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

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

(this was going to be my 20th post but 17 is a nice number)

I was peering in the LtL Cross rulespace for something new. R1 is just vN, and so no spaceships are possible. R2 B2 is too explosive. However, the situation becomes more interesting when R3 is considered. The R3 B3 rulespace has very few non-explosive rules, and of all these, R3,C2,S2,B3,N+ is the simplest that is life-like. It's sparse, but really cool.

SMALL OBJECTS

It is not interesting when you just run a random soup in it (apart from the sheer variety of small p2 oscillators), but there are many more interesting things to be uncovered.

First, all 40 4-cell objects (EDITED 14/11/23: included the factorialship):

Code: Select all

x = 149, y = 80, rule = R3,C2,S2,B3,N+
2o13bobo13bo2bo$2o13bobo13bo2bo9$15bobo13bo2bo2$15bobo13bo2bo9$31bo2b
o3$31bo2bo17$2b2o11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo
$bo2bo9bo3bo10bo4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o9$2b2o
11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo2$bo2bo9bo3bo10bo
4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o9$2b2o11b2o14b2o12bobo
15bobo15b2o15b2o10bobo9b2o12b2o8bobo3$bo2bo9bo3bo10bo4bo9bo3bo13bobo14b
2o16bobo9bo2bo7bo2bo11b2o8b2o14$bo2b3o!

Now, this is getting a bit repetitive, so I am going to encapsulate the mechanisms of oscillators with greater bounding boxes by defining a specific one called a prime form, which has the smallest bounding box with the same mechanism. Any oscillator in this set can be achieved by expansion or contraction of rows or columns. For example, the right is a valid expansion of the left:

Code: Select all

x = 13, y = 3, rule = R3,C2,S2,B3,N+
10b2o$b2o$o2bo5bo2bo!

Here, the right is not a valid expansion of the left, as the left oscillator is period-6 and the right one is period-2 (actually two period-2 oscillators).

Code: Select all

x = 12, y = 7, rule = R3,C2,S2,B3,N+
9b2o$b2o5bo2bo$o2bo3$obo5bobo$bobo5bobo!

Here, the right is a valid expansion of the left as the oscillators have the same mechanics. This shows that expansions may involve partial columns.

Code: Select all

x = 17, y = 12, rule = R3,C2,S2,B3,N+
3bo10bo$3b2o9bobo$4bo11bo3$obo8bobo$3o8b3o3$3bo10bo$3b2o9b2o$4bo10bo!

OBJECTS & REACTIONS

With that in mind, here’s all the prime forms I have so far, and results using a self-coded search program, with some stabilizations (there are no trivial variants that use the same mechanisms):

Code: Select all

x = 383, y = 379, rule = R3,C2,S2,B3,N+
178bo12bo12bo10bo$178bo12bo12bo10bo$158bo19bo12bo12bo10bo$158bo$52bo11b
o8bo15bo7bo9bo8bo41b2o14bo12bo12bo10bo$52bo11bo8bo15bo7bo9bo8bo57bo3b
o8bo3bo8bo3bo6bo3bo$52bo11bo8bo15b2o6b2o8b2o7b2o22bo18bo14b2o11b2o11b
2o9b2o$140bo18bo2bo10bo12bo$90bo7bo9bo8bo22bo17bo3bo$52bo11bo8bo16bo7b
o9bo8bo18bo37bo12bo12bo10bo$89bo7bo9bo8bo19bo49bo25bo$121bo14bo3bo$63b
o8bo17bo7bo9bo8bo3bo15bo$63bo8bo47b2o$63b2o7b2o48bo13bo$64bo5bo2bobo23b
o9bo$99bo9bo52bo3bo11bo3bo11bo4bo$98b2o8b2o48bo3bo3bo6bo4bo3bo7bo3bo4b
o$98bo7bobo2bo46bo3bo3bo6bo4bo3bo7bo3bo4bo$52bo12bo13bo78bo14bo16bo$52b
o12bo13bo52bo7bo$52bo12bo13bo52bo7bo21bo3bo11bo3bo11bo4bo$132bo7bo17b
o4bo9bo5bo10bo5bo$48bo12bo13bo60bo24bo14bo16bo$48bo3bo8bo3bo9bo3bo56b
o$48b2o11b2o12b2o13bo7bo9bo8bo14bo3bo3bo$47bo12bo13bo15bo7bo9bo8bo17b
obo$66bo13bo8b2o6b2o8b2o7b2o$66bo13bo55bo$65b2o12b2o8bo7bo9bo8bo$65bo
11bobo2bo6bo7bo9bo8bo42bo3bo6bo3bo10bo13bo9bo$90bo7bo9bo8bo41bo3bo6bo
3bo10bo13bo9bo$159bo3bo6bo3bo10bo13bo9bo$89bo7bo9bo8bo4bo$90bo7bo9bo8b
o3bo68bo13bo$120b2o37bo3bo6bo3bo10bo4bo8bo4bo4bo$122bo37bo11bo14bo2bo
10bo2bo2bo$99bo9bo79bo13bobo$99bo9bo$98b2o8b2o$98bo7bobo2bo$185bo12bo
10bo$185bo12bo10bo$158bo4bo6bo5bo8bo12bo10bo$158bo4bo6bo5bo$158bo4bo6b
o5bo14bo12bo$185bo5bo6bo5bo4bo$188bo2bo9bo2bo2bo$102bo55bo4bo6bo5bo13b
o12bobo$102bo57bo12bo$102bo$98bo$98bo$98bo3bo95bo11bo$104bo93bo11bo$105b
o92bo11bo$98bo5bo$101bo3bo98bo$198bo5bo5bo$201bo2bo2bo$203bobo18$140b
2o7bobo7b2o7b2o7b2o$139bo2bo5bobo6b2o8bobo6b2o3$2o$2o3$139b2obo5bob2o
5b2obo$140b2o7bobo7b2o$18bo$2o7b2o6bob2o5bobo2bo$obo7b2o6bo7bo2bobo$b
2o6bobo6bo3$139bo8bo9bo8bo8bo9bo6bo8bo$140bo8bo7bo8bo10bo7bo6b2o8bobo
$139bobo6bo2bo6bobo6b2o6b2o7b2o8b2o5bobo$140bobo6b2o6bobo6bo2bo7b2o7b
2o6bo8bo$2o7b2o7bobo6bo2bo5bo2bo6bobo6bobo$obo6bo2bo5b2o7b2o7bobo6bo2b
o5b2o$bobo6b2o8b2o7b2o6bobo6b2o8b2o$2b2o7b2o6bobo6b2o7b2o6bobo6bobo2$
140bo10bo6bo10bo6bo8bo$142bo6bo10bo6bo8bobo5b2o$139b2o7b2o7bo2bo5bo2b
o7bo8bo$141b2o7b2o6b2o7b2o6bobo8b2o2$o2bo5bobo6b2o9b2o6bobo7b2o282bo3b
2o$bobo6bobo5bo2bo5b2o7bobo7b2o$b2o7b2o8b2o5bo2bo5bo2bo5b2o285bo$obo6b
o2bo6b2o7b2o7b2o6bo2bo$139bo8bo10bo6bo$139b2o7bo2bo7b2o7b2o162bo$141b
o8bo6bo10bo163bo$141b2o6b2o6b2o7b2o147b3o19b3o21b3o3$b2o6bobo6bobo6b2o
8b2o7bobo5bo2bo259bo21bo21bo$o2bo5bobo7bobo5b2o8b2o6bobo7b2o260bo21bo
21bo$o2bo6bobo5bobo8b2o5bo2bo5bobo7b2o260bo21bo21bo$b2o7bobo6bobo7b2o
5bo2bo6bobo5bo2bo84bo5bo11bo5bo$139bo11bo7b2o7b2o130b2o20b2o20b2o20b2o
$141b2o7b2o5b2o7b2o$139b2o7b2o7bo11bo112b2o15bo2bo18bo2bo18bo2bo18bo2b
o$283b2o13bo4bo16bo4bo16bo4bo16bo4bo$296bo8bo12bo8bo12bo8bo12bo8bo$296b
o8bo12bo8bo12bo8bo12bo8bo$b3o8b2o2b2o25b2o7bob2o7bob2o216b2o13bo4bo16b
o4bo16bo4bo16bo4bo$o3bo7bo4bo8b3o24bo10bo217b2o15bo2bo18bo2bo18bo2bo18b
o2bo$o3bo19b2o3b2o22bo10bo74bo8bo$o3bo38b2o8bo10bo74b2o7bobo149b2o20b
2o20b2o20b2o$b3o8bo4bo6b2o3b2o9bo101bo8bo$12b2o2b2o8b3o11bo100b2o6bob
o$40bo$36b2o15bo10bo$53bo10bo$53bo10bo247bo13bo27bo13bo$36b2o14bob2o6b
2obo227b3o2bo7b3o2bo8b2o2bo10b3o2bo7b3o2bo8b2o2bo10b3o2bo$139b2o7bobo
135b2o10bo13bo27bo13bo27bo$2o9b2o126bo8bo149bo13bo27bo13bo27bo$2o9b2o
129bo8bo133bo2bo16bo6bo13bo20bo6bo13bo$2b2o9b2o126b2o6bobo132bo4bo15b
o20bo6bo13bo20bo6bo$2b2o9b2o267bo8bo27bo13bo27bo13bo$4b2o9b2o265bo8bo
27bo13bo27bo13bo$4b2o9b2o267bo4bo9b2o2bo10b3o2bo7b3o2bo8b2o2bo10b3o2b
o7b3o2bo$17b2o266bo2bo16bo27bo13bo27bo$17b2o$286b2o$51bob2o11bob2o$52b
o14bo$52bo14bo$52bo14bo71bobo2bo5bo3b2o8b2o3bo157b3o$139bobo2bo6b2o3b
o6bo2bobo2$327bo$52bo14bo259bo$52bo14bo259bo$5b2o5bobo37bo14bo170bo4b
o$238b2o2b2o75bob3o$176bobo5bobo8b2o7b2o2bo7bobobo7bo2b2o7bo79bo$5b2o
5bobo125bobo6bobo6b2o6b2o$2bo10bo38bo14bo73bo8bo9bo7bo5bo$2bo10bo38bo
14bo71bo3bo6bo6bo3bo6bo6bo2bo4bobobo5b2o2bo8bo10bo11bo90bo$2bo10bo38b
o14bo73bo6bo3bo7bo4bo3bo4bo145bo$51bob2o10b2obo72bo8bo9bo7bo5bo145bo$
184bobo8b2o7b2o2bo7bobobo7bo2b2o7bo71bo3b2o$238bo4bo$2bo10bo224b2o2b2o
69bo$2bo10bo$2bo10bo$2obo7b2obo298bo$313bo$306b3o$140bobo5b2o8bo2bo$140b
o8bo8b2obo$139bob2o5bob2o6bob2o8bo2bo4bobo125bo$139b2o8bobo6bo2bo10b2o
bob2o127bo$78b3o3b3o12bob2o203bo$77bo9bo12bo$77bo9bo12bo197bob3o$6bo2b
o2bo10bo2bo2bo2bo12bo2bo2bo25bo9bo12bo198bo$224bo$187bobo11bo2bo7bo2b
o6bo$6bo5bo10bo8bo12bo5bo2bo107bobo10b2o45bo76bo$77bo9bo12bo39bobo6b2o
148bo$77bo9bo12bo9bo28bo3bo4bo3bo8bo2bo8bo2bo10b2o12b2o9bobo9bo74bo$6b
o2bo2bo10bo8bo12bo2bo5bo22bo9bo12bo9bo30bo9bo8bo11bo11bo13bo10bo13bo67b
o3b2o$78b3o3b3o14b3o3b3o31bo9bo8bo11bo11bo13bo10bo13bo$110bo30bo9bo8b
o11bo11bo13bo10bo13bo68bo$23bo2bo2bo2bo15bo2bo2bo2$292bo$141bo9bo8bo11b
o11bo13bo10bo13bo68bo$141bo9bo8bo11bo11bo13bo10bo13bo61b3o$141bo9bo8b
o11bo11bo13bo10bo13bo$139b2obo6b2obo5b2obo8b2obo8b2obo10b2obo7b2obo10b
2obo$285bo$285bo$285bo$4bo2bo2bo2bo2bo6bo2bo2bo2bo2bo$290b2o2$4bo11bo
6bo11bo253bo2bo$139bo51bo11bo11bo72bo4bo$144b2o10b3o6b3o7b3o13bobo9b2o
10b2o9b2o3bo5b2o47bo8bo$4bo11bo6bo11bo10b2o2b2o2b2o83bo2bo3bo12bo5b3o
10bo14bo10bo11bo10b2o5bo3b2o46bo8bo$46bo8bo83bo16b3o9bo9bo109bo4bo$104b
2o3b2o48bo8bo6b3o111bo2bo$4bo2bo2bo2bo2bo6bo11bo68b2o3b2o78b2o9bobo9b
2o$46bo8bo50bobo79b3o9b3o9b3o75b2o$46b2o2b2o2b2o$23bo2bo2bo2bo2bo70bo
bo117bobo2bo5b2o$104b2o3b2o80bo11bo11bo11b2o5bo2bobo$104b2o3b2o80b2o10b
2o10b2o$192bo11bo11bo4$362b2o5b2o$5b2o2b2o2b2o9b2o2b2o2b2o2b2o8b2o2b2o
2b2o2b2o268bobo9b2obo3bob2o$5bo8bo9bo12bo8bo12bo222b2o8b2o9b3o7bo2b2o
7bobo13bo2bobo2bo12b2o5b2o$282b2o8b2o9bo2bo6bobobo42bo3bo3bo3bo$76bo2b
o226bo18bobo$5bo8bo9bo12bo8bo12bo245b2o7bo13bobo29bo3bo3bo3bo$5bo8bo9b
o12bo8bo12bo84bo2bo5bo5bo2bo14bo2bo2bo5bo2bo2bo86bo10bo19bo2b2o$76bo2b
o$282bo10bo$5bo8bo9bo12bo8bo12bo11bo2bo69bo2bo2bo5bo2bo2bo14bo8bo8bo$
5b2o2b2o2b2o9b2o2b2o2b2o2b2o8bo12bo20bobo$282b2o9b2o8b3o$71bo2bo5bobo
64bo11bo17bo2bo2bo5bo2bo2bo86b2o9b2o10b2o6bobobo$46bo12bo17bobo5bo2bo
217bo6bo2b2o9bo2bo9bo3bo$46b2o2b2o2b2o2b2o243bo2bo18bo2bo33b2o5b2o$77b
obo64bo2bo2bo5bo2bo2bo14bo8bo8bo118bo$85bo2bo224bobobo7bo2bo12b2o3bo13b
o3bo3bo3bo$327bo2bo31b2o5b2o$80bo2bo60bo2bo5bo5bo2bo14bo2bo2bo5bo2bo2b
o$344b2o14bo3bo3bo3bo2$80bo2bo96bo11bo$313bo2b2o2$177bo2bo2bo5bo2bo2b
o118bo$313bobobo32bo2bo$313bo2b2o32bo2bo$5bo2bo2bo51bo2bo2bo107bo2bo5b
o5bo2bo152b2o4b2o3$5bo5bo51bo5bo278b2o4b2o$350bo2bo$10bobobobobobobob
obobobobobobobobobobobobobobobobobobobobo285bo2bo$5bo2bo2bo51bo2bo2bo
73bo2bo2bo2bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo$10bo53bo
2$10bo53bo78bo8bo2bo2bo5bo10bo5bo2bo2bo5bo11bo5bo2bo2bo5bo2$10bo53bo$
143bo8bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo$10bo53bo2$10b
o53bo78bo2bo2bo2bo8bo16bo11bo17bo11bo$5bo2bo2bo51bo2bo2bo$10bobobobob
obobobobobobobobobobobobobobobobobobobobobobobo$155bo2bo2bo2bo10bo2bo
2bo2bo2bo2bo2bo11bo2bo2bo5bo2bo2bo$5bo5bo51bo5bo2$155bo8bo10bo17bo11b
o5bo2bo2bo5bo$5bo2bo2bo51bo2bo2bo238bobo6b2o13b2o8b2o8bobo6bobo$281b2o
9bo2bo$155bo8bo10bo17bo11bo2bo2bo5bo2bo2bo56bo2bo9b2o$307bo2bo5bobo12b
2o8bobo7bo2bo7b2o2$155bo2bo2bo2bo10bo2bo2bo2bo2bo2bo2bo86bobo9bobo$281b
obo9bobo13b2o7b2o13b2o7bobo6b2o7b2o3$307b2o7b2o14b2o8b2o7bobo6bobo$5b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2$281b2o9bo2bo$5bo101bo172bo2bo9b2o
$140b2o3bo4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo4bo3b2o$141b2o5bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo5b2o84b2o7b2o7b2o$5bo101bo172b2o10b2o13bo2b
o5bobo$282b2o10b2o$331bobo6b2o8b2o$5bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o200bobo6b2o2$331bobo6b2o7bobo$140b2o3bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
o5bo5bo5bo5bo5bo5bo3b2o62b2o7b2o$141b2o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo
5bo5bo5bo5bo5bo5bo5b2o36b2o8b2o$280b2o12b2o35b2o7bobo6b2o$307b2o7b2o2$
280bobo9bobo$5b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o170bobo9bobo$5bo104b
o$140b2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob
2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2o2$5bo104bo$5b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o30bo107bo3$140bo109bo$140b2o107b2o$141bo107bo$5bo99bo$6b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o$5b
o99bo$5bo99bo3$247bo$142bo103b2o$143bo102bo$143bo2$142bo104bo3$73bo2b
o2bo2bo58b2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2b
obob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o3$70bo2bo8bo2bo55bo104b
o$249bo2$67bo2bo14bo55bo107bo$246bo2$64bo2bo17bo55bo2$246bo$61bo2bo17b
o2bo55bo107bo2$249bo$58bo2bo17bo2bo58bo104bo3$55bo2bo17bo2bo61b2o2bob
ob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2b
obob2o2bobob2o2bobob2o2bobob2o3$52bo2bo17bo2bo65bo104bo2$143bo$49bo2b
o17bo2bo69bo102bo$142bo103b2o$247bo$46bo2bo17bo2bo3$43bo2bo17bo2bo3$40b
o2bo17bo2bo3$37bo2bo17bo2bo3$34bo2bo17bo2bo3$31bo2bo17bo2bo3$28bo2bo17b
o2bo3$28bo17bo2bo3$28bo14bo2bo3$28bo2bo8bo2bo3$31bo2bo2bo2bo!

I suggest we call the 4-cell c/1 spaceship the factorial, and its smallest tagalong the factorial-with-tail (or FT).
Some 4-cell oscillator-converter reactions (including THREE all-time two-stage eaters which could potentially be used as memory cells):

Code: Select all

x = 194, y = 46, rule = R3,C2,S2,B3,N+
145bobo17bobo22bobo$b2o13b2o13b2o22b2o13b2o13b2o35bobo19bo3bo16bo2bo20b
o3bo$o2bo12bobo13b2o20bo2bo12bobo13b2o33bo3bo8$6bo14bo14bo154bo$6bo14b
o14bo23bo14bo14bo35bo23bo19bo20bo$6bo14bo14bo23bo14bo14bo35bo23bo19bo
20bo$60bo14bo14bo35bo23bo19bo2$6bo14bo14bo154bo$60bo14bo14bo35bo23bo19b
o14$b2o13b2o13b2o22b2o13b2o13b2o35b2o$o3bo11bo2bo12bobo19bo3bo11bo2bo
12bobo32bo3bo8$6bo14bo14bo$6bo14bo14bo23bo14bo14bo35bo$6bo14bo14bo23b
o14bo14bo35bo$60bo14bo14bo35bo2$6bo14bo14bo$60bo14bo14bo35bo!

Two one-stage periodic eaters:

Code: Select all

x = 22, y = 22, rule = R3,C2,S2,B3,N+
bo2bo13bobo$2o2b2o$o4bo12bobo$17bo3bo2$17bo3bo6$4bo$4bo$4bo3$4bo15bo$
20bo$20bo3$20bo!

Block-dot reaction

Code: Select all

x = 4, y = 3, rule = R3,C2,S2,B3,N+
o$2b2o$2b2o!

56M

Code: Select all

x = 4, y = 4, rule = R3,C2,S2,B3,N+
3bo$obo$o2bo$b3o!

And, finally, some wicks:

Code: Select all

x = 336, y = 174, rule = R3,C2,S2,B3,N+:T336,200
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo4$2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo4$o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
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2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2bo4$2o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3bo8$3bobo3bo
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obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3b
obo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo3bobo4$o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o
4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b2o4b
2o4b2o4bo4$b2obo2bob2obo2bob2obo2bob2obo2bob2obo2bob2obo2bob2obo2bob2o
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4$3o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b
4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o4b4o
4b4o4b4o4b4o4b4o4b4o4b4o4b4o4bo5$obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2o
bo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b
2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2obo2b2ob
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2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobo
b2o2bobob2o2bo4$2obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b
3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3ob
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3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3b3obo3bo5$o3b2ob
2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2o
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b2o3b2obo4$2o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o
2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o
2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o
2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o2bo2b3o
2bo2b3o2bo2b3o2bo2b3o2bo2bo4$o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
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3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo$3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
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3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
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3bo3bo3bo3bo3bo3bo3bo3bo3bo$bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
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3bo4$5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
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o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5$3bo
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5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo
5bo5bo5bo5bo5bo5bo5bo5bo5bo$2bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
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o5bo5bo5bo5bo5bo5bo$5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
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bo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4b
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bo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4bobo4b
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3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bo
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3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o3bob3o$bo
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o7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$obobo2b2obobo2b2obobo2b2obobo2b2obobo
2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2ob
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2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obob
o2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2obobo2b2o
bobo2b2obobo2b2obobo2bo$bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7b
o7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7b
o7bo7bo7bo6$3bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo
2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo
4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo
2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo4bo2bo$o2bo4bo2bo4b
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bobo2bobobo2bobobo2bobo$4bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo
6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo
6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo$2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo
2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2bo2b2o2b
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o2b2o2bo2b2o2bo2b2o5$7bo27bo13bo27bo13bo27bo13bo27bo13bo27bo13bo27bo13b
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3o10bo2b2o8bo2b3o7bo2b3o10bo2b2o8bo2b3o7bo2b3o10bo2b2o8bo2b3o7bo2b3o10b
o2b2o8bo2b3o7bo2b3o10bo2b2o8bo2b3o7bo2b3o10bo2b2o$7bo13bo27bo13bo27bo
13bo27bo13bo27bo13bo27bo13bo27bo13bo27bo13bo$7bo13bo27bo13bo27bo13bo27b
o13bo27bo13bo27bo13bo27bo13bo27bo13bo$7bo6bo20bo13bo6bo20bo13bo6bo20b
o13bo6bo20bo13bo6bo20bo13bo6bo20bo13bo6bo20bo13bo6bo20bo$14bo13bo6bo20b
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3o7bo2b3o10bo2b2o8bo2b3o$14bo13bo27bo13bo27bo13bo27bo13bo27bo13bo27bo
13bo27bo13bo27bo13bo9$bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo
2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2b
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7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo
$3bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7b
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7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7bo$3bo7bo7bo7bo7bo7bo7bo7bo7bo7bo7b
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o7bo7bo7bo7bo$bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo
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o2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bob
o2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2b
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bo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b
2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo$b2obo4b2obo4b2obo4b
2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b
2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo$bo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2b
o2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bob
o2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2b
obo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2b
o2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bob
o2bo2bobo2bo2bo6$b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b
2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo$bo2bo2b
obo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2b
o2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bob
o2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2b
obo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2b
o2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bo$b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b
2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2ob
o4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b2obo4b
2obo4b2obo4b2obo4b2obo4b2obo!

General properties:
- All patterns that are 1-by-n remain 1-by-n.
- All patterns that are 2-by-n remain 2-by-n and each object in this set has at least 2 non-prime forms related to it.
- There are no orthogonal speeds beyond (simplified) c/1o.
- Cells two spaces apart emulate B3/S2V. Some small p1 and p2 objects which use the emulation are in the pattern collection above (found using rlifesrc and converted by hand).

TO ALL APGSEARCHERS:
- If you find a ‘new’ object not in the collection, remove as many blank columns and rows (or partial ones) as possible, retaining the same mechanics (i.e. same general arrangement of rotors and stators). This should produce a prime form. If the prime form is not in the collection, you are welcome to post it. I am happy to hear any suggestions and questions on terminology as this rule is unlike anything you've seen before in isotropic rules.

Stuff to do (need others as my computer is prone to viruses from foreign programs):
- Enumerate still-lifes and p2 oscs (and do a nomenclature for them, because what we don't have in Life can possibly be achieved here - good SL and p2 nomenclature.)
- APGsearch this rule (if APGsearch supports this family of rules)
- Find new periods (ideally p5, p8, p12)
- Find all 8-cell p6 oscillators because finding them manually is a chore
- Find new spaceship speeds (I am getting sick and tired of c/1) (ideally all p2 speeds (2c/2o, c/2d, c/2o))
- Find conduits (probably on 56M/F/FT) and maybe some high-period oscillators based on them
- Find a stable eater for any spaceship
- Do some syntheses
- Name some important patterns

Far future goals
- Prove the rule omniperiodic
- Find a knightship
- Make a macro-spaceship (bonus points if it looks like a giant factorial-ship)

APPENDIX
My self-coded program to search for objects (run in Python 3)

Code: Select all

import random
import csv
size = 16 
cache = []
for a in range(0, 100000):
    print(a)
    string = 'x = 0, y = 0, rule = R3,C2,S2,B3,N+:P16\n'
    string2 = ''
    periods = []
    array = 3*[(size+6)*[0]]
    for b in range(0, size):
        newrow = 3*[0]
        for c in range(0, size):
            newrow.append(random.randint(0, 1))
        newrow.append(0)
        newrow.append(0)
        newrow.append(0)
        array.append(newrow)
    for d in range(0, 3):
        array.append((size+6)*[0])

    soup = array

    arrays = []
    for i in range(0, 120):
        newarray = 3*[(size+6)*[0]]
        for b in range(0, size):
            newrow = 3*[0]
            for c in range(0, size):
                neighbourhood = array[b+3][c]+array[b+3][c+1]+array[b+3][c+2]+array[b+3][c+4]+array[b+3][c+5]+array[b+3][c+6]+array[b][c+3]+array[b+1][c+3]+array[b+2][c+3]+array[b+4][c+3]+array[b+5][c+3]+array[b+6][c+3]
                state = array[b+3][c+3]
                if state == 0 and neighbourhood == 3:
                    newrow.append(1)
                elif state == 1 and neighbourhood == 2:
                    newrow.append(1)
                else:
                    newrow.append(0)
            newrow.append(0)
            newrow.append(0)
            newrow.append(0)
            newarray.append(newrow)
        for d in range(0, 3):
            newarray.append((size+6)*[0])
        array = newarray
        arrays.append(newarray)

    newerarray = array

    for i in range(0, 100):
        if arrays[i] == arrays[-1]:
            periods.append(i)

    if len(periods) >= 2:
        period = periods[1]-periods[0]
    elif len(periods) == 1:
        period = 'HPO'
    elif len(periods) == 0:
        period = 'Methuselah'

    for p in range (3, size+3):
        for q in range (3, size+3):
            if soup[p][q] == 0:
                string = string+'b'
            if soup[p][q] == 1:
                string = string+'o'
        string = string + '$'
    string = string + '!'

    for p in range (3, size+3):
        for q in range (3, size+3):
            if array[p][q] == 0:
                string2 = string2+'b'
            if array[p][q] == 1:
                string2 = string2+'o'

    if string2.find('o') != -1:
        cache.append([str(period),string2.count('o'),string])

file = open('results.csv', 'w+', newline ='')
     
with file:   
    write = csv.writer(file)
    write.writerows(cache)

Change the 100000 near the top for other numbers of soups.

It returns the cell-count, period, and soup for any soup that does not die. It is configured to Factorio, but it can be adjusted to any range-3 totalistic weighted rule.

I found the objects by permutations of the columns and rows of objects outputted by my program, and evolving various pattern collections in other rules in Factorio (especially DRH's oscillator collection, which gave me the D8_4 p3 and p4)

[FWKnightship]

P8,P9:

Code: Select all

x = 29, y = 9, rule = R3,C0,S2,B3,N+
24bobo$o2bo20b2o$2o3bo21bo$5bo21bo$8bo$8bo3b2o11bo$10bo2bo11bo$27b2o$
26bobo!

[May13]

p5 and p12 oscillators:

Code: Select all

x = 44, y = 43, rule = R3,C0,S2,B3,N+
o8bo12b3o2b2o$28bo$ob6obo10bo$ob6obo10bo$20bo7bo$3bo2bo21bo$28bo$20bo$
20b2o2b3o22$2bo19bo17bo2bo2$2o18b2o19bobo$2o18b2o19bobo2$o19bo22bo2$o
19bo22bo2$2o18b2o19bobo$2o18b2o19bobo$20bobo$2bo37bo2bo!

Edit: p2 photon:

Code: Select all

x = 4, y = 8, rule = R3,C0,S2,B3,N+
2bo$2bo$obo$3bo$bo$o2$3bo!

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

Edit: p2 photon:

Code: Select all

x = 4, y = 8, rule = R3,C0,S2,B3,N+
2bo$2bo$obo$3bo$bo$o2$3bo!

I feel it shouldn't be called a photon because the rule is range-3. Photons in this case should be reserved for spaceships with a simplified speed of 3c/1o (which do not exist in Factorio).

Instead, since c is the terminal velocity for orthogonal spaceships, I would just call this a plain old 2c/2o spaceship.

EDIT: Updated pattern collection. The smallest periods undiscovered are 7, 10, 11, c/2o, and c/2d:

Code: Select all

# Factorio pattern collection 1.1
# Rule by H. H. P. M. P. Cole
# With contributions by H. H. P. M. P. Cole, FWKnightship, and May13
# p1, p2, p3, p4, p5, p6, p8, p9, p12, c/1o, 2c/2o
x = 396, y = 354, rule = R3,C2,S2,B3,N+
191bo12bo12bo10bo$191bo12bo12bo10bo$171bo19bo12bo12bo10bo15bobobo$171b
o$65bo11bo8bo15bo7bo9bo8bo41b2o14bo12bo12bo10bo23bo$65bo11bo8bo15bo7b
o9bo8bo57bo3bo8bo3bo8bo3bo6bo3bo$41bobobo19bo11bo8bo15b2o6b2o8b2o7b2o
22bo18bo14b2o11b2o11b2o9b2o18bobobo2bobobo$153bo18bo2bo10bo12bo$41bo61b
o7bo9bo8bo22bo17bo3bo68bo6bo$65bo11bo8bo16bo7bo9bo8bo18bo37bo12bo12bo
10bo$41bobobo56bo7bo9bo8bo19bo49bo25bo18bobobo2bobobo13bo$134bo14bo3b
o115bo$76bo8bo17bo7bo9bo8bo3bo15bo116bobo$39b9o28bo8bo47b2o105b18o12b
o$76b2o7b2o48bo13bo118bo$77bo5bo2bobo23bo9bo87bo11bo9bo34bo$112bo9bo52b
o3bo6bo3bo6bo3bo8bo11bo9bo$43bo67b2o8b2o40bo7bo3bo3bo6bo3bo6bo3bo8bo11b
o9bo14bobobo18bo$111bo7bobo2bo38bo7bo3bo3bo6bo3bo6bo3bo$41bobo21bo12b
o13bo70bo7bo43bo11bo23bo$65bo12bo13bo52bo7bo5bo50bo4bo6bo4bo4bo$43bo21b
o12bo13bo52bo7bo5bo15bo3bo6bo3bo6bo3bo10bo2bo8bo2bo2bo16bobobo$145bo7b
o5bo3bo7bo4bo10bo11bo14bo11bobo$43bo17bo12bo13bo60bo15bo8bo72bo$61bo3b
o8bo3bo9bo3bo56bo16bo$41bobobo15b2o11b2o12b2o13bo7bo9bo8bo14bo3bo3bo5b
o5bo81bobobo$60bo12bo13bo15bo7bo9bo8bo17bobo11bo3bo$79bo13bo8b2o6b2o8b
2o7b2o$79bo13bo55bo$78b2o12b2o8bo7bo9bo8bo$78bo11bobo2bo6bo7bo9bo8bo$
103bo7bo9bo8bo2$102bo7bo9bo8bo4bo$103bo7bo9bo8bo3bo$133b2o$135bo$112b
o9bo$112bo9bo$111b2o8b2o$111bo7bobo2bo2$344bo3b2o2$345bo3$345bo$345bo
$328b3o19b3o21b3o2$277bobobo$330bo21bo21bo$142bobobo6b2o7bobo7b2o7b2o
7b2o89bo48bo21bo21bo$152bo2bo5bobo6b2o8bobo6b2o139bo21bo21bo$146bo132b
obo$313b2o20b2o20b2o20b2o$2bo10b2o127bobobo134bo$13b2o280b2o15bo2bo18b
o2bo18bo2bo18bo2bo$obo139bo134bobobo14b2o13bo4bo16bo4bo16bo4bo16bo4bo
$309bo8bo12bo8bo12bo8bo12bo8bo$2bo139bobobo5b2obo5bob2o5b2obo135bo8bo
12bo8bo12bo8bo12bo8bo$153b2o7bobo7b2o122b2o13bo4bo16bo4bo16bo4bo16bo4b
o$2bo28bo263b2o15bo2bo18bo2bo18bo2bo18bo2bo$13b2o7b2o6bob2o5bobo2bo$o
bobo8bobo7b2o6bo7bo2bobo268b2o20b2o20b2o20b2o$14b2o6bobo6bo3$152bo8bo
9bo8bo8bo9bo6bo8bo$153bo8bo7bo8bo10bo7bo6b2o8bobo$152bobo6bo2bo6bobo6b
2o6b2o7b2o8b2o5bobo108bo13bo27bo13bo$153bobo6b2o6bobo6bo2bo7b2o7b2o6b
o8bo89b3o2bo7b3o2bo8b2o2bo10b3o2bo7b3o2bo8b2o2bo10b3o2bo$13b2o7b2o7bo
bo6bo2bo5bo2bo6bobo6bobo228b2o10bo13bo27bo13bo27bo$13bobo6bo2bo5b2o7b
2o7bobo6bo2bo5b2o242bo13bo27bo13bo27bo$14bobo6b2o8b2o7b2o6bobo6b2o8b2o
227bo2bo16bo6bo13bo20bo6bo13bo$15b2o7b2o6bobo6b2o7b2o6bobo6bobo227bo4b
o15bo20bo6bo13bo20bo6bo$295bo8bo27bo13bo27bo13bo$153bo10bo6bo10bo6bo8b
o96bo8bo27bo13bo27bo13bo$155bo6bo10bo6bo8bobo5b2o98bo4bo9b2o2bo10b3o2b
o7b3o2bo8b2o2bo10b3o2bo7b3o2bo$152b2o7b2o7bo2bo5bo2bo7bo8bo98bo2bo16b
o27bo13bo27bo$154b2o7b2o6b2o7b2o6bobo8b2o$299b2o$13bo2bo5bobo6b2o9b2o
6bobo7b2o$14bobo6bobo5bo2bo5b2o7bobo7b2o$14b2o7b2o8b2o5bo2bo5bo2bo5b2o
$13bobo6bo2bo6b2o7b2o7b2o6bo2bo278b3o$152bo8bo10bo6bo$152b2o7bo2bo7b2o
7b2o$154bo8bo6bo10bo158bo$154b2o6b2o6b2o7b2o159bo$340bo2$14b2o6bobo6b
obo6b2o8b2o7bobo5bo2bo261bob3o$13bo2bo5bobo7bobo5b2o8b2o6bobo7b2o263b
o$13bo2bo6bobo5bobo8b2o5bo2bo5bobo7b2o$14b2o7bobo6bobo7b2o5bo2bo6bobo
5bo2bo84bo5bo11bo5bo$152bo11bo7b2o7b2o150bo$154b2o7b2o5b2o7b2o152bo$152b
2o7b2o7bo11bo150bo$325bo3b2o2$326bo$14b3o8b2o2b2o25b2o7bob2o7bob2o$13b
o3bo7bo4bo8b3o24bo10bo$13bo3bo19b2o3b2o22bo10bo74bo8bo164bo$13bo3bo38b
2o8bo10bo74b2o7bobo162bo$14b3o8bo4bo6b2o3b2o9bo101bo8bo154b3o$25b2o2b
2o8b3o11bo100b2o6bobo$53bo$49b2o15bo10bo241bo$66bo10bo241bo$66bo10bo241b
o$49b2o14bob2o6b2obo$152b2o7bobo147bob3o$13b2o9b2o126bo8bo150bo$13b2o
9b2o129bo8bo$15b2o9b2o126b2o6bobo$15b2o9b2o284bo$17b2o9b2o282bo$17b2o
9b2o282bo$30b2o272bo3b2o$30b2o$305bo$64bob2o11bob2o$65bo14bo$65bo14bo
224bo$65bo14bo71bobo2bo5bo3b2o8b2o3bo122bo$152bobo2bo6b2o3bo6bo2bobo116b
3o3$65bo14bo217bo$65bo14bo217bo$18b2o5bobo37bo14bo170bo4bo41bo$251b2o
2b2o$189bobo5bobo8b2o7b2o2bo7bobobo7bo2b2o7bo49b2o$18b2o5bobo125bobo6b
obo6b2o6b2o$15bo10bo38bo14bo73bo8bo9bo7bo5bo114bo2bo$15bo10bo38bo14bo
71bo3bo6bo6bo3bo6bo6bo2bo4bobobo5b2o2bo8bo10bo11bo58bo4bo$15bo10bo38b
o14bo73bo6bo3bo7bo4bo3bo4bo111bo8bo$64bob2o10b2obo72bo8bo9bo7bo5bo111b
o8bo$197bobo8b2o7b2o2bo7bobobo7bo2b2o7bo47bo4bo$251bo4bo45bo2bo$15bo10b
o224b2o2b2o$15bo10bo276b2o$15bo10bo$13b2obo7b2obo3$153bobo5b2o8bo2bo$
153bo8bo8b2obo$152bob2o5bob2o6bob2o8bo2bo4bobo$152b2o8bobo6bo2bo10b2o
bob2o$91b3o3b3o12bob2o$90bo9bo12bo$90bo9bo12bo$19bo2bo2bo10bo2bo2bo2b
o12bo2bo2bo25bo9bo12bo$237bo$200bobo11bo2bo7bo2bo6bo$19bo5bo10bo8bo12b
o5bo2bo107bobo10b2o45bo139b2o5b2o$90bo9bo12bo39bobo6b2o177bobo9b2obo3b
ob2o$90bo9bo12bo9bo28bo3bo4bo3bo8bo2bo8bo2bo10b2o12b2o9bobo9bo44bo3bo
8b2o8b2o9b3o7bo2b2o7bobo13bo2bobo2bo12b2o5b2o$19bo2bo2bo10bo8bo12bo2b
o5bo22bo9bo12bo9bo30bo9bo8bo11bo11bo13bo10bo13bo58b2o8b2o9bo2bo6bobob
o42bo3bo3bo3bo$91b3o3b3o14b3o3b3o31bo9bo8bo11bo11bo13bo10bo13bo45bo3b
o32bo18bobo$123bo30bo9bo8bo11bo11bo13bo10bo13bo81b2o7bo13bobo29bo3bo3b
o3bo$36bo2bo2bo2bo15bo2bo2bo214bobobo8bo10bo19bo2b2o2$286bo8bo10bo$154b
o9bo8bo11bo11bo13bo10bo13bo$154bo9bo8bo11bo11bo13bo10bo13bo49bo$154bo
9bo8bo11bo11bo13bo10bo13bo58b2o9b2o8b3o$152b2obo6b2obo5b2obo8b2obo8b2o
bo10b2obo7b2obo10b2obo57b2o9b2o10b2o6bobobo$319bo6bo2b2o9bo2bo9bo3bo$
316bo2bo18bo2bo33b2o5b2o$327bo$17bo2bo2bo2bo2bo6bo2bo2bo2bo2bo277bobo
bo7bo2bo12b2o3bo13bo3bo3bo3bo$340bo2bo31b2o5b2o2$17bo11bo6bo11bo308b2o
14bo3bo3bo3bo$152bo51bo11bo11bo$157b2o10b3o6b3o7b3o13bobo9b2o10b2o9b2o
3bo5b2o$17bo11bo6bo11bo10b2o2b2o2b2o83bo2bo3bo12bo5b3o10bo14bo10bo11b
o10b2o5bo3b2o73bo2b2o$59bo8bo83bo16b3o9bo9bo$117b2o3b2o48bo8bo6b3o136b
o$17bo2bo2bo2bo2bo6bo11bo68b2o3b2o78b2o9bobo9b2o99bobobo32bo2bo$59bo8b
o50bobo79b3o9b3o9b3o98bo2b2o32bo2bo$59b2o2b2o2b2o292b2o4b2o$36bo2bo2b
o2bo2bo70bobo117bobo2bo5b2o$117b2o3b2o80bo11bo11bo11b2o5bo2bobo$117b2o
3b2o80b2o10b2o10b2o131b2o4b2o$205bo11bo11bo133bo2bo$363bo2bo4$18b2o2b
2o2b2o9b2o2b2o2b2o2b2o8b2o2b2o2b2o2b2o$18bo8bo9bo12bo8bo12bo$340b3o2b
2o$89bo2bo253bo$18bo8bo9bo12bo8bo12bo265bo$18bo8bo9bo12bo8bo12bo84bo2b
o5bo5bo2bo14bo2bo2bo5bo2bo2bo129bo$89bo2bo245bo7bo$346bo$18bo8bo9bo12b
o8bo12bo11bo2bo69bo2bo2bo5bo2bo2bo14bo8bo8bo137bo$18b2o2b2o2b2o9b2o2b
2o2b2o2b2o8bo12bo20bobo185bobobo52bo$293bo8bo12b3o2b2o10b3o2b2o9b3o2b
2o$84bo2bo5bobo64bo11bo17bo2bo2bo5bo2bo2bo72bo39bo32bo$59bo12bo17bobo
5bo2bo191bob6obo10bo16bo$59b2o2b2o2b2o2b2o208bobobo7bob6obo10bo16bo$90b
obo64bo2bo2bo5bo2bo2bo14bo8bo8bo104bo7bo8bo23bo$98bo2bo183bo10bo2bo21b
o32bo$321bo32bo$93bo2bo60bo2bo5bo5bo2bo14bo2bo2bo5bo2bo2bo72bobobo27b
o16bo$313b2o2b3o10b2o2b3o9b2o2b3o$346bo$93bo2bo96bo11bo132bo$338bo$338b
o7bo$190bo2bo2bo5bo2bo2bo137bo$346bo$338bo$18bo2bo2bo51bo2bo2bo107bo2b
o5bo5bo2bo129b2o2b3o3$18bo5bo51bo5bo2$23bobobobobobobobobobobobobobob
obobobobobobobobobobobobobo$18bo2bo2bo51bo2bo2bo73bo2bo2bo2bo5bo2bo2b
o10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo$23bo53bo$281bobobo35bobo6b2o13b
2o8b2o8bobo6bobo$23bo53bo78bo8bo2bo2bo5bo10bo5bo2bo2bo5bo11bo5bo2bo2b
o5bo57b2o9bo2bo$281bo11bo2bo9b2o$23bo53bo242bo2bo5bobo12b2o8bobo7bo2b
o7b2o$156bo8bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo44bobobo
$23bo53bo215bobo9bobo$281bo3bo8bobo9bobo13b2o7b2o13b2o7bobo6b2o7b2o$23b
o53bo78bo2bo2bo2bo8bo16bo11bo17bo11bo$18bo2bo2bo51bo2bo2bo198bobobo$23b
obobobobobobobobobobobobobobobobobobobobobobobobobobobo242b2o7b2o14b2o
8b2o7bobo6bobo$168bo2bo2bo2bo10bo2bo2bo2bo2bo2bo2bo11bo2bo2bo5bo2bo2b
o$18bo5bo51bo5bo$294b2o9bo2bo$168bo8bo10bo17bo11bo5bo2bo2bo5bo56bo2bo
9b2o$18bo2bo2bo51bo2bo2bo$345b2o7b2o7b2o$168bo8bo10bo17bo11bo2bo2bo5b
o2bo2bo56b2o10b2o13bo2bo5bobo$295b2o10b2o$344bobo6b2o8b2o$168bo2bo2bo
2bo10bo2bo2bo2bo2bo2bo2bo114bobo6b2o2$344bobo6b2o7bobo$322b2o7b2o$295b
2o8b2o$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo172b2o12b2o35b2o7bobo6b2o$
320b2o7b2o2$18bo101bo172bobo9bobo$153b2o3bo4bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo4bo3b2o32bobo9bobo$154b2o5b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o5b2o$18bo101bo3$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo3$153b2o3bo5bo5b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo3b2o$154b2o5bo5bo5bo5bo5bo
5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b2o5$18b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o$18bo104bo$153b2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b
2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2o17bobobo$294bobo$18b
o104bo157bo3bo7b2o3bo$18b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o30bo107b
o35bo$281bobobo15bo$301bo3b2o$153bo109bo17bo3bo17bobo$153b2o107b2o$154b
o107bo18bobobo$18bo99bo$19b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o$18bo99bo$18bo99bo3$260bo20bobobo7bobo$155bo103b
2o32b2o$156bo102bo21bo3bo10bo$156bo139bo$281bobobo$155bo104bo33bo$285b
o8bo$296b2o$86bo2bo2bo2bo58b2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o
2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o21bob
obo9bobo3$83bo2bo8bo2bo55bo104bo$262bo2$80bo2bo14bo55bo107bo$259bo$295b
o8bo6bo2bo$77bo2bo17bo55bo121bo4bobobo$293b2o7b2o7bobo$259bo14bobo8bo
7b2o7b2o7bobo$74bo2bo17bo2bo55bo107bo$276bo4bobobo7bo8bo8bo$262bo$71b
o2bo17bo2bo58bo104bo16bo4bo11bo8bo8bo2$274bobobo2bobobo7b2o7b2o7bobo$
68bo2bo17bo2bo61b2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2b
obob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o33b2o7b2o7bobo$
302bobo$295bo15bo2bo$65bo2bo17bo2bo65bo104bo2$156bo$62bo2bo17bo2bo69b
o102bo$155bo103b2o$260bo$59bo2bo17bo2bo3$56bo2bo17bo2bo3$53bo2bo17bo2b
o3$50bo2bo17bo2bo3$47bo2bo17bo2bo3$44bo2bo17bo2bo3$41bo2bo17bo2bo3$41b
o17bo2bo3$41bo14bo2bo3$41bo2bo8bo2bo3$44bo2bo2bo2bo!

Updates:
- Changed FWKnightships' p8 as I have a preference for 2o$b2o! over 2o$obo!
- May13's p5s and p12s, and my extension of May13's second p5
- Added FWKnightship's p8 and extra-sparky p9
- Added May13's 2c/2o

[wildmyron]

Here are a few new spaceship speeds, found with Logic Cellular Automata Search

c/2 orthogonal, p2:

Code: Select all

x = 13, y = 5, rule = R3,C0,S2,B3,N+
7bo$8b2o$2o2bobo2bob2o$8b2o$7bo!

c/3 diagonal, p3:

Code: Select all

x = 6, y = 6, rule = R3,C0,S2,B3,N+
5bo$3b3o2$bo2bo$bobo$2o!

I also ran a few test hauls in apgsearch, they are available at https://catagolue.hatsya.com/census/xfactorio
I'm a bit rusty with this stuff so I can't remember if lifelib has native support for this neighbourhood which is why I used a rule file. Here is the rule file I used:

Code: Select all

@RULE Factorio

@COLORS
0 0 0 0
1 255 255 255

# This ruletable is automatically generated by CAViewer
# Note that is ruletable may not work properly in Golly as it is meant to be run by lifelib.
# If this ruletable operates in with a range 1 neighbourhood, switch neighbourhood:... with neighbourhood:Moore or any other appropriate neighbourhood to run it in Golly

@TABLE
n_states:2
neighborhood:[(0, 0), (-3, 0), (-2, 0), (-1, 0), (0, -3), (0, -2), (0, -1), (0, 1), (0, 2), (0, 3), (1, 0), (2, 0), (3, 0), (0, 0)]
symmetries:permute

var _any.0.0 = {0, 1}
var _any.1.0 = _any.0.0
var _any.2.0 = _any.0.0
var _any.3.0 = _any.0.0
var _any.4.0 = _any.0.0
var _any.5.0 = _any.0.0
var _any.6.0 = _any.0.0
var _any.7.0 = _any.0.0
var _any.8.0 = _any.0.0
var _any.9.0 = _any.0.0
var _any.10.0 = _any.0.0
var _any.11.0 = _any.0.0

0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, _any.0.0, _any.1.0, _any.2.0, _any.3.0, _any.4.0, _any.5.0, _any.6.0, _any.7.0, _any.8.0, _any.9.0, _any.10.0, _any.11.0, 0

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

Nice finds, everyone! I did not expect the factorial/factorialship to be the most common object in C1!

I expected for someone to apgsearch and LCAS this rule within the first 7 days of the thread, but I didn't expect the same person to do both.

Now that we have an obscenely large amount of SLs, p2s, and c/1os, the main priorities for now are:
- Find the missing periods
- Develop a nomenclature for SLs, p2s, and c/1os

We can start small at first, and gradually expand it. Of course, the nomenclature will always be infinite.

Also, here's a draft Lifewiki article for Factorio on my userpage.

https://conwaylife.com/wiki/User:H._H._ ... A:Factorio

It's still a work in progress (with a lot of things to add). You can suggest edits on my Talk page.

Pattern collection:

Code: Select all

# Factorio pattern collection 1.2
# Rule by H. H. P. M. P. Cole
# With contributions by H. H. P. M. P. Cole, FWKnightship, May13, and wildmyron
# p1, p2, p3, p4, p5, p6, p8, p9, p12, c/1o, 2c/2o, c/2o, c/3d
x = 441, y = 389, rule = R3,C2,S2,B3,N+
191bo12bo12bo10bo$191bo12bo12bo10bo$171bo19bo12bo12bo10bo15bobobo$171b
o$65bo11bo8bo15bo7bo9bo8bo41b2o14bo12bo12bo10bo23bo$65bo11bo8bo15bo7b
o9bo8bo57bo3bo8bo3bo8bo3bo6bo3bo67bobobo53bobobo$41bobobo19bo11bo8bo15b
2o6b2o8b2o7b2o22bo18bo14b2o11b2o11b2o9b2o18bobobo2bobobo$153bo18bo2bo
10bo12bo96bo23bo33bo$17b3o21bo61bo7bo9bo8bo22bo17bo3bo68bo6bo68bo$17b
obo45bo11bo8bo16bo7bo9bo8bo18bo37bo12bo12bo10bo71bobobo53bobobo6bo$17b
3o21bobobo56bo7bo9bo8bo19bo49bo25bo18bobobo2bobobo13bo6bo42b3o43bo$134b
o14bo3bo115bo6bo42bobo41b3o$76bo8bo17bo7bo9bo8bo3bo15bo116bobo6bo17b9o
15bo3bo29b9o2bobo7b2o$39b9o28bo8bo47b2o105b18o12bo49bo42b3o8bobo$76b2o
7b2o48bo13bo118bo105bo2bo$77bo5bo2bobo23bo9bo87bo11bo9bo34bo8bo43bo$112b
o9bo52bo3bo6bo3bo6bo3bo8bo11bo9bo63bobobo53bobobo17b3o$43bo67b2o8b2o40b
o7bo3bo3bo6bo3bo6bo3bo8bo11bo9bo14bobobo18bo6bo100bo$111bo7bobo2bo38b
o7bo3bo3bo6bo3bo6bo3bo75bo22bo19bo37bo$41bobo21bo12bo13bo70bo7bo43bo11b
o23bo25bo42bo$65bo12bo13bo52bo7bo5bo50bo4bo6bo4bo4bo63bobobo53bobobo$
43bo21bo12bo13bo52bo7bo5bo15bo3bo6bo3bo6bo3bo10bo2bo8bo2bo2bo16bobobo
25bo$145bo7bo5bo3bo7bo4bo10bo11bo14bo11bobo67bo61bo$43bo17bo12bo13bo60b
o15bo8bo72bo$61bo3bo8bo3bo9bo3bo56bo16bo129bobobo53bobobo$41bobobo15b
2o11b2o12b2o13bo7bo9bo8bo14bo3bo3bo5bo5bo81bobobo$60bo12bo13bo15bo7bo
9bo8bo17bobo11bo3bo$79bo13bo8b2o6b2o8b2o7b2o$79bo13bo55bo$78b2o12b2o8b
o7bo9bo8bo$78bo11bobo2bo6bo7bo9bo8bo54bo$103bo7bo9bo8bo53bo$184bo2bo$
102bo7bo9bo8bo4bo$103bo7bo9bo8bo3bo52bo$133b2o52bo$135bo48bo$112bo9bo
$112bo9bo64bo$111b2o8b2o$111bo7bobo2bo2$344bo3b2o2$345bo3$345bo$345bo
$328b3o19b3o21b3o2$277bobobo$330bo21bo21bo$142bobobo6b2o7bobo7b2o7b2o
7b2o89bo48bo21bo21bo$152bo2bo5bobo6b2o8bobo6b2o139bo21bo21bo$146bo132b
obo$313b2o20b2o20b2o20b2o11b3o12b3o13b3o12b3o$2bo10b2o127bobobo134bo$
13b2o280b2o15bo2bo18bo2bo18bo2bo18bo2bo56b3o$obo139bo134bobobo14b2o13b
o4bo16bo4bo16bo4bo16bo4bo11bo14bo13bo$309bo8bo12bo8bo12bo8bo12bo8bo9b
o14bo13bo$2bo139bobobo5b2obo5bob2o5b2obo135bo8bo12bo8bo12bo8bo12bo8bo
9bo14bo6bo6bo6bo7b3o$153b2o7bobo7b2o122b2o13bo4bo16bo4bo16bo4bo16bo4b
o33bo13bo$2bo28bo263b2o15bo2bo18bo2bo18bo2bo18bo2bo14b3o2bo9b3o2bo8b3o
2bo7b3o$13b2o7b2o6bob2o5bobo2bo356bo$obobo8bobo7b2o6bo7bo2bobo268b2o20b
2o20b2o20b2o20bo$14b2o6bobo6bo3$152bo8bo9bo8bo8bo9bo6bo8bo$153bo8bo7b
o8bo10bo7bo6b2o8bobo$152bobo6bo2bo6bobo6b2o6b2o7b2o8b2o5bobo108bo13bo
27bo13bo$153bobo6b2o6bobo6bo2bo7b2o7b2o6bo8bo89b3o2bo7b3o2bo8b2o2bo10b
3o2bo7b3o2bo8b2o2bo10b3o2bo$13b2o7b2o7bobo6bo2bo5bo2bo6bobo6bobo228b2o
10bo13bo27bo13bo27bo$13bobo6bo2bo5b2o7b2o7bobo6bo2bo5b2o242bo13bo27bo
13bo27bo$14bobo6b2o8b2o7b2o6bobo6b2o8b2o227bo2bo16bo6bo13bo20bo6bo13b
o$15b2o7b2o6bobo6b2o7b2o6bobo6bobo227bo4bo15bo20bo6bo13bo20bo6bo$295b
o8bo27bo13bo27bo13bo$153bo10bo6bo10bo6bo8bo96bo8bo27bo13bo27bo13bo$155b
o6bo10bo6bo8bobo5b2o98bo4bo9b2o2bo10b3o2bo7b3o2bo8b2o2bo10b3o2bo7b3o2b
o$152b2o7b2o7bo2bo5bo2bo7bo8bo98bo2bo16bo27bo13bo27bo$154b2o7b2o6b2o7b
2o6bobo8b2o$299b2o$13bo2bo5bobo6b2o9b2o6bobo7b2o$14bobo6bobo5bo2bo5b2o
7bobo7b2o$14b2o7b2o8b2o5bo2bo5bo2bo5b2o$13bobo6bo2bo6b2o7b2o7b2o6bo2b
o278b3o$152bo8bo10bo6bo$152b2o7bo2bo7b2o7b2o$154bo8bo6bo10bo158bo$154b
2o6b2o6b2o7b2o159bo$340bo2$14b2o6bobo6bobo6b2o8b2o7bobo5bo2bo261bob3o
$13bo2bo5bobo7bobo5b2o8b2o6bobo7b2o263bo$13bo2bo6bobo5bobo8b2o5bo2bo5b
obo7b2o$14b2o7bobo6bobo7b2o5bo2bo6bobo5bo2bo84bo5bo11bo5bo$152bo11bo7b
2o7b2o150bo$154b2o7b2o5b2o7b2o152bo$152b2o7b2o7bo11bo150bo$325bo3b2o$
93b3o7b2o3b2o$91b2o3b2o7b3o218bo$14b3o8b2o2b2o25b2o7bob2o7bob2o11b2o3b
2o5b2o3b2o$13bo3bo7bo4bo8b3o24bo10bo$13bo3bo19b2o3b2o22bo10bo74bo8bo164b
o$13bo3bo38b2o8bo10bo74b2o7bobo162bo$14b3o8bo4bo6b2o3b2o9bo101bo8bo154b
3o$25b2o2b2o8b3o11bo100b2o6bobo$53bo37bobobobo$49b2o15bo10bo13b2o3b2o
221bo$66bo10bo14bobobo222bo$66bo10bo241bo$49b2o14bob2o6b2obo$152b2o7b
obo147bob3o$13b2o9b2o126bo8bo150bo$13b2o9b2o129bo8bo$15b2o9b2o126b2o6b
obo$15b2o9b2o284bo$17b2o9b2o282bo$17b2o9b2o282bo$30b2o74b2o2b2o192bo3b
2o$30b2o$305bo$64bob2o11bob2o23bo4bo9bob2o$65bo14bo39bobo3bo2bo$65bo14b
o224bo$65bo14bo25bo4bo8bobo3bo2bo22bobo2bo5bo3b2o8b2o3bo122bo$121bob2o
27bobo2bo6b2o3bo6bo2bobo116b3o$54b3o$38b3o11b2o3bo48b2o2b2o$36b2o3bo15b
o7bo14bo217bo$36b2o3bo10b2o3bo7bo14bo217bo$18b2o5bobo6b2o5bo12bobo8bo
14bo170bo4bo41bo$34b2o3b2o7bobo3bobo194b2o2b2o$33bo5b2o7bobo138bobo5b
obo8b2o7b2o2bo7bobobo7bo2b2o7bo49b2o$18b2o5bobo5bo3b2o8bo3b2o100bobo6b
obo6b2o6b2o$15bo10bo6bo3b2o8bo17bo14bo73bo8bo9bo7bo5bo114bo2bo$15bo10b
o7b3o10bo3b2o12bo14bo71bo3bo6bo6bo3bo6bo6bo2bo4bobobo5b2o2bo8bo10bo11b
o58bo4bo$15bo10bo21b3o14bo14bo73bo6bo3bo7bo4bo3bo4bo111bo8bo$64bob2o10b
2obo36b2o2b2o30bo8bo9bo7bo5bo111bo8bo$197bobo8b2o7b2o2bo7bobobo7bo2b2o
7bo47bo4bo$117bo2b2o2bo126bo4bo45bo2bo$15bo10bo90b2o4b2o126b2o2b2o$15b
o10bo276b2o$15bo10bo$13b2obo7b2obo91bo2bo3$119bo2bo30bobo5b2o8bo2bo$153b
o8bo8b2obo$152bob2o5bob2o6bob2o$152b2o8bobo6bo2bo$91b3o3b3o12bob2o$90b
o9bo12bo$90bo9bo12bo$19bo2bo2bo10bo2bo2bo2bo12bo2bo2bo25bo9bo12bo252b
2o5b2o$237bo94bobo9b2obo3bob2o$200bobo11bo2bo7bo2bo6bo61b2o8b2o9b3o8b
obo13bo2bobo2bo12b2o5b2o$19bo5bo10bo8bo12bo5bo2bo107bobo10b2o45bo41bo
3bo15b2o8b2o9bo2bo42bo3bo3bo3bo$90bo9bo12bo39bobo6b2o157bo7bobo$90bo9b
o12bo9bo28bo3bo4bo3bo8bo2bo8bo2bo10b2o12b2o9bobo9bo39bo3bo38b2o10bobo
29bo3bo3bo3bo$19bo2bo2bo10bo8bo12bo2bo5bo22bo9bo12bo9bo30bo9bo8bo11bo
11bo13bo10bo13bo60bo10bo$91b3o3b3o14b3o3b3o31bo9bo8bo11bo11bo13bo10bo
13bo40bobobo$123bo30bo9bo8bo11bo11bo13bo10bo13bo60bo10bo$36bo2bo2bo2b
o15bo2bo2bo213bo2$281bo15b2o9b2o8b3o$154bo9bo8bo11bo11bo13bo10bo13bo60b
2o9b2o10b2o25bo2bo$154bo9bo8bo11bo11bo13bo10bo13bo84bo9bo2bo12bo2bo$154b
o9bo8bo11bo11bo13bo10bo13bo81bo2bo7bo2bo12b2o4b2o13b2o5b2o$152b2obo6b
2obo5b2obo8b2obo8b2obo10b2obo7b2obo10b2obo$329bo2bo31bo3bo3bo3bo$331b
o2bo10b2o4b2o13b2o5b2o$347bo2bo$17bo2bo2bo2bo2bo6bo2bo2bo2bo2bo298bo2b
o13bo3bo3bo3bo3$17bo11bo6bo11bo$152bo51bo11bo11bo$157b2o10b3o6b3o7b3o
13bobo9b2o10b2o9b2o3bo5b2o$17bo11bo6bo11bo10b2o2b2o2b2o83bo2bo3bo12bo
5b3o10bo14bo10bo11bo10b2o5bo3b2o$59bo8bo83bo16b3o9bo9bo$117b2o3b2o48b
o8bo6b3o105bo2b2o6bobobo6bo2b2o6bobobo12bo2bo33bo3bo9bo2bo$17bo2bo2bo
2bo2bo6bo11bo68b2o3b2o78b2o9bobo9b2o69bobobo6bo2b2o17bo3bo31bo2bobo2b
o$59bo8bo50bobo79b3o9b3o9b3o91bo12bo13bo2bo47bo2bo2bo$59b2o2b2o2b2o228b
o10bo9bobobo8bo52b2o3bo$36bo2bo2bo2bo2bo70bobo117bobo2bo5b2o44bo2b2o6b
obobo6bo2b2o6bobobo30b2obo3bob2o$117b2o3b2o80bo11bo11bo11b2o5bo2bobo96b
o2bobo45bo2bo$117b2o3b2o80b2o10b2o10b2o157b2o$205bo11bo11bo135bo2bobo
2bo$352bobo2$297b2o10b2o9b2o$296bo2b2o17bo3bo$18b2o2b2o2b2o9b2o2b2o2b
2o2b2o8b2o2b2o2b2o2b2o223bobobo6bo2b2o6bo2b2o$18bo8bo9bo12bo8bo12bo165b
o2bo4bobo58b2o2bo8bo$163bob2o7bo5bo5bo12bo2b2o5bo2b2o5bobobo5bobobo6b
2obob2o50b2o10b2o9b2o$89bo2bo59bo12b3o6b3ob3o6bob2o10bo8bo11bo7bo102b
o7bo7bo7bo7bo7b2o6bo9bo9bo7bo9bo$18bo8bo9bo12bo8bo12bo79bobo2bo29bob2o
143bobo6b2o6b2o5bobo5b2o14b2o7b2o2bobo2b2o$18bo8bo9bo12bo8bo12bo101b3o
b3o6bob2o145bo7bo22bo7b2o5bo26b2o2bobo2b2o$89bo2bo22bo2bo4bo2bo25bobo
2bo7b3o6bo5bo10bo7bo2b2o5bo2b2o5bobobo5bobobo118bo7bo13b2o16bo7bo9bo7b
o$118b2o2b2o33bo5bob2o33b2o8b2o8bobo7bobo102b2o5bobo5bobo6b2o6b2o13bo
bo$18bo8bo9bo12bo8bo12bo11bo2bo27bo10bo111bobo5bobo86b2o5bobo5bobo6b2o
6b2o13bobo$18b2o2b2o2b2o9b2o2b2o2b2o2b2o8bo12bo20bobo143bobobob2o105b
o7bo13b2o16bo7bo9bo7bo$115bo10bo209bo7bo22bo7b2o5bo26b2o2bobo2b2o$84b
o2bo5bobo22b2o2b2o210bobo6b2o6b2o5bobo5b2o14b2o7b2o2bobo2b2o$59bo12bo
17bobo5bo2bo13bo2bo4bo2bo206bo7bo7bo7bo7bo7b2o6bo9bo9bo7bo9bo$59b2o2b
2o2b2o2b2o$90bobo64bo2bo5bo5bo2bo14bo2bo2bo5bo2bo2bo$98bo2bo2$93bo2bo
60bo2bo2bo5bo2bo2bo14bo8bo8bo2$297bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
$93bo2bo63bo11bo17bo2bo2bo5bo2bo2bo2$296b2o101b2o$157bo2bo2bo5bo2bo2b
o14bo8bo8bo$296b2o101b2o2$18bo2bo2bo51bo2bo2bo74bo2bo5bo5bo2bo14bo2bo
2bo5bo2bo2bo3$18bo5bo51bo5bo110bo11bo2$23bobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo219b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$18bo
2bo2bo51bo2bo2bo107bo2bo2bo5bo2bo2bo$23bo53bo$294bo2bo100bo2bo$23bo53b
o112bo2bo5bo5bo2bo$294bo2bo100bo2bo$23bo53bo2$23bo53bo2$23bo53bo78bo2b
o2bo2bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo$18bo2bo2bo51bo
2bo2bo$23bobobobobobobobobobobobobobobobobobobobobobobobobobobobo$156b
o8bo2bo2bo5bo10bo5bo2bo2bo5bo11bo5bo2bo2bo5bo99b3o2b2o$18bo5bo51bo5bo
259bo$334bo$156bo8bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo97b
o$18bo2bo2bo51bo2bo2bo251bo7bo$342bo$156bo2bo2bo2bo8bo16bo11bo17bo11b
o108bo$277bobobo52bo$289bo8bo12b3o2b2o10b3o2b2o9b3o2b2o$168bo2bo2bo2b
o10bo2bo2bo2bo2bo2bo2bo11bo2bo2bo5bo2bo2bo40bo39bo32bo$289bob6obo10bo
16bo$277bobobo7bob6obo10bo16bo$168bo8bo10bo17bo11bo5bo2bo2bo5bo72bo7b
o8bo23bo$281bo10bo2bo21bo32bo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo196b
o32bo$168bo8bo10bo17bo11bo2bo2bo5bo2bo2bo40bobobo27bo16bo$309b2o2b3o10b
2o2b3o9b2o2b3o$18bo101bo221bo$168bo2bo2bo2bo10bo2bo2bo2bo2bo2bo2bo127b
o$334bo$18bo101bo213bo7bo$342bo$342bo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo213bo$334b2o2b3o3$153b2o3bo4bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo4bo3b2o$154b2o5bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo5b2o4$18b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o$18bo104bo2$153b2o3bo5bo5bo5bo5bo5bo5bo5bo5bo
5bo5bo5bo5bo5bo5bo5bo5bo3b2o17bobobo9b2o3bo$18bo104bo30b2o5bo5bo5bo5b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b2o37bo$18b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o153bo11bo3bo2bo2$277bobobo2$277bo3bo2$18bo99bo34b2o3b
2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b
2ob2o3b2ob2o3b2ob2o3b2o13bobobo35bobo6b2o13b2o8b2o8bobo6bobo10b2o9b2o
$19b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
172b2o9bo2bo76bo3bo6bo3bo$18bo99bo170bo2bo9b2o$18bo99bo35bo107bo53bo2b
o5bobo12b2o8bobo7bo2bo7b2o$382bobo8b2o$289bobo9bobo79bobo9b2o$153bo109b
o26bobo9bobo13b2o7b2o13b2o7bobo6b2o7b2o$153b2o107b2o$154bo107bo$316b2o
7b2o14b2o8b2o7bobo6bobo3$16bobo107bobo161b2o9bo2bo$18bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo162bo2bo9b2o78bobo8bobo$16bo111bo252bo3bo6bo
3bo$260bo80b2o7b2o7b2o$16bo111bo26bo103b2o28b2o10b2o13bo2bo5bobo$18bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo29bo102bo31b2o10b2o78b2o8b2o$16b
obo107bobo27bo183bobo6b2o8b2o21bo2bo9b2o$317bobo6b2o$155bo104bo$340bo
bo6b2o7bobo$318b2o7b2o$154b2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o
2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o31b2o
8b2o$289b2o12b2o35b2o7bobo6b2o$86bo2bo2bo2bo220b2o7b2o$154bo104bo$262b
o26bobo9bobo$83bo2bo8bo2bo191bobo9bobo$154bo107bo$259bo$80bo2bo14bo$154b
o2$77bo2bo17bo160bo$154bo107bo2$74bo2bo17bo2bo163bo$154bo104bo$289b2o
7b2o$71bo2bo17bo2bo194bobo3bobo$154b2o2bobob2o2bobob2o2bobob2o2bobob2o
2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobo
b2o2$68bo2bo17bo2bo197bobo3bobo$155bo104bo28b2o7b2o2$65bo2bo17bo2bo66b
o$156bo102bo$155bo103b2o$62bo2bo17bo2bo173bo3$59bo2bo17bo2bo3$56bo2bo
17bo2bo3$53bo2bo17bo2bo3$50bo2bo17bo2bo2$277bobobo$47bo2bo17bo2bo218b
obo$277bo3bo7b2o3bo$294bo$44bo2bo17bo2bo208bobobo15bo$297bo3b2o$277bo
3bo17bobo$41bo2bo17bo2bo$277bobobo2$41bo17bo2bo3$41bo14bo2bo2$277bobo
bo7bobo$41bo2bo8bo2bo232b2o$277bo3bo10bo$292bo$44bo2bo2bo2bo223bobobo
$290bo$281bo8bo$292b2o$277bobobo9bobo8$291bo8bo6bo2bo8bo8bo6bo2bo$272b
o4bobobo$289b2o7b2o7bobo7b2o7b2o7bobo$270bobo8bo7b2o7b2o7bobo7b2o7b2o
7bobo2$272bo4bobobo7bo8bo8bo9bo8bo8bo$317bo8bo8bo$272bo4bo11bo8bo8bo9b
o8bo8bo2$270bobobo2bobobo7b2o7b2o7bobo7b2o7b2o7bobo$289b2o7b2o7bobo7b
2o7b2o7bobo$298bobo25bobo$291bo15bo2bo8bo15bo2bo!

Also, can someone give an attempt to describe how this rule looks like? I'm not good at describing rules.

EDIT: the C1 census is going along very nicely. Can someone expand it further?

[Haycat2009]

Factorio is semi-stable as it produces few objects at 50% density, but at 20% density, it settles into a cloud of chaos that generally deposits nothing.

[lemon41625]

I found these c/2o with cfind. Also its great to have finally found time to do some CA again haha.

Code: Select all

x = 0, y = 0, rule = R3,C2,S2,B3,N+
.A6.A.$.A6.A.$10.$.3A2.3A.$2.2A2.2A2.$10.$3.4A3.$10.$.A6.A.$.A2.2A2.A.$.A.A2.A.A.$3.A2.A3.$2A6.2A$A8.A$.2A.2A.2A.$A8.A$10.$2A.A2.A.2A$10.$.A6.A.$10.$.A6.A.$.A6.A!

Code: Select all

x = 0, y = 0, rule = R3,C2,S2,B3,N+
A8.A$A8.A$10.$A.2A2.2A.A$2.2A2.2A2.$10.$A2.A2.A2.A$10.$10.$3.A2.A3.$2.A4.A2.$A3.2A3.A$A8.A$A8.A$10.$10.$10.$A8.A$A8.A$.A6.A.$10.$2A6.2A$10.$4.2A4.$4.2A4.$4.2A!

Also found this 2c/3o partial for width 5 even-symmetric but the program terminated so the search probably needs to be continued at a larger width.

Code: Select all

x = 0, y = 0, rule = R3,C2,S2,B3,N+
A8.A$A.A4.A.A$A8.A$4.2A4.$10.$.3A2.3A.$A2.A2.A2.A$A8.A$A8.A$4.2A4.$.2A4.2A.$A2.A2.A2.A$10.$2.A4.A2.$3A.2A.3A$10.$4.2A4.$A.2A2.2A.A$A8.A$.2A4.2A.$10.$4A2.4A$A8.A$A8.A$2A6.2A$2.2A2.2A2.$10.$2.A4.A2.$.2A4.2A.$10.$.A6.A.$.A.4A.A.$A8.A!

P.S. will update https://jedlimlx.github.io/gliderdb-searcher soon maybe

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

Thanks, wildmyron and b3s23love for making more hauls in C1!

More spaceship speeds and oscillator periods, anyone?

Priorities for now:

- improve the names for 4-cell objects
- enumerate small SLs, p2, and c/1os up to 7 cells
- make a good nomenclature for SLs, p2, and c/1os up to 7 cells
- find some conduits and/or useful reactions
- stabilize some wicks
- do a SL, p2, and c/1o chemistry
- census common small evolving patterns
- find methuselahs and hasslers

Names for 4-cell patterns:

Code: Select all

x = 149, y = 80, rule = R3,C2,S2,B3,N+
2o13bobo13bo2bo$2o13bobo13bo2bo9$15bobo13bo2bo2$15bobo13bo2bo9$31bo2b
o3$31bo2bo17$2b2o11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo
$bo2bo9bo3bo10bo4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o9$2b2o
11b2o14b2o12bobo15bobo15b2o15b2o10bobo9b2o12b2o8bobo2$bo2bo9bo3bo10bo
4bo9bo3bo13bobo14b2o16bobo9bo2bo7bo2bo11b2o8b2o9$2b2o11b2o14b2o12bobo
15bobo15b2o15b2o10bobo9b2o12b2o8bobo3$bo2bo9bo3bo10bo4bo9bo3bo13bobo14b
2o16bobo9bo2bo7bo2bo11b2o8b2o14$bo2b3o!
[[
LABEL 1 -2 8 "Block"
LABEL 16 -4 8 "(1,0) stretched \nblock"
LABEL 33 -4 8 "(2,0) stretched \nblock"
LABEL 16 6 8 "(1,1) stretched \nblock"
LABEL 33 6 8 "(2,1) stretched \nblock"
LABEL 33 16 8 "(2,2) stretched \nblock"
LABEL 3 39 8 "Moon"
LABEL 16 35 8 "(1,0,0,0)\n-stretched \nmoon"
LABEL 32 35 8 "(1,0,1,0)\n-stretched \nmoon"
LABEL 46 35 8 "(0,1,0,0)\n-stretched \nmoon"
LABEL 3 45 8 "(0,0,0,1)\n-stretched \nmoon"
LABEL 16 45 8 "(1,0,0,1)\n-stretched \nmoon"
LABEL 32 45 8 "(1,0,1,1)\n-stretched \nmoon"
LABEL 46 45 8 "(0,1,0,1)\n-stretched \nmoon"
LABEL 3 56 8 "(0,0,0,2)\n-stretched \nmoon"
LABEL 16 56 8 "(1,0,0,2)\n-stretched \nmoon"
LABEL 32 56 8 "(1,0,1,2)\n-stretched \nmoon"
LABEL 46 56 8 "(0,1,0,2)\n-stretched \nmoon"
LABEL 64 39 8 "Zigzag"
LABEL 64 46 8 "1-stretched \nzigzag"
LABEL 64 57 8 "2-stretched \nzigzag"
LABEL 80 39 8 "Line"
LABEL 80 46 8 "1-stretched \nline"
LABEL 80 57 8 "2-stretched \nline"
LABEL 98 37 8 "Reflector \nII"
LABEL 110 35 8 "(0,1,0)\n-stretched \nreflector II"
LABEL 122 35 8 "(1,0,0)\n-stretched \nreflector II"
LABEL 98 44 8 "(0,0,1)\n-stretched \nreflector II"
LABEL 110 44 8 "(0,1,1)\n-stretched \nreflector II"
LABEL 122 44 8 "(1,0,1)\n-stretched \nreflector II"
LABEL 98 55 8 "(0,0,2)\n-stretched \nreflector II"
LABEL 110 55 8 "(0,1,2)\n-stretched \nreflector II"
LABEL 122 55 8 "(1,0,2)\n-stretched \nreflector II"
LABEL 136 39 8 "Reflector"
LABEL 147 35 8 "(1,0)\n-stretched \nreflector"
LABEL 136 44 8 "(0,1)\n-stretched \nreflector"
LABEL 147 44 8 "(1,1)\n-stretched \nreflector"
LABEL 136 55 8 "(0,2)\n-stretched \nreflector"
LABEL 147 55 8 "(1,2)\n-stretched \nreflector"
LABEL 3 76 8 "Factorialship"
]]

Updated pattern collection:

Code: Select all

# Factorio pattern collection 1.3
# Rule by H. H. P. M. P. Cole
# With contributions by H. H. P. M. P. Cole, FWKnightship, May13, wildmyron, Haycat2009, lemon41625, and b3s23love
# p1, p2, p3, p4, p5, p6, p8, p9, p12, c/1o, 2c/2o, c/2o, c/3d
x = 420, y = 387, rule = R3,C2,S2,B3,N+
244bobobo$191bo12bo12bo10bo83bo8bo9bo7bo6bo7bo8bo$65bo11bo8bo15bo7bo9b
o8bo61bo12bo12bo10bo19bo19bo8bo8bo25bo8bo9bo7bo6bo7bo8bo$65bo11bo8bo15b
o7bo9bo8bo41bo19bo12bo12bo10bo39bo8bo8bo9bobobo71bobobo$41bobobo19bo11b
o8bo15b2o6b2o8b2o7b2o22bo17bo72bobobo2bobobo10bobo8b2o7bo24b3o7b3o5b3o
7b3o2b3o7bob2o2b2obo$153bo17b2o14bo12bo12bo10bo44bo5bo20bo14bobo8b2o5b
2o9b2o2b2o10b2o2b2o10bo$17b3o21bo61bo7bo9bo8bo22bo33bo3bo8bo3bo8bo3bo
6bo3bo15bo6bo15bo8bo33bo3bo5bo3bo3bo3bo$17bobo45bo11bo8bo16bo7bo9bo8b
o18bo22bo14b2o11b2o11b2o9b2o40bo11bo7bo9bobobo11bo8bo9bo9b4o9bo2bo2bo
2bo8bobobo6bo$17b3o21bobobo56bo7bo9bo8bo19bo22bo2bo10bo12bo44bobobo2b
obobo127bo$134bo14bo3bo17bo3bo93bo5bo11bo24bo8bo9bo7bo6bo34b3o$76bo8b
o17bo7bo9bo8bo3bo15bo36bo12bo12bo10bo62bo6b9o36bo2b2o2bo10bo2bo9b9o2b
obo7b2o$39b9o28bo8bo47b2o64bo25bo14b18o29bo51bobo2bobo9bo4bo19b3o8bob
o$76b2o7b2o48bo13bo162bo8bo9bo9bo2bo9bo3b2o3bo28bo2bo$77bo5bo2bobo23b
o9bo164bo24bo8bo9bo6b2o6b2o6bo8bo$112bo9bo173bobobo37bo8bo6bo8bo8bobo
bo17b3o$43bo67b2o8b2o40bo83bobobo87b2ob2ob2o49bo$111bo7bobo2bo38bo46b
o11bo9bo67bo37bo8bo28bo$41bobo21bo12bo13bo70bo11bo3bo6bo3bo6bo3bo8bo11b
o9bo18bo$65bo12bo13bo52bo7bo5bo11bo3bo3bo6bo3bo6bo3bo8bo11bo9bo63bobo
bo37b2obo2bob2o6bo8bo8bobobo$43bo21bo12bo13bo52bo7bo5bo11bo3bo3bo6bo3b
o6bo3bo45bobobo102bo8bo$145bo7bo5bo3bo7bo43bo11bo68bo42bo6bo8bo6bo13b
o$43bo17bo12bo13bo60bo15bo44bo4bo6bo4bo4bo14bo$61bo3bo8bo3bo9bo3bo56b
o16bo8bo3bo6bo3bo6bo3bo10bo2bo8bo2bo2bo65bobobo38bo6bo7b2o6b2o8bobobo
$41bobobo15b2o11b2o12b2o13bo7bo9bo8bo14bo3bo3bo5bo5bo5bo4bo10bo11bo14b
o11bobo18bobobo87bo6bo$60bo12bo13bo15bo7bo9bo8bo17bobo11bo3bo7bo183b2o
$79bo13bo8b2o6b2o8b2o7b2o227b2o$79bo13bo55bo208b2o$78b2o12b2o8bo7bo9b
o8bo$78bo11bobo2bo6bo7bo9bo8bo$103bo7bo9bo8bo2$102bo7bo9bo8bo4bo49bo$
103bo7bo9bo8bo3bo49bo15bo$133b2o49bo2bo12bo$135bo64bo$112bo9bo64bo$112b
o9bo64bo18bo$111b2o8b2o61bo15bo5bo$111bo7bobo2bo78bo2bo$187bo16bo189b
3o9b3o$344bo3b2o$206bo$345bo48bo13bo$394bo13bo$394bo13bo$345bo$345bo46b
2obo14b3o2bo$328b3o19b3o21b3o38bo$415bo$277bobobo$330bo21bo21bo$142bo
bobo6b2o7bobo7b2o7b2o7b2o89bo48bo21bo21bo$152bo2bo5bobo6b2o8bobo6b2o139b
o21bo21bo$146bo132bobo$313b2o20b2o20b2o20b2o11b3o13b3o$2bo10b2o127bob
obo134bo$13b2o280b2o15bo2bo18bo2bo18bo2bo18bo2bo$obo139bo134bobobo14b
2o13bo4bo16bo4bo16bo4bo16bo4bo11bo13bo$309bo8bo12bo8bo12bo8bo12bo8bo9b
o13bo$2bo139bobobo5b2obo5bob2o5b2obo135bo8bo12bo8bo12bo8bo12bo8bo9bo6b
o6bo6bo$153b2o7bobo7b2o122b2o13bo4bo16bo4bo16bo4bo16bo4bo18bo13bo$2bo
28bo263b2o15bo2bo18bo2bo18bo2bo18bo2bo14b3o2bo8b3o2bo$13b2o7b2o6bob2o
5bobo2bo$obobo8bobo7b2o6bo7bo2bobo268b2o20b2o20b2o20b2o$14b2o6bobo6bo
3$152bo8bo9bo8bo8bo9bo6bo8bo189b3o$153bo8bo7bo8bo10bo7bo6b2o8bobo$152b
obo6bo2bo6bobo6b2o6b2o7b2o8b2o5bobo188b3o$153bobo6b2o6bobo6bo2bo7b2o7b
2o6bo8bo$13b2o7b2o7bobo6bo2bo5bo2bo6bobo6bobo$13bobo6bo2bo5b2o7b2o7bo
bo6bo2bo5b2o336b3o$14bobo6b2o8b2o7b2o6bobo6b2o8b2o254bo13bo27bo13bo$15b
2o7b2o6bobo6b2o7b2o6bobo6bobo236b3o2bo7b3o2bo8b2o2bo10b3o2bo7b3o2bo8b
2o2bo10b3o2bo9b3o$299b2o10bo13bo27bo13bo27bo$153bo10bo6bo10bo6bo8bo112b
o13bo27bo13bo27bo$155bo6bo10bo6bo8bobo5b2o99bo2bo16bo6bo13bo20bo6bo13b
o$152b2o7b2o7bo2bo5bo2bo7bo8bo97bo4bo15bo20bo6bo13bo20bo6bo$154b2o7b2o
6b2o7b2o6bobo8b2o94bo8bo27bo13bo27bo13bo$295bo8bo27bo13bo27bo13bo$13b
o2bo5bobo6b2o9b2o6bobo7b2o235bo4bo9b2o2bo10b3o2bo7b3o2bo8b2o2bo10b3o2b
o7b3o2bo$14bobo6bobo5bo2bo5b2o7bobo7b2o237bo2bo16bo27bo13bo27bo$14b2o
7b2o8b2o5bo2bo5bo2bo5b2o$13bobo6bo2bo6b2o7b2o7b2o6bo2bo237b2o$152bo8b
o10bo6bo$152b2o7bo2bo7b2o7b2o$154bo8bo6bo10bo$154b2o6b2o6b2o7b2o159b3o
3$14b2o6bobo6bobo6b2o8b2o7bobo5bo2bo269bo$13bo2bo5bobo7bobo5b2o8b2o6b
obo7b2o270bo$13bo2bo6bobo5bobo8b2o5bo2bo5bobo7b2o270bo$14b2o7bobo6bob
o7b2o5bo2bo6bobo5bo2bo84bo5bo11bo5bo$152bo11bo7b2o7b2o149bob3o$154b2o
7b2o5b2o7b2o152bo$137bob2o11b2o7b2o7bo11bo$117bob2o6bob2o$93b3o7b2o3b
2o8bo2bo6bo2bo6bo2bo191bo$91b2o3b2o7b3o20bo2bo6bo2bo191bo$14b3o8b2o2b
2o25b2o7bob2o7bob2o11b2o3b2o5b2o3b2o8bo2bo211bo$13bo3bo7bo4bo8b3o24bo
10bo41b2obo6b2obo6b2obo182bo3b2o$13bo3bo19b2o3b2o22bo10bo74bo8bo$13bo
3bo38b2o8bo10bo74b2o7bobo162bo$14b3o8bo4bo6b2o3b2o9bo101bo8bo$25b2o2b
2o8b3o11bo100b2o6bobo$53bo37bobobobo228bo$49b2o15bo10bo13b2o3b2o228bo
$66bo10bo14bobobo222b3o$66bo10bo$49b2o14bob2o6b2obo$152b2o7bobo155bo$
13b2o9b2o126bo8bo157bo$13b2o9b2o129bo8bo154bo$15b2o9b2o126b2o6bobo$15b
2o9b2o283bob3o$17b2o9b2o282bo$17b2o9b2o$30b2o74b2o2b2o6bobo7b2o2b2o$30b
2o85bo3bo190bo$118bobo6bo2b2o2bo177bo$64bob2o11bob2o23bo4bo5bo3bo5b2o
4b2o177bo$65bo14bo36bo3bo182bo3b2o$65bo14bo$65bo14bo25bo4bo6bobo8bo2b
o19bobo2bo5bo3b2o8b2o3bo122bo$152bobo2bo6b2o3bo6bo2bobo$54b3o$38b3o11b
2o3bo48b2o2b2o6bobo8bo2bo172bo$36b2o3bo15bo7bo14bo224bo$36b2o3bo10b2o
3bo7bo14bo217b3o$18b2o5bobo6b2o5bo12bobo8bo14bo10bo2bo156bo4bo$34b2o3b
2o7bobo3bobo34bo2bo156b2o2b2o$33bo5b2o7bobo38b2o98bobo5bobo8b2o7b2o2b
o7bobobo7bo2b2o7bo9bo2bo31bo$18b2o5bobo5bo3b2o8bo3b2o100bobo6bobo6b2o
6b2o117bo$15bo10bo6bo3b2o8bo17bo14bo73bo8bo9bo7bo5bo73bo36bo$15bo10bo
7b3o10bo3b2o12bo14bo8b2o37bobobobo17bo3bo6bo6bo3bo6bo6bo2bo4bobobo5b2o
2bo8bo10bo11bo21b2o$15bo10bo21b3o14bo14bo73bo6bo3bo7bo4bo3bo4bo73bo41b
2o$64bob2o10b2obo72bo8bo9bo7bo5bo73bo$128b2o3b2o62bobo8b2o7b2o2bo7bob
obo7bo2b2o7bo48bo2bo$129bo3bo117bo4bo44bo4bo$15bo10bo224b2o2b2o42bo8b
o$15bo10bo272bo8bo$15bo10bo102bo3bo167bo4bo$13b2obo7b2obo100b2o3b2o167b
o2bo2$303b2o$128bobobobo18bobo5b2o8bo2bo$153bo8bo8b2obo$152bob2o5bob2o
6bob2o76bobo$152b2o8bobo6bo2bo75bo3bo$91b3o3b3o12bob2o134bo3bo$90bo9b
o12bo134b2o5b2o$90bo9bo12bo133bo9bo139bo$19bo2bo2bo10bo2bo2bo2bo12bo2b
o2bo25bo9bo12bo16b2o3b2o229b2o5b2o10bo10bo11bo$130b2o3b2o100bo9bo9bo74b
obo9b2obo3bob2o30b2o9bo11b2o$132bobo65bobo11bo2bo7bo2bo6bo12b2o5b2o40b
2o8b2o9b3o8bobo13bo2bobo2bo12b2o5b2o22bo11bo$19bo5bo10bo8bo12bo5bo2bo
107bobo10b2o45bo14bo3bo22bo3bo15b2o8b2o9bo2bo42bo3bo3bo3bo9bo$90bo9bo
12bo18bobo18bobo6b2o86bo3bo66bo7bobo$90bo9bo12bo9bo6b2o3b2o15bo3bo4bo
3bo8bo2bo8bo2bo10b2o12b2o9bobo9bo13bobo23bo3bo38b2o10bobo29bo3bo3bo3b
o8bo3b2o5bo2bobo6bo3b2o$19bo2bo2bo10bo8bo12bo2bo5bo22bo9bo12bo9bo6b2o
3b2o17bo9bo8bo11bo11bo13bo10bo13bo60bo10bo79bo2bo7bo2bo$91b3o3b3o14b3o
3b3o31bo9bo8bo11bo11bo13bo10bo13bo40bobobo$123bo30bo9bo8bo11bo11bo13b
o10bo13bo60bo10bo102bo2bo$36bo2bo2bo2bo15bo2bo2bo213bo$249bobobobo$250b
o3bo26bo15b2o9b2o8b3o$154bo9bo8bo11bo11bo13bo10bo13bo10bo9bo39b2o9b2o
10b2o25bo2bo$154bo9bo8bo11bo11bo13bo10bo13bo11bobo3bobo64bo9bo2bo12bo
2bo$92b2o2b2o56bo9bo8bo11bo11bo13bo10bo13bo10bo3bobo3bo60bo2bo7bo2bo12b
2o4b2o13b2o5b2o29bo7bo$91bo2b2o2bo53b2obo6b2obo5b2obo8b2obo8b2obo10b2o
bo7b2obo10b2obo147bo2bobo2bo9bobo5bobo$91bo6bo148bo3bobo3bo71bo2bo31b
o3bo3bo3bo7bobo5bobo9bobo3bobo$92bo4bo150bobo3bobo74bo2bo10b2o4b2o13b
2o5b2o10bobo3bobo11bobobobo$92bo4bo149bo9bo89bo2bo35bo5bo13bo3bo$17bo
2bo2bo2bo2bo6bo2bo2bo2bo2bo42bo6bo151bo3bo92bo2bo13bo3bo3bo3bo7bo9bo$
91bo2b2o2bo150bobobobo150bo3bo$92b2o2b2o286bo9bo10bobobobo$17bo11bo6b
o11bo337bo5bo11bobo3bobo$152bo51bo11bo11bo156bobo3bobo9bobo5bobo$157b
2o10b3o6b3o7b3o13bobo9b2o10b2o154bobo5bobo9bo7bo$17bo11bo6bo11bo10b2o
2b2o2b2o83bo2bo3bo12bo5b3o10bo14bo10bo11bo155bo2bobo2bo$59bo8bo83bo16b
3o9bo9bo47b2o3bo5b2o$105b2o2b2o2b2o7b2o2b2o2b2o2b2o36bo8bo6b3o49b2o5b
o3b2o43bo2b2o6bobobo6bo2b2o6bobobo12bo2bo$17bo2bo2bo2bo2bo6bo11bo55bo
2b2o2b2o2bo5bo2b2o2b2o2b2o2bo65b2o9bobo9b2o69bobobo6bo2b2o17bo3bo31bo
2bobo2bo$59bo8bo35bo10bo5bo14bo64b3o9b3o9b3o91bo12bo13bo2bo$59b2o2b2o
2b2o36bo8bo7bo12bo161bo10bo9bobobo8bo63bo3bo8bo2bo$36bo2bo2bo2bo2bo56b
o8bo7bo12bo160bo2b2o6bobobo6bo2b2o6bobobo30b2obo3bob2o8bo3bo$104bo10b
o5bo14bo67bo11bo11bo120bo2bobo53bo2bo2bo$104bo10bo5bo14bo44bo6b3o13b2o
10b2o10b2o9bobo2bo5b2o132b2o3bo6b2o3bo$105bo8bo7bo12bo42b3o7b3o14bo11b
o11bo10b2o5bo2bobo112bo2bobo2bo$105bo8bo7bo12bo216bobo32b2o22bo2bo$104b
o10bo5bo14bo41b3o7b3o208b2o$104bo2b2o2b2o2bo5bo2b2o2b2o2b2o2bo41b3o10b
o105b2o10b2o9b2o$105b2o2b2o2b2o7b2o2b2o2b2o2b2o41bo9bo3bo104bo2b2o17b
o3bo$18b2o2b2o2b2o9b2o2b2o2b2o2b2o8b2o2b2o2b2o2b2o223bobobo6bo2b2o6bo
2b2o$18bo8bo9bo12bo8bo12bo165bo2bo4bobo58b2o2bo8bo$199bo2b2o5bo2b2o5b
obobo5bobobo6b2obob2o50b2o10b2o9b2o$89bo2bo108bo8bo11bo7bo102bo7bo7bo
7bo7bo7b2o6bo9bo9bo7bo9bo$18bo8bo9bo12bo8bo12bo90bob2o7bo5bo153bobo6b
2o6b2o5bobo5b2o14b2o7b2o2bobo2b2o$18bo8bo9bo12bo8bo12bo49b2o2b2o2b2o2b
2o16bo12b3o6b3ob3o155bo7bo22bo7b2o5bo26b2o2bobo2b2o$89bo2bo28bo2b2o2b
2o2b2o2bo15bobo2bo41bo2b2o5bo2b2o5bobobo5bobobo118bo7bo13b2o16bo7bo9b
o7bo$121bo14bo37b3ob3o19b2o8b2o8bobo7bobo102b2o5bobo5bobo6b2o6b2o13bo
bo$18bo8bo9bo12bo8bo12bo11bo2bo34bo12bo16bobo2bo7b3o6bo5bo57bobo5bobo
86b2o5bobo5bobo6b2o6b2o13bobo$18b2o2b2o2b2o9b2o2b2o2b2o2b2o8bo12bo20b
obo26bo12bo21bo5bob2o72bobobob2o105bo7bo13b2o16bo7bo9bo7bo$121bo14bo199b
o7bo22bo7b2o5bo26b2o2bobo2b2o$84bo2bo5bobo25bo14bo197bobo6b2o6b2o5bob
o5b2o14b2o7b2o2bobo2b2o$59bo12bo17bobo5bo2bo20bo12bo197bo7bo7bo7bo7bo
7b2o6bo9bo9bo7bo9bo$59b2o2b2o2b2o2b2o49bo12bo$90bobo28bo14bo53bo2bo2b
o5bo2bo2bo$98bo2bo19bo14bo$122bo12bo91bob2o6b2obo8b2o3b2o$93bo2bo25bo
12bo21bo2bo5bo5bo2bo14bo8bo8bo40b2o3b2o$121bo14bo100bobobo$121bo2b2o2b
2o2b2o2bo89bobobo20b3o43bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$93bo2bo25b
2o2b2o2b2o2b2o21bo2bo2bo5bo2bo2bo14bo2bo2bo5bo2bo2bo17b2obo8bob2o7b2o
3b2o2$296b2o101b2o$160bo11bo17bo8bo8bo$296b2o101b2o2$18bo2bo2bo51bo2b
o2bo74bo2bo2bo5bo2bo2bo14bo2bo2bo5bo2bo2bo20bobo7bobo7bo2bo$231bo9bo10b
o$236bo3bo6bo3bo$18bo5bo51bo5bo74bo2bo5bo5bo2bo17bo11bo20bo3bo$229bo9b
o9bo$23bobobobobobobobobobobobobobobobobobobobobobobobobobobobo148b2o
8b2o9b2o48b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$18bo2bo2bo51bo2bo2bo107b
o2bo2bo5bo2bo2bo$23bo53bo$294bo2bo100bo2bo$23bo53bo112bo2bo5bo5bo2bo$
294bo2bo100bo2bo$23bo53bo2$23bo53bo$249b2o$23bo53bo78bo2bo2bo2bo5bo2b
o2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo12b2o$18bo2bo2bo51bo2bo2bo166b
o$23bobobobobobobobobobobobobobobobobobobobobobobobobobobobo284b3o2bo
$156bo8bo2bo2bo5bo10bo5bo2bo2bo5bo11bo5bo2bo2bo5bo99b3o2b2o$18bo5bo51b
o5bo259bo24bo$249bo84bo24bo$156bo8bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2b
o2bo5bo2bo2bo12b2o83bo24bo$18bo2bo2bo51bo2bo2bo166b2o83bo7bo16bo$342b
o24bo$156bo2bo2bo2bo8bo16bo11bo17bo11bo108bo24bo$277bobobo52bo24bobo3b
2o$289bo8bo12b3o2b2o10b3o2b2o9b3o2b2o$168bo2bo2bo2bo10bo2bo2bo2bo2bo2b
o2bo11bo2bo2bo5bo2bo2bo40bo39bo32bo$289bob6obo10bo16bo$277bobobo7bob6o
bo10bo16bo$168bo8bo10bo17bo11bo5bo2bo2bo5bo72bo7bo8bo23bo$281bo10bo2b
o21bo32bo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo196bo32bo$168bo8bo10bo17b
o11bo2bo2bo5bo2bo2bo40bobobo27bo16bo$309b2o2b3o10b2o2b3o9b2o2b3o$18bo
101bo221bo$168bo2bo2bo2bo10bo2bo2bo2bo2bo2bo2bo127bo25b2o3bobo$334bo24b
o7bo$18bo101bo213bo7bo16bo$342bo$342bo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo213bo32bo$334b2o2b3o18bo7bo$367bo$359b2o3b3o$153b2o3bo4bo3bo3b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo4bo3b2o$
154b2o5bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo5b2o4$18b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o$18bo104bo2$153b
2o3bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo3b2o17bobobo9b2o
3bo$18bo104bo30b2o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b2o
37bo$18b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o153bo11bo3bo2bo2$277bobob
o2$277bo3bo2$18bo99bo34b2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b
2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2o13bobobo35bobo6b2o
13b2o8b2o8bobo6bobo10b2o9b2o$19b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o
3b3o3b3o3b3o3b3o3b3o3b3o3b3o172b2o9bo2bo76bo3bo6bo3bo$18bo99bo170bo2b
o9b2o$18bo99bo35bo107bo53bo2bo5bobo12b2o8bobo7bo2bo7b2o$382bobo8b2o$289b
obo9bobo79bobo9b2o$153bo109bo26bobo9bobo13b2o7b2o13b2o7bobo6b2o7b2o$153b
2o107b2o$154bo107bo$316b2o7b2o14b2o8b2o7bobo6bobo3$16bobo107bobo161b2o
9bo2bo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo162bo2bo9b2o78bobo8b
obo$16bo111bo252bo3bo6bo3bo$260bo80b2o7b2o7b2o$16bo111bo26bo103b2o28b
2o10b2o13bo2bo5bobo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo29bo102b
o31b2o10b2o78b2o8b2o$16bobo107bobo27bo183bobo6b2o8b2o21bo2bo9b2o$317b
obo6b2o$155bo104bo$340bobo6b2o7bobo$318b2o7b2o$154b2o2bobob2o2bobob2o
2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobo
b2o2bobob2o2bobob2o31b2o8b2o$289b2o12b2o35b2o7bobo6b2o$86bo2bo2bo2bo220b
2o7b2o$154bo104bo118bob2o$262bo26bobo9bobo75bo2b2o$83bo2bo8bo2bo191bo
bo9bobo76bobobo$154bo107bo$259bo$80bo2bo14bo$154bo2$77bo2bo17bo160bo$
154bo107bo2$74bo2bo17bo2bo163bo$154bo104bo$289b2o7b2o$71bo2bo17bo2bo194b
obo3bobo$154b2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob
2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2$68bo2bo17bo2bo197b
obo3bobo$155bo104bo28b2o7b2o2$65bo2bo17bo2bo66bo$156bo102bo$155bo103b
2o$62bo2bo17bo2bo173bo3$59bo2bo17bo2bo3$56bo2bo17bo2bo3$53bo2bo17bo2b
o3$50bo2bo17bo2bo$335bo$277bobobo36bo13bo2bo$47bo2bo17bo2bo218bobo16b
o5bo16bo$277bo3bo7b2o3bo15b2o3bo2bo6bo3bo5bo$294bo23bo$44bo2bo17bo2bo
208bobobo15bo12b2o$297bo3b2o24b2o$277bo3bo17bobo$41bo2bo17bo2bo$277bo
bobo2$41bo17bo2bo3$41bo14bo2bo2$277bobobo7bobo$41bo2bo8bo2bo232b2o$277b
o3bo10bo$292bo$44bo2bo2bo2bo223bobobo$290bo$281bo8bo$292b2o$277bobobo
9bobo8$291bo8bo6bo2bo8bo8bo6bo2bo$272bo4bobobo$289b2o7b2o7bobo7b2o7b2o
7bobo$270bobo8bo7b2o7b2o7bobo7b2o7b2o7bobo2$272bo4bobobo7bo8bo8bo9bo8b
o8bo$317bo8bo8bo$272bo4bo11bo8bo8bo9bo8bo8bo2$270bobobo2bobobo7b2o7b2o
7bobo7b2o7b2o7bobo$289b2o7b2o7bobo7b2o7b2o7bobo$298bobo25bobo$291bo15b
o2bo8bo15bo2bo!

EDIT: new SLs, and new c/2o

[b-engine]

I discovered the skewed version of Factorio...

Code: Select all

R3,C0,S2,B3,NX

[FWKnightship]

P24:

Code: Select all

x = 11, y = 11, rule = R3,C0,S2,B3,N+
8b2o$2o6b2o$2o$6bo$3b2obo2$4bob2o$4bo$9b2o$b2o6b2o$b2o!

EDIT: P72:

Code: Select all

x = 25, y = 31, rule = R3,C0,S2,B3,N+
b2o$b2o6b2o$9b2o$4bo$4bob2o2$3b2obo$6bo$2o$2o6b2o$8b2o2$23b2o$18b2o3bo
$16bo7bo$17bo3b2o$16b2o4$8b2o$2o6b2o$2o$6bo$3b2obo2$4bob2o$4bo$9b2o$b
2o6b2o$b2o!

[C28]

tagalong

Code: Select all

x = 7, y = 5, rule = R3,C2,S2,B3,N+
bo2b3o2$o2$bo2b3o!

edit: weirder one

Code: Select all

x = 11, y = 5, rule = R3,C2,S2,B3,N+
5bo2b3o2$2o2bo2$5bo2b3o!

[b-engine]

edit: weirder one

Code: Select all

x = 11, y = 5, rule = R3,C2,S2,B3,N+
5bo2b3o2$2o2bo2$5bo2b3o!

Pseudo-factorio trying to escape away from 2 Factorio

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

Pseudo-factorio trying to escape away from 2 Factorio

B-engine, I feel that your comments don't add anything to the discussion.

Your first comment on the 'skewed' version of Factorio is nothing new: I myself have found it, yet I never posted it because it is not notable. It is the Cross neighbourhood rotated 45 degrees.

A good way to find the cells of a neighbourhood is to run your neighbourhood of choice, then changing the S and B to S,B1. Run it for one generation. That way you can see all the cells of the neighbourhood. Here's what you can find for R3, NX:

Code: Select all

x = 1, y = 1, rule = R3,C2,S,B1,NX
o!
[[
STOP 1
]]

Your second comment was admittedly funny. However it only contained a description of the pattern and not any new information. In general, find out if your information is new, then post it.

But I digress.

User:H. H. P. M. P. Cole/OCA:Factorio

Above is the new Wiki page for Factorio. it contains a new updated pattern collection as well.

Priority list:
- apgsearch D8_4, iC1 (soups here have a greater density of ash and more variety of objects in a smaller soup), 1x256, and 2x128 (height-1 and height-2 soups stay height-1 and height-2 respectively)
- enumerate all patterns up to 7 cells
- find new periods (ideally prime), sparkers, and speeds
- find methuselahs up to 15 cells (there is a 8-cell 56M)
- find a p2 with a non-constant population (or prove that there are none)
- classify all height-1 patterns
- enumerate small height-2 patterns
- find a statored p6

[b-engine]

Accidental 59M:

Code: Select all

x = 18, y = 20, rule = R3,C2,S2,B3,N+
15b2o$7b2o6b2o$7b2o$11bo$11bob2o2$10b2obo$13bo$16b2o$8b2o6b2o$2o6b2o$
2o$6bo$3b2obo2$4bob2o$4bo$9b2o$b2o6b2o$b2o!

EDIT:
Destruction of methuselahs

Code: Select all

x = 31, y = 36, rule = R3,C2,S2,B3,N+
8bo$9bobo5b3o2bo$8bo2bo$8b3o13$15b2o$7b2o6b2o$7b2o$11bo$11bob2o2$10b2o
bo$13bo$16b2o$8b2o6b2o7b3o2bo$2o6b2o$2o$6bo$3b2obo2$4bob2o$4bo$9b2o$b
2o6b2o$b2o!

EDIT 2:
Soups with 30% density tend to last longer than soups with different density.

Code: Select all

x = 144, y = 137, rule = R3,C2,S2,B3,N+
o3bobobo6bo4bo2bo10b2o5bobo4bo2bo3bob2obob2o6bobo4bo15b2o3bo3b2obobob
o5b2o5bo3bobobo2bob2ob4o$4bo2bo8bo5bo3bo2bo2b4o3bob2o3bob2o2bob2o4b3o
bo2b3o2bo3bo2bo10b2o4bo4bo3bobobo2b2o5bo4bo6bobo$6bobo2bo6bo2b2o3b4ob
o2bo5b2o5bo3bo4bob2ob2o2bobo3bo5bo10bo3bo3bobobo12bo4bo2b2ob3obo9b2ob
o$bo3b2obo2b2o2b2o3b2ob2o10bo9bo5b3o6bobo2b2o5bobo5bo6bo2bo3bobo3bo2b
obobob2obo10bo2bob3o3b3o4bobo$4o5bo2bo3bo4bo10b2o4bo3bo7bobo13b3o6bo2b
2ob3o7b3o2b2o6bo2b4o3b3o5bobo6bo7bobo$o7bo3bob2o4bobo5bo8bo6bo7b2ob2o
2bo8bo3bo3bobob2obobo2bo2bo3bobo10bobobo2bo2bo2b2o5bobo5bobo3bo$4bo2b
o3bo9bo2b3obobo6bo2bo2b2o4b2o4bobo5bo4bo4bo3b2o2b3o4b2o2bo4b2o2bo6bo3b
o3bo2bo5bo4b2ob3o5bo$b2obo4bo4b3o3b3o5bob2o2bobo3b2o4bobo2bo7b2obo3bo
2bo2bo5bo8bobobob3o5bo7b3obo3bobo6bo6b3o3bob2o$6b2obo2bob2o5bo2bo7bo5b
2o2b2ob2obo2b2o8bobo3b2o4b4o2b2o4bo3bob3o5bo3b3o2bo2bobo7b2o5b2o5b2o6b
o$b2o2bo4bo5bo5bobobo8bo2bo2bobo4bo9b3o2bo4bobob3o6b2o2bo4bob2o2bo2b3o
3bo2b2o8bo4b2ob2o2b2o2bobo2b2obo$bob3o3bobobob2obo3bo4bobobo2b2o3b2o2b
2o2bo3bo2bobo2b6obo4bobo11bo3bo5bo2b5ob2o6bo2bo6bo2bobobo5b2obo$b2obo
3bo6bo3bo2bo2bob2o2bo8bo7b4obo2bob2obo2bobo2b2o4b2o2bo4bo8b3o6b3o3b2o
b2o3b2o2bo2bo3b2ob2obo5b3o$2bobo3bo5bo2bobo2bobob2o7bo6bob5o6b2ob2o4b
obo3b3o5bo3bo3bobobo6bo2bob2ob3o2b5o2bobo4b3o3b2o6b2o$2bo4bo5bo8bo3bo
2bo2bo2bobo2b4ob2o5bo4bo4bo3b4o14bo9bo8bo3b2ob4obo7b2o3bobo2bob2o2b2o
bo$2bo5bo10bo3b2o2b2o4b2obo3bob2o5b3obobo2bo3bobo2bo2b2o2bobo2b2o2bob
o6bo3b3obo7b4obo2bob2o2b2o2b3o10bo3bo$obo2b2o3b2o3bo6b2o12b3o5bo3bo3b
3obo3bo2b2o4bo2bo10bobo2bo5bobo7bob2o4bo2bo3bobob3o6b4o6bo$obo6b2obob
3o5bo7b3o2b2ob2o4bobo2bo2bo4bobo7b2o2b5o3b4obo6bob2obobo2b2obobo2bo4b
o4b2o2bo3bo3bobo$o3bo7bo2b2o24bo2bobo5bo3b2obo3bob2ob2o4b3o3b2o2b2o14b
obo3b2obo3b2o3bob3obo2bo10bo$bo3b5o2bo3bo2bo2b3o3b2o4bob3o2bo4b2o3bo3b
o3b3o4bobo4b2ob2o2bo3bo11bob2o4b2ob2o4bo3bo2bo3bo2bobo2bo6bo$2b3o6bob
o2bo2b2o2b2o2bob2o2bo5bo2bo10b3o4bo5b2ob2o2bo2bo4bobo5bobob2o5b2o3bo3b
ob2o2bo7bobo4bo8bo3bo$2bo3b2o3bo2b2o2b3o5bob3o2bo2b3o3b2ob2obobo6b2o11b
2o8b2obobo3bo12b2o3bobob3ob2o5b2obo6b3o4b2o2bo$bob3o2bo3b3o4b3obobobo
b2o2bo2b2o7bobobo3bo2b2o2bo7bo6bo2bo2bo3bobo2bo11bo2bobob4obob2o4bobo
bo9bob2o$2bobo3bo3bobo5b2ob2o11bo4b3obo9b2obo3bobo2bo2b2o2bo4bo5b2o4b
o3bob2o2bo3bobob3obo7b3obobo2bo2bo$3bo6bo2bo4bo5b2obob2o3bobo2b2o7bo8b
o3bo2bo5bo3bo5bo2bo6b2o2bo7b2o2bo3bo5b3o3bo3bo4bo7b2o$12bo7b3o4b6obob
obo5bo2bo2b2o2bobo8b2o7bo4bo2bobo8b2o5bob2o8b2o3b3o2b2o5bob2o3bo3bob2o
$b2obo2bo4b2o4bo3b4ob3o2bo6bob2o5b3ob2o2b3o4bo6bo5bobo3b2o2bobo2b2o5b
o2bo3bo2bo3bobo2b3obo4bo6bo3b2o$bo7b2ob2o2bo3bo2b2o3bo3b3o8b2obo3b2o3b
2o6bo2bo5b2o3bo2bo5bo3b2obo4bo2b2o2bo2bo4bobobobo3b2o3b2o4bo2bo3bo$bo
bob2o2bo4b2obobo6b2ob2o2bo4bobo2bo2bo2bo2bobo7b3ob3o3bo7bo5bo2b3obo3b
4o2bo4bo4b3obobo2b2o3bob2obo2bo3bo$o5b3o3b2obo5bo13bob2o2bo5bo7b2o2b3o
3bobo2bobo7bo5bo3bobob2o6bobo3bo3b2ob2obobo3bobo2b3ob3obobo2b2o$o2bo2b
o9bo2bob3o3b2o3bo7bo9bo2b2o4b2ob4o2bo5bob2o2bob2o5bo3bo2b2ob3o3bo2bo3b
2obo2bo4bo2bo4b2o3b2o4bo$2o7bo2bo4bo6bobobobo2b4obo2bo4b2ob2o2bo4bobo
2bo2bo2bo2bo2bobo2bobob2o2bo3bo3b2ob2obobo2bobo2b2o2bo2b2o5b3o5bobob4o
$2b2o3b2obobobo3bo3bob2obo2bobo2b2obob2o3b2o2bo12b2o2b3o3bo5b2o11bo2b
o8b3o2b2o4bob2o4b2o7bob2o2bo3bobo$b3o11bo4b4obo2bo2bo2b2ob2obobo8bobo
3b2obo3b6obo4bo7bo4bob4ob2o6bobo3b2o9bo3bo6bo2bo3bo$2obobo4bo5bo2bobo
6bob2o2b2o13bo3bob2o3bo3bob2obo7b2obo2bobo5bo2bo2b3obob2o2b2obobo3b3o
16bo$obo3bobo3b2o3b2o2b2obo6bo3bo2b3o4bobobo4bo6bo2b2o2bob2o5bobo3b2o
2bo2bo6bo6bobob2o4bobo3b2obo2b3obob2o2b2o5bo$bo10bobo2bo4bo2bo4b2o4bo
6bo2bo4bo2b2obobob2o6bo11b2obo2bobo2bobo2b3ob2obo2b2o4bo3b2obob2o2bob
o2bo5bo3bo$4bo4bo2bo5bobob2o3bo3bo3b3o2bo2bo2bobobo2b2obo3bo2bob2o9bo
5b2ob3o5bo3bo5bo2b3obo2bo2bo7bo5bo5bo5bo$b5o3bo11bo5b2o10bob2obo5b2o6b
3o7b2o2bo3bo2bo2b2o4b2o5b2o6b2o2bo2bobo2bo6bobo2bo8bobo3bo$2bo3bob2ob
o2bo3b2o5b2o3bo2bo7bobo3bobo13bo3b5o6bo2bo5bo2bo7bobo3bobo4bo7b2obobo
bo4bo4bo3bob2o$3b2o2bobo2bo6bo4bo2bo3bo2b3o2bo2b3o4bo2bob3o7bo2bob2ob
o4b2o3b2o6bobo2bob2o3bo3bo3bobob3o2bo2bo2bo4b2o3b2ob2o$obo5bo6bobo9b2o
bo2b2o6b2o3b2o3bobob3o2bo2bo2b2o8bo2bobo3bo10bo5b2o2bo2bobo3bo2b2o3bo
3bo2b2ob3o6bo$2o12bo7bob2o2b2o6b3o6b2o4b2o2bo3b2obo6bo3bo2bo2bob2obo15b
obo5bo3bobo4bobobob2o7b2ob2o2b2o$b2o5bobo4b2o2bo16bo2bobo2bobob2o2bo2b
o6bo4b2o4bob2obob2o10bob2o7b3o5bobo13b4ob2obo$obobo7b2o2b2o5bo5b2o6bo
3b2o2b2o7bobo2b3o3bo6bobo4b3ob2obo3b2o2bo4b2obo5bob2o9bobob3o3bo2b2o6b
o$10bob5ob4o2bobo5bo4bo3bobo2b2o9bo3bo6bo4bob4ob2ob2o14b2o2bo6bo2bobo
2bobobo2bo2b2o3b2o2bo$o3bobo14b3o6bo3bo2b5o2bo3bobo8bo3bo6bo2b2o3bo5b
o4b2o7bo8b2obo10b2o2b2ob2o2bo2b2o2bo3bo$4bob6o2bob3o6bo2bob2o5bo6bo4b
2ob2o5b2o5b2o2b2obo2b2o3bo4bo2bobo2b2o10bo5b3o4bo2bobo3bob2obo$2obo2b
o2bobo2bobo5bo2bo2b3o9b2o3bo8bobobo2bo2b2ob2o5b2o3bob4ob2o3bobobo7bob
o3bobo2bo2b3o5bo3b2ob3obob2obo$2bo9b3o2b2o2b2o5bo3bo4bo5b2o3bo7bo3bob
ob3o11bob2o2bobobobo2b2o3bobobo8bo8b3o2bo4bo2bo7bo$o3b3obo9bob2o2bo4b
obo2b3o2b2o4bobo6bo4bobo3bo8b2ob2o2bo10b4obo3b2o5bobo7bo3bo4bo5b5obo$
2bo2bo2b2o6bo2b3o14bob2obobo11bobo2bo4b4obo6b3o2b2o3bo3bo3b2o2bo3bob2o
bo6b2o2b2o3bob2o2bo5bo$b3o3b2o4bo6bob3o2bobob3obo7bo3b3o8bo4bo4bo2bo3b
o7bo7bo3b4o2b2obo3b2obob2obo4bo3b4obob3o3b2o3bo$4bo2bo7bobo2b5ob2o5b3o
5bo4bo5bo2bo5bo4b2o2b2obobo2bo6bo4bo2b4o3bo2bo4b2o2b4o3bo5b2obo3b2obo
3bobo$2o6bo7bobo3bobo3bobo2bobob2o2bo3b3o9bo2bob3o3bob2ob2obo3b5o13bo
6b2o2bo2bo3b2o3bo2bo2b4o4bo3b3o$bo2bo2bo2b2ob2o2bo4bo18bobo4bo6b4o8b2o
2bobo2bo5bo2b2o2bobo2bo6b2o5bo9bo2bo3b2obo2bo3b3obo2b2o$ob2o6bo4bobob
3o2bo2bo5bobob2o3b3o2bo2bo3bo6bob2o5b5obobob2o2bob2o4b2o2bo5bo3bo2bob
o6bobo4bo2bo2bobo3bobo3bo$3bo10bobo2bo10b2o5bo3bobob2o3bo6bobob2o2bo4b
ob2obo2b4o2bo4bo10bo4b3o2b3o6b2o3b2o2b2ob2o2b2obob2o$o4b2obo8b2o5bobo
4bo2bo3bo4bo7b2o6bobobob2o12b2o7bobo5b2obo2b4o5bo9bo5bo12bo$o3bob2o3b
2o4bo10b2obo3bo4b2o2bo2b2o3b2o4bo7bo4bo6bobo3b2obo2bobobobo2b2o2b2o2b
3obo2bo2bobo4b2o4b2o3bo$2bo2b3o2b2obo2bo6bobo5bo2bo8bo3b2ob2obo2bo2bo
4bo2bo4bobo2bo2b2o3b2o2b3ob2o4bo2b2obo4b2obo2bob2ob2o6b2o3b2o5bo$2b2o
4b2o2bo3bo2bo2bo7bo4bo2bo2bobo3bo4b4o2bo5b2ob2o5b2obobo2bo2b2obo2bo2b
o5bo14bo3bobo3bo3bobo7bo2bo$6b3obobo3bo2b2o3bobo4b2o5bobo3bob2ob4o4bo
3bob3obo2bo2bob2obo2bo2b2o3b2obo6b3obobo2bo2bo5bo2b2o3bo2bo2b2obo$obo
7bo11bobobobo4bo4b4o3b2ob2o6bo3bo3bobobo5bob2o10b2o2b2obobo3bo2bobo3b
o5b2o10b2o2bo2bobo3b2o$o3bo3bo9bo7bo2b2o3bo2b2o4bobo3b2o4bo2bobob3obo
5bo6bo3bob2o2bo6bo4b2obobobo2bo5b3ob3obobo9bo2bo$2b3o5bo3bo2bobo3b2o2b
obo2bo4b2o2b2o6bo3b2o2bo2bo2bo3bo2bo8bo3bo4bobo2bo7bo2b2o3bo5b2ob3o2b
o11bob3o2bo$4bo2b5o5b2obobobo8b2o7b3o2bo2bo4bobo6bobobobob2obobo2bob2o
b2o4b2o3bo4bo9b2o2bo3b2o2bob2obobobo4bobo2bo$bo2b2o3bo3bob2o3bob3o3bo
7b2o2bobo7bo5bo2bo2bo4bob2obo5b3o5bobo4bobo7bobo8bobo3bo2b2o3bo2bobo$
2bobo13bo3b2obo4bo2bo11bo4bobo3bobobo6bo6b2o2bo5b2o2b2o7bo2bo7bo3bo5b
o4bo2b2o6b2o2bo$bo3bo5b3obo2b4ob2obo4bo5bo8bo3bobo4b2o3b3o4b3o3b2obo2b
2o2b2o2bobo4b2o8bobo2b2o5bo10b2o2bobo2b2o2bo$2o5bo6bo10bo4bo9b7o6bobo
5b2obo3bo3bo3bobo2b2o7b3o2b4ob2ob2obo2bo3bo10bob2o5b4o2b2o$13b3o5bo2b
obo2bobo2bo2bo3b2o4bo4bobo3bobobo4bo2b2ob2o6b2o3bobo2bo7bo7bo11b2o7b2o
5b2o5b2o$4obo4bo4bobo5bobobo2b3ob5o4bo2b2o2bo5b2o2b3obo3bo3b2o4bo5bo3b
obo7bo2b2obobobo5bobo7bo3bo3bo2bo2bo2bo$bo2bo3b2o6b3o2b2o4bo3bo5bo4bo
3bo6bo2b2o5bo4b2o2bo5b2o7b2o4bo2bobo4bobo3bobobo3bo2bobobobo3b2o2b2ob
2o2bo$ob2o3bo6b2o11bo2b2o3bob2o9bo5bob3o4b5o3b2o10bobo2bo7bo5bo6bo4b2o
2bo6b2o3b2o7b3o$2bob4o6bobo5bo3bobo4bo5bo3bo10b2o4bobo3bo8b2o3bo12bo3b
obo7b2o2bobo6b2o3b2obo4bo4bo$3bo3b2obo3bobo3bo3b2o2bo2bo4bo2b2o5bo5bo
8b2o2bo4b2o3bo10bo2b2o2b3o2bo5bo4bobo7bo3bo3bobo2b2o2bo$2obo3bo3b2o4b
2o4b2o2bo6bobo2bo7b2o5bobo5b2o8bo7bobo11b2o2bo3bobob2o11b3o4b4o6bo3bo
2bo$2bo2b2o7bo5b2o6bo2bo2bo3b2o3bo2b2o2bo2bo8b2o10bobob2o5b2o2b2o4bo3b
2obo12bo11b2o2b3o3bobob2o$6bo4b2ob2o2b2ob2o3b2o4bo11bo3b3o2b2o5bo5bo3b
7o4bo11bo3bo3bo2b3ob4o3bo3bobo6bob2o3bo5bo$17bobo7bo2bo3b2o2bobo2b2o3b
o2b2o4b4o2bo3bo2b2o6bo2b2o2b3o2bobo2bobo3bo2b2o2bo10b2o5bo10bo3bo$2bo
2bo3bo3b3o6bo2b3obo8b4ob2obo3bob2o2bo4b3ob2obobo2bo5b3obo4bobobo3bo9b
o2bo2bobo6bo4bo4bo6b2o$2o6bo7bo5bo3b2ob2o3bo4bo7bo4bo6b2o3bo2bo5bo5bo
bo3bo2bobo2bo5bobobo4bobo5b2obo3bo3bo2b2o5bobobobo$bo9bo2bo5bob2o5bo3b
ob4o2b3o2bo3bo7b2o3bo4b2obo5bo4bob2o2b2o2bobo2bobo2b2obobobo11b2o2bob
3o2bob2o4bobo$5bo3b4obobo3bo4bo5bob2obobo3bo3b3o2b2o3b2obo2b2ob2o4b2o
b2o8bo2b2o3b2o5bo7bo16bo6bo2bo5b2o$o8bo3b3o3bobob2o17bobob2obo3b3ob2o
b3ob2o3bo2bobobobo5b3ob2obo2bobobo8b4o5bo2b2o4b2o8bo3bo2bo$o9bob2obob
o8bo4bo2bo6bob2o10bob2o2b2o2bo6bo3b3o2bobo6bo10bo5bo6bobo6bo2bobo5bo4b
3o$bo2bobo2b2o10bob2o4bo4bo5b2o6bo10b2obobo4bobo4b3o3b3obo4bo5bo8bo3b
o3bo5b2o2bob3o3b3o2b3o2b2o$2b2o2bo2bobobo10bo2bob3o3bo2bo7bobo6bo7bo2b
o2bo8bo7bob2o3bo3bo3bo2bo5bo2b3o2bo3b2o2bo2bo5bobo2bo2bo$bo7b2o4bo3b2o
bo9bo5b2ob3ob2o9bob2o3bo4b2obo5b2obo3bo2bobo2bobobo3bo2bo3bobobobo6bo
b2o3bo3bob2obobo4bo$5bo3b3o2bo4bo2bo6bo7bo2bo2bo2bo7bo5bo4b2obo2bo2bo
bo3bo3bo3b2o6bobobo2bo2bo10bobobo2bo3bobo2bobo6bo$3bob3o9bo3b2o2bobob
obobo3b2o6bo6b2o3bo2bo3bo2b3o2bobo2bo2bobobobob3obo11b2o5bo8bo2bo7bo2b
2o2b2o$4b2o6b3o2bob3o3bo4bo6b3o2b5o2bo12bo2bo5b2o2bob3obo2b3o2bo6b3o2b
o8bo7b2o2bo4bobobobobo2bo$2bo8bo3b2o4bo2bob2o4bobo2bo8bo11bo6bob2o5bo
2bo3bo3bo2bo2b6obo4bo2bo3bobo2bo7b3o5bo5b2o3bo$5b2ob3o7bo5bo7b3obob2o
2b2obobo3b4obobobobo3bob2o2bo2bo5bob2ob2o2bo2b2obo8bob6obo3b2o3bo2bo2b
o2bo6bo$3bo3bo5b3o2bo6bo5b2o6b2obo3bob2ob2o7bobo2bo7b3o2bo7bo2bobo5bo
bo3bo5bobo7bo5bobo2bo2bobobo2bobo$bobo2bo2bo3b2o2bob2o3bob2o5bo2bo2bo
2b2o7bob2o4bo3b3o4b2o7bobo2bob3o4bo3bo3b2o5bo8bobo4bob3o4bobob3obo$bo
8bo7bo3bo2bo2b2o12bo2b3obobo3bo2bo8bo3bo6b2o13bo6bo10bobob2obobob2obo
2bo9b3o2bo$o4b2o2bo2bo6b2obo6bobo16bobo2b3ob2obo4bo6bob2o6b4o5bobo2bo
bo3b4obobo4bo8bo2bo2bo3b2o4bo$obobo2bo5bobobo4bo2b3obo9bo3bo2bo4bo3bo
b3o11bob2o6bo5b2o2bo3bo3bobobo2b2o2bo5bob2o4bobo2bo2bobobo6bo$bo12bo7b
2o4b3o2b3obobobo3bo4bo3bo3bo5bob2o3bo5b2obob2o3b4o7b3o7bo9bo3bo3b2o9b
2obo2bo$6bobo8bo8bo3bobobo5bo4bobo4b3o5bob2o4b4obob4o2bo3bo12b2o5bo6b
obobob5o4bo10bo$11b3o7b2obo2bob2obobo2bobobo5bo2b2o2bo2bo2b3ob2o3b3ob
o3bo3bobo5b3o2bobo5bobo5bobob3o9bobo4bobobob2o$3bo5bob2o2bobo3b2ob2o7b
o7b2o8b3o2bo4bo3bo2bo7bo2bo3bob3o5bo6bo4b3o2bobo3b2o3bo2b2o2bobobo5bo
2bobo$b2o8b2o2b2obob2obo8bo8bo4bo2bobo2bo5bo2bobo2b4obob2obo8bo2b4o6b
o2bo3bob2o2b2o3b3o2b2obo4b3obo2bobo$b2o3bo3b2o2bo3b2o2b3o7bobo4b3o3b2o
bo3bo5b2o9bo6b2obobo4bo4b2o2bo5bobo4bo3bo2b3o3bo2b2o2bo7bo3bobo$9b3ob
obo3bo2b2o13bobobo7b4o14bo6bo4bo2bo6b2ob2o4bo3bo4bo2bob2obob3o6bo6bob
2o5bo$2b2o4bob4ob2obo4b3ob2o3bo2bobo2bo3b2obo5bobo9bob3o12bo2bo2bobo6b
o2bob2obo2bo2bo2bobo3bo13bo4b2o$7bo3bo5bo3bo3bobobob5o3bo2bo2bo2bobo3b
2ob2obob2o5bo2bo2b2o2bo5b2ob2o3bo4bobobo2bo5bo3bo6b2o5b2obo3b2o3b2o$o
bobobo6bo5bo2bo9b2o2bo3b2o5bobobobobo4b2o4bo4bo3bo6b3o7bobo6bo3b3o2b4o
2b2obo4bo7b2ob3o$4b2obo9b3o2bobobobo4b2o3b3o2b2ob2ob3o13bo6bo7bo3bobo
2bo2bo3bob2o4bobobobo6bo10bo5bo4bo2b2o$7bobo8bo3bo2bobob2o3bo6bo2bobo
bo15bo5bo4b3o4bob2ob2o7bobo2bobo3bo2b3obo3b2o6bo2b2o7b2o2bo$2bo3bob2o
2b2o2bo2bo2bobo2bob4obo2bo5b2ob2o8bobo6bo6bo8bo4b3o2bob3o9bo3bo4b2o4b
3o2bo2bo5bo4bo2bo$3bo2bobo9bo2bobo8bobo7bo6bo2b5o3bobo4b2o11bobo7bobo
7b2o2bo18bo4bobo2bo2bo6bo$3bo5bo5b2o4bo6bobo3bo3bo4bo3b2o3b5obo4b2o8b
o4bobobo7bo3bob2o2bobobo14bo10bo2b4obob2obo$3b2ob5o2bobo2bobo2bobobo3b
obo3b2o3bobob3o4bobobobo6bobobobo3bo5bo8bo2bo5bob3o8bob2o2bobo8bo3bo3b
o2b2o$o3bobo7b2obo5bo7bo3b3obobo2bo3bo3b2obo6bob4o6b2obo5bobo3bo2bobo
3bo5bobo8b2o5bo4bo3bo2bo5bo$ob2o2bo2bobo7b2o6bo6b2obobo2b2o2bobo4bo11b
2o11bo3bo5bo2b2obo2b2o2b3o3bo6bo2bobo12bobo5bo$b3o5b3o4bo3bobo3bo2bo2b
o3bo8b2obo3b2o2b2ob3o10b3o4bo3b2o4bo11bo4bo2bo2bo2b2ob4o2b5o4bob2obo4b
o$o5b4obobobobo2bobo5b2o3bo6b2o5bobobo8bo21bo3bo6b2obo5bo3bo4bo2b2o5b
2obobo4bo3bobo4bo$2o6b3o5bo6bo3b2ob2o4b2o3bobobo4bobo5bobo4bo2b2o5bob
obo8bo6bobo7bo4bo2bo3bobo6bobob3o2bobo2b2obo$o2bobo6bo2b2o3b4obobobo6b
2o5bo4bobo5b2o3bobo12bo3bo4bob2o4b2o2b2o11bo2bo5bo7bo2bob2o2b2o3bo$4b
4o3b2o5b2o2bob2o6b2o4bo2bobobo3b2o3bo3b3o4b2o9bobo3bob3ob2o2bo2bobo3b
o10b3o7b3o5b3obob5o$3b2obob2o2b3ob3o7bobobobob2o7bobo2bo3bo2b4o11bo5b
2obo5b3o2bo7bobo4b2o2b2o6b4ob2o4b2o2b2o3bo5bo$4b2o2bobo2b2obob2ob2obo
bo5bo18bo2b2ob4o3b3o3bo4bo2b2obo11bobobo5bo5b2o3bo2b2o4bo8bo2b4obobo$
4b2o3bo3bo2bo3b2o4bo5b3o5b2o3bo2bo17bo9bo3bo4bo2bo3bob2o4bobo5bo7bo2b
2o6bob2o2bo2b2o$2o7bo6bobo5bobobobobobo2bo4b3obo3bo5bobobo22bo15b2o4b
obo2bo10bob2o9bo2bo2bo2bo$3bobo3bo8b2o7bobo2bo5bo2bo4b2o3bo3bo2bobo8b
o3bobobobob2obo3bo2bo2bobo2bo3bo2bo3bob7o6bob2o3bobo3bo$2bo3b2o14bo4b
o4bo2bob2o2b2obo5b2o4bo9b2ob2o2b3o2bo5b2o3bo2b2obobobo3bo6bo2b3o3b2o3b
obobo7bo5b2o$2bo11bobo6bo5bobo3bo4bobo9bo2bo3bo3b2o3bo2bo3bo5bo2bo2bo
b2o4b2o2b2o4bo13bo3b2o6bo2b2o$2bo3bobobo2bobo5b5obobo2bo4b2o4bo6bo2bo
11bo2bo2bobo2b3o2bo3bob2o2bobo2b2o4bo8bo2bo4b2o2bo3b2obo8bobo$o5bo10b
2obo2bo3bobobo6bo2bo7bobo2bo4bobob2o3bo3bo2bo2bo9bob6ob2o3b2o6bo2bo2b
o8bo2bo2bobo3bo$o3b3obo4bo8bo9bo4bobobobo4bo2bo2b2ob2o7bo3bo2bo2b2o3b
o2bo2bo7bob2o7bo3bo2bobobo4bob2o4b2o3bo3b2obo$o5bo3bo2b2o2b2o2bo7bo7b
2obo3bo3bobo4bo6bo2bo2bo3bobo2b3ob2ob3ob2o6bobo5b2ob2o2b2obo2bobo2b3o
bo4bo9bo$b3obo3bob2o9bo4bob4o3b2o2bo5bo3b2o3b2o3b4o4bo4bo4bobo4bobo4b
3o5bo6b2o2b3o2bob3obo4b2o4bo2b2ob2o$o2b4o2bo2bob2o3bobo2bobo2bob2o2bo
8bo4b3o3bo2b3o2bobobob3o5bo2bo4b3o3b2obo7bo4b2obo3bo2bo2bo4b2o2bob4o$
7bo2bo6bo3bo8b2o6bo2bo4b2obo2b2o6b2ob2obo4bo18b2obobo2bo3bo10bo6b2obo
7bo5b3o$o5bo2bo2bo3bo4b2obobo4bo6bo3bo2b2o2bo5bobo6b2o9bo12bo8b3o4bob
obo7bo3bo4bo3bo2b4o2bo2b2o!

EDIT 3:
58M as diehard:

Code: Select all

x = 10, y = 10, rule = R3,C2,S2,B3,N+
4b2obobo$5b2o$2b2obobobo$2bobobo$o3b2ob3o$3bo$obobobobo$9bo$6bobo$3b2o
3bo!

Record-breaking 77M:

Code: Select all

x = 16, y = 5, rule = R3,C2,S2,B3,N+
12bo2bo$3bo$obo$o2bo9bobo$b3o!

EDIT 4:
87M:

Code: Select all

x = 14, y = 11, rule = R3,C2,S2,B3,N+
3bo$obo$o2bo$b3o4$10bo2bo3$11bobo!

108M:

Code: Select all

x = 15, y = 14, rule = R3,C2,S2,B3,N+
4bo$bobo$bo2bo$2b3o4$11bo2bo3$12bobo2$2o$2o!

Obviously most methuselahs I found are diehards.

[wildmyron]

<snip>
Priority list:
- apgsearch D8_4, iC1 (soups here have a greater density of ash and more variety of objects in a smaller soup), 1x256, and 2x128 (height-1 and height-2 soups stay height-1 and height-2 respectively)
...

I ran 15E6 D8_4 soups through apgsearch. A few interesting results:

p24

Code: Select all

x = 9, y = 9, rule = R3,C2,S2,B3,N+
4o$obo$b3o$2bo$bo$2bo3bobo$3bob4o$4bobobo$7b2o!

<snip>
edit: weirder one

Code: Select all

x = 11, y = 5, rule = R3,C2,S2,B3,N+
5bo2b3o2$2o2bo2$5bo2b3o!

Semi-natural variant of the p4 tagalong

<snip>
Priority list:
...
- find a p2 with a non-constant population (or prove that there are none)
...

I made a slight modification to LCAS in order to be able to search for such a p2. Didn't find one in asym search up to 7x6, 8x5, 11x4 or various D2+ and D4+ searches with up to ~40 independent cells within the bounding box. Also no result in 9x9 C2 search. I'm a bit surprised by this outcome, but I guess it's not unreasonable that the weakly interacting neighbourhood results in this a population constraint.

Edit: scratch that, my modified LCAS doesn't find the p3 with varying population. I'll try to fix it at some point.

Edit 2: determined that only D4+ searches with even y bound were affected, so most of the p2 results mentioned are still valid.

[FWKnightship]

P10:

Code: Select all

x = 20, y = 4, rule = R3,C0,S2,B3,N+
o2bo12bo2bo$3bo12bo$o18bo$6bobo2bobo!

[Haycat2009]

Code: Select all

x = 15, y = 24, rule = R3,C2,S2,B3,N+
4bo$bobo$bo2bo$2b3o4$11bo2bo3$12bobo2$2o$2o5$4b2o3$4b2o!

138M

[FWKnightship]

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!

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

I made a slight modification to LCAS in order to be able to search for such a p2. Didn't find one in asym search up to 7x6, 8x5, 11x4 or various D2+ and D4+ searches with up to ~40 independent cells within the bounding box. Also no result in 9x9 C2 search. I'm a bit surprised by this outcome, but I guess it's not unreasonable that the weakly interacting neighbourhood results in this a population constraint.

I have tried out a multitude of Bx/Sy cellular automata on multiple neighbourhoods where x and y are single numbers. This probably can’t be due to the ‘weakly interacting neighbourhood’ – apparently any ‘exactly theta’ cellular automaton (to use K. M. Evans’ terminology) has constant-population period-2 oscillators. This seems to be a strong pattern I can’t prove yet.

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!

Well done FWKnightship for finding a ‘one-dimensional’ reflector where the factorial remarkably stays on the same lane while reflecting! Thanks so much for the extremely sparky oscillators. Also, I tried using your p24 and wildmyron’s p24 to make a p24 reflector using a similar scheme – but to no avail.

Sometimes I wonder – given your very sparky p9 and your moderately sparky p24 which period is the first to go for gun technology? For CGOL it was p30 (with the queen bee shuttle and Gosper glider gun), for tlife it was p160 (because of the p160 RRO) but who knows what would be the ‘equivalent period’ for Factorio? It is very likely that it is some multiple of 18 to be compatible with the versatile p9 sparkers.

Other updates from my end:
I did a systematic enumeration of all 1xn patterns up to width 20 but the factorials seem to be the only object existing.
Seems like the only 1xn finite pattern is the factorialship. What does this mean?

A stream of factorials has a period of greater than or equal to 11. This means one can make a gun with period 11 or higher.

The 'FWKnightship reaction' above works with periods 4 or higher.

BTW, thanks for the C4_1 haul, wildmyron! Looks like your work is shaping up to be an immense contribution to the rule!

Updated TODO list

Searches:
- (IMPORTANT TO ME) enumerate all patterns up to 7 cells
- apgsearch D8_4, iC1 (soups here have a greater density of ash and more variety of objects in a smaller soup), 1x256, 2x128 (height-1 and height-2 soups stay height-1 and height-2 respectively)
- find methuselahs sorted by MCPS
- find a statored nontrivial p6
- find new periods (ideally prime), sparkers, and speeds
- find common evolutionary sequences in Factorio
- 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
- find conduits
- find factorial-syntheses

Searches with or without proofs:
- enumerate all height-2 still-lifes (it is conjectured there are only four: 2o$2o!, obo$obo!, o2bo$o2bo!, and o2bobo$obo2bo!)
- find a height-1 finite object that is not the factorial (or prove that there are none)
- 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)

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

Search program challenge:
- make a search program, factoriosrc which performs the same stuff as rlifesrc but is compatible with R3 Cross totalistic rules (or if any existing program exists that does the exact same thing I said, let me know!)

Updated pattern collection, just in case:

Code: Select all

# Factorio pattern collection 1.4
# Rule by H. H. P. M. P. Cole
# With contributions by:
# H. H. P. M. P. Cole, FWKnightship, May13, wildmyron, Haycat2009, lemon41625, b3s23love, and C28
# p1, p2, p3, p4, p5, p6, p8, p9, p10, p12, p24, p72, p18n
# c/1o, 2c/2o, 4c/4o, c/2o, c/3d
x = 565, y = 351, rule = R3,C2,S2,B3,N+
298bo3bo$244bobobo$191bo12bo12bo10bo69bo3bo56bo12bo9bo11bo6bo7bo8bo$65b
o11bo8bo15bo7bo9bo8bo61bo12bo12bo10bo19bo19bo8bo8bo72bo12bo9bo11bo6bo
7bo8bo25bobobo$65bo11bo8bo15bo7bo9bo8bo41bo19bo12bo12bo10bo39bo8bo8bo
11bobobo2bobobo33bobobo$41bobobo19bo11bo8bo15b2o6b2o8b2o7b2o22bo17bo72b
obobo2bobobo10bobo8b2o7bo71b3o11b3o5b3o11b3o2b3o7bob2o2b2obo25bo$153b
o17b2o14bo12bo12bo10bo44bo5bo26bo2bo12bo3bo20bo14bobo12b2o5b2o13b2o2b
2o10b2o2b2o$17b3o21bo61bo7bo9bo8bo22bo33bo3bo8bo3bo8bo3bo6bo3bo15bo6b
o15bo8bo41bo3bo34bo3bo9bo3bo3bo3bo60bobobo6bo$17bobo45bo11bo8bo16bo7b
o9bo8bo18bo22bo14b2o11b2o11b2o9b2o40bo11bo7bo15bo2bobobo8bo3bo20bobob
o11bo12bo9bo13b4o9bo2bo2bo2bo36bo$17b3o21bobobo56bo7bo9bo8bo19bo22bo2b
o10bo12bo44bobobo2bobobo197b3o$134bo14bo3bo17bo3bo93bo5bo11bo71bo12bo
9bo11bo6bo40b9o2bobo7b2o$76bo8bo17bo7bo9bo8bo3bo15bo36bo12bo12bo10bo62b
o6b18o6bo3bo18b9o44bo2b2o2bo10bo2bo37b3o8bobo$39b9o28bo8bo47b2o64bo25b
o14b18o29bo32bo73bobo2bobo9bo4bo47bo2bo$76b2o7b2o48bo13bo209bo12bo9bo
13bo2bo9bo3b2o3bo$77bo5bo2bobo23bo9bo164bo71bo12bo9bo10b2o6b2o6bo8bo25b
obobo17b3o$112bo9bo178bo3bo14bo22bobobo45bo8bo6bo8bo49bo$43bo67b2o8b2o
40bo83bobobo68bo73b2ob2ob2o46bo$111bo7bobo2bo38bo46bo11bo9bo68bo3bo41b
o45bo8bo$41bobo21bo12bo13bo70bo11bo3bo6bo3bo6bo3bo8bo11bo9bo18bo192bo
bobo$65bo12bo13bo52bo7bo5bo11bo3bo3bo6bo3bo6bo3bo8bo11bo9bo68bobobo37b
obobo45b2obo2bob2o6bo8bo$43bo21bo12bo13bo52bo7bo5bo11bo3bo3bo6bo3bo6b
o3bo45bobobo157bo8bo29bo$145bo7bo5bo3bo7bo43bo11bo77bo37bo50bo6bo8bo6b
o$43bo17bo12bo13bo60bo15bo44bo4bo6bo4bo4bo14bo196bobobo$61bo3bo8bo3bo
9bo3bo56bo16bo8bo3bo6bo3bo6bo3bo10bo2bo8bo2bo2bo74bo37bobobo46bo6bo7b
2o6b2o$41bobobo15b2o11b2o12b2o13bo7bo9bo8bo14bo3bo3bo5bo5bo5bo4bo10bo
11bo14bo11bobo18bobobo142bo6bo$60bo12bo13bo15bo7bo9bo8bo17bobo11bo3bo
7bo238b2o$79bo13bo8b2o6b2o8b2o7b2o282b2o$79bo13bo55bo263b2o$78b2o12b2o
8bo7bo9bo8bo$78bo11bobo2bo6bo7bo9bo8bo$103bo7bo9bo8bo2$102bo7bo9bo8bo
4bo413bo4bo$103bo7bo9bo8bo3bo65bo21bo6bo$133b2o65bo21bo6bo320b2o$135b
o64bo21bo6bo$112bo9bo$112bo9bo83bo307bo10bo$111b2o8b2o77bo5bo15bo6bo283b
2o10b2o$111bo7bobo2bo78bo2bo18b2o274bo10bobo10bobo20b2o2b2o$204bo18b6o
165b3o9b3o34bobobo36bo13bo2bo9b3o4bo2bo4b3o21b2o$344bo3b2o106bobo16bo
5bo16bo20b2o29b2o$206bo236bo3bo7b2o3bo15b2o3bo2bo6bo3bo5bo$345bo48bo13b
o51bo23bo52bo6bo12bo6bo$394bo13bo34bobobo15bo12b2o36bo10bo18bo12bo$394b
o13bo54bo3b2o24b2o20bo8bo14bo5b2o8b2o5bo$345bo97bo3bo17bobo47bo8bo14b
o5b2o8b2o5bo$345bo46b2obo14b3o2bo98bo10bo18bo12bo$328b3o19b3o21b3o38b
o27bobobo89bo6bo12bo6bo$415bo$277bobobo237b2o29b2o$330bo21bo21bo136b3o
4bo2bo4b3o21b2o$142bobobo6b2o7bobo7b2o7b2o7b2o89bo48bo21bo21bo137bobo
10bobo20b2o2b2o$152bo2bo5bobo6b2o8bobo6b2o139bo21bo21bo138b2o10b2o$146b
o132bobo232bo10bo$313b2o20b2o20b2o20b2o11b3o13b3o$2bo10b2o127bobobo134b
o$13b2o280b2o15bo2bo18bo2bo18bo2bo18bo2bo168b2o$obo139bo134bobobo14b2o
13bo4bo16bo4bo16bo4bo16bo4bo11bo13bo$309bo8bo12bo8bo12bo8bo12bo8bo9bo
13bo139bo4bo$2bo139bobobo5b2obo5bob2o5b2obo135bo8bo12bo8bo12bo8bo12bo
8bo9bo6bo6bo6bo$153b2o7bobo7b2o122b2o13bo4bo16bo4bo16bo4bo16bo4bo18bo
13bo$2bo28bo263b2o15bo2bo18bo2bo18bo2bo18bo2bo14b3o2bo8b3o2bo$13b2o7b
2o6bob2o5bobo2bo$obobo8bobo7b2o6bo7bo2bobo268b2o20b2o20b2o20b2o$14b2o
6bobo6bo3$152bo8bo9bo8bo8bo9bo6bo8bo189b3o35bobobo7bobo$153bo8bo7bo8b
o10bo7bo6b2o8bobo237b2o$152bobo6bo2bo6bobo6b2o6b2o7b2o8b2o5bobo188b3o
35bo3bo10bo$153bobo6b2o6bobo6bo2bo7b2o7b2o6bo8bo241bo$13b2o7b2o7bobo6b
o2bo5bo2bo6bobo6bobo372bobobo$13bobo6bo2bo5b2o7b2o7bobo6bo2bo5b2o336b
3o48bo$14bobo6b2o8b2o7b2o6bobo6b2o8b2o254bo13bo27bo13bo65bo8bo$15b2o7b
2o6bobo6b2o7b2o6bobo6bobo236b3o2bo7b3o2bo8b2o2bo10b3o2bo7b3o2bo8b2o2b
o10b3o2bo9b3o50b2o$299b2o10bo13bo27bo13bo27bo47bobobo9bobo$153bo10bo6b
o10bo6bo8bo112bo13bo27bo13bo27bo$155bo6bo10bo6bo8bobo5b2o99bo2bo16bo6b
o13bo20bo6bo13bo$152b2o7b2o7bo2bo5bo2bo7bo8bo97bo4bo15bo20bo6bo13bo20b
o6bo$154b2o7b2o6b2o7b2o6bobo8b2o94bo8bo27bo13bo27bo13bo$295bo8bo27bo13b
o27bo13bo$13bo2bo5bobo6b2o9b2o6bobo7b2o235bo4bo9b2o2bo10b3o2bo7b3o2bo
8b2o2bo10b3o2bo7b3o2bo$14bobo6bobo5bo2bo5b2o7bobo7b2o237bo2bo16bo27bo
13bo27bo$14b2o7b2o8b2o5bo2bo5bo2bo5b2o$13bobo6bo2bo6b2o7b2o7b2o6bo2bo
237b2o137bo4bobobo$152bo8bo10bo6bo$152b2o7bo2bo7b2o7b2o253bobo4bo3bo$
154bo8bo6bo10bo$154b2o6b2o6b2o7b2o159b3o95bo4bo3bo7bo2bo12bo2bo$458bo
12bo$438bo4bo3bo7bo18bo$14b2o6bobo6bobo6b2o8b2o7bobo5bo2bo269bo46bobo
3bobo65bobo2bobo$13bo2bo5bobo7bobo5b2o8b2o6bobo7b2o270bo19bobobobobob
o65bobobo2bobobo$13bo2bo6bobo5bobo8b2o5bo2bo5bobo7b2o270bo18bo2bo5bo2b
o15bo7bo$14b2o7bobo6bobo7b2o5bo2bo6bobo5bo2bo84bo5bo11bo5bo178bobo9bo
bo16bo3bo$152bo11bo7b2o7b2o149bob3o20bobo11bobo$154b2o7b2o5b2o7b2o152b
o48bobo3b2o3b2o3bobo$137bob2o11b2o7b2o7bo11bo174b2o13b2o13bo7bo$117bo
b2o6bob2o251bo2bobo7bobo2bo$93b3o7b2o3b2o8bo2bo6bo2bo6bo2bo191bo23bo15b
o$91b2o3b2o7b3o20bo2bo6bo2bo191bo$14b3o8b2o2b2o25b2o7bob2o7bob2o11b2o
3b2o5b2o3b2o8bo2bo211bo23bo15bo$13bo3bo7bo4bo8b3o24bo10bo41b2obo6b2ob
o6b2obo182bo3b2o51bo2bobo7bobo2bo$13bo3bo19b2o3b2o22bo10bo74bo8bo195b
2o13b2o13bo7bo$13bo3bo38b2o8bo10bo74b2o7bobo162bo55bobo3b2o3b2o3bobo56b
o8bo6bo2bo8bo8bo6bo2bo$14b3o8bo4bo6b2o3b2o9bo101bo8bo192bobo11bobo64b
o4bobobo$25b2o2b2o8b3o11bo100b2o6bobo193bobo9bobo16bo3bo61b2o7b2o7bob
o7b2o7b2o7bobo$53bo37bobobobo228bo32bo2bo5bo2bo15bo7bo40bobo8bo7b2o7b
2o7bobo7b2o7b2o7bobo$49b2o15bo10bo13b2o3b2o228bo33bobobobobobo$66bo10b
o14bobobo222b3o65bobo3bobo42bo4bobobo7bo8bo8bo9bo8bo8bo$66bo10bo405bo
8bo8bo$49b2o14bob2o6b2obo359bo4bo11bo8bo8bo9bo8bo8bo$152b2o7bobo155bo
$13b2o9b2o126bo8bo157bo116bobobo2bobobo7b2o7b2o7bobo7b2o7b2o7bobo$13b
2o9b2o129bo8bo154bo135b2o7b2o7bobo7b2o7b2o7bobo$15b2o9b2o126b2o6bobo299b
obo25bobo$15b2o9b2o283bob3o141bo15bo2bo8bo15bo2bo$17b2o9b2o282bo$17b2o
9b2o$30b2o74b2o2b2o6bobo7b2o2b2o231bo$30b2o85bo3bo190bo$118bobo6bo2b2o
2bo177bo49bo2bo2bo20bo2bo$64bob2o11bob2o23bo4bo5bo3bo5b2o4b2o177bo52b
o20bo2bo2bo2bo$65bo14bo36bo3bo182bo3b2o52bo2bo2bo17bo8bo$65bo14bo284b
o18b2o10b2o$65bo14bo25bo4bo6bobo8bo2bo19bobo2bo5bo3b2o8b2o3bo122bo52b
obo9bobo90b2o$152bobo2bo6b2o3bo6bo2bobo254bobobo2bo3bo7b2o6b2o10b4o$54b
3o326b2o12b2o56b2o18bobo$38b3o11b2o3bo48b2o2b2o6bobo8bo2bo172bo50bob4o
7b4obo65bo2bo3bo13bo14b3o$36b2o3bo15bo7bo14bo224bo152b2obo15bo$36b2o3b
o10b2o3bo7bo14bo217b3o82b2o12b2o37bobobo2bobobo28bo$18b2o5bobo6b2o5bo
12bobo8bo14bo10bo2bo156bo4bo101bobo9bobo86bob2o14bo3bobo$34b2o3b2o7bo
bo3bobo34bo2bo156b2o2b2o108bo70bo10bo11bo18bob4o$33bo5b2o7bobo38b2o98b
obo5bobo8b2o7b2o2bo7bobobo7bo2b2o7bo9bo2bo31bo63bo2bo2bo15b2o10b2o66b
2o13bobobo$18b2o5bobo5bo3b2o8bo3b2o100bobo6bobo6b2o6b2o117bo66bo20bo8b
o40bobobo6bo8b2o6b2o16b2o$15bo10bo6bo3b2o8bo17bo14bo73bo8bo9bo7bo5bo73b
o36bo63bo2bo2bo17bo2bo2bo2bo60b2o$15bo10bo7b3o10bo3b2o12bo14bo8b2o37b
obobobo17bo3bo6bo6bo3bo6bo6bo2bo4bobobo5b2o2bo8bo10bo11bo21b2o123bo2b
o$15bo10bo21b3o14bo14bo73bo6bo3bo7bo4bo3bo4bo73bo41b2o60bo$64bob2o10b
2obo72bo8bo9bo7bo5bo73bo$128b2o3b2o62bobo8b2o7b2o2bo7bobobo7bo2b2o7bo
48bo2bo$129bo3bo117bo4bo44bo4bo$15bo10bo224b2o2b2o42bo8bo$15bo10bo272b
o8bo$15bo10bo102bo3bo167bo4bo$13b2obo7b2obo100b2o3b2o167bo2bo$456b2o$
303b2o151b2o6b2o$128bobobobo18bobo5b2o8bo2bo289b2o$153bo8bo8b2obo284b
o$152bob2o5bob2o6bob2o76bobo205bob2o$152b2o8bobo6bo2bo75bo3bo$91b3o3b
3o12bob2o134bo3bo203b2obo$90bo9bo12bo134b2o5b2o204bo$90bo9bo12bo133bo
9bo85b2o7b2o41bo40bobobo2bobobo7b2o$19bo2bo2bo10bo2bo2bo2bo12bo2bo2bo
25bo9bo12bo16b2o3b2o205b2o3bobob2o11b2o5b2o10bo10bo11bo48b2o6b2o$130b
2o3b2o100bo9bo9bo72bobo50b2o9bo11b2o32bo6bo15b2o$132bobo65bobo11bo2bo
7bo2bo6bo12b2o5b2o39b2o2bobo2b2o9b3o8bobo34b2o5b2o22bo11bo$19bo5bo10b
o8bo12bo5bo2bo107bobo10b2o45bo14bo3bo22bo3bo14b2o7b2o9bo2bo42bo3bo3bo
3bo9bo55bo2bobobo30b2o$90bo9bo12bo18bobo18bobo6b2o86bo3bo64bo7bobo143b
2o3bo$90bo9bo12bo9bo6b2o3b2o15bo3bo4bo3bo8bo2bo8bo2bo10b2o12b2o9bobo9b
o13bobo23bo3bo36b2o10bobo29bo3bo3bo3bo8bo3b2o5bo2bobo6bo3b2o28bo2bo27b
o7bo$19bo2bo2bo10bo8bo12bo2bo5bo22bo9bo12bo9bo6b2o3b2o17bo9bo8bo11bo11b
o13bo10bo13bo105b2obo3bob2o33bo2bo7bo2bo71bo3b2o$91b3o3b3o14b3o3b3o31b
o9bo8bo11bo11bo13bo10bo13bo40bobobo61bo2bobo2bo88bo2bobobo23b2o$123bo
30bo9bo8bo11bo11bo13bo10bo13bo172bo2bo$36bo2bo2bo2bo15bo2bo2bo213bo$249b
obobobo$250bo3bo26bo34b3o144b2o$154bo9bo8bo11bo11bo13bo10bo13bo10bo9b
o47b2o11b2o135b2o6b2o$154bo9bo8bo11bo11bo13bo10bo13bo11bobo3bobo39b2o
2bobo2b2o12bo9bo2bo12bo2bo106b2o$92b2o2b2o56bo9bo8bo11bo11bo13bo10bo13b
o10bo3bobo3bo38b2o18bo2bo7bo2bo14bo2bo15b2o5b2o29bo7bo50bo$91bo2b2o2b
o53b2obo6b2obo5b2obo8b2obo8b2obo10b2obo7b2obo10b2obo105b2o4b2o32bo2bo
bo2bo9bobo5bobo46b2obo$91bo6bo148bo3bobo3bo69bo2bo31bo3bo3bo3bo7bobo5b
obo9bobo3bobo$92bo4bo150bobo3bobo72bo2bo31b2o5b2o10bobo3bobo11bobobob
o49bob2o$92bo4bo149bo9bo85b2o4b2o33bo5bo13bo3bo50bo$17bo2bo2bo2bo2bo6b
o2bo2bo2bo2bo42bo6bo151bo3bo90bo2bo13bo3bo3bo3bo7bo9bo71b2o$91bo2b2o2b
o150bobobobo89bo2bo55bo3bo47b2o6b2o$92b2o2b2o284bo9bo10bobobobo46b2o$
17bo11bo6bo11bo335bo5bo11bobo3bobo$152bo51bo11bo11bo154bobo3bobo9bobo
5bobo$157b2o10b3o6b3o7b3o13bobo9b2o10b2o152bobo5bobo9bo7bo$17bo11bo6b
o11bo10b2o2b2o2b2o83bo2bo3bo12bo5b3o10bo14bo10bo11bo153bo2bobo2bo$59b
o8bo83bo16b3o9bo9bo47b2o3bo5b2o8bobo2bo4bo3bo$105b2o2b2o2b2o7b2o2b2o2b
2o2b2o36bo8bo6b3o49b2o5bo3b2o6bo3bo4bo2bobo22bo2b2o6bobobo6bo2b2o6bob
obo12bo2bo$17bo2bo2bo2bo2bo6bo11bo36bo2bo15bo2b2o2b2o2bo5bo2b2o2b2o2b
2o2bo65b2o9bobo9b2o69bobobo6bo2b2o17bo3bo31bo2bobo2bo$59bo8bo35bo10bo
5bo14bo64b3o9b3o9b3o91bo12bo13bo2bo$59b2o2b2o2b2o36bo8bo7bo12bo161bo10b
o9bobobo8bo63bo3bo8bo2bo$36bo2bo2bo2bo2bo36bo2bo16bo8bo7bo12bo160bo2b
2o6bobobo6bo2b2o6bobobo30b2obo3bob2o8bo3bo$104bo10bo5bo14bo67bo11bo11b
o120bo2bobo53bo2bo2bo$80bo2bo20bo10bo5bo14bo44bo6b3o13b2o10b2o10b2o9b
obo2bo5b2o132b2o3bo6b2o3bo$89bobo13bo8bo7bo12bo42b3o7b3o14bo11bo11bo10b
2o5bo2bobo112bo2bobo2bo$105bo8bo7bo12bo216bobo32b2o22bo2bo$80bo2bo5bo
bo12bo10bo5bo14bo41b3o7b3o208b2o$86bobo5bo2bo6bo2b2o2b2o2bo5bo2b2o2b2o
2b2o2bo41b3o10bo105b2o10b2o9b2o$105b2o2b2o2b2o7b2o2b2o2b2o2b2o41bo9bo
3bo104bo2b2o17bo3bo$18b2o2b2o2b2o9b2o2b2o2b2o2b2o8b2o2b2o2b2o2b2o13bo
bo207bobobo6bo2b2o6bo2b2o$18bo8bo9bo12bo8bo12bo21bo2bo140bo2bo4bobo9b
obo5bobo38b2o2bo8bo$199bo2b2o5bo2b2o5bobobo5bobobo6b2obob2o13b2obob2o
30b2o10b2o9b2o$89bo2bo108bo8bo11bo7bo102bo7bo7bo7bo7bo7b2o6bo9bo9bo7b
o9bo$18bo8bo9bo12bo8bo12bo90bob2o7bo5bo153bobo6b2o6b2o5bobo5b2o14b2o7b
2o2bobo2b2o$18bo8bo9bo12bo8bo12bo49b2o2b2o2b2o2b2o16bo12b3o6b3ob3o155b
o7bo22bo7b2o5bo26b2o2bobo2b2o14bo2bobobo22b2o25b2o$89bo2bo28bo2b2o2b2o
2b2o2bo15bobo2bo41bo2b2o5bo2b2o5bobobo5bobobo118bo7bo13b2o16bo7bo9bo7b
o40b2o3bo7bo2b3o14bo3b2o$121bo14bo37b3ob3o19b2o8b2o8bobo7bobo102b2o5b
obo5bobo6b2o6b2o13bobo49bo2bo3bo15bo7bo25bo7bo$18bo8bo9bo12bo8bo12bo49b
o12bo16bobo2bo7b3o6bo5bo57bobo5bobo86b2o5bobo5bobo6b2o6b2o13bobo73bo3b
2o29b2o3bo$18b2o2b2o2b2o9b2o2b2o2b2o2b2o8bo12bo49bo12bo21bo5bob2o72bo
bobob2o105bo7bo13b2o16bo7bo9bo7bo15bo2bobobo2bobobo8b2o39b2o$121bo14b
o199bo7bo22bo7b2o5bo26b2o2bobo2b2o$121bo14bo197bobo6b2o6b2o5bobo5b2o14b
2o7b2o2bobo2b2o32bo2bo3bo2bo3bo$59bo12bo49bo12bo197bo7bo7bo7bo7bo7b2o
6bo9bo9bo7bo9bo51b2o11b2o$59b2o2b2o2b2o2b2o49bo12bo298bo2bobobo2bo3bo
22bobo9bobo$121bo14bo53bo2bo2bo5bo2bo2bo262b2o11b2o$121bo14bo334bo13b
o$122bo12bo91bob2o6b2obo8b2o3b2o216bobo7bobo$122bo12bo21bo2bo5bo5bo2b
o14bo8bo8bo40b2o3b2o219bo5bo$121bo14bo100bobobo178bo53b2o5b2o$23b2o2b
2o17bob2o45bo2bo2bo2bo16bo2b2o2b2o2b2o2bo89bobobo20b3o43bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo22bo50bobo5bobo$104bo2bo14b2o2b2o2b2o2b2o21bo2b
o2bo5bo2bo2bo14bo2bo2bo5bo2bo2bo17b2obo8bob2o7b2o3b2o218b2o5b2o$17bo2b
o2bo14bo22b2o2b2o10bo2bo2bo2bo335bo$17bo10bo9bo8bo28b2o8b2o6b2o200b2o
101b2o8bobo8bo$41bob2o62bo52bo11bo17bo8bo8bo207bo3bo$38bo8bo10bo2bo4b
o2bo226b2o101b2o7bo3b2o$17bo10bobo16bo10bo10bo6bo10bo6bo321bo$17bobo10b
o11bo64bo49bo2bo2bo5bo2bo2bo14bo2bo2bo5bo2bo2bo20bobo7bobo177bobo$42b
o8bo179bo9bo$45b2obo9bo10bo6bo10bo6bo141bo3bo172bobo$19bo10bo11bo8bo6b
o2bo4bo2bo36b2o49bo2bo5bo5bo2bo17bo11bo20bo3bo187bo$24bo2bo2bo20bo177b
o9bo181b2o3bo$76b2o8b2o6bo2bo128b2o8b2o59b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o15bo3bo$19b2o2b2o15b2obo17b2o2b2o10bo2bo2bo2bo10bo2bo2bo2bo83bo2b
o2bo5bo2bo2bo205bo8bobo$412bo$294bo2bo100bo2bo$190bo2bo5bo5bo2bo203bo
51b2o34b2o$294bo2bo100bo2bo12bo44b2o3bo7bo2b3o23bo3b2o$106bo2bo2bo2bo
341bo7bo34bo7bo$458bo3b2o38b2o3bo$457b2o48b2o$18bo2bo2bo51bo2bo2bo20b
o2bo8bo2bo130b2o$156bo2bo2bo2bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo
5bo2bo2bo12b2o$249bo121bo2bo96b2o20b2o$18bo5bo51bo5bo20bo14bo2bo219bo
3bo5bo8bobo29bo78bobo18bobo$156bo8bo2bo2bo5bo10bo5bo2bo2bo5bo11bo5bo2b
o2bo5bo104b2o5bo3b2o17bo2bo15bobo78b2o20b2o$23bobobobobobobobobobobob
obobobobobobobobobobobobobobobobo228bo4b5o7bo3bob4o7bo11bo28b2o7bo80b
o22bo$18bo2bo2bo51bo2bo2bo20bo17bo2bo124bo56bo16bo36bobo2bo106bobo16b
obo$23bo53bo78bo8bo5bo2bo2bo10bo2bo2bo5bo2bo2bo11bo2bo2bo5bo2bo2bo12b
2o55bobo4bo9bobo4bo34bo4b2o10b2o91bo14bo$249b2o55bo16bo17bo11bo32b2ob
o84b2o14b2o$23bo53bo25bo2bo17bo2bo178bo25bo56bo83bobo14bobo$156bo2bo2b
o2bo8bo16bo11bo17bo11bo81bo7bo62bo87b2o14b2o$23bo53bo237bo16bo7bo11bo
33bob2o$106bo2bo17bo2bo177bo4bobo9bo4bobo31b2o4bo21b2o$23bo53bo90bo2b
o2bo2bo10bo2bo2bo2bo2bo2bo2bo11bo2bo2bo5bo2bo2bo78bo16bo37bo2bobo$306b
5o4bo7b4obo3bo8bo11bo31bo7b2o$23bo53bo31bo2bo17bo2bo206b2o3bo5b2o8bo2b
o18bobo$18bo2bo2bo51bo2bo2bo85bo8bo10bo17bo11bo5bo2bo2bo5bo105bo5bo3b
o20bobo7bo$23bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
283bo2bo$112bo2bo17bo2bo$18bo5bo51bo5bo85bo8bo10bo17bo11bo2bo2bo5bo2b
o2bo2$115bo2bo17bo2bo$18bo2bo2bo51bo2bo2bo85bo2bo2bo2bo10bo2bo2bo2bo2b
o2bo2bo$386bo2bo2bo2bo$118bo2bo17bo222b3o2bo$336b3o2b2o38b3o2bo8bo2b3o
63b2o43b2o$342bo24bo91b2o3bo7bo2b3o32bo3b2o$121bo2bo14bo194bo24bo97bo
7bo43bo7bo$334bo24bo18bo24bo15b2o2b2o33bo3b2o47b2o3bo$334bo7bo16bo18b
o24bo53b2o57b2o$124bo2bo8bo2bo202bo24bo10bo24bo$153b2o3bo4bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo4bo3b2o80bo24b
o51bo4bo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo33b2o5bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo5b2o16bobobo52b
o24bobo3b2o52bo4bo46b2o29b2o$127bo2bo2bo2bo152bo8bo12b3o2b2o10b3o2b2o
9b3o2b2o25bobo24bobo13bo4bo46bobo27bobo$277bo39bo32bo120b2o29b2o$18bo
101bo168bob6obo10bo16bo144bo31bo$277bobobo7bob6obo10bo16bo49bo28bo5bo
2b3o10b3o2bo39bobo25bobo$309bo7bo8bo23bo60bo20bo42bo23bo$18bo101bo160b
o10bo2bo21bo32bo123b2o23b2o$153b2o3bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b
o5bo5bo5bo5bo5bo3b2o57bo32bo25bo28bo67bobo23bobo$154b2o5bo5bo5bo5bo5b
o5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5bo5b2o18bobobo27bo16bo84bo20bo41b2o23b
2o$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo188b2o2b3o10b2o2b3o9b2o2b3o62b
o2b3o10b3o2bo$342bo33bobo24bobo$334bo25b2o3bobo$334bo24bo7bo51bo4bo$334b
o7bo16bo18bo24bo15bo4bo$342bo35bo24bo15bo4bo$153b2o3b2ob2o3b2ob2o3b2o
b2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2o
b2o3b2o78bo35bo24bo$334bo32bo$334b2o2b3o18bo7bo51b2o2b2o$18b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o30bo107bo104bo13b3o2bo8bo2b3o$18bo104bo235b
2o3b3o$386bo2bo2bo2bo$153bo109bo$18bo104bo29b2o107b2o$18b2o2b2o2b2o2b
2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o2b2o
2b2o2b2o2b2o2b2o2b2o2b2o30bo107bo5$277bobobo9b2o3bo$18bo99bo177bo$19b
3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o3b3o142b
o16bo11bo3bo2bo$18bo99bo36bo103b2o$18bo99bo37bo102bo17bobobo$156bo$277b
o3bo$155bo104bo$277bobobo35bobo6b2o13b2o8b2o8bobo6bobo10b2o9b2o$290b2o
9bo2bo76bo3bo6bo3bo$154b2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bo
bob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o29bo2bo9b
2o$316bo2bo5bobo12b2o8bobo7bo2bo7b2o$382bobo8b2o$16bobo107bobo25bo104b
o29bobo9bobo79bobo9b2o$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo135b
o27bobo9bobo13b2o7b2o13b2o7bobo6b2o7b2o$16bo111bo$154bo107bo$16bo111b
o130bo56b2o7b2o14b2o8b2o7bobo6bobo$18bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo$16bobo107bobo25bo$290b2o9bo2bo$259bo29bo2bo9b2o78bobo8bobo$
154bo107bo118bo3bo6bo3bo$341b2o7b2o7b2o$262bo26b2o10b2o13bo2bo5bobo$154b
o104bo31b2o10b2o78b2o8b2o$340bobo6b2o8b2o21bo2bo9b2o$317bobo6b2o$154b
2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bobob2o2bo
bob2o2bobob2o2bobob2o2bobob2o2bobob2o$340bobo6b2o7bobo$318b2o7b2o$20b
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobo34bo104bo30b2o8b2o$289b2o12b2o35b2o7b
obo6b2o$18bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobo2bo33bo159b2o7b2o$20bo99b
o35bo102bo118bob2o$18bo103bo32bo103b2o28bobo9bobo75bo2b2o$20bo99bo139b
o29bobo9bobo76bobobo$18bo103bo$20bo99bo$18bo103bo$20bo99bo219bobo3bob
o$18bo2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobo2bo217b3o3b3o$316bobo3bobo15bo7b
o$20bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo195bo7bo15bobo3bobo10b2o$316bo7b
o33b3o$313b3o9b3o29bo$362bo$289b2o7b2o13bo13bo34bo$290bobo3bobo58bo$358b
3o$359b2o$290bobo3bobo14bo13bo$289b2o7b2o41b2o3b2o$313b3o9b3o12b3o3b3o
$316bo7bo16bo5bo$316bo7bo16b2o3b2o$316bobo3bobo!

EDIT: Cleaned up TODO list.

[confocaloid]

Block catalyses, two blocks to a 12-bit still life, one-time shifter, one-time reflector

Code: Select all

x = 105, y = 55, rule = R3,C0,S2,B3,N+
2o46b2o$2o46b2o4$3b2o38b2o38b2o$3b2o38b2o38b2o2$19b3o2bo34b3o2bo34b3o
2bo13$7b2o$7b2o3$3b2o$3b2o2$19b3o2bo19$40b2o$19b3o2bo15b2o17b3o2bo3$b
2o$b2o43b2o$6b2o38b2o$6b2o!

[wildmyron]

I made a slight modification to LCAS in order to be able to search for such a p2. Didn't find one in asym search up to 7x6, 8x5, 11x4 or various D2+ and D4+ searches with up to ~40 independent cells within the bounding box. Also no result in 9x9 C2 search. I'm a bit surprised by this outcome, but I guess it's not unreasonable that the weakly interacting neighbourhood results in this a population constraint.

I have tried out a multitude of Bx/Sy cellular automata on multiple neighbourhoods where x and y are single numbers. This probably can’t be due to the ‘weakly interacting neighbourhood’ – apparently any ‘exactly theta’ cellular automaton (to use K. M. Evans’ terminology) has constant-population period-2 oscillators. This seems to be a strong pattern I can’t prove yet.

Interesting, I can believe there's some such relationship, though I don't have any intuition for what the extent of rules with this restriction might be.
I'm reminded of my exploration of p2 oscillators in B2/S0 - it seemed to be a lot harder to find a termination of some of the wicks when there was only a single end.

BTW, thanks for the C4_1 haul, wildmyron! Looks like your work is shaping up to be an immense contribution to the rule!

Updated TODO list

Searches:
- (IMPORTANT TO ME) enumerate all patterns up to 7 cells
- apgsearch D8_4, iC1 (soups here have a greater density of ash and more variety of objects in a smaller soup), 1x256, 2x128 (height-1 and height-2 soups stay height-1 and height-2 respectively)

There's a few more C4_1 hauls now, and a few D8_4 and 2x128 as well.

I didn't realise these p10 oscillators were a new period when those searches were run. They seem oddly similar to the even symmetry ones.

[Haycat2009]

I discovered the skewed version of Factorio...

Code: Select all

R3,C0,S2,B3,NX

The one that discovers the cross neighbourhood rule also automatically discovers the satire neighbourhood rule. By the way, I already found out about the 30% density effect.

[b-engine]

Trying to make a fiotilla using factorials, end up making a pseudo one:

Code: Select all

x = 7, y = 13, rule = R3,C2,S2,B3,N+
bo2b3o2$o2$bo2b3o4$bo2b3o2$o2$bo2b3o!

They still can affect each other:

Code: Select all

x = 20, y = 15, rule = R3,C2,S2,B3,N+
16bo2bo2$bo2b3o$16bo2bo$o2$bo2b3o4$bo2b3o2$o2$bo2b3o!

[b-engine]

5F p2:

Code: Select all

x = 22, y = 20, rule = R3,C2,S2,B3,N+
10bo3$10bo$10bo$10bo$16b3o2bo3$o2b3o2$12b3o2bo3$7bo$7bo$7bo3$7bo!

EDIT:
An attempt of salvo construction:

Code: Select all

x = 172, y = 20, rule = R3,C2,S2,B3,N+
51bo2b3o$33bo2b3o3$43bo2b3o$13bo2b3o6bo2b3o56bo2b3o4$bo2b3o$66bo2b3o43b
o2b3o2$o89bo2b3o5bo2b3o63b2o$171bo$170bo$bo2b3o106bo2b3o11bo2b3o$152b
o2b3o3$140bo2b3o!