b2o$3bo!
Oscillator collection with periods 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 18, 22, and 62:

Code: Select all

x = 100, y = 277, rule = B2-ac3ij4c5e6cei/S234-ae68
12b2ob2ob2o$12b2ob2ob2o2$18b2o71bo$18b2o70b2o3bobo$45bo8bo3bobo4bobob
2o2bo13bo5b3ob2o$12b2ob2ob2o4bo4bo5bo3bo4b2o3bo2b3o2b2ob2o3b2obobo2b2o
bobobobobob2o4bo3bo$12b2ob2ob2o5bo3bo3bo4bo2bo2b2o3b2o41bo3bob2o$29bo
4bo5bo4bo6b2o4b4o5bo5b2o11b2o3b2o2bob2o$12b2o38bo5bo2bo3bobob2o2bo13b
o5b2o$12b2o51b2obobo20b2o2bo$92bob2o$12b2ob2ob2o74bo$12b2ob2ob2o5$12b
2ob2ob2o$12b2ob2ob2o2$18b2o$18b2o$25bo3b2o7bo$12b2ob2ob2o6bo3bo4b2ob2o
$12b2ob2ob2o3bo5b2o5b2o$24bo5bo5bo2b2o$18b2o9b2o4b2o3bo$18b2o2$12b2ob
2ob2o$12b2ob2ob2o5$12b2o4b2o$12b2o4b2o35b2o$32bo12b2o9b2o4bobobobobo$
12b2o4b2o5bo6b3o3b2o2bob2o9bo6b2obobob2o$12b2o4b2o7bo10bobo4bo4b2o3bo
9bo$24bo16b2o8bo3b2o$12b2ob2ob2o6bo5b3o5b2o9bo10bobobobobo$12b2ob2ob2o
14bo14b2o11b2obobob2o$50b2o$18b2o$18b2o2$18b2o$18b2o6$12b2ob2ob2o$12b
2ob2ob2o2$12b2o28bo$12b2o25b2ob2o$23b2o15b2o$12b2ob2ob2o4bo14bo2bo$12b
2ob2ob2o6bo14b2o$28bo8b2o2bo$18b2o8b2o5bobo$18b2o14b2ob2ob2o$40bo$12b
2ob2ob2o$12b2ob2ob2o5$12b2o$12b2o2$12b2o$12b2o50b2o9bobobob2o$37bo2bo
4bo9b2obo3bobo10b2obobobo$12b2ob2ob2o16b2ob2o3b2obo7bob2o3b2obobo12bo
$12b2ob2ob2o4bob4obo6bo7bo5b2o11bob2o$23b2o6b2o4bo7bo2bo4b2o11bo8bobo
bob2o$12b2o4b2o16b2o7b3o5bo12b3o6b2obobobo$12b2o4b2o31b2obo13bobo$45b
2o5bob2o10b2ob2o$12b2ob2ob2o26bo19bo$12b2ob2ob2o7$12b2ob2ob2o$12b2ob2o
b2o2$18b2o$18b2o20bo$28bo11b2ob2o$18b2o7b2ob2o6b2o3bo$18b2o8b2obo7bob
o$30bob2o$18b2o12bo6b2o$18b2o19bo2$18b2o$18b2o6$12b2ob2ob2o$12b2ob2ob
2o2$12b2o4b2o10b2o6bobo$12b2o4b2o8bobo6b2ob2o7bobobobobobobobo$28b2ob
o7bo9b2obobobobobob2o$12b2ob2ob2o6b2o3bob2o4b2o17bo$12b2ob2ob2o7bo2bo
bobo3b2o4bo$27b2o3bo11b2o3bobobobobobobobo$12b2o4b2o8bo3bo5b2o3bo5b2o
bobobobobob2o$12b2o4b2o12b2o5bob2ob2o$42bobo$12b2ob2ob2o$12b2ob2ob2o5$
12b2ob2ob2o$12b2ob2ob2o$28bo$12b2o4b2o8b2o$12b2o4b2o5bo$24b2ob3o$12b2o
b2ob2o6bo3b2o$12b2ob2ob2o6b2obobobo$28bo2b3o$18b2o8b2o$18b2o10b2o$30b
o$18b2o$18b2o5$6b2o10b2o$6b2o10b2o8bo3bo$28b2ob2o$6b2o10b2o9bobo$6b2o
10b2o10bo2$6b2o10b2o$6b2o10b2o10b2o$31bo$6b2o10b2o$6b2o10b2o2$6b2o10b
2o$6b2o10b2o5$6b2o4b2ob2ob2o$6b2o4b2ob2ob2o2$6b2o10b2o22b2obob2o$6b2o
10b2o20b3obob2o$40bo3bo3bo$6b2o4b2ob2ob2o4bobobobobobobo4b3o3bo$6b2o4b
2ob2ob2o4b2obobobobob2o3bo2bo3bob2o$33bo6b2o5b3o$6b2o4b2o27bob3o$6b2o
4b2o10bobobobobobobo5bo2bo2b2o$24b2obobobobob2o4b2o5bo$6b2o4b2ob2ob2o
$6b2o4b2ob2ob2o4$6b2o4b2o4b2o$6b2o4b2o4b2o2$6b2o4b2o4b2o$6b2o4b2o4b2o
5bobobobob2o$25b2obobobobo$6b2o4b2ob2ob2o$6b2o4b2ob2ob2o9bo$25bobobob
ob2o$6b2o10b2o5b2obobobobo$6b2o10b2o2$6b2o10b2o$6b2o10b2o4$6b2o4b2ob2o
b2o$6b2o4b2ob2ob2o2$6b2o4b2o28b2o$6b2o4b2o28bo3b2o$39b2ob5o$6b2o4b2ob
2ob2o12b2o6bo3bo$6b2o4b2ob2ob2o11b2o14b2o$29bo2bo7b2obobobo$6b2o10b2o
8bob2o9b3o2bob2o$6b2o10b2o5b2obobobo11b2o3bo$26bob2ob2o9b2o2b2ob2o$6b
2o4b2ob2ob2o23bo2bo$6b2o4b2ob2ob2o10$6b2o4b2ob2ob2o$6b2o4b2ob2ob2o8b2o
$26bobo$6b2o4b2o4b2o6b2obo$6b2o4b2o4b2o8bo$26bobo$6b2o4b2ob2ob2o6b2o2b
o$6b2o4b2ob2ob2o8b2o2b2o$28bob2obo$6b2o4b2o4b2o10bo$6b2o4b2o4b2o2$6b2o
4b2ob2ob2o$6b2o4b2ob2ob2o6$2ob2ob2o4b2ob2ob2o$2ob2ob2o4b2ob2ob2o2$6b2o
10b2o6bo$6b2o10b2o6b2ob2o$28bobob2o$2ob2ob2o4b2ob2ob2o5b2ob3o2b2o$2ob
2ob2o4b2ob2ob2o6bo7bo$25bo7bo$2o10b2o12bo6b2o$2o10b2o11b2o2$2ob2ob2o4b
2ob2ob2o$2ob2ob2o4b2ob2ob2o8$2o10b2ob2ob2o$2o10b2ob2ob2o2$2o16b2o$2o16b
2o4bobobobobobob2o$24b2obobobobobobo$2ob2ob2o4b2ob2ob2o15bo$2ob2ob2o4b
2ob2ob2o$24bobobobobobob2o$2o4b2o4b2o10b2obobobobobobo$2o4b2o4b2o2$2o
b2ob2o4b2ob2ob2o$2ob2ob2o4b2ob2ob2o!
24470M:

Code: Select all

x = 16, y = 16, rule = B2-ac3ij4c5e6cei/S234-ae68
bo2b4obo3bobo$o3b2o2bo2b2ob2o$6ob2obo2bo$2o2b2ob2o2b2obo$obo2bob7o$b2o
3bo3b2o$b6o3b2o$bo2bobo4bo3bo$2bo3bob2o4bo$bo4bobobob2obo$obob3o2b4o2b
o$2b3ob3ob2o2bo$3b3ob3o4bo$b5o3bobo3bo$bob11o$bo4b2obobo3bo!
EDIT: P13

Code: Select all

x = 6, y = 9, rule = B2-ac3ij4c5e6cei/S234-ae68
o3bo$2ob2o$bobo$2bo4$2b2o$3bo!
EDIT2: P10

Code: Select all

x = 8, y = 11, rule = B2-ac3ij4c5e6cei/S234-ae68
2bo$b2ob2o$bo3b2o$4bo$b2o3bo$2bo3b2o$2bobo$2ob3obo$bo4b2o$4b2o$5bo!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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b-engine
Posts: 3762
Joined: October 26th, 2023, 4:11 am
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Re: B2-ac3ij4c5e6cei/S234-ae68

Post by b-engine »

P8 billiard:

Code: Select all

x = 12, y = 11, rule = B2-ac3ij4c5e6cei/S234-ae68
4b2o$4bo$b2o2bo$bo2b2obo$3bo3b2o$3bo2bobo$2obo4bobo$bo2b4o2b2o$b2o6b2o
$3b2o2b2o$3bo4bo!
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R2INT
Posts: 860
Joined: July 2nd, 2024, 7:42 pm

Re: B2-ac3ij4c5e6cei/S234-ae68

Post by R2INT »

b-engine wrote: July 25th, 2024, 10:27 am P8 billiard:

Code: Select all

x = 12, y = 11, rule = B2-ac3ij4c5e6cei/S234-ae68
4b2o$4bo$b2o2bo$bo2b2obo$3bo3b2o$3bo2bobo$2obo4bobo$bo2b4o2b2o$b2o6b2o
$3b2o2b2o$3bo4bo!
Reduced by 8 cells (minpop 30):

Code: Select all

x = 12, y = 8, rule = B2-ac3ij4c5e6cei/S234-ae68
bo3bo$b2ob2obo$2obo3b2o$3bo2bobobo$3bo4bob2o$4b4o$3bo4bo$3b2o2b2o!
P6 in 9 cells:

Code: Select all

x = 5, y = 7, rule = B2-ac3ij4c5e6cei/S234-ae68
bo$2o$4bo$3b2o2$3b2o$4bo!
Range-2 INT
R2INT's Rule Collection

3-state rules are the final frontier.
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