Since I haven't had access to my old BMOG account in 2 years, here's an UPDATED introduction. Once again, sorry for necroposting.
Hello!
This is Guns and Gliders, one of my first rules, and a rule I still love
to this day, over three years later.
Despite the unoriginal name, and only 6 transitions from Life, Guns and Gliders is very different. It was originally rulegolfed for the B-heptomino to be a gun, and for the glider to still work.
Spaceships
Guns and Gliders has a lot of known speeds, suprisingly.
Orthogonally: c/2o, 3c/6o, 4c/8o, 5c/10o, 6c/12o, 8c/16o, 25c/50o, 2c/5o, c/3o, 2c/6o, c/4o, c/5o, and c/6o.
Diagonally: c/4d, c/5d.
The main two ships are the humble T and glider, through the T appears much more frequently due to the B heptomino acting as a T gun. The T is c/2o, and the glider is, of course, c/4d.
Code:
Select all
x = 9, y = 4, rule = B3/S23-a4ity5c6c
b2o3b3o$2o5bo$2bo$7bo!
Here's a list of all the discovered spaceships in this rule!
Code:
Select all
x = 386, y = 92, rule = B3/S23-a4ity5c6c
b2o14bo5b3o2b3o2bo3bo2b3o14b3ob3o6b3ob3ob3ob3o5bo5bo6b3o4b3o14bo3bo14b
o3bo21bo3bo16b3o15b2ob2o15b2ob2o8b2obo4bob2o$2o13b2o7bo4bo2b3ob3o2bo5b
o9bobobobo7bo3bo3bo3bo5b3o3b3o4bo2bo4bo2bo12b3ob3o12b3ob3o19b3ob3o14b
5o15bobo15bobobobo6bo3b2o2b2o3bo3bo2bo6bo2bo4bob3o2b3obo5bob3o2b3obo5b
ob3o2b3obo5bob3o2b3obo7b2o11b2o6bo2bo7bo2bo$2bo11b2o18bobo9b3o4b3obob
obobob3o21bob2ob2obo4bo2bo4bo2bo11bo2bobo2bo10bo2bobo2bo15b2obobobobo
b2o9b2obobob2o9b3obobob3o10b2obobob2o5b2o2b2o2b2o2b2o3bo2bo6bo2bo3bob
o8bobo3bobo8bobo3bobo8bobo3bobo8bobo5bo2bo9bo2bo5b2ob4ob4ob2o$11bob2o
bo2bo4bo4b2obobobobob2o3b2obo5bo2bo5bo2bo4bob2o5b2obo19b2o6b2o12b4ob4o
10b4ob4o15bo2bobobobo2bo7b2obobobobob2o7bo3bobo3bo9bo9bo5bo2bo4bo2bo4b
o2bo6bo2bo3b2obo6bob2o3b2obo6bob2o3b2obo6bob2o3b2obo6bob2o5bo2bo9bo2b
o6bo4bobo4bo$10b4o3b3o14bobo20b2o3b2o64bobo16bobo19b2o2bobo2b2o11bobo
bobo9bo2bobobobo2bo7b5o3b5o9b2o11bo8bo5b2o2bob2obo2b2o3b2o2bob2obo2b2o
3b2o2bob2obo2b2o3b2o2bob2obo2b2o5bobo11bobo7bob3ob3obo$10bo4b2o2b2o12b
2ob2o11b2o3bo3bo3bo3bo7b2o3b2o47bobo16bobo18bo2bobobobo2bo6bobo3bobo3b
obo5b4obobob4o7bobo7bobo5b3ob2ob3o6b2ob2o2b2ob2o6bobo4bobo7bobo4bobo7b
obo4bobo7bobo4bobo6b3o13b3o5b2o2b2ob2o2b2o$8b2ob2o2bo2b3o9b2o2bobo2b2o
8b2o5bob2ob2obo7b2obo3bob2o41bo3bobo3bo8bo3bobo3bo14b2obobobobob2o6bo
5bobo5bo3bo4bobobobo4bo25b2o2b2o8b2obob2obob2o7b2o4b2o9b2o4b2o9b2o4b2o
9b2o4b2o31b6ob6o$7b2obob2ob2o13b2o7b2o15bob2ob2obo10b2ob2o45b3o3b3o10b
3o3b3o16bobobobobobo8bobobo3bobobo4bobob2obobob2obobo59b6o11b6o11b6o11b
6o33bo2b2ob2o2bo$8bob2o18bo9bo14b2o7b2o10bobo89b4obobob4o11b2ob2o8bo4b
obobobo4bo39bo4b2o4bo74b3o11b3o8bobo3bobo$7b2o2bo2bo2bo38b3o3b3o7bobo
bobobobo83bo2bo3bobo3bo2bo11bo11b5obobob5o40bo10bo73bo2b2ob3ob3ob2o2b
o5bob2o5b2obo$6b2o5bo60bo5bo85bo2bo9bo2bo9b2ob2o13bobobobo46bo6bo61b6o
8b3o3bobobobo3b3o4b3o9b3o$5b2o2b3o63bo3bo89b2o7b2o10b3o3b3o7bob2obo3b
ob2obo40b3o6b3o22bo10bo24b3o2b3o9bo3bo5bo3bo5bo3bo7bo3bo$5bobobobo157b
2o7b2o28bo9bo42bo10bo8b6o8b2ob6ob2o8b6o9b3o4b3o13bo3bo10bobo11bobo$4b
o3bo4bo114bo20bo19bo9bo11bobobobo62b2o10b2o7b2o2b2o7bobob2o2b2obobo7b
6o8bo10bo8bo3bo3bo3bo8bob2o5b2obo$8bobo113b2o3b2o16b2o3b2o12b2o2bo7bo
2b2o8bo2bo2bo83bo4bo6b2ob2o6b2ob2o19b3o3b2o3b3o7bo11bo8b2ob2o3b2ob2o$
7b4o110bo3bo6bo12bo6bo3bo10b2o2bo5bo2b2o9bo2bo2bo95b3ob2o4b2ob3o21b2o
2b2o2b2o8b2o2bo5bo2b2o6b2o11b2o$9b2o108b5o3bobo2b3o3b2o3b3o2bobo3b5o8b
o2b3o3b3o2bo8b2o2bo2b2o100bo2bo10b3o4b3o6b2ob2o2b2ob2o8bobo7bobo9b3o5b
3o$117b2ob3o2bobobobo2b2obo2bob2o2bobobobo2b3ob2o8bob2o3b2obo14bo100b
obobo2bobobo5bo2b6o2bo5bob2o4b2obo10bo7bo8bo15bo$118bo6bo6bobo2bo2bo2b
obo6bo6bo6b2o5bobo5b2o113bo3b2o3bo5bo3bob2obo3bo6bo6bo10bo11bo$121bo10b
3o3b2o3b3o10bo9bob5o3b5obo114bo6bo11bo2bo10bo8bo8b2o11b2o8b2o7b2o$120b
obo32bobo10b4o2bo2b4o132b2o6b2o10b4o11b2obo7bob2o8bobo5bobo$121b3o2b2o
22b2o2b3o15b5o120b3o2b3o8b2obo2bob2o11b2o13bob2o5b2obo9bo9bo$123b2o28b
2o16b2obob2o136b2o4b2o29b2o5b2o12bobo3bobo$124bobo24bobo16b4ob4o132b2o
10b2o6bo6bo12bobo3bobo11bob3ob3obo$124b3o24b3o15bo2bo3bo2bo132bob3o2b
3obo6b10o14bobo12bobobobobobobobo$171bobobobo135bobo4bobo6b2o8b2o13bo
bo12bo3bobobobo3bo$171b2o3b2o151bo3bo2bo3bo10b2obobob2o10b4obobob4o$168b
3o7b3o147bobobo4bobobo10bobobobo11b4obobob4o$168b2obo5bob2o152bo2bo32b
o4b2ob2o4bo$167bob3o5b3obo146b2obo6bob2o8b2o7b2o8b2o11b2o$167bo5bobo5b
o146bo12bo7bo11bo5bo2bo11bo2bo$166b2o2b2obobob2o2b2o148bo6bo28bob2o11b
2obo$166b2obo3bobo3bob2o148b8o10b2o9b2o6b3o11b3o$168bob2o5b2obo150b3o
2b3o31b4o5b4o$167bo13bo147b3o6b3o30b4o3b4o$171bo5bo150b2o10b2o29bo2bo
3bo2bo$171bo5bo149b2o12b2o30bo5bo$167b3o9b3o148b2o6b2o33b3ob3o$168bo11b
o149b3o4b3o34b2ob2o$329bo10bo30bo3bobo3bo$170b3o3b3o191b6ob6o$170bobo
3bobo150b2o8b2o27bob5o3b5obo$169bo2bo3bo2bo151bo6bo29bobo11bobo$169b4o
3b4o148bo3b2o2b2o3bo26b2o13b2o$172bo3bo157b2o37b2o3b2o$166b2ob2o7b2ob
2o147b3ob2ob3o35bobo$169b2o7b2o192bo2bobo2bo$165bo3bo9bo3bo188b3o3b3o
$169bobo5bobo$167b2obob2ob2obob2o191bo5bo$172bobobo195b3o3b3o$171b2o3b
2o194b3o3b3o$171b7o$174bo$169bobo5bobo$168b4o5b4o$172bo3bo$167bo2bo7b
o2bo$167b3o9b3o3$166b3o11b3o$165bo2bo11bo2bo$165bo2bo11bo2bo$169b2o7b
2o$166b3obo7bob3o$165bo3bo9bo3bo$167bo2bo7bo2bo$165bo2bo11bo2bo$166bo
4bo5bo4bo$167b2ob2o5b2ob2o$166bob2o9b2obo$171bo5bo$171bo5bo$169bo2bo3b
o2bo$170b3o3b3o$168bo3bo3bo3bo$168b6ob6o$166bo7bo7bo$166bob13obo$168b
3o7b3o$172b5o$172bo3bo$172b2ob2o$172bo3bo$172b5o$174bo$171b2o3b2o$174b
o$174bo2$174bo!
As suggested by the other, much cooler half of the name, guns are common place. More accurately, we actually have one majot thing, the B.
Code:
Select all
x = 3, y = 4, rule = B3/S23-a4ity5c6c
o$2o$b2o$2o!
As shown above, the B is an extremely common naturally occuring T gun, that doesn't rely on any support. But it's not the only guns we have.
Using B conduits, shown below in the Conduits sections, GUYTU6J showed you can actually make T guns (and thus, oscillators), for all periods above or equal to 39. Here's the gun for exactly 39.
Code:
Select all
x = 101, y = 97, rule = B3/S23-a4ity5c6c
50bo$49bobo$49bobo$50bo2$37bo$37bo$36b4o$39b2o$40b2o$37bo2bo14b2o$29b
2o6b3o$28bo2bo4b2o$29b2o5bo$51b2obo12bo$51bo2bo4b2o5bobo$52b3o3bobo5bo
bo$59bo7bo2$29b2o$29bobo30bo$30bo31bobo$57b3ob2ob2o$56bo2bo5b2o$32bo
23bo7b2o$36b3o17bobo$35bo2bo9b2o7b2o$36b3o10bo$15b2o29b3o35bo$14bo2bo
28bo29b2o5bobo$15b2o6bo16b2o33bobo5bobo$22b3o15bobo33bo7bo$21b2obo17bo
29bo$42b2o$20b3o$22bo47bo$15b2o52bobo11b2o4bo$15bobo4b2o45bobo12b3o2b
3o$16bo5bo2b2o42b3o13bo3bo$22bo3bo58bo2b2o$10bo12b3o39b2o19b3o$10bo55b
o20bo$14b3o46b3o$16bo46bo$14bobo$b2o11b2o$o2bo63b2o29b2o$b2o23b2o40bo
29b3o$26bobo39bobo27b2o$28bo40b2o$28b2o$81b2o$80bobo$33bo46bo$31b3o46b
3o$9bo20bo55bo$8b3o19b2o39b3o12bo$7b2o2bo58bo3bo$7bo3bo13b3o42b2o2bo5b
o$5b3o2b3o12bobo45b2o4bobo$7bo4b2o11bobo52b2o$26bo47bo$74b3o$53b2o$24b
o29bo17bob2o$12bo7bo33bobo15b3o$11bobo5bobo33b2o16bo6b2o$11bobo5b2o29b
o28bo2bo$12bo35b3o29b2o$47bo10b3o$38b2o7b2o9bo2bo$38bobo17b3o$31b2o7bo
23bo$30b2o5bo2bo$31b2ob2ob3o$32bobo31bo$34bo30bobo$66b2o2$29bo7bo$28bo
bo5bobo3b3o$28bobo5b2o4bo2bo$29bo12bob2o$60bo5b2o$59b2o4bo2bo$57b3o6b
2o$40b2o14bo2bo$55b2o$56b2o$57b4o$59bo$59bo2$46bo$45bobo$45bobo$46bo!
Glider guns, or G guns,are trivial, as you can simply do a 2T to G reaction with the streams. Here's a non-optimzied example.
Code:
Select all
x = 113, y = 58, rule = B3/S23-a4ity5c6cHistory
90.A$89.A.A.D$89.A.A3D$90.A.3D8$110.2A$109.A2.A$110.2A$109.2D$109.3D$
109.2D2$80.2D$79.3D$80.2D$79.2A$78.A2.A$12.A66.2A11.A$11.A.A.D76.2A$11.
A.A3D76.2A$12.A.3D75.2A5$96.3D$96.3D$97.D4$31.2D52.A9.2D$31.3D48.A.2A
9.3D$31.2D52.A9.2D2$2.2D21.A$.3D20.3A$2.2D19.2A.A$.2A$A2.A$.2A8$18.3D
.A$18.3DA.A$19.D.A.A$22.A!
As seen by this, a gun can be capped by adding a beehive three below the T stream. You can move them as far out, as long as they keep being that position away. Here's an example:
Code:
Select all
x = 37, y = 44, rule = B3/S23-a4ity5c6cHistory
15.A$14.A.A$14.A.A$15.A7$18.D$17.3D$17.3D11$34.2D$34.3D$34.2D2$5.2D21.
A$4.3D20.3A$5.2D19.2A.A$.2A$A2.A$.2A8$21.3D.A$21.3DA.A$22.D.A.A$25.A!
As yes, oscillators! Gliders and Guns hasn't been proven omniperiodic, however we have proven, as seen above, that all periods above 39 exist.
Oscillators 39 and above:
Code:
Select all
x = 232, y = 108, rule = B3/S23-a4ity5c6c
46bobobo2bobobo13bo3bo2bobobo10bobobo2bo3bo23bo2bobobo2bobobo10bo2bob
obo2bobobo7bobobo2bobobo2bobobo10bobobo2bobobo2bobobo2$43bo6bo2bo3bo13b
o3bo2bo3bo10bo6bo3bo30bo2bo3bo10bo6bo6bo11bo2bo3bo2bo3bo10bo6bo3bo2bo
$41bo$39bo6bobobo2bobobo13bobobo2bobobo10bobobo2bobobo23bo2bobobo2bob
obo10bo2bobobo2bobobo7bobobo2bo3bo2bo3bo10bobobo2bo3bo2bobobo$41bo$43b
o6bo6bo17bo2bo3bo10bo3bo6bo23bo2bo6bo3bo10bo6bo2bo11bo6bo3bo2bo3bo14b
o2bo3bo2bo3bo2$39bobobo2bobobo2bobobo17bo2bobobo10bobobo6bo23bo2bobob
o2bobobo10bo2bobobo2bobobo7bobobo2bobobo2bobobo10bobobo2bobobo2bobobo
3$50bo20b3o29bo30bo22bo$49bobo21bo28bobo28bobo20bob4o13bo16bo6bo7bo$49b
obo17bo2b2o28bobo28bobo20b3obobo12b3o12b3o5bobo5bobo9bo$50bo18bobo31b
o30bo21bob4o16bo10bo9bo7bo10bo3b2o$69b3o84b4obo15b2o10b2o27bo3bobo$37b
o39bo77bobob3o60bob2o$37bo38bobo77b4obo52b3o6b2o$36b4o35bobo82bo38b3o
3b3o15bo$39b2o33bobo122bobo3bobo20bo$40b2o33bo123b3o3b3o19b3o$37bo2bo
14b2o24b3o131b3o8b2o2bo$29b2o6b3o41bobo4b2o29b2o94bo2b2o8b3o$28bo2bo4b
2o41b2o2bo3bo2bo27bo2bo37b2ob2o52b3o$29b2o5bo42bo8b2o29b2o36bo2bobo2b
o51bo$51b2obo12bo11b3o28b2obo43bo2bobo2bo56bo$51bo2bo4b2o5bobo42b3o44b
obobobo56b2o6b3o$52b3o3bobo5bobo43bo43bobobobobobo32bo7bo12b2obo$59bo
7bo87bobo2bobo2bobo30bobo5bobo12bobo3bo$96bo30bo27bo4bobo4bo2b2o27bo7b
o14b2o3bo$29b2o64b3o28b3o27b5ob5o4bo55bo$29bobo30bo32bob2o27bob2o41bo
bo$30bo31bobo54b2o29b2o4b5ob5o5b2o3b2o12b2o$57b3ob2ob2o52bo2bo27bo2bo
2bo4bobo4bo8bo2bo11bobo$56bo2bo5b2o52b2o29b2o3bobo2bobo2bobo8bo2bo13b
o$32bo23bo7b2o90bobobobobobo9b3o14b2o$36b3o17bobo99bobobobo$35bo2bo9b
2o7b2o98bo2bobo2bo$36b3o10bo107bo2bobo2bo$15b2o29b3o35bo74b2ob2o$14bo
2bo28bo29b2o5bobo$15b2o6bo16b2o33bobo5bobo$22b3o15bobo33bo7bo20bo30bo
$21b2obo17bo29bo31bobo28bobo$42b2o60bobo28bobo$20b3o82bo30bo$22bo47bo
$15b2o52bobo11b2o4bo$15bobo4b2o45bobo12b3o2b3o$16bo5bo2b2o42b3o13bo3b
o84b2o10b2o$22bo3bo58bo2b2o85bo10bo$10bo12b3o39b2o19b3o83b3o12b3o$10b
o55bo20bo84bo16bo$14b3o46b3o$16bo46bo30b2o$14bobo76bo2bo$b2o11b2o78b2o
$o2bo63b2o$b2o23b2o40bo$26bobo39bobo$28bo40b2o$28b2o$81b2o$80bobo$33b
o46bo$31b3o46b3o$9bo20bo55bo$8b3o19b2o39b3o12bo$7b2o2bo58bo3bo$7bo3bo
13b3o42b2o2bo5bo$5b3o2b3o12bobo45b2o4bobo$7bo4b2o11bobo52b2o$26bo47bo
$74b3o$53b2o$24bo29bo17bob2o$12bo7bo33bobo15b3o$11bobo5bobo33b2o16bo6b
2o$11bobo5b2o29bo28bo2bo$12bo35b3o29b2o$47bo10b3o$38b2o7b2o9bo2bo$38b
obo17b3o$31b2o7bo23bo$30b2o5bo2bo$31b2ob2ob3o$32bobo31bo$34bo30bobo$66b
2o2$29bo7bo$28bobo5bobo3b3o$28bobo5b2o4bo2bo$29bo12bob2o$60bo5b2o$59b
2o4bo2bo$57b3o6b2o$40b2o14bo2bo$55b2o$56b2o$57b4o$59bo$59bo2$46bo$45b
obo$45bobo$46bo!
I actually just discovered the p132 LCM by accident working on the below 39 list.
(Notable) Oscillators below 39:
Code:
Select all
x = 395, y = 86, rule = B3/S23-a4ity5c6c
obobo9bobobo8bo3bo7bobobo8bobobo7bobobo10bobobo13bobobo13bo3bobobo10b
o7bo9bo3bobobo9bo3bo3bo9bo3bobobo8bo3bobobo4bobobo3bobobo4bobobo7bo5b
obobo3bobobo6bobobo3bobobo8bobobo3bobobo4bobobo3bobobo4bobobo3bobobo4b
obobo3bobobo4bobobo3bobobo4bobobo3bobobo2$4bo13bo8bo3bo7bo12bo15bo10b
o3bo13bo3bo13bo3bo3bo10bo7bo9bo7bo9bo3bo3bo9bo3bo12bo3bo3bo8bo3bo3bo8b
o7bo9bo7bo10bo7bo12bo3bo3bo8bo3bo3bo8bo7bo8bo3bo12bo3bo12bo3bo3bo2$ob
obo9bobobo8bobobo7bobobo8bobobo11bo10bobobo13bobobo13bo3bo3bo10bo7bo9b
o3bobobo9bo3bobobo9bo3bobobo8bo3bobobo4bobobo3bo3bo4bobobo7bo5bobobo3b
obobo6bobobo3bobobo8bobobo3bobobo4bobobo3bo3bo4bobobo3bobobo4bobobo3b
obobo4bobobo3bobobo4bobobo3bobobo2$o17bo12bo11bo8bo3bo11bo10bo3bo17bo
13bo3bo3bo10bo7bo9bo3bo13bo7bo9bo7bo8bo3bo3bo4bo7bo3bo4bo11bo5bo7bo10b
o11bo8bo7bo3bo8bo3bo3bo8bo7bo8bo7bo8bo3bo3bo8bo3bo3bo2$obobo9bobobo12b
o7bobobo8bobobo11bo10bobobo13bobobo13bo3bobobo10bo7bo9bo3bobobo9bo7bo
9bo3bobobo8bo3bobobo4bobobo3bobobo4bobobo7bo5bobobo3bobobo6bobobo3bob
obo8bobobo3bobobo4bobobo3bobobo4bobobo3bobobo4bobobo3bobobo4bobobo3bo
bobo4bobobo3bobobo3$2bo10bobob2o8b6o7bo2bo6bobo3bobo7bo2bo9b3ob2o12b2o
b2o$2bo10b3obobo7b6o6bob2obo4bo2bo3bo2bo2b2o2b4o2b2o5b2o3bo9bo3bobo3b
o13b2ob2o13b2o3b2o12bo13bo9bo12bo8b2o5b2o14b2o13bo5bo9bo7bo10bo21bo5b
o15bo16bo11bo5bo14b2o22bo$2bo16bo20bo2bo6bo2bobo2bo3bobobo2bobobo3b2o
4bob2o7b4obob4o10b2o2bobo2b2o9bo2bobo2bo10bob4o8bob2o5b2obo11bo8b2obo
bob2o14b2o13b3ob3o8bobo5bobo9bo3bo17b3ob3o32bo11b3ob3o14b2o20b3o$15b2o
23bo2bo7bobobobo6bo2b2o2bo5b2o5bobo10bo3bo12bobobobobobobo5b2o2bobobo
bo2b2o7b3obobo6bo2bobo3bobo2bo8b2ob2o5bo3bobo3bo13b2o15bobo11bo7bo10b
o3b2o18bobo32b2ob2o11bobo16b2o6b2o11bo$2bo12bob2o20bob2obo7b2ob2o7b2o
4b2o5bo16b2o2bobo2b2o9b2ob2obob2ob2o7b2o2bobo2b2o9bob4o6bo3b2o5b2o3bo
17bobobobobobo13b2o15bobo35b2o17bobo15bo3bo28bobo16b2o7bo11b2o$o2bo36b
o2bo20b2o4b2o14bo7bob2o3b2obo11bo3bo3bo6bo6bobo6bo6b4obo7b3o9b3o6bobo
3bobo7bobo17b2o9bo2bo2bobo2bo2bo20b3o5b2o12bo2bo2bobo2bo2bo8bob3obo9b
obo3bobo3bo2bo2bobo2bo2bo10b2o7bobo$o2bo48b2ob2o7bo2b2o2bo5bobo5b2o26b
ob2o3bo3b2obo3b8ob8o5bobob3o7bobo9bobo6bo7bo4b4ob4o14b2o10b2obobobobo
b2o44b2obobobobob2o10bo3bo10bo7bo4b2obobobobob2o11b2o8b2o4bo$bo14bo9b
2o3b2o18bobobobo4bobobo2bobobo3b2obo4b2o26b2o5bo5b2o26b4obo8bo11bo5b2o
9b2o37b4obobob4o6b3o3b3o29b4obobob4o6bo3bo3bo3bo4b2o9b2o2b4obobob4o26b
2o$16bo10bobobo9bo8bo2bobo2bo3b2o2b4o2b2o5bo3b2o30b5ob5o5b8ob8o10bo29b
o7bo4b4ob4o13bo17bobo11bobo3bobo20bo13bobo15bo3bo10bo7bo9bobo15bo14b2o
bo$bo12b2ob2o8b2ob2o17bo2bo3bo2bo6bo2bo9b2ob3o28b2o5bo5b2o3bo6bobo6bo
40bobo3bobo7bobo29b4obobob4o6b3o3b3o7b2obo8b3o7b4obobob4o9bob3obo9bob
o3bobo4b4obobob4o26b2o$bobo23bobobo18bobo3bobo54bob2o3bo3b2obo6b2o2bo
bo2b2o55bobobobobobo25b2obobobobob2o23b3o8bob2o6b2obobobobob2o10bo3bo
23b2obobobobob2o6bo7bo$obo9bobo3bobo5b2o3b2o6bo3bo53bobobo14bo3bo3bo7b
2o2bobobobo2b2o21bo11bo9b2ob2o5bo3bobo3bo10bo3bo9bo2bo2bobo2bo2bo23bo
18bo2bo2bobo2bo2bo26b2ob2o5bo2bo2bobo2bo2bo4bo4bo4bo$2bo9bo7bo17bob3o
bo20bo5bo25b5o12b2ob2obob2ob2o8bo2bobo2bo23bobo9bobo10bo8b2obobob2o10b
ob3obo14bobo54bobo34bo13bobo10b2obo3bob2o$10b2o9b2o16bo3bo10bo10b3ob3o
10b2o30bobobobobobobo9b2o3b2o11bobobo8b3o9b3o10bo8b2o5b2o11bo3bo15bob
o54bobo17bo16bo13bobo13bo3bo$12bo7bo14bo3bo3bo3bo5bo13bobo8b2o2bo12b9o
11b2o2bobo2b2o28b5o7bo3b2o5b2o3bo38bo3bo13b3ob3o32b2o5b3o8b3ob3o44b3o
b3o8b4obob4o18b2o$12bobo3bobo10b2o6bo3bo8bo3bo10bobo8bobobo12bo7bo14b
2ob2o44bo2bobo3bobo2bo8b2o18bo10bo3bo13bo5bo31b2o17bo5bo27b2ob2o12bo5b
o8bo3bobo3bo18bobo$27b2obobo5bob3obo8bobobo3bo2bo2bobo2bo2bo4bobob2o12b
3o37b2o12b9o7bob2o5b2obo7bo4bo26bob3obo28bo7bo14b2o3bo25bobo3bobo12b2o
b2o30b2ob2o10b2o11bo$14b2ob2o7bobobo8bo3bo6bo3bobo5b2obobobobob2o4b2o
bobo12bo3bo35bo2bo11bobobobobo8bo9bo8bo4bo12bo7bo6bo3bo16b2o10bobo5bo
bo14bo3bo15b2o7bo2bo3bo2bo12bobo16b2o29bo11b2o$16bo9b2o2b2o17bobo3bo3b
o2b4obobob4o7bobo6b2o5b3o5b2o26b2o2bobo2bo44bo4bo11bo4bo4bo24bo4bo9bo
7bo19bo15b2o8bo2bobo2bo12b2ob2o13bo4bo24b3o$16bo31bo3bo3bobo8bobo11b2o
b2o5bo6bobo6bo12bo15b2o2bobobo44bo2bo12b2obo3bob2o24bo4bo53b2o9bobobo
bo11bo2bobo2bo11bo4bo24bo$26b3o12bo9bobo3bo4b4obobob4o9bo3b2obo2bo3b3o
3bo2bob2o22bo6bo2bo43bobo2bobo13bo3bo26b8o52b2o10b2ob2o11bobobobobobo
10bo4bo$25bo2bo21bobobo7b2obobobobob2o6b2ob2o3bobobob3o3b3obobobo6b2o
bobob2o8b8o14b3o29b2o4b2o10b4obob4o22bo2b4o2bo51b2o26b2o2bobo2b2o11bo
2bo$11bo3b3o3bo3b2o24bo3bo5bo2bo2bobo2bo2bo6bobo3b2obobobobo3bobobobo
b2o8bobo33bobo47bo3bobo3bo23b3o2b3o52b2o10b2ob2o15bobo13bobo2bobo$10b
ob2obobob2obo17b2o12bo12bobo9b2obobo4bobobob3o3b3obobobo4bo2bobobobo2b
o6b8o14b3o50b2ob2o97bobobobo15bo14b2o4b2o$11bobobobobobo16bo4bo9bo13b
obo10bobob2o2b2obo2bo3b3o3bo2bob2o3bobobo3bobobo6bo6bo2bo95b2ob2ob2o62b
o2bobo2bo$11b2obo3bob2o16bo4bo21b3ob3o6bobobo8bo6bobo6bo9bo5bo12b2o2b
obobo93bob6obo60bo2bo3bo2bo$13bo5bo18bo4bo21bo5bo6b2o2bo8b2o5b3o5b2o6b
3o7b3o7b2o2bobo2bo94bo3b2o3bo61bobo3bobo$10b3o7b3o16bo2bo39b2o13bo3bo
10bo15bo8bo2bo14b3o81b3o2b3o$10bo11bo14bobo2bobo53b3o13b3o7b3o11b2o15b
obo83bo2bo$10b3o7b3o14b2o4b2o50bo7bo13bo5bo31b3o$13bo5bo75b9o10bobobo
3bobobo$11b2obo3bob2o92bo2bobobobo2bo$11bobobobobobo75b5o17bobo15b2ob
2o$10bob2obobob2obo74bobobo14b2obobob2o11bobobobo9bobobobobo$11bo3b3o
3bo113b2obobob2o8b9o$120bo15bobobobo$97bobobo32bobobobobobo9b5o$97b5o
32b2o2bobo2b2o9bobobo$138bobo$92b2ob4ob4ob2o32bo$93bobo2bobo2bobo49bo
bobo$90bo2bobo2bobo2bobo2bo46b5o$90b3o3b3ob3o3b3o$97b2ob2o51b9o$90b3o
4b2ob2o4b3o44bobobobobo$90bo2bo3bo3bo3bo2bo$87b2obo2b4o5b4o2bob2o$88b
ob6o7b6obo$87b2o21b2o44b3o$88bob6o7b6obo45bobo$87b2obo2b4o5b4o2bob2o44b
3o$90bo2bo3bo3bo3bo2bo$90b3o4b2ob2o4b3o$97b2ob2o$90b3o3b3ob3o3b3o45b3o
$90bo2bobo2bobo2bobo2bo45bobo$93bobo2bobo2bobo48b3o$92b2ob4ob4ob2o2$97b
5o$97bobobo49bobobobobo$151b9o2$153b5o$153bobobo3$158b2o$159bo$152b2o
5bob2o$151bo4b2obobo$152bobo2bobob2o$150bobob4obo$150b2o2bo2bobo$154b
2o2bo!
The missing periods are: 13, 16, 17, 19, 24, 25, 26, 27, 29, 31, 32, 34, and 37.
Conduits
That one B duplicator
This is the fun part, and it's also the most painful.
To begin, we have a B to 2B conduit. Its repeat time, as shown is somewhere above 30, and somewhere below 60. It moves B's differently that usual reotationallows, and can duplicate B's.
Code:
Select all
x = 18, y = 26, rule = B3/S23-a4ity5c6cHistory
15.D$7.2A5.3D$7.A.A4.D.2D$8.A4$6.2A$7.2A$6.2A$6.A4$14.D.2D$14.3D$15.D
$.D$3D$D.2D3$12.A$11.2A$10.2A$11.2A!
This is the main conduit used to prove the existence of omniperiodic oscillators above or equal to 39.
Aditionally, as you've seen, a B, left to its own devives after passing through a B to 2B, produces a cis-mirrored wing.
This is intriguing for T-splitters, as, as shown below, a T + Cis Mirrored Wing, which i will shorten to W from now own, can produce a B. This, combined by the fact a B to 2B to W exists, and B's naturally emit T's, makes it the prime usage for T-splitters.
Code:
Select all
x = 83, y = 33, rule = B3/S23-a4ity5c6cHistory
6.2C.C$7.3C4.2A$8.C4.A.A$14.A5$.2D11.2D$2D13.2D$.2D11.2D$2.D11.D4$33.
2A$32.A2.A$33.2A4$81.C$81.2C$81.C$6.2D.2D12.2D$5.D.D.D.D12.2D$4.D2.D.
D2.D10.2D$5.2D3.2D11.D3$32.2D.D$33.3D$34.D!
It's also able to have one of its outputs blocked by a fishhook, to made it a plain 90 degree rotator.
Code:
Select all
x = 83, y = 24, rule = B3/S23-a4ity5c6cHistory
6.2C.C$7.3C4.2A$8.C4.A.A$14.A5$.2D11.2D$2D13.2D$.2D11.2D$2.D11.D$16.2A
$16.A$17.3A$19.A6$81.C$81.2C$81.C!
Here is a 90 degree rotator and vertical flipper for the B, with repeat time 41.It is the other conduit used in GUYTU6J's infamous Guns and Gliders reflector, which I call the toblerone. You'll see it.
Code:
Select all
x = 22, y = 14, rule = B3/S23-a4ity5c6cHistory
19.D$19.2D$20.2D$19.2D7$2.2A$.A.A5.A$.A6.3A$2A6.A.2A!
This is 180 degree B rotator with flipping. This is the most useless of all of the conduits, and can only pair with itself twice. However, if you do repeat it twice, it allows you to move the B horizontally by 2.
Code:
Select all
x = 10, y = 18, rule = B3/S23-a4ity5c6cHistory
9.A$7.3A$6.A$6.2A9$D.2D$3D$.D$2.A$.3A$.A.2A!
This is also a 90 degree rotator, but it isn't complete because you have to clear the snake every time.
Code:
Select all
x = 15, y = 17, rule = B3/S23-a4ity5c6cHistory
2A$.A$.A.A$2.2A$12.2D$13.2D$6.2C4.2D$7.C4.D$6.C$6.2C2$8.A3$7.A$6.3A$6.
A.2A!
This is a B to 2T. It doesn't have much use as of now, but one of my alternative proposals for a smaller stable T splitter, that being synthesizing the B at the new location by moving two B's into position and then converting them into 2 T's, which collide to form a B, could end up using this.
Code:
Select all
x = 10, y = 18, rule = B3/S23-a4ity5c6cHistory
9.A$7.3A$6.A$6.2A4$8.D$D6.2D$2D6.D$D5$4.A$3.3A$3.A.2A!
While the cis-mirrored wing does act as a one-time T to B, I don't believe a GOOD T to B exists yet, though removing a fishhook on the lower left part of the toblerone splitter does work.
Eaters
As shown many times, a beehive in the right posiiton works as a T eater.
Code:
Select all
x = 10, y = 6, rule = B3/S23-a4ity5c6cHistory
7.2A$6.A2.A$7.2A$.A$2A$.A!
And a fishhook works as a B eater.
Code:
Select all
x = 11, y = 7, rule = B3/S23-a4ity5c6cHistory
2A$.2A$2A$A6.2A$7.A.A$9.A$9.2A!
And, although not talked about often in this rule, also a G eater.
Code:
Select all
x = 13, y = 14, rule = B3/S23-a4ity5c6cHistory
.A$2.A$3A8$9.2A$9.A$10.3A$12.A!
Can I tell you how
HARD it is to make a T splitter? Someone's done it, but it's GUYTU6J's Toblerone, aka: it's HUGE
AND ridiculously slow, because it only carries one at a time.
Code:
Select all
x = 559, y = 529, rule = B3/S23-a4ity5c6c
35b2o11b2o$35bobo10bo$36bo9bobo$46b2o3$34b2o$35bo$34b2o$34bo5$36b2o$
36bobo11b2o11b2o$37bo12bobo10bo$21b2o5b3o20bo9bobo$21bobo4bob2o29b2o$
22bo2$49b2o$50bo$49b2o$49bo$38b2o$39bo$36b3o$36bo12b2o$50bo$26b2o22bob
o$27bo23b2o$24b3o42b2o11b2o$24bo44bobo10bo$7b2o5b3o53bo9bobo$7bobo4bob
2o62b2o$8bo2$68b2o$69bo$68b2o$68bo4$68b2o$69bo$12b2o55bobo$13bo56b2o$
10b3o75b2o11b2o$10bo77bobo10bo$3o86bo9bobo$ob2o95b2o3$12bo74b2o$11b2o
75bo$11bo75b2o$11b2o74bo$24b2o$24bobo$26bo$26b2o59b2o$12bo75bo$11bobo
74bobo$11b2o76b2o$107b2o11b2o$107bobo10bo$108bo9bobo$29bo88b2o$28b2o$
28bo$28b2o76b2o$41b2o64bo$41bobo62b2o$43bo62bo$43b2o$29bo$28bobo$28b2o
76b2o$107bo$107bobo$108b2o$46bo79b2o11b2o$45b2o79bobo10bo$45bo81bo9bob
o$45b2o90b2o$58b2o$58bobo$60bo64b2o$60b2o64bo$46bo78b2o$45bobo77bo$45b
2o3$125b2o$63bo62bo$62b2o62bobo$62bo64b2o$62b2o81b2o11b2o$75b2o68bobo
10bo$75bobo68bo9bobo$77bo78b2o$77b2o$63bo$62bobo79b2o$62b2o81bo$144b2o
$144bo2$80bo$79b2o$79bo64b2o$79b2o64bo$92b2o51bobo$92bobo51b2o$94bo69b
2o11b2o$94b2o68bobo10bo$80bo84bo9bobo$79bobo93b2o$79b2o2$163b2o$164bo$
97bo65b2o$96b2o65bo$96bo$96b2o$109b2o$109bobo51b2o$111bo52bo$111b2o51b
obo$97bo67b2o$96bobo84b2o11b2o$96b2o85bobo10bo$184bo9bobo$194b2o2$114b
o$113b2o67b2o$113bo69bo$113b2o67b2o$126b2o54bo$126bobo$128bo$128b2o$
114bo67b2o$113bobo67bo$113b2o68bobo$184b2o$202b2o11b2o$202bobo10bo$
131bo71bo9bobo$130b2o81b2o$130bo$130b2o$143b2o56b2o$143bobo56bo$145bo
55b2o$145b2o54bo$131bo$130bobo$130b2o$201b2o$202bo$202bobo$148bo54b2o$
147b2o72b2o11b2o$147bo73bobo10bo$147b2o73bo9bobo$160b2o70b2o$160bobo$
162bo$162b2o56b2o$148bo72bo$147bobo70b2o$147b2o71bo4$165bo54b2o$164b2o
55bo$164bo56bobo$164b2o56b2o$177b2o61b2o11b2o$177bobo60bobo10bo$179bo
61bo9bobo$179b2o70b2o$165bo$164bobo$164b2o73b2o$240bo$239b2o$239bo$
182bo$181b2o$181bo$181b2o56b2o$194b2o44bo$194bobo43bobo$196bo44b2o$
196b2o61b2o11b2o$182bo76bobo10bo$181bobo76bo9bobo$181b2o87b2o3$258b2o$
199bo59bo$198b2o58b2o$198bo59bo$198b2o$211b2o$211bobo$213bo44b2o$213b
2o44bo$199bo59bobo$198bobo59b2o$198b2o78b2o11b2o$278bobo10bo$279bo9bob
o$289b2o$216bo$215b2o$215bo61b2o$215b2o61bo$228b2o47b2o$228bobo46bo$
230bo$230b2o$216bo$215bobo59b2o$215b2o61bo$278bobo$279b2o$297b2o11b2o$
233bo63bobo10bo$232b2o64bo9bobo$232bo75b2o$232b2o$245b2o$245bobo48b2o$
247bo49bo$247b2o47b2o$233bo62bo$232bobo$232b2o2$296b2o$297bo$250bo46bo
bo$249b2o47b2o$249bo66b2o11b2o$249b2o65bobo10bo$262b2o53bo9bobo$262bob
o62b2o$264bo$264b2o$250bo64b2o$249bobo64bo$249b2o64b2o$315bo3$267bo$
266b2o47b2o$266bo49bo$266b2o48bobo$279b2o36b2o$279bobo53b2o11b2o$281bo
53bobo10bo$281b2o53bo9bobo$267bo78b2o$266bobo$266b2o29bo$295b3o36b2o$
294bo40bo$294b2o38b2o$284bo49bo$283b2o$283bo$283b2o$334b2o$335bo$335bo
bo$336b2o$296bo57b2o11b2o$295bobo56bobo10bo$296b2o57bo9bobo$312bo52b2o
$310b3o$309bo$309b2o42b2o$299bo54bo$298b2o53b2o$298bo54bo$298b2o3$286b
2o65b2o$285bobo9bo56bo$285bo10bobo12bo42bobo$284b2o11b2o11bobo42b2o$
311b2o60b2o11b2o$327bo45bobo10bo$325b3o46bo9bobo$324bo59b2o$324b2o$
314bo$313b2o57b2o$313bo59bo$313b2o57b2o$372bo2$301b2o$300bobo9bo$300bo
10bobo12bo45b2o$299b2o11b2o11bobo45bo$326b2o45bobo$342bo31b2o$340b3o
49b2o11b2o$339bo52bobo10bo$339b2o52bo9bobo$329bo73b2o$328b2o$328bo$
328b2o61b2o$392bo$391b2o$316b2o73bo$315bobo9bo$315bo10bobo12bo$314b2o
11b2o11bobo$341b2o48b2o$357bo34bo$355b3o34bobo$354bo38b2o$354b2o55b2o
11b2o$344bo66bobo10bo$343b2o67bo9bobo$343bo78b2o$343b2o2$410b2o$331b2o
78bo$330bobo9bo67b2o$330bo10bobo12bo53bo$329b2o11b2o11bobo$356b2o$372b
o$370b3o37b2o$369bo41bo$369b2o40bobo$359bo52b2o$358b2o70b2o11b2o$358bo
71bobo10bo$358b2o71bo9bobo$441b2o2$346b2o$345bobo9bo71b2o$345bo10bobo
12bo58bo$344b2o11b2o11bobo56b2o$371b2o56bo$387bo$385b3o$384bo$384b2o
43b2o$374bo55bo$373b2o55bobo$373bo57b2o$373b2o74b2o11b2o$449bobo10bo$
450bo9bobo$361b2o97b2o$360bobo9bo$360bo10bobo12bo$359b2o11b2o11bobo60b
2o$386b2o61bo$402bo45b2o$400b3o45bo$399bo$399b2o$389bo$388b2o58b2o$
388bo60bo$388b2o59bobo$450b2o$468b2o11b2o$376b2o90bobo10bo$375bobo9bo
81bo9bobo$375bo10bobo12bo77b2o$374b2o11b2o11bobo$401b2o$417bo49b2o$
415b3o50bo$414bo52b2o$414b2o51bo$404bo$403b2o$403bo$403b2o62b2o$468bo$
468bobo$391b2o76b2o$390bobo9bo$390bo10bobo12bo$389b2o11b2o11bobo$416b
2o$432bo$430b3o$429bo56b2o$429b2o56bo$419bo66b2o$418b2o66bo$418bo$418b
2o2$503b2o$406b2o94bobo$405bobo9bo85bo$405bo10bobo12bo$404b2o11b2o11bo
bo$431b2o$447bo$445b3o55b2o$444bo59bo$444b2o57b2o$434bo68bo$433b2o57b
2o$433bo59bo$433b2o55b3o13bo$490bo14bobo12b2o$505bobo11bobo$421b2o83bo
13bo$420bobo9bo$420bo10bobo12bo$419b2o11b2o11bobo$446b2o$462bo$460b3o$
459bo$459b2o$449bo$448b2o$448bo$448b2o39b2o48b2o$488bo2bo46bo2bo$489b
2o48b2o$436b2o$435bobo9bo$435bo10bobo12bo$434b2o11b2o11bobo74bo$461b2o
74b2o$477bo59bo$475b3o34b2ob2o12b2o$474bo36bobobobo12bo$474b2o34bo2bob
o2bo10b2o$464bo46b2o3b2o11bo$463b2o$463bo$463b2o$504bo41b2o$503bobo39b
obo$451b2o50bobo40bo$450bobo9bo41bo$450bo10bobo12bo$449b2o11b2o11bobo$
476b2o$492bo31bo21b2o$490b3o30bobo21bo$489bo33bobo20b2o$489b2o33bo21bo
$479bo55b2o$478b2o56bo$478bo54b3o19b2obo$478b2o53bo22b3o$548bo$546b3o$
466b2o77bo$465bobo9bo67b2o$465bo10bobo12bo$464b2o11b2o11bobo$491b2o$
507bo$505b3o$504bo$504b2o$494bo$493b2o$493bo$493b2o55bo$541b2obo4bobo$
542b3o5b2o$481b2o51bo$480bobo9bo39b3o$480bo10bobo12bo24bo$479b2o11b2o
11bobo23b2o$506b2o$522bo$520b3o$519bo$519b2o$509bo$508b2o$508bo$508b2o
2$536bo$496b2o29b2obo4bobo$495bobo9bo20b3o5b2o$495bo10bobo12bo$494b2o
11b2o11bobo$521b2o5$524bo$523b2o$523bo$523b2o3$511b2o$510bobo9bo$510bo
10bobo$509b2o11b2o!
LOOK AT IT! It's enormous. We'd have circuits the size of planets. Not bashing 2023 GUYTU6J for his work, doing this is impressive, and he's the reason we have all these conduits to begin with, but it's too big to be practical. The good news is there's been a lot of proposals for a smaller splitter. Here's three of them:
Option A: Cis-mirrored wing as bait.
This is what the Toblerone uses, and it could be vastly shrinked down, even according to 2023 GUYTU6J. It's esseentially this.
Code:
Select all
x = 32, y = 33, rule = B3/S23-a4ity5c6cHistory
2.2D.D$3.3D4.2A$4.D4.A.A$10.A18$18.A$18.A.A$18.A$2.2A.2A$.A.A.A.A$A2.
A.A2.A$.2A3.2A3$28.2D.D$29.3D$30.D!
You essentially just add a T, that destroys the W, making a B. If you then manage to move this B to the top, while in the process emitting at least 2 T's, it restores the W, and you get a stable T splitter. The problem is this is really hard. I've tried for hours on end with nothing.
Option B: 2T to B.
This method is similar to option A, except instead, you respawn the top B, and therefore the W, using two T's colliding made with the B to 2 T's, instead of moving the original B. The leftover T's from the conduits are more than what you put in.
The benefits are you don't have to move a B into a precise spot, and the two T's can be arbitrarily far apart as long as the timing and lanes are right. The problem is introducing timing, and lanes. It's the move a B into a precise spot trick, twice, and with timing. I see this as 2nd highest potential.
Option C: Different bait entirely.
Maybe there's another bait whos construction using B's is mroe convient. I'm not a believer in this, I feel the W is already pushing the limit, but it's just a thought.
The most valuable things for GnG circuitry will definitely be small T to B and T-splitters.
