Factorio (R3,C2,S2,B3,N+)

[FWKnightship]

213M:

Code: Select all

x = 20, y = 20, rule = R3,C0,S2,B3,N+
2b2o2b2o3bo3bo$obobobobo3bob2o2bo$ob2o3b2o3b3o$5bo6bo$5bob3o2bo4bo$bob
o2b2o6b2ob2o$bo2bo7bo$2bo5b3o2bo3bo$3bo4b2o2bo2bo$o3bo5bo3bo$4bobo3b3o
2bo2b2o$o2b2o3bobo2bobobo$3b2obobo2bobobob2o$o7bo4bobo$o8bo2b3obobo$4b
o$5bo2bo5bob2obo$o3bo3bo3b2o4bo$3o4b2obo2b2o3bo$bobo5b2o2bo!

EDIT: 238M:

Code: Select all

x = 20, y = 20, rule = R3,C0,S2,B3,N+
3bo11bo2bo$bobo12b3o$bo2bo6b2o3b2o$o18bo$4bo5b2o6bo$bo2bob2obobo2bobo
2bo$2b2o2bo11b2o$8b2o2bobo3bo$o2bobo8bo$2o3b2obo2bo5bo$2bo2b2o7bob2o$b
2o2b2o2b2o4b4o$bo2bo2bob3o2bobobo$4o5bobo5bo$o2bo11b2o2bo$3bobo8b2o3bo
$2bo3bo2bobo5bo$2bobo2bo3bo2bo2b2o$3bob3o4bob3o$8bob2o3bo!

EDIT2: 286M:

Code: Select all

x = 20, y = 20, rule = R3,C0,S2,B3,N+
o3bo6bo2bo$b2obob3o3bobo2bobo$bo2bo13bo$o2b2o4bo3bo4bo$2o7bo4bo4bo$o3b
o4bobo3bo3bo$bo2bo4bobobo3bobo$o4bo3b6obo2bo$3bobo5bobob2o$2ob2o3bobob
o2bo$o3b2o2bo2bo2bo3bo$b2o6b2o3bo$b2o6b3o4b2o$o2b2o3b2o3bo$b2o5bo2bobo
$o4bobo3bob2o4bo$bo14bo2bo$9bo5bo2bo$12bo4bobo$7bo2b2o2b4o!

[AlephAlpha]

Smaller c/3o:

Code: Select all

x = 13, y = 6, rule = R3,C0,S2,B3,N+
4bobo3bo$bo3bo4b3o$b2o$2bobo$3bobo$o6bo!

Code: Select all

x = 26, y = 11, rule = R3,C0,S2,B3,N+
22b2obo$13bobo$10bobo7b3o$3o6bob3o11bo$5bo9bo2$5bo9bo$3o6bob3o11bo$10b
obo7b3o$13bobo$22b2obo!

Smaller 2c/3o:

Code: Select all

x = 34, y = 8, rule = R3,C0,S2,B3,N+
7bo$6bo2b2o$3o3bo$11bo10bo6bob3o$3b3o5bo7bo5bob2obo$bo10bo6b3o3bo4b2o$
5b2o5bob2o$3b2o3b2o3b2o6bo!

Code: Select all

x = 73, y = 19, rule = R3,C0,S2,B3,N+
11bo16bob2o3bo$10bo3b2o5bo$2bob2o2b2o2bo3bob2o2b2o2bo15bo10bob2o$6bo
21bo2bo2bo2bo2bobo10b2o7b2o6bo$4b2o9bobo20b2o2bo11bo$23b2obobob2o2bo3b
2o2bo9bo15bo$6bo2bo3bobobo20bo3bobobo4b2obo3bobo4bo2b2o$2obo2b2o6bo3bo
2b2o18bo30bo$8bo6bobo2b2o48bo$7b3o3bo8bo4bo$8bo6bobo2b2o48bo$2obo2b2o
6bo3bo2b2o18bo30bo$6bo2bo3bobobo20bo3bobobo4b2obo3bobo4bo2b2o$23b2obob
ob2o2bo3b2o2bo9bo15bo$4b2o9bobo20b2o2bo11bo$6bo21bo2bo2bo2bo2bobo10b2o
7b2o6bo$2bob2o2b2o2bo3bob2o2b2o2bo15bo10bob2o$10bo3b2o5bo$11bo16bob2o
3bo!

[Haycat2009]

Explaination for the Durnak effect:

There are 12 cells in each neighbourhood. So 12÷(1÷0.25)=3, the number of cells for birth and survival, will appear more often on average.

[AlephAlpha]

c/4o:

Code: Select all

x = 59, y = 6, rule = R3,C0,S2,B3,N+
10b3o20bob5o$2o5b3o42bo2b2o$19b2o2bo3bob3obo4bo6b3o6bo$b2obobo9b2obo3b
o3bobob2o3bobo2bo3bo6bob2o$2bo2bo3b2o34b2obo3bo2b2obo$15bobo6bob2o!

c/2d:

Code: Select all

x = 5, y = 12, rule = R3,C0,S2,B3,N+
2bo$bobo$o$bobo$3bo$o$2b2o$2bo$2bo$bo$4bo$3bo!

Code: Select all

x = 27, y = 27, rule = R3,C0,S2,B3,N+
11bo$8bobo$12bo$10bo$6b2obo3bo$6bo5bo$4b2obob2o$4bobo2bo$bo8bo3bo$4bob
2o3b2obo$bobo2bobo2b2o$o8b2obo$2bo2bo3b3o2bo$4bo9bo$8b2o2b2obobo$14bo
3b2o2bo$19bo3bo$14bo10bo$15bo5bo$15b2o3bo4bo$19bo$18bo3bo2b2o$15bo5bo$
16bo2$17bobobo$21bo!

[Haycat2009]

c/4o:

Code: Select all

x = 59, y = 6, rule = R3,C0,S2,B3,N+
10b3o20bob5o$2o5b3o42bo2b2o$19b2o2bo3bob3obo4bo6b3o6bo$b2obobo9b2obo3b
o3bobob2o3bobo2bo3bo6bob2o$2bo2bo3b2o34b2obo3bo2b2obo$15bobo6bob2o!

c/2d:

Code: Select all

x = 5, y = 12, rule = R3,C0,S2,B3,N+
2bo$bobo$o$bobo$3bo$o$2b2o$2bo$2bo$bo$4bo$3bo!

Code: Select all

x = 27, y = 27, rule = R3,C0,S2,B3,N+
11bo$8bobo$12bo$10bo$6b2obo3bo$6bo5bo$4b2obob2o$4bobo2bo$bo8bo3bo$4bob
2o3b2obo$bobo2bobo2b2o$o8b2obo$2bo2bo3b3o2bo$4bo9bo$8b2o2b2obobo$14bo
3b2o2bo$19bo3bo$14bo10bo$15bo5bo$15b2o3bo4bo$19bo$18bo3bo2b2o$15bo5bo$
16bo2$17bobobo$21bo!

I knew that the limit was that from the start!

[H. H. P. M. P. Cole]

(finally: I figured out how to use nbsearch2a)

p12:

Code: Select all

x = 13, y = 18, rule = R3,C2,S2,B3,N+
bob2o4bo$o2bo5bo2bo$3bo4b2obo13$o2bo5bo2bo$bob2o4bo$3bo4b2obo!

p8n, p8n+4, p12n, p12n+6, p24n, p24n-12 based on a modified version of the 'FWKnightship reaction':

Code: Select all

x = 323, y = 103, rule = R3,C2,S2,B3,N+
110bo8bo38bo58bo14bo49bo8bo$o3bob4o8b4obo3bo22bo3bob4o10bo3bob4o30bo8b
o38bo11bo46bo14bo49bo8bo$o26bo22bo19bo34b2o16b2o28b2o18bo3bo34b2o22b2o
39b2o16b2o$obo4bo12bo4bobo22bobo4bo12bobo4bo$o26bo22bo19bo32bo4bo12bo
4bo24bo4bo17b2o34bo4bo18bo4bo35bo4bo12bo4bo$9bo8bo40bo19bo30bo8bo38bo
11bo46bo14bo49bo8bo$o26bo22bo19bo99bo$9bo8bo40bo19bo$2bo4bobo8bobo4bo
26bo4bobo12bo4bobo$9bo8bo40bo19bo30bo2b3o42bo2b3o53bo2b3o59bo2b3o$4ob
o3bo8bo3bob4o22b4obo3bo10b4obo3bo2$106b2o14b2o30b2o17b2o118bo$215bo18b
o45bo$11b3o2bo44b3o2bo38bo2bo12bo2bo28bo2bo15bo2bo38bobo16bobo43bobo10b
obo$104bo4bo10bo4bo26bo4bo13bo4bo37bobo16bobo43bobo10bobo$102bo8bo6bo
8bo22bo8bo9bo8bo$10bo6bo42bo17bo23bo8bo6bo8bo22bo8bo9bo8bo37bo16bo47b
o10bo$o5b3o10b3o5bo22bo5b3o9bo5b3o27bo4bo10bo4bo26bo4bo13bo4bo$105bo2b
o12bo2bo28bo2bo15bo2bo40bo16bo47bo10bo$bo4bo14bo4bo24bo4bo12bo4bo$bo24b
o24bo17bo36b2o14b2o30b2o17b2o39bobo16bobo43bobo10bobo$bobo20bobo24bob
o15bobo142bobo16bobo43bobo10bobo$8bobo6bobo38bobo15bobo136bo18bo45bo$
10bo6bo42bo17bo214bo$5bo4bo6bo4bo32bo4bo12bo4bo2$3b3o5bo4bo5b3o28b3o5b
o9b3o5bo$bo24bo24bo17bo2$110bo14bo32bo58bo26bo37bo20bo$110bo14bo32bo17b
o40bo26bo37bo20bo$105b2o22b2o22b2o24bo3bo28b2o34b2o27b2o28b2o2$103bo4b
o18bo4bo18bo4bo23b2o28bo4bo30bo4bo23bo4bo24bo4bo$110bo14bo32bo17bo40b
o26bo37bo20bo$176bo2$o3bob4o12b4obo3bo18bo3bob4o14bo3bob4o$o30bo18bo23b
o35bo2b3o42bo2b3o53bo2b3o59bo2b3o$obo4bo16bo4bobo18bobo4bo16bobo4bo$o
30bo18bo23bo$9bo12bo36bo23bo22b2o20b2o24b2o23b2o124bo$o30bo18bo23bo140b
o30bo33bo$9bo12bo36bo23bo21bo2bo18bo2bo22bo2bo21bo2bo32bobo28bobo31bo
bo22bobo$2bo4bobo12bobo4bo22bo4bobo16bo4bobo20bo4bo16bo4bo20bo4bo19bo
4bo31bobo28bobo31bobo22bobo$9bo12bo36bo23bo18bo8bo12bo8bo16bo8bo15bo8b
o$4obo3bo12bo3bob4o18b4obo3bo14b4obo3bo18bo8bo12bo8bo16bo8bo15bo8bo31b
o28bo35bo22bo$104bo4bo16bo4bo20bo4bo19bo4bo$105bo2bo18bo2bo22bo2bo21b
o2bo34bo28bo35bo22bo2$11b3o2bo44b3o2bo39b2o20b2o24b2o23b2o33bobo28bob
o31bobo22bobo$214bobo28bobo31bobo22bobo$215bo30bo33bo$10bo10bo38bo21b
o222bo$o5b3o14b3o5bo18bo5b3o13bo5b3o2$bo4bo18bo4bo20bo4bo16bo4bo138bo
38bo25bo32bo$bo28bo20bo21bo143bo38bo25bo32bo$bobo24bobo20bobo19bobo34b
o20bo26bo53b2o46b2o15b2o40b2o$8bobo10bobo34bobo19bobo27bo20bo26bo23bo
$10bo10bo38bo21bo22b2o28b2o16b2o30bo3bo20bo4bo42bo4bo11bo4bo36bo4bo$5b
o4bo10bo4bo28bo4bo16bo4bo134bo38bo25bo32bo$103bo4bo24bo4bo12bo4bo29b2o
$3b3o5bo8bo5b3o24b3o5bo13b3o5bo26bo20bo26bo23bo$bo28bo20bo21bo108bo$217b
o2b3o59bo2b3o2$110bo2b3o42bo2b3o$317bo$215bo42bo21bo$106b2o26b2o18b2o
29b2o27bobo40bobo19bobo34bobo$214bobo40bobo19bobo34bobo$105bo2bo24bo2b
o16bo2bo27bo2bo$104bo4bo22bo4bo14bo4bo25bo4bo27bo40bo23bo34bo$o3bob4o
16b4obo3bo14bo3bob4o18bo3bob4o14bo8bo18bo8bo10bo8bo21bo8bo$o34bo14bo27b
o23bo8bo18bo8bo10bo8bo21bo8bo25bo40bo23bo34bo$obo4bo20bo4bobo14bobo4b
o20bobo4bo18bo4bo22bo4bo14bo4bo25bo4bo$o34bo14bo27bo26bo2bo24bo2bo16b
o2bo27bo2bo26bobo40bobo19bobo34bobo$9bo16bo32bo27bo126bobo40bobo19bob
o34bobo$o34bo14bo27bo27b2o26b2o18b2o29b2o28bo42bo21bo$9bo16bo32bo27bo
229bo$2bo4bobo16bobo4bo18bo4bobo20bo4bobo$9bo16bo32bo27bo$4obo3bo16bo
3bob4o14b4obo3bo18b4obo3bo4$11b3o2bo44b3o2bo3$10bo14bo34bo25bo$o5b3o18b
3o5bo14bo5b3o17bo5b3o2$bo4bo22bo4bo16bo4bo20bo4bo$bo32bo16bo25bo$bobo
28bobo16bobo23bobo$8bobo14bobo30bobo23bobo$10bo14bo34bo25bo$5bo4bo14b
o4bo24bo4bo20bo4bo2$3b3o5bo12bo5b3o20b3o5bo17b3o5bo$bo32bo16bo25bo!

For contrast, the original 'FWKnightship reaction':

P18n:

Code: Select all

x = 65, y = 79, rule = R3,C0,S2,B3,N+
6bob2obo23bob2obo$o9b3o5b3o2bo10b3o9bo$bobobobobobo23bobobobobobo$3o9b
o21bo9b3o$bob2obo10bo11bo10bob2obo2$15bo15bo$17bo11bo$19bo7bo$17bo11bo
$18bobo5bobo$16bo3bo5bo3bo$16bobo9bobo$19bo7bo$17bo11bo$19bo7bo$21bo3b
o2$19bo7bo12$6bob2obo32bob2obo$o9b3o5b3o2bo19b3o9bo$bobobobobobo32bobo
bobobobo$3o9bo30bo9b3o$bob2obo10bo20bo10bob2obo2$15bo24bo$17bo20bo$19b
o16bo$17bo20bo$18bobo14bobo$16bo3bo14bo3bo$16bobo18bobo$19bo16bo$17bo
20bo$19bo16bo$21bo12bo2$19bo16bo12$6bob2obo41bob2obo$o9b3o5b3o2bo28b3o
9bo$bobobobobobo41bobobobobobo$3o9bo39bo9b3o$bob2obo10bo29bo10bob2obo
2$15bo33bo$17bo29bo$19bo25bo$17bo29bo$18bobo23bobo$16bo3bo23bo3bo$16bo
bo27bobo$19bo25bo$17bo29bo$19bo25bo$21bo21bo2$19bo25bo!

Factorio Pattern Collection 3.0 will come out in late March or early April!

[Haycat2009]

Conjecture: Odd-cell still lifes are impossible in Factorio.

[confocaloid]

Conjecture: Odd-cell still lifes are impossible in Factorio.

Unless I'm missing something, here is a 21-bit still life:

Code: Select all

x = 16, y = 16, rule = R3,C0,S2,B3,N+
o2bo2bo2bo2bo2bo3$o14bo3$o14bo3$o2bo11bo2$3bo2bo$15bo$6bo2bo2$9bo2bo2bo!

[b-engine]

P3 wick:

Code: Select all

x = 128, y = 64, rule = R3,C2,S2,B3,N+:T128,64
126b2o$124b2o$122b2o$120b2o$118b2o$116b2o$114b2o$112b2o$110b2o$108b2o
$106b2o$104b2o$102b2o$100b2o$98b2o$96b2o$94b2o$92b2o$90b2o$88b2o$86b2o
$84b2o$82b2o$80b2o$78b2o$76b2o$74b2o$72b2o$70b2o$68b2o$66b2o$64b2o$62b
2o$60b2o$58b2o$56b2o$54b2o$52b2o$50b2o$48b2o$46b2o$44b2o$42b2o$40b2o$
38b2o$36b2o$34b2o$32b2o$30b2o$28b2o$26b2o$24b2o$22b2o$20b2o$18b2o$16b
2o$14b2o$12b2o$10b2o$8b2o$6b2o$4b2o$2b2o$2o!

I didn't find this in pattern collection, and it seems has no known finite stabilizations.

[H. H. P. M. P. Cole]

Since no one is doing the enumeration, I might as well do it by myself.

This is a compendium of all the objects I know of which have minpop 4 to 7. Please let me know if I missed any objects out.

Code: Select all

x = 264, y = 190, rule = R3,C2,S2,B3,N+
2o7bobo6bo2bo46b2o7b2o7bobo7b2o7bobo7b2o13b2o7b2o7bobo6b2o6b2o16bo$2o
7bobo6bo2bo45bo2bo5bo3bo4bo3bo4bo4bo4bobo6b2o15bobo6bo2bo5bo2bo6b2o6b
obo14bo$183bo3$183bo2$9bobo6bo2bo46b2o7b2o7bobo7b2o7bobo7b2o13b2o7b2o
7bobo6b2o6b2o2$9bobo6bo2bo45bo2bo5bo3bo4bo3bo4bo4bo4bobo6b2o15bobo6bo
2bo5bo2bo6b2o6bobo5$18bo2bo46b2o7b2o7bobo7b2o7bobo7b2o13b2o7b2o7bobo6b
2o6b2o3$18bo2bo45bo2bo5bo3bo4bo3bo4bo4bo4bobo6b2o15bobo6bo2bo5bo2bo6b
2o6bobo10$67b2obo5b2obo5b2obo$68b2o6bobo8b2o6$67b2obo5b2obo5b2obo2$68b
2o6bobo8b2o5$67b2obo5b2obo5b2obo3$68b2o6bobo8b2o10$42bo$2o16b2o21bob2o
22bo9bo7bo8bo11bo$obo16b2o21bo8bobo2bo11bo10bo5b2o10bo7b2o13b2o3bo6b2o
3bo5bobo2bo$b2o15bobo21bo8bo2bobo10bobo6b2o9bo6b2o7bo15bo3b2o6bo2bobo
6bobo2bo$68bobo7b2o7b2o7b2o5b2o6$2o16b2o7bobo21bobo2bo11bo10bo7bo9bo8b
o$o2bo15bobo7b2o36bo9bo7b2o7bo9bobo13b2o3bo6b2o3bo5bobo2bo$bobo14bo2b
o5bo2bo20bo2bobo10bobo6b2o7bo8b2o7bo$68bobo7b2o7b2o7b2o5bobo13bo3b2o6b
o2bobo6bobo2bo4$2o7b2o7b2o7bobo5bobo13bobo2bo$o2bo33b2o81b2o3bo6b2o3b
o5bobo2bo$9bo2bo6bobo7b2o37bo9bo8bo9bo$bobo6bobo5bo2bo5bo2bo4bo2bo12b
o2bobo10bo8bo10b2o7b2o$68bobo5bo2bo5bo8b2o23bo3b2o6bo2bobo6bobo2bo$67b
obo7b2o6b2o7bo6$67bo8bo10bo6bo$68bo9bo7b2o8b2o$68bobo5bo2bo5bo8b2o$67b
obo7b2o6bo2bo8bo6$69bo8bo$68bo7bobo$69b2o6bo$67b2o8bobo6$68bo9bo$69bo
8b2o$69b2o6bo$67b2o7b2o6$68bo25b2o$67b2o25bo$69b2o26bo$69bo26b2o6$69b
o24bobo$67bobo24bo$68bobo26bo$68bo26bobo12$79b2o22bobo10b2o29bobo7b2o
17bobo9b2o19bo12bo15bo3bo15b2o3bo$207bo4bo7b2o2b2o37bo$76bo24bo11bo31b
o8bo52b2o2b2o7bo4bo13b2o3bo11bo3bo2bo$77bo3bo20bo3bo7bo4bo26bo2bo5bo2b
o16bobobo7bo2b2o$76bo24bo11bo31bo8bo87b2o$76bo24bo11bo31bo8bo$176bobo
9b2o5$175bobobo7bo2b2o17bo12bo15bo3bo$69b2o8b2o23bobo20bobo9b2o7bobo$
207bo4bo7b2o2b2o$66bo9bo24bo22bo11bo8bo30bo11bo18b2o2b2o7bo4bo13b2o3b
o$68bo2bo6bo3bo20bo3bo18bobo9bobo6bo2bo$66bo9bo24bo22bo11bo8bo$66bo9b
o24bo22bo11bo8bo29bobobo7bo2b2o50b2o6$113bo95bo29bo2bo$117b2o68bo2b2o
15bo4bo$113bobo4bo$113bo93b2o2b2o26bo2bobo$189bo2$242bobo$187bo2b2o2$
76bo11bo12bo11bo$80b2o11b2o10bobo10b2o$76bo2bo3bo4bo2bo3bo5bo2bo3bo4b
o2bo4bo$76bo11bo12bo11bo6$77b2o$79bo22bobo$76bo3bo22bo$79bo21bo3bo$79b
o23bo$103bo6$77b2o23bobo$79bo23bo$79bo23bo$76bo3bo20bo3bo$79bo23bo!

[b-engine]

P2 wick:

Code: Select all

x = 48, y = 48, rule = R3,C2,S2,B3,N+:T48,48
46b2o$45bo$45bo$43b2o$42bo$42bo$40b2o$39bo$39bo$37b2o$36bo$36bo$34b2o
$33bo$33bo$31b2o$30bo$30bo$28b2o$27bo$27bo$25b2o$24bo$24bo$22b2o$21bo
$21bo$19b2o$18bo$18bo$16b2o$15bo$15bo$13b2o$12bo$12bo$10b2o$9bo$9bo$7b
2o$6bo$6bo$4b2o$3bo$3bo$b2o$o$o!

[AlephAlpha]

2c/4o:

Code: Select all

x = 7, y = 5, rule = R3,C0,S2,B3,N+
bo$obo2b2o$3bo$bob2obo$bobo2bo!

3c/4o partial (can't find a way to end this pattern):

Code: Select all

x = 91, y = 10, rule = R3,C0,S2,B3,N+
19bobo49bo17b2o$12b2o3bo3b2o38bo2bo22bo$13bobo6b2o4b2o4bobo2b2o12bobob
5o2bobo2bo3bo12bo$3bob2obo5bo6bo4bo3bobo5bo14bo3bo11bobo2bobo2bo2bo$3o
8bo7bo3bo4bob2o2bobo13bobob3o3bo13bo2bo5b2o5bo$3b3o2bo3b3o2b3o3bo6bobo
10b2o6b2o9bo11bo2bo10bo$3b2o3b2o6bo2bo2b3o4bo8bo4bo11bo4b3obo5bo3bobo
5b2o2b2o$bo5bobo3bo6b4ob2o4bobo10bo3bob2obobo2bo3bo6bo16bo$6bobo2bob2o
14bo3bo3bo2b2obo10bobo$29bo7bo2bo4bo2bo8bobo2bo!

[HerscheltheHerschel]

154M:

Code: Select all

x = 18, y = 28, rule = R3,C0,S2,B3,N+
4bo$bobo$bo2bo$2b3o4$11bo2bo3$12bobo2$2o$2o2$14b3o$13bo3bo$13bo3bo$4b
2o7bo3bo$14b3o2$4b2o2$10b3o$9bo3bo$9bo3bo$9bo3bo$10b3o!

[H. H. P. M. P. Cole]

Time to revive this thread.

p4, p6

Code: Select all

x = 29, y = 36, rule = R3,C2,S2,B3,N+
o2bo2bo2bo11b2o5bo$7bo$2bo19bob2o$o2bo2bo2bo$23b2obo2$20bo5b2o5$o3bo4b
o3bo$3bobo2bobo10b2o5bo$3bobo2bobo11bob2o$o3bo4bo3bo2$23b2obo$20bo5b2o
4$o2bo$b3o$5b3o2$5bo2bo6$o2bo$b3o2$5b3o$5bo2bo!

The p6 reduces the p12n and p12n+6 factorial shuttles (based on the FWKnightship reaction):

Code: Select all

x = 114, y = 79, rule = R3,C2,S2,B3,N+
7bo8bo65bo$7bo8bo65bo11bo$2b2o16b2o55b2o18bo3bo2$o4bo12bo4bo51bo4bo17b
2o$7bo8bo65bo11bo$94bo3$7bo2b3o69bo2b3o4$o3bo14bo3bo51bo3bo15bo3bo$o5b
o10bo5bo51bo5bo13bo5bo$o3bo14bo3bo51bo3bo15bo3bo$o5bo10bo5bo51bo5bo13b
o5bo$2bo3bo10bo3bo55bo3bo15bo3bo$o5bo10bo5bo51bo5bo13bo5bo$2bo3bo10bo
3bo55bo3bo15bo3bo11$7bo14bo59bo$7bo14bo59bo17bo$2b2o22b2o49b2o24bo3bo
2$o4bo18bo4bo45bo4bo23b2o$7bo14bo59bo17bo$100bo3$7bo2b3o69bo2b3o4$o3b
o20bo3bo45bo3bo21bo3bo$o5bo16bo5bo45bo5bo19bo5bo$o3bo20bo3bo45bo3bo21b
o3bo$o5bo16bo5bo45bo5bo19bo5bo$2bo3bo16bo3bo49bo3bo21bo3bo$o5bo16bo5b
o45bo5bo19bo5bo$2bo3bo16bo3bo49bo3bo21bo3bo10$7bo20bo53bo$7bo20bo53bo
23bo$2b2o28b2o43b2o30bo3bo2$o4bo24bo4bo39bo4bo29b2o$7bo20bo53bo23bo$106b
o3$7bo2b3o69bo2b3o4$o3bo26bo3bo39bo3bo27bo3bo$o5bo22bo5bo39bo5bo25bo5b
o$o3bo26bo3bo39bo3bo27bo3bo$o5bo22bo5bo39bo5bo25bo5bo$2bo3bo22bo3bo43b
o3bo27bo3bo$o5bo22bo5bo39bo5bo25bo5bo$2bo3bo22bo3bo43bo3bo27bo3bo!

EDIT: p4

Code: Select all

x = 13, y = 3, rule = R3,C2,S2,B3,N+
o2bo2bo$o2bo5bo2bo$6bo2bo2bo!

Looks like this rule needs more apgsearching...

TODO:
- wait for the factoriosrc GUI

- apgsearch EVERY SYMMETRY!!!

- find a p2 with a non-constant population (or prove that there are none)
- find more periods of height-2 oscillators (or prove that there are no more)
- find more periods of oscillators in B3/S2V for emulation (or prove that there are no more)
- find a statored nontrivial p6
- find new periods (ideally prime), sparkers (strong enough to be used in hasslers)

- find factorial-speed (since lightspeed is 3c for R3 Cross, I might as well use factorial-speed) spaceships from c/1o to 8c/8o
- find a stable eater for the factorialship
- make an Amling-style collection of small non-c/1o ships
- find new speeds

- find common evolutionary sequences in Factorio

Engineering challenge:
- find infinite growth of any kind (particularly guns)

EDIT3:

Proof that there are only 4 width-2 strict SLs in Factorio (similar to my proof concerning width-2 SLs in Life). This is abridged to only consider the steps when S2 is applied to some cell(s) in the piecewise-generated diagram.

Code: Select all

x = 86, y = 47, rule = B/S012345678History
10.B58.A$10.A58.A7$2B8.2B2F2.2B2F45.A2BA3.A2BD$AB8.AB2A2.AC2A38.A2B4.
A2B4.D2B$58.A2B$22.B3AF3.BA2DF30.E2BE$22.AB2AF3.AB2DF30.E2BE2$BA8.BA2B
2.BD2B2.B2ABA3.CADBA$AB8.AB2A2.AB2A2.AB2AF3.ABDAF37.ABA2B3.EBE2BE$72.
A2BAB3.E2BEBE$22.BAB2A3.CABDA$22.AB2AF3.ABADF18.AB3.ABA4.ABAB3.ABABA3.
ACABA$53.AB3.A2B4.A2BA3.A2BAB3.ABCAF2$10.3B3.3B53.ABA2B3.ABACF$10.3A2.
C3AC52.A2B2A3.ACB2A2$22.2B3AF2.CBADAF22.EBE$22.2ABA2F2.2ABD2F22.EBE2$
2B8.2BAB2.2BDB2.2B2ABA2.2CADBA$2A8.2ABA2.2ABA2.2ABA2F2.2ABD2F$58.A2B4.
A2BA3.A2B2A3.ABC2A$22.2BAB2A2.BCAB2A22.2AB4.2A2B3.2A2BA3.2ACBA$22.2AB
A2F2.2ABA2F2$53.AB$10.BAFB2.BDFB33.2A$10.3AB.CADAC45.ABAB3.ABABA3.ABA
CA$BA2.BD59.2A2B3.2A2BA3.2ABCA$2A2.DA$10.BABF2.BABF38.ABA4.ABAF3.ABAF
$10.2ABA2.ADBA38.2AB4.2ABA3.DABA2$65.AB2A3.DBAD$65.2ABA3.DABD3$53.2E$
53.2E!

I hope the proof above is convincing: if it is not, please tell me (through PM or post) which parts of the proof need working on, and how they could possibly be improved.

EDIT4: request by confocaloid through PM to change confusing terminology

[b-engine]

(strictly volatile) p6:

Code: Select all

x = 10, y = 3, rule = R3,C2,S2,B3,N+
o2bo$o5bo2bo$3bo2bo2bo!

[H. H. P. M. P. Cole]

(anyone?)

factoriosrc gave me another two width-2 c/1o, giving us this set of width-2 c/1o:

Code: Select all

x = 44, y = 17, rule = R3,C2,S2,B3,N+
o5bo11bo6bo9bo6bo$o5bo11bo6bo9bo6bo$o5bo11b2o5b2o8bo6bo$36bo6bo$19bo6b
o$o5bo12bo6bo8b2o5b2o$18bo6bo$36bo6bo$7bo11bo6bo8bo6bo$7bo17bo$6b2o$6b
o29bo6bo$35bo6bo$36bo6bo2$42bo$42bo!

Also, confocaloid taught me how to apgsearch (yay!), so I have completed the set of the 16 standard symmetries, as well as apgsearched 2x128,1x256, and iC1. There were too many new oscillators that were discovered (especially p4s). Search the Catagolue if you're interested: I am making a pattern collection of the currently known oscillators and ships.

EDIT: new p2s

Code: Select all

x = 30, y = 23, rule = R3,C2,S2,B3,N+
2bobo4bobo6b2o5b2o$3b3o3b3o7b3o3b3o6$b2o3bo3b2o7b2o3bo3b2o$bobo5bobo7b
obo4bo2bo6$bobo2bo3b2o7bobo2bo3b2o$bobo5bobo7bobo4bo2bo6$bobo2bo3b2o7b
obo2bo3b2o$o3bo4bobo6bo3bo3bo2bo!

[lemon41625]

Some new ships I found while testing out a newer and faster version of cfind I'm working on

c/2o

Code: Select all

x = 9, y = 8, rule = R3,C2,S2,B3,N+
o7bo$o7bo2$ob2ob2obo$2b2ob2o$4bo$bo5bo$o7bo!

Code: Select all

x = 0, y = 0, rule = R3,C2,S2,B3,N+
3bo$2b3o$3bo2$b2ob2o2$2b3o2$3bo$3bo2$o2bo2bo$o5bo2$bobobo2$3bo3$bobobo
$bo3bo2$2bobo2$2bobo$bo3bo!

Code: Select all

x = 0, y = 0, rule = R3,C2,S2,B3,N+
4bo$3b3o$4bo2$2b2ob2o2$3b3o2$4bo$4bo2$bo2bo2bo$bo5bo2$2bobobo2$4bo3$2b
obobo$2b2ob2o2$3b3o$2bobobo$ob2ob2obo$bo5bo$o3bo3bo$o2b3o2bo!

[H. H. P. M. P. Cole]

Some new ships I found while testing out a newer and faster version of cfind I'm working on

more c/2o found using factoriosrc:

Code: Select all

x = 106, y = 13, rule = R3,C2,S2,B3,N+
3bo3bo13bo10bo3bo11bo3bo13bo12bo7bo8bo6bo$3bo3bo13bo10bo3bo11bo3bo13b
o12bo7bo8bo2bobobo$96bo6bo$o2bo3bo2bo9b3o6bo2bo3bo2bo5bo2bo3bo2bo9b3o
11bob2ob2obo12bo$4bobo13bobo10bobo13bobo13bobo13b2ob2o12b2ob2o$o9bo5b
o2bo3bo5bo9bo5bo9bo5bo2bo3bo2bo11bo$21bo14bo2bo12bo2bo10bo13bo5bo9bo6b
o$16bo19bo15bo8bo9bo7bo7bo8bo6bo$o9bo10bo7bo6b2o7bo6bobo11bo30bo6bo$o
9bo18bo15bo37bo$16bo44bo9bo11b3o10bo2bobobo$16bo4bo39bo4bo4bo9bo6bo6b
o9bo$21bo44bo!

EDIT:

Code: Select all

x = 145, y = 56, rule = R3,C2,S2,B3,N+
bo15bob2o7bob2o6bob2o9bob2o19bo20bo$bo14bobo8bobo7bobo10bobo21bo20bo$
16bobo8bobo7bobo10bobo$b2obo11bo10bo22bo22b3o18b3o$2bobo13bobo8bobo5b
obobo10bobo18bobo18bobo$69bo2bo3bo13bo2bo3bo2bo$3bo35bo34bo20bo$bo13b
o2bo7bo2bo19bo2bo16bo20bo9bo$5bo31bo2bo27bo5bo14bo5bo5bo$3bobo12bo10b
o9b2o11bo$5bo9bo5bo4bo5bo6bo9bo3bo14b2o19b2o9b2o$o4bo42bob2o3bo18bo20b
o$2b2o14bo2bo7bo2bo7bo2bo8bo2bo13bo4bo15bo4bo4bo$2bo$21bo10bo10bo6b2o
17bo20bo9bo$o2bo17bo11bo6bo28bo20bo9bo$5bo26bo$o32bo9bo$5bo37bo$32bo$
5bo26bo41bo20bo19bo$5bo68bo20bo19bo2$73b3o18b3o17b3o$73bobo18bobo17bo
bo$69bo2bo3bo13bo2bo3bo2bo9bo2bo3bo2bo$28bob2o42bo20bo19bo$27bobo39bo
20bo9bo9bo9bo$27bobo37bo6bo13bo6bo5bo6bo6bo6bo$27bo$29bobo35bobo18bob
o9b2o6bobo9bobo$74bo20bo19bo$69bo4bo15bo4bo4bo9bo4bo4bo$26bo2bo$69bo20b
o9bo9bo9bo$29bo39bo20bo9bo9bo9bo$26bo5bo2$29bo2bo2$32bo41bo20bo19bo20b
o$34bo39bo20bo19bo20bo$32bo$34bo38b3o18b3o17b3o18b3o$73bobo18bobo17bo
bo18bobo$32bo36bo2bo3bo13bo2bo3bo2bo9bo2bo3bo2bo10bo2bo3bo2bo$32bo41b
o20bo19bo20bo$69bo20bo9bo9bo9bo10bo9bo$66bo7bo12bo7bo5bo5bo7bo6bo5bo7b
o7bo2$66bo2bo17bo2bo9b2o5bo2bo9bobo5bo2bo9bo2bo$74bo20bo19bo20bo$69bo
4bo15bo4bo4bo9bo4bo4bo10bo4bo4bo2$69bo20bo9bo9bo9bo10bo9bo$69bo20bo9b
o9bo9bo10bo9bo!

(is Factorio dead?)

EDIT2 (22/3/24):

Two MASSIVE c/3o, also the ones with the lowest width (5):

Code: Select all

x = 22, y = 68, rule = R3,C2,S2,B3,N+
2bo16bo$2obo13b2obo$2o15b2o$o16bo$bo16bo2$2bo16bo3$bo16bo$bo16bo$bo2b
o13bo2bo$bo2bo13bo2bo2$bo16bo3$4bo16bo4$2bo16bo$2bobo14bobo$2bobo14bo
bo3$2bo16bo$obo14bobo$o16bo2$2bo16bo3$o16bo$2bobo14bobo$bobo14bobo$2b
o16bo$2bo16bo$b3o14b3o3$o16bo3$o16bo$o16bo4$o3bo12bo3bo$o3bo12bo3bo$o
3bo12bo3bo$2ob2o12b2ob2o$o3bo12bo3bo$21bo$4bo3$4bo$4bo16bo$4bo$21bo$21b
o2$bobo$obo18bo$o17bob2o$4bo12b2ob2o!

A powerful 2c/3o dot-sparker:

Code: Select all

x = 50, y = 8, rule = R3,C2,S2,B3,N+
3b2o3b2o3b2o6b2obo16b2o6bo$5b2o5bob2o3bo23bo$bo10bo6bo4bobo19bo$3b3o5b
o6bo6bo5bo12b2obo$11bo7b2o3bo8bob2o2b2o$3o3bo10b2o6b2o4bobo9bo$6bo2b2o
13bo7bo2bo5bo$7bo17bo2bo6bobo5bo!

FWKnightship-reaction adjustable ship, anyone?

Code: Select all

x = 17, y = 22, rule = R3,C2,S2,B3,N+
5bo$b2o11bo$2b2o8bobobo$4bo6bob2obo$o2bo9b3o$bo2bo7b2o2bo$o11bobobo$5b
o$16bo$15bo$2o13bo$bo$bo13bo$15bo$15bo2$8bo$8bo$8bo3$8bo!

(if there is a backend, the backend should be c/5o or slower. To make this an adjustable ship, the frontend should also move at c/5o or slower.)

The first construction in Factorio that is neither an oscillator or a ship, an ever-growing shuttle:

Code: Select all

x = 36, y = 17, rule = R3,C2,S2,B3,N+
2b2ob2obo16bo3bobo$4bo4b2ob3o8b3o4bo3bo$b4obo26b2o$3b3o25bobo$2bo2b2o
23bobo$3bo24bo6bo3$20bo2b3o3$o6bo24bo$3bobo23b2o2bo$2bobo25b3o$b2o26b
ob4o$bo3bo4b3o8b3ob2o4bo$4bobo3bo16bob2ob2o!

I expected this to happen, yet I never expected this to happen...

Code: Select all

x = 30, y = 20, rule = R3,C2,S2,B3,N+
19bo3bobo$o4bobo9b3o4bo3bo$7bo19b2o$2b2o3bo17bobo$24bobo$22bo6bo3$14b
o2b3o3$o25bo$6bo16b2o2bo$4bobo17b3o$2bo20bob4o$2bobo10b3ob2o4bo$4bo16b
ob2ob2o$obo$o$6bo!

This shuttle reaches its minpop of 59 at generations 36*2^n-31 for n = 0, 1, 2...

[H. H. P. M. P. Cole]

Sorry for doubleposting, but a few new updates on ship tech:

EDITS FROM THE PREVIOUS POST

Please see the edit 2 from the previous post - it describes new ships I found using factoriosrc, as well as new constructions.

NEW SHIPS

The slender c/3o ships have at least 16 variants each:

Code: Select all

x = 81, y = 68, rule = R3,C2,S2,B3,N+
2bo20bo20bo14bo14bo$2obo17b2obo17b2obo11b2obo11b2obo$2o19b2o19b2o13b2o
13b2o$o20bo20bo14bo14bo$bo20bo20bo14bo14bo2$2bo20bo20bo14bo14bo3$bo20b
o20bo14bo14bo$bo20bo20bo14bo14bo$bo2bo17bo2bo17bo2bo11bo2bo11bo2bo$bo
2bo17bo2bo17bo2bo11bo2bo11bo2bo2$bo20bo20bo14bo14bo3$4bo20bo20bo14bo14b
o4$2bo24bo15bo15bo14bo$2bobo20bobo15bo2bo12bobo12bobo$2bobo20bobo15bo
2bo12bobo12bobo3$2bo24bo15bo15bo14bo$obo24bobo11bobo13bobo12bobo$o28b
o11bo15bo14bo2$2bo24bo15bo15bo14bo3$o28bo11bo15bo14bo$2bobo20bobo15bo
bo13bobo12bobo$bobo22bobo13bobo13bobo12bobo$2bo24bo15bo15bo14bo$2bo24b
o15bo15bo14bo$b3o22b3o13b3o13b3o12b3o3$o28bo11bo15bo14bo3$o28bo11bo15b
o14bo$o28bo11bo15bo14bo4$o3bo20bo3bo11bo3bo7bo3bo14bo3bo$o3bo20bo3bo11b
o3bo7bo3bo14bo3bo$o3bo20bo3bo11bo3bo7bo3bo14bo3bo$2ob2o20b2ob2o11b2ob
2o7b2ob2o14b2ob2o$o3bo20bo3bo11bo3bo7bo3bo14bo3bo2$4bo20bo19bo7bo22bo
3$4bo20bo19bo7bo22bo$4bo20bo19bo7bo22bo$4bo20bo19bo7bo22bo4$bobo22bob
o13bobo9bobo20bobo$obo24bobo11bobo11bobo20bobo$o28bo11bo15bo22bo$4bo20b
o19bo7bo22bo!

The first c/3o ship above has four places in which it can change configuration: switch enantiomer, expand, switch enantiomer, switch enantiomer. This gives a total of 16 variants of the same ship. The same configuration changes can apply to the second narrow c/3o.

Also, C/3O EXPLOSION:

Code: Select all

x = 352, y = 79, rule = R3,C2,S2,B3,N+
2bo12bo12bo12bo12bo12bo11bo11bo11bo12bo11bo10bo10bo10bo10bo9bo9bo8bo9b
o10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo12bo11bo$2obo9b2obo9b2obo9b2ob
o9b2obo9b2obo8b2obo8b2obo8b2obo9b2obo8b2obo7b2obo7b2obo7b2obo7b2obo6b
2obo6b2obo5b2obo6b2obo7b2obo7b2obo7b2obo7b2obo7b2obo6b2obo6b2obo6b2ob
o6b2obo6b2obo6b2obo7b2o10b2o$2o11b2o11b2o11b2o11b2o11b2o10b2o10b2o10b
2o11b2o10b2o9b2o9b2o9b2o9b2o8b2o8b2o7b2o8b2o9b2o9b2o9b2o9b2o9b2o8b2o8b
2o8b2o8b2o8b2o8b2o10b2o10b2o$o12bo12bo12bo12bo12bo11bo11bo11bo12bo11b
o10bo10bo10bo10bo9bo9bo8bo9bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo13b
o11bo$bo12bo12bo12bo12bo12bo11bo11bo11bo12bo11bo10bo10bo10bo10bo9bo9b
o8bo9bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo8bo2bo8bo2bo$335bo2bo8bo
2bo$2bo12bo12bo12bo12bo12bo11bo11bo11bo12bo11bo10bo10bo10bo10bo9bo9bo
8bo9bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo7bo11bo$339bo11bo2$bo12bo
12bo12bo12bo12bo11bo11bo11bo12bo11bo10bo10bo10bo10bo9bo9bo8bo9bo10bo10b
o10bo10bo10bo9bo9bo9bo9bo9bo9bo$bo12bo12bo12bo12bo12bo11bo11bo11bo12b
o11bo10bo10bo10bo10bo9bo9bo8bo9bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9b
o8b2o10b2o$bo2bo9bo2bo9bo2bo9bo2bo9bo2bo9bo2bo8bo2bo8bo2bo8bo2bo9bo2b
o8bo2bo7bo2bo7bo2bo7bo2bo7bo2bo6bo2bo6bo2bo5bo2bo6bo2bo7bo2bo7bo2bo7b
o2bo7bo2bo7bo2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo11bo$bo2bo9bo2b
o9bo2bo9bo2bo9bo2bo9bo2bo8bo2bo8bo2bo8bo2bo9bo2bo8bo2bo7bo2bo7bo2bo7b
o2bo7bo2bo6bo2bo6bo2bo5bo2bo6bo2bo7bo2bo7bo2bo7bo2bo7bo2bo7bo2bo6bo2b
o6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo6bo11bo2$bo12bo12bo12bo12bo12bo11bo11b
o11bo12bo11bo10bo10bo10bo10bo9bo9bo8bo9bo10bo10bo10bo10bo10bo9bo9bo9b
o9bo9bo9bo2$335bo11bo$4bo12bo12bo12bo12bo12bo11bo11bo11bo12bo11bo10bo
10bo10bo10bo9bo9bo8bo9bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo$337bob
o9bobo$336bobo9bobo$337bo11bo$2bo12bo11bo12bo12bo12bo11bo11bo12bo12bo
11bo10bo11bo10bo10bo9bo9bo8bo8bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9b
o10bo11bo$2bobo10bobo9bo2bo9bo2bo9bo2bo9bo2bo8bo2bo8bo2bo9bobo10bobo9b
obo8bobo9b2o9b2o9b2o8b2o8b2o7b2o7bobo8bobo8bobo8bobo8bobo8bobo7bobo7b
obo7bobo7bobo7bobo7bobo7b3o9b3o$2bobo10bobo9bo2bo9bo2bo9bo2bo9bo2bo8b
o2bo8bo2bo9bobo10bobo9bobo8bobo9b2o9b2o9b2o8b2o8b2o7b2o7bobo8bobo8bob
o8bobo8bobo8bobo7bobo7bobo7bobo7bobo7bobo7bobo2$335bo11bo$2bo12bo11bo
12bo12bo12bo11bo11bo12bo12bo11bo10bo11bo10bo10bo9bo9bo8bo8bo10bo10bo10b
o10bo10bo9bo9bo9bo9bo9bo9bo$obo10bobo193bobo8bobo8bobo8bobo8bobo8bobo
7bobo7bobo7bobo7bobo7bobo7bobo$o12bo13bo12bo12bo12bo11bo11bo12bo12bo11b
o10bo11bo10bo10bo9bo9bo8bo6bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo10b
o11bo$335bo11bo$2bo12bo195bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo$27b
o12bo12bo12bo11bo11bo12bo12bo11bo10bo11bo10bo10bo9bo9bo8bo2$o12bo195b
o10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo10bo3bo7bo3bo$2bobo10bobo9bo12b
o12bo12bo11bo11bo12bo12bo11bo10bo11bo10bo10bo9bo9bo8bo8bobo8bobo8bobo
8bobo8bobo8bobo7bobo7bobo7bobo7bobo7bobo7bobo6bo3bo7bo3bo$bobo10bobo193b
obo8bobo8bobo8bobo8bobo8bobo7bobo7bobo7bobo7bobo7bobo7bobo7bo3bo7bo3b
o$2bo12bo195bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo8b2ob2o7b2ob2o$2b
o12bo12bo12bo13bo12bo11bo11bo9bo12bo13bo10bo8bo10bo10bo9bo10bo8bo9bo10b
o10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo8bo3bo7bo3bo$b3o10b3o11bo12bo13bo12b
o11bo11bo9bo12bo13bo10bo8bo10bo10bo9bo10bo8bo8b3o8b3o8b3o8b3o8b3o8b3o
7b3o7b3o7b3o7b3o7b3o7b3o23bo$339bo$27bo12bo12bo12bo11bo11bo12bo12bo11b
o10bo11bo10bo10bo9bo9bo8bo$o12bo13bo12bo12bo12bo11bo11bo12bo12bo11bo10b
o11bo10bo10bo9bo9bo8bo6bo10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo$27bo12b
o12bo12bo11bo11bo12bo12bo11bo10bo11bo10bo10bo9bo9bo8bo136bo$339bo11bo
$o12bo14bo12bo13bo12bo11bo11bo9bo12bo13bo10bo8bo10bo10bo9bo10bo8bo7bo
10bo10bo10bo10bo10bo9bo9bo9bo9bo9bo9bo14bo$o12bo13bo12bo12bo12bo11bo11b
o12bo12bo11bo10bo11bo10bo10bo9bo9bo8bo6bo10bo10bo10bo10bo10bo9bo9bo9b
o9bo9bo9bo26bo$27bo12bo12bo12bo11bo11bo12bo12bo11bo10bo11bo10bo10bo9b
o9bo8bo148bo$27bo12bo12bo12bo11bo11bo12bo12bo11bo10bo11bo10bo10bo9bo9b
o8bo$336bobo$o3bo8bo3bo191bo3bo6bo3bo6bo3bo6bo3bo6bo3bo6bo3bo5bo3bo5b
o3bo5bo3bo5bo3bo5bo3bo5bo3bo6bobo13bo$o3bo8bo3bo9b3o10b3o10b3o10b3o9b
3o9b3o9b3o10b3o9b3o8b3o8b3o8b3o8b3o7b3o7b3o6b3o6bo3bo6bo3bo6bo3bo6bo3b
o6bo3bo6bo3bo5bo3bo5bo3bo5bo3bo5bo3bo5bo3bo5bo3bo6bo12bob2o$o3bo8bo3b
o191bo3bo6bo3bo6bo3bo6bo3bo6bo3bo6bo3bo5bo3bo5bo3bo5bo3bo5bo3bo5bo3bo
5bo3bo10bo7b2ob2o$2ob2o8b2ob2o10b2o11b2o11b2o11b2o10b2o10b2o9bobo10bo
bo9bobo8bobo8b2o9b2o9b2o8b2o8b2o7b2o7b2ob2o6b2ob2o6b2ob2o6b2ob2o6b2ob
2o6b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o5b2ob2o$o3bo8bo3bo191bo3b
o6bo3bo6bo3bo6bo3bo6bo3bo6bo3bo5bo3bo5bo3bo5bo3bo5bo3bo5bo3bo5bo3bo$17b
o260bo9bo9bo9bo9bo9bo$4bo208bo10bo10bo10bo10bo10bo$29bo12bo11bo12bo11b
o11bo12bo12bo9bo10bo11bo10bo10bo9bo8bo8bo$29bo12bo11bo12bo11bo11bo12b
o12bo9bo10bo11bo10bo10bo9bo8bo8bo$4bo24bo12bo11bo12bo11bo11bo12bo12bo
9bo10bo11bo10bo10bo9bo8bo8bo12bo10bo10bo10bo10bo10bo$4bo12bo11bo12bo11b
o12bo11bo11bo12bo12bo9bo10bo11bo10bo10bo9bo8bo8bo12bo10bo10bo10bo10bo
10bo9bo9bo9bo9bo9bo9bo$4bo208bo10bo10bo10bo10bo10bo$17bo8b2o11bobo10b
2o12bo2bo7bo2bo11b2o7b2o11bobo11bobo9b2o6b2o10bo2bo6bo2bo9b2o7bobo7b2o
74bo9bo9bo9bo9bo9bo$17bo9bobo11b2o10b2o11b2o11b2o10b2o9bobo11b2o9b2o9b
obo8b2o9b2o10b2o8b2o7b2o7bobo75bo9bo9bo9bo9bo9bo$26b2o11bobo10b2o12bo
2bo7bo2bo11b2o7b2o11bobo11bobo9b2o6b2o10bo2bo6bo2bo9b2o7bobo7b2o$bobo
23bo13bo11bo12bo13bo11bo9bo13bo11bo11bo8bo10bo12bo9bo8bo9bo7bobo8bobo
8bobo8bobo8bobo8bobo$obo14bo9bo13bo11bo12bo13bo11bo9bo13bo11bo11bo8bo
10bo12bo9bo8bo9bo6bobo8bobo8bobo8bobo8bobo8bobo11bo9bo9bo9bo9bo9bo$o13b
ob2o8bo3bo8bo3bo8bo3bo8bo3bo7bo3bo7bo3bo7bo3bo8bo3bo7bo3bo6bo3bo6bo3b
o6bo3bo6bo3bo5bo3bo5bo3bo4bo3bo5bo10bo10bo10bo10bo10bo10bob2o6bob2o6b
ob2o6bob2o6bob2o6bob2o$4bo8b2ob2o9bo13bo11bo12bo13bo11bo9bo13bo11bo11b
o8bo10bo12bo9bo8bo9bo10bo10bo10bo10bo10bo10bo5b2ob2o5b2ob2o5b2ob2o5b2o
b2o5b2ob2o5b2ob2o$28bo11bo14bo12bo9bo11bo12bo11bo13bo9bo11bo10bo8bo9b
o11bo7bo2$30bo12bo12bo8bo15bo7bo15bo12bo7bo10bo14bo6bo14bo5bo9bo8bo$27b
o13bo11bo12bo13bo11bo9bo13bo11bo11bo8bo10bo12bo9bo8bo9bo10bo10bo10bo10b
o10bo10bo$212b2o8bobo9b2o7bo2bo8bobo7bo2bo$212b2o8bobo9b2o7bo2bo8bobo
7bo2bo9bo9bo9bo9bo9bo9bo$211bo11bo8bo12bo8bo11bo11bo9bo9bo9bo9bo9bo$212b
o9bo11bo8bo11bo9bo10bobo8b2o6bo2bo8b2o6bo2bo7bobo$212bo9bo11bo8bo11bo
9bo10bo10bo7bo11bo7bo10bo$213bo10bo10bo10bo10bo10bo$276b2o8b2o7bobo7b
obo7b2o8b2o!

C/2O EXPLOSION:

Code: Select all

x = 93, y = 30, rule = R3,C2,S2,B3,N+
2obo5b2obo5b2obo5b2obo5b2obo8b2obo6b2obo6b2obo6b2obo6b2obo$2bobo6bobo
6bobo6bobo6bobo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo$2bobo6bobo6bobo6bobo6bo
bo6bo2bo6bo2bo6bo2bo6bo2bo6bo2bo2$obobo4bobobo4bobobo4bobobo4bobobo6b
o2b2o5bo2b2o5bo2b2o5bo2b2o5bo2b2o2$2bo8bo8bo8bo8bo11bo9bo9bo9bo9bo2$b
o2bo5bo2bo5bo2bo5bo2bo5bo2bo6b2o8b2o8b2o8b2o8b2o$b2o7b2o7b2o7b2o7b2o9b
obo7bobo7bobo7bobo7bobo$2bo8bo8bo8bo8bo11bo9bo9bo9bo9bo2$bo8bo8bo8bo8b
o10bo9bo9bo9bo9bo4$bobo6bobo6bobo6bo2bo5bo2bo7b2o8b2o8b2o8bo2bo6bo2bo
$bo8bo8bo8bo8bo10bo9bo9bo9bo9bo$5bo8bo8bo8bo8bo10bo9bo9bo9bo9bo$5bo8b
o8bo8bo8bo10bo9bo9bo9bo9bo$3bo8bo8bo9bo8bo8bo9bo9bo11bo9bo2$3bo8bo8bo
9bo8bo8bo9bo9bo11bo9bo$bo8bo8bo8bo8bo10bo9bo9bo9bo9bo2$o2bo7b2o8b2o6b
obo7b2o6bobo9b2o8bobo7bobo8b2o2$o2bo7b2o8b2o6bobo7b2o6bobo9b2o8bobo7b
obo8b2o2$o10bo10bo6bo9bo7bo12bo10bo7bo10bo!

FPC 3.0 will come out soon!

[H. H. P. M. P. Cole]

FACTORIO STATUS REPORT: JAN-MAR 2024

Another three months of exploring Factorio resulted, inevitably, in more discoveries. Frankly I thought the rate of discoveries would be much higher, but that's Life for you. (ba dum tsss)

NEW DEVELOPMENTS

1 Jan: squareroot12621 posted a proof that all 2xn soups cannot allow for vertical growth.
8 Jan: Two faster diagonal ships, both c/2d, were found by AlephAlpha.
18 Jan: H. H. P. M. P. Cole posted new factorial shuttles based on the relatively-old FWKnightship reaction, allowing more periods of oscillators to be known.
2 Feb:The first enumeration of small objects in Factorio has been completed by H. H. P. M. P. Cole.
26 Feb: A proof that there are only four finite width-2 strict SLs in Factorio is completed by H. H. P. M. P. Cole (in the post linked, the proof is in edit 3).
6 Mar: All 16 standard symmetries have been apgsearched, as well as 1x256, 2x128, iC1, and i1x256.
17 Mar: A sizable amount of new c/2o ships were discovered by lemon41625 and H. H. P. M. P. Cole (the latter using a search tool by AlephAlpha)
22 Mar: An ever-growing shuttle - a factorialship between four c/3o ships, was constructed by H. H. P. M. P. Cole (the construction is in edit 2). A version with one half stationary was constructed shortly after.
23 Mar: H. H. P. M. P. Cole found several c/3o ships that might possibly hint at a possible chemistry for c/3o ships.

Reflection: WHY DO I END UP DOING THE MAJORITY OF FACTORIO RESEARCH???

NEW PATTERN COLLECTION

The pattern collections are in this zip file:

hpcfactorio.zip

(14.18 KiB) Downloaded 7 times

I have cut out the long-ish writeups.

CREDITS
Rule discovered by H. H. P. M. P. Cole
Pattern collection created by H. H. P. M. P. Cole
First systematic enumeration of objects by H. H. P. M. P. Cole
confocaloid taught H. H. P. M. P. Cole to apgsearch
With contributions by (in chronological order):
H. H. P. M. P. Cole, FWKnightship, May13, wildmyron, Haycat2009, lemon41625, b3s23love, C28, AlephAlpha, and confocaloid

NEW CONJECTURES AND THEOREMS

c/2d is the lower bound for the diagonal speed limit.
There are no p2 oscillators with rotor 1 cell (there is only one survival condition, so if a cell gets born, the cells which survived from generations 0 to 1 will die in generation 2, unless there are other rotor cells).

TODO:

- find a p2 with a non-constant population (or prove that there are none)
- find more periods of height-2 oscillators (or prove that there are no more)
- find more periods of oscillators in B3/S2V for emulation (or prove that there are no more)
- find a statored nontrivial p6
- find new periods (ideally prime), sparkers, and hasslers

- find a stable eater for the factorialship
- make an Amling or jslife-style collection of small non-c/1o ships (c/2o and c/3o are partially complete)
- find a slow orthogonal ship (c/5o or slower, ideally has powerful sparks on the front and back which have high horizontal clearance)
- find new speeds (maybe a knightship?)

- find common evolutionary sequences in Factorio

Engineering challenge:
- find infinite growth of any kind (particularly guns)

[Haycat2009]

I just checked and only one common evolutionary sequence seems to exist - Durnak plasma remains plasma but slowly dies out via one sequence - but it does not last long, dying 3 gens after most sequences converge to it.

Code: Select all

x = 1, y = 3, rule = R3,C2,S2,B3,N+
o$o$o!

By the way, noted that you noticed the anonymous C4_4 hauler. I will not mention who it is - maybe me, or not me - but lets just say I have a C4 fetish.

[confocaloid]

I just checked and only one common evolutionary sequence seems to exist [...]

Very hard to believe. There are multiple common stationary objects, and hence multiple ways to collide any given common sequence with a common stationary object. That should give you multiple common sequences. The puzzle is to census them, along the lines of List of common evolutionary sequences.

By the way, noted that you noticed the anonymous C4_4 hauler. I will not mention who it is - maybe me, or not me - but lets just say I have a C4 fetish.

Clarification: the four 3^14-soup hauls in https://catagolue.hatsya.com/haul/xfactorio/C4_4 were submitted by me on 2023-12-04.

[Haycat2009]

I just checked and only one common evolutionary sequence seems to exist [...]

Very hard to believe. There are multiple common stationary objects, and hence multiple ways to collide any given common sequence with a common stationary object. That should give you multiple common sequences. The puzzle is to census them, along the lines of List of common evolutionary sequences.

I understand, but that is all I could find, with the behaviour of Factorio.

[H. H. P. M. P. Cole]

I just checked and only one common evolutionary sequence seems to exist [...]

Very hard to believe. There are multiple common stationary objects, and hence multiple ways to collide any given common sequence with a common stationary object. That should give you multiple common sequences. The puzzle is to census them, along the lines of List of common evolutionary sequences.

By the way, noted that you noticed the anonymous C4_4 hauler. I will not mention who it is - maybe me, or not me - but lets just say I have a C4 fetish.

Clarification: the four 3^14-soup hauls in https://catagolue.hatsya.com/haul/xfactorio/C4_4 were submitted by me on 2023-12-04.

Thanks confocaloid for the clarification. Unfortunately, Haycat is half-right. I have censused 40000 8x8 soups using a (very crude) self-made script and the most common sequences are these two:

Code: Select all

x = 17, y = 13, rule = R3,C2,S2,B3,N+
bo2b2o4$2b3o7bob2o4$b5o6b4o4$o5bo4bo4bo!

There does not seem to be any common(ish) long-lived sequences according to my analysis.

Perhaps more uplifting is that we can use 3o! and 2obo! as SL components. They can be diagonally joined, as diagonally adjacent cells are not adjacent in the cross neighbourhood. Here are some SLs using them as components:

Code: Select all

x = 66, y = 53, rule = R3,C2,S2,B3,N+
b3o21bo16bob2o8bob2o$o3bo19bob2o15bo11bo$o3bo20bo17bo11bo$o3bo20bo17b
o11bo$b3o3$30bo12bo11bo$24bob2o15bo11bo$30bo12bo11bo$30bo11bob2o7b2ob
o$b3o3b3o15bo$o9bo14bo$o9bo17b2obo$o9bo14bo4$o9bo$o9bo43bob2o$o9bo18b
ob2o22bo$b3o3b3o45bo$21bo33bo$21bo8bo$24bob2o$21bo8bo$30bo24bo$25bo29b
o$25bo8bo20bo$28b2obo24b3o3b3o$25bo8bo30bo$34bo30bo$65bo$23b2obo3$65b
o$55bo9bo$55bo9bo$28b2obo24b3o3b3o$55bo$21bo$21bo8bo$24bob2o$21bo8bo$
30bo$25bo$25bo8bo$28b2obo$25bo8bo$34bo2$23b2obo!

And here are some oscillators/ships featuring the line of three:

Code: Select all

x = 49, y = 23, rule = R3,C2,S2,B3,N+
20bo$8bo11bo$8bo11bo$8bo$o13bo$o13bo5bo$o7bo5bo2bo$11bo2$o4$28b3o$15b
obo$15bobo25b2o3bo$3o2bo9bobo10bo19bo$5bo6b3o3b3o7bo12bo3bo2bo$5bo22b
o$o11b3o3b3o$o14bobo9bob2o$o2b3o9bobo$15bobo!

The zip file in the newest Factorio Status Report has loads of new ships, including 3c/3o, a new velocity.

[H. H. P. M. P. Cole]

A new velocity, 6c/6o, which could rightfully be called an 'LCM ship':

Code: Select all

x = 49, y = 25, rule = R3,C2,S2,B3,N+
4bobobo$46bo$4bo41bo$37bo8bo$4bobobo2bobobo21bo7bob2o$37bo7bo$4bo3bo2b
o33b2obo2$4bobobo2bobobo21bo10bo$20bobobo$45bo$18o2bo3bo10bo12bo$35bo
12bo$20bobobo10bobo7bo2bo$34bo2bo2bo6bo$7bobobo$35bo3b2o4bo$7bo$38bo$
7bobobo27b2o2$7bo3bo28bo2$7bobobo27bo$39bo!

(thanks AlephAlpha for your factoriosrc)