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B25678/S4578
Posted: July 4th, 2014, 9:04 am
by velcrorex
This rule is symmetric under on/off reversal and has a few interesting patterns.
Guns which can be activated by a tiny ship:
Code: Select all
x = 52, y = 33, rule = B25678/S4578
37bo8bo$8bo4bo24bo6bo$7bo6bo23bo6bo$7bo6bo23bo6bo$7bo6bo24bo4bo$6bo8bo
$$bbo16bo13bo16bo$4bo12bo16b4o8b4o$obo16bobo10b5ob8ob5o$ob3ob10ob3obo
10bob16obo$3ob14ob3o10b20o$ob3ob10ob3obo10b20o$obo16bobo10b20o$4bo12bo
14bob16obo$bbo16bo12b5ob8ob5o$34b4o8b4o$33bo16bo12$10boo$41boo$9bobbo$
40bobbo!
Ships and other miscellanea.
Code: Select all
x = 461, y = 149, rule = B25678/S4578
46bobbo$$47boo13$44bo$47b22o$44bobb21o6bo$35b4obbo3bobb13o4b5obo4bo$
45bob21o3boobb5o$40boboobbobb17o5bo$39bobbo3bobo22b3oboobo$42bobobo22b
obb5o$40bobo280bo3bobbo3bo$69bobbo280b4o$325bob4obo$325b3obb3o52bo4bo$
322bobb3obb3obbo18boo27boboobboobo$48boo273b4o4b4o17boboobo$321boboobo
4boboobo16b4o27bo6bo$47bobbo273b3o4b3o19bobbo28boobboo$324b3o4b3o20boo
24bobo10bobo$324bobb4obbo45bobobobo4bobobobo$323boob6oboo17bo4bo22b3o
bbo4bobb3o$325bob4obo47b3obob4obob3o$195bo8bo119bob6obo18boobboo22b3o
bbo4bobb3o$196b8o62bo4bo53b8o16bob8obo19bobob8obobo$197bo4bo124b4o20bo
6bo21b16o$195boobboobboo19bo43boo53bobobboobbobo16bobboobbo21b16o$199b
oo21bobo42b4o54bob4obo18bobobbobo21b3ob8ob3o$199boo23bo40boo4boo12bo5b
o32b10o19b4o23b16o$199boo20booboo40b6o14b5o35b6o48b3ob8ob3o40bo3bobo$
199boo20boobo41b6o9bo6bo6bo27bo10bo12bobo10bobo17b4oboobboob4o41b3obo$
199boo20bo4bo39boobboo10bo11bo29bobb4obbo13bobo10bobo17b3oboo4boob3o
41b3obo3bo$199boo20boo44b4o14b3ob3o55b3obo6bob3o17b5o6b5o41b5obbobo$
199boo18boboobo42bobbo14b3ob3o30bobo8bobo11bob12obo17b5o6b5o40bobb7obo
$199boo21b4o41b4o14bob3obo31boo8boo12booboboobbooboboo17b5obboobb5o41b
8o$199boo63bobb4obbo11boo3boo31b3o6b3o12bobob3obb3obobo17b5o6b5o40bo3b
7obo$199boo18bobo3bo59b7o32boobboobboo17bo6bo21b5o6b5o44b3obo6bo$199b
oo24bobo37bobboobbo12b7o32boboobboobo46bob3o6b3obo43b6obobo$6bo8bo183b
oo23b4o40boo12bobb7obbo29boobboobboo15bobo6bobo19b5obobbob5o42bobobo5b
3obo$7bo6bo184boo23b4o38bo4bo11boob5oboo30b10o46b4oboobboob4o43bobbobo
bobo$7bo6bo175bobbo5boo22b5o40boo13bobob3obobo30b3oboob3o19b4o22bob3ob
o4bob3obo43bo6b4obo$7bo6bo25bo16bo133boo6boo22booboo39bobbo12b11o30bob
o4bobo19bobbo24bo3boobboo3bo47bob7obbo$8b6o28bo12bo51bo20bo70boo22boob
oo40boo15b7o31b4o4b4o18bobbo24boob3obb3oboo50bob3oboobo$38bob3o12b3obo
47bobo16bobo70boo22booboo8bo6bo24boo15bobobobo33boo4boo20bobbo24b4o6b
4o50boboobboo$bbo6bobbo6bo20boobo10boboo46b4o20b4o67boo22booboo9bo4bo
25boo12bobobbobobbobo30b8o21boo25b4obboobb4o48bo5b4obbo$4bo12bo21boobb
12obboo16bo21bo8b3o18b3o11bo24bo23bo8boo22b5o9b6o25boo14bobooboobo30bo
4boo4bo46boob3obb3oboo25bo4bo19bobob3o4b4o$obo16bobo19boob10oboo20bo
17bo9bo24bo9bo26bo25bo5boo22b5o6bo4boo4bo22boo13b11o59b4o24b4obboobb4o
31bo21bo6bo$ob3ob10ob3obo20boob8oboo17bobo21bobo38bobobobb18obbobobo
21boo6boo22b5o7bo3boo3bo23boo14bob5obo29bobobo4bobobo45b5oboob5o28boo
4bobo17bo5bob3o$3ob14ob3o20b14o17bob3ob15ob3obo8boobb12obboo9bobbob3ob
16ob3obobbo28boo22b5o7boboboobobo23boo14bob5obo31bo3boo3bo47b5oboob5o
27boboboo23bob3o$ob3ob4obb4ob3obo20b14o17b3ob19ob3o8boobb12obboo14boob
18oboo33boo22b5o11boo22bobboboo12bo3b5o3bo29b3oboob3o45bob5o4b5obo25b
4obboobobo18bo3bobo$obo7boo7bobo20boob8oboo17bob3ob15ob3obo8boobb12obb
oo14boob18oboo33boo22b5o11boo27boo13bobbooboobbo28bobobbobbobbobo46b
12o26bo3boo3b3o20bobobboobo$4bo12bo23boob10oboo16bobo21bobo8boobb12obb
oo9bobbob3ob16ob3obobbo28boo22b5o36boobboo17b3o34bo8bo47b3o3boo3b3o26b
obo7boo19boboboobo$bbo16bo19boobb12obboo18bo17bo42bobobobb18obbobobo
29boo19bobbooboo9bo4bo23b4o18bo37bo4bo47bo5boboobo5bo26bo4bo3boobbo15b
obo3boo$40boobo10boboo17bo21bo7bo24bo9bo26bo22bobbo5boo20bobob3o9bo4bo
27bo16bobo37bobbo53bobboobbo32bobb7oboo20bo$8bo4bo24bob3o12b3obo46b3o
18b3o11bo24bo32boo18boobboobbo9bo4bo21bobb3o15bo5bo31bo4boo4bo45bobboo
6boobbo26boboobboob6o$7bo6bo27bo12bo30boo16b4o20b4o59boo6boo19boobobb
oo9bo4bo24bo59bobbo50bo3boboobo3bo30bobbobob4oboo$7bo6bo25bo16bo49bobo
16bobo70boo22b5o39bo18b5o33boobboobboo53boo33bob3oboob6o$7bo6bo70bobbo
18bo20bo70boo18bobobobobo40boo16bobobo35boboobo50bobbo4bobbo32b11o$6bo
8bo183boo22b5o41bo13bobob3obobo55bo9bo23boo6boo31bobb10oboo$117boo80b
oo22b5o37boo3bo14booboboo60b5o28boobboo38b5ob3o$153boo44boo22b5o34bobb
obboo14b9o56b3ob3ob3o68b7o3bo$116bobbo79boo22b5o37bobobo15bob3obo55b4o
b5ob4o25boo38b3ob4ob3obbobbo$152bobbo43boo22b5o39b3o16bobobo57b4ob3ob
4o21bo10bo36bo3bob4o$199boo22b5o36boob3o14boob3oboo53bob4ob3ob4obo21bo
6bo38bobbob3o4b3o$199boo22b5o36boboobo12bobbob3obobbo53bobb7obbo18bo3b
o8bo3bo36bo3bo$199boo21bob4o35b3obo15boo7boo54bobo3bo3bobo19bobb4obb4o
bbo$199boo23boboo8b7o21bob3o79boobobbobboboo23boo4boo44bo7bo$199boo20b
3o15bo26bo17bo7bo55booboo3booboo22boobobboboo45bo$199boo23boo8bobo5bob
o41bo3bo57boobb5obboo20bobb3obb3obbo43bo4bo$199boo20bo4bobo9bobo24b3o
18booboo30b4o6b4o13b3ob5ob3o19boboob6oboobo40bobobbo$199boo22bo12bobbo
bbo21bobobo15b4ob4o55b13o20b14o$199boo19b4o12b3ob3o23bo19bo3bo57b3obb
3obb3o20boobb6obboo$198bobbo23bo9bo3bo3bo44bo33boo8boo14b5o3b5o20b14o$
199boo19bobbo14bobo24b3o19b3o30boboobo4boboobo12b4obobob4o20b3obo4bob
3o$222bo14bobobo22bobobo17bobobo30b4o6b4o13b4o5b4o20b4ob4ob4o$225bo10b
obobobo23bo21bo32b4o6b4o13b3obo3bob3o20b6obb6o$225bo10bobbobbo78bobo8b
obo13b3o7b3o20b6obb6o$225bo10bobobobo78b3o8b3o12boboo7boobo19b4ob4ob4o
$225bo10bobbobbo78b3o8b3o13bo4b3o4bo18bobob3oboob3obobo$238bobo80b4o6b
4o14bobb5obbo21boobb6obboo$320bob5obb5obo11booboboboboboboo19boobobboo
bboboo$321bob3o4b3obo17booboo24boboob4oboobo$324bobobbobo16boobbooboo
bboo18b3ob3o4b3ob3o$324b3obb3o15bobb9obbo20b5obb5o$322bob3obb3obo14b4o
b3ob4o19booboob4obooboo$324boobooboo17b11o22bobobobbobobo$321b6obb6o
11bobooboboboboboobo21boobooboo$323b4obb4o14b3obob3obob3o22bobboobbo$
320bo3bobboobbo3bo9boobobbob3obobboboo19bobbobbobbo$322booboobbooboo
12bo4b7o4bo23bobbo$276bo4bo41bob6obo13boo4b5o4boo24boo$323bobo4bobo13b
oobbobobobobobboo$277b5o41b4obb4o13boo3b7o3boo21b3obb3o$280bo42b3o4b3o
13boo3boo3boo3boo19bobobboobbobo$280bo42bob6obo13boobbobo3bobobboo22b
oobboo$279bobo40bobob4obobo12boobb3o3b3obboo18boobb6obboo$277bobo44b8o
14bobooboboboboboobo20boob4oboo$278boo44b8o14b4ob3ob3ob4o17bo5b4o5bo$
277b3o44bob4obo13b5ob7ob5o17boo4boo4boo$275boobboobo39bob8obo13b5ob3ob
5o19bobb3obb3obbo$276b6o41bo8bo13boboob3ob3oboobo20boobobboboo$276b5o
42bobbobbobbo17bobbobobbo$274bob6obo40bobobbobo14bo3bobb3obbo3bo20bobo
4bobo$276b6o44bobbo17bobobb5obbobo21boboboobobo$277b4o67bobbooboboobbo
20bobb8obbo$273bo3b4o3bo41bobbo18bo4b3o4bo21b4oboob4o$274bobb4obbo37bo
4bobbo4bo13bo3bobobo3bo21boob6oboo$278boo42bobbo4bobbo16bo7bo23b4oboob
4o$277bobbo43bo6bo18bo3bo3bo21bobbobo4bobobbo$348bo4b3o4bo20b5o4b5o$
324bobboobbo19boo3boo23b5o4b5o$327boo25bo26b5o4b5o$324boo4boo49b5oboob
5o$322bo10bo19bobo25b3o3boo3b3o$323bobo4bobo18bo5bo23boo4boo4boo$353bo
bo25b4obboobb4o$381bobbo6bobbo$381b3obb4obb3o$381bo12bo$380bo5b4o5bo$
381bobo8bobo$383bob6obo$383bob6obo$386b4o$384b8o$$382bobo6bobo$387boo$
381boboboboobobobo$380bobo3bobbo3bobo$382bob8obo$380bo3b8o3bo$382bobb
6obbo$386b4o$$385bo4bo$386b4o!
Can anyone else find or engineer any interesting patterns?
Re: B25678/S4578
Posted: July 4th, 2014, 2:27 pm
by lukebradford
Not wildly interesting, but the 'ball pit' extensible p2 oscillator from Seeds and Live Free or Die works here too.
Code: Select all
x = 68, y = 27, rule = B25678/S4578
4bo3bo19bo3bo19bo3bo$2bo2b3o2bo15bo2b3o2bo15bo2b3o2bo$b2o7b2o13b2o7b2o
13b2o7b2o2$o4b3o4bo11bo4b3o4bo11bo4b3o4bo$bo2bo3bo2bo13bo2bo3bo2bo13bo
2bo3bo2bo$bo2bo3bo2bo13bo2bo3bo2bo13bo2bo3bo2bo$bo2bo3bo2bo9bo3bo2bo3b
o2bo9bo3bo2bo3bo2bo3bo$o4b3o4bo6bo2b3o4b3o4bo6bo2b3o4b3o4b3o2bo$18b2o
22b2o21b2o$b2o7b2o22b2o$2bo2b3o2bo6bo4b3o4b3o2bo6bo4b3o4b3o4b3o4bo$4bo
3bo9bo2bo3bo2bo3bo9bo2bo3bo2bo3bo2bo3bo2bo$18bo2bo3bo2bo13bo2bo3bo2bo
3bo2bo3bo2bo$18bo2bo3bo2bo13bo2bo3bo2bo3bo2bo3bo2bo$17bo4b3o4bo11bo4b
3o4b3o4b3o4bo2$18b2o7b2o13b2o21b2o$19bo2b3o2bo15bo2b3o4b3o4b3o2bo$21bo
3bo19bo3bo2bo3bo2bo3bo$49bo2bo3bo2bo$49bo2bo3bo2bo$48bo4b3o4bo2$49b2o
7b2o$50bo2b3o2bo$52bo3bo!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 5th, 2016, 4:18 pm
by gameoflifeboy
B25678/S4578 is a self-inverse variant of Seeds. Solid rectangles whose dimensions are 4 or greater form period 3 oscillators, which can change or form guns when hit by spaceships:
Code: Select all
x = 119, y = 218, rule = B25678/S4578
68bo2bo2$69b2o128$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$o30b88o$bo
29b88o$bo29b88o$o30b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b88o$31b
88o$31b88o!
I think the smallest possible gun is this:
Code: Select all
x = 10, y = 4, rule = B25678/S4578
4o2b4o$10o$3ob2ob3o$10o!
With more than one photon inside, they can run for a long time before the photons collide and make the pattern explode:
Code: Select all
x = 49, y = 50, rule = B25678/S4578
49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$
49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$3ob2ob
42o$49o$4o2b43o$49o$49o$49o$49o$49o$49o$49o$2ob46o$4ob44o$4ob44o$2ob
46o$49o$49o$49o!
There is also a double wickstretcher:
Code: Select all
x = 4, y = 2, rule = B25678/S4578
4o$4o!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 5th, 2016, 5:13 pm
by Sokwe
gameoflifeboy wrote:B25678/S4578 is a self-inverse variant of Seeds. Solid rectangles whose dimensions are 4 or greater form period 3 oscillators, which can change or form guns when hit by spaceships
I think these might be the first high-period guns in a B2 rule.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 5th, 2016, 9:12 pm
by gameoflifeboy
I found an eater for the wick so we can make extensible spaceships too:
Code: Select all
x = 39, y = 46, rule = B25678/S4578
12bo$9bo4bo$6bo4b3obo$8b3ob3obo$o3bob2ob2ob3obo$2bob3obobo4bo$2b2o3bo
2bobo$o2bobo4bobo$3bob4obo4bo$3bobob4ob3obo$3bobob4ob3obo$3bob4obo4bo$
o2bobo4bobo$2b2o3bo2bobo$2bob3obobo4bo$o3bob2ob2ob3obo$8b3ob3obo$6bo4b
3obo$9bo4bo$12bo7$12bo$9bo4bo$6bo4b3obo$8b3ob3obo$o3bob2ob2ob3obo$2bob
3obobo4bo$2b2o3bo2bobo$o2bobo4bobo$3bob4obo26bo$3bobob4ob25obo$3bobob
4ob25obo$3bob4obo26bo$o2bobo4bobo$2b2o3bo2bobo$2bob3obobo4bo$o3bob2ob
2ob3obo$8b3ob3obo$6bo4b3obo$9bo4bo$12bo!
EDIT: A smaller one:
Code: Select all
x = 34, y = 16, rule = B25678/S4578
6bo$3bo4bo$o4b3obo$2b3ob2obo$2bob3obo$o6bo$4bo27bo$6b26obo$6b26obo$4bo
27bo$o6bo$2bob3obo$2b3ob2obo$o4b3obo$3bo4bo$6bo!
EDIT 2: An even smaller one:
Code: Select all
x = 31, y = 12, rule = B25678/S4578
3bo$4bo$4bo$3bo$o28bo$2b27obo$2b27obo$o28bo$3bo$4bo$4bo$3bo!
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 5th, 2016, 9:49 pm
by gameoflifeboy
Here's an actual wickstretcher, but by now I'm pretty sure this isn't the smallest ending:
Code: Select all
x = 11, y = 6, rule = B25678/S4578
4bo3bo$bo4bobobo$ob5ob2o$ob5ob2o$bo4bobobo$4bo3bo!
Sokwe wrote:I think these might be the first high-period guns in a B2 rule.
I actually found them in April 2015, but I didn't post them until now. Now I have a motivation to find more things in this rule.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 6th, 2016, 9:20 am
by Gamedziner
gameoflifeboy wrote:With more than one photon inside, they can run for a long time before the photons collide and make the pattern explode:
Code: Select all
x = 49, y = 50, rule = B25678/S4578
49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$
49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$49o$3ob2ob
42o$49o$4o2b43o$49o$49o$49o$49o$49o$49o$49o$2ob46o$4ob44o$4ob44o$2ob
46o$49o$49o$49o!
In the special case of a square, they never collide:
Code: Select all
x = 50, y = 50, rule = B25678/S4578
50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$50o$42ob7o$24ob2ob16ob5o$44ob5o$25o2b15ob7o$50o$50o$50o$50o$50o!
Ones that take a seemingly arbitrary amount of time before self-destructing are likely feasible.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 7th, 2016, 12:36 am
by wildmyron
Sokwe wrote:gameoflifeboy wrote:B25678/S4578 is a self-inverse variant of Seeds. Solid rectangles whose dimensions are 4 or greater form period 3 oscillators, which can change or form guns when hit by spaceships
I think these might be the first high-period guns in a B2 rule.
velcorex posted a
pattern collection for this rule in mid-2014 which included the adjustable period gun, although it had a more complex corner stabilisation.
Re: Thread for Your Accidental Discoveries that Aren't in CGOL
Posted: June 7th, 2016, 1:32 am
by gameoflifeboy
Using a torus with shift 11, one can create a pseudorandom number generator:
Code: Select all
x = 98, y = 100, rule = B25678/S4578:T1000+11,200
98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$
98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$
98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$37o2b59o$98o$36ob2ob58o$
98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$
98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$
98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$98o$
98o!
This currently doesn't work in the viewer.
EDIT: Now it does.
Re: B25678/S4578
Posted: June 9th, 2016, 12:27 am
by PHPBB12345
Code: Select all
x = 80, y = 389, rule = B25678/S4578
5bo19bo19bo19bo$3bobo17bobo17bobo17bobo$5bo19bo19bo19bo$2b2ob2o15b2ob
2o15b2ob2o15b2ob2o$2b2obo16b2obo16b2obo16b2obo$2bo4bo14bo4bo14bo4bo14b
o4bo$2b2o18b2o18b2o18b2o$ob2obo14bob2obo14bob2obo14bob2obo$3b4o16b4o
16b4o16b4o2$obo3bo13bobo3bo13bobo3bo13bobo3bo$6bobo6bo10bobo6bo10bobo
6bo10bobo6bo$5b4o4bobo9b4o4bobo9b4o4bobo9b4o4bobo$5b4o6bo9b4o6bo9b4o6b
o9b4o6bo$4b5o3b2ob2o7b5o3b2ob2o7b5o3b2ob2o7b5o3b2ob2o$4b2ob2o3b2obo8b
2ob2o3b2obo8b2ob2o3b2obo8b2ob2o3b2obo$4b2ob2o3bo4bo6b2ob2o3bo4bo6b2ob
2o3bo4bo6b2ob2o3bo4bo$4b2ob2o3b2o10b2ob2o3b2o10b2ob2o3b2o10b2ob2o3b2o$
4b2ob2obob2obo8b2ob2obob2obo8b2ob2obob2obo8b2ob2obob2obo$4b5o4b4o7b5o
4b4o7b5o4b4o7b5o4b4o$4b5o15b5o15b5o15b5o$4b5obobo3bo7b5obobo3bo7b5obob
o3bo7b5obobo3bo$4b5o7bobo5b5o7bobo5b5o7bobo5b5o7bobo$4b5o6b4o5b5o6b4o
5b5o6b4o5b5o6b4o$4b5o6b4o5b5o6b4o5b5o6b4o5b5o6b4o$4b5o5b5o5b5o5b5o5b5o
5b5o5b5o5b5o$4b5o5b2ob2o5b5o5b2ob2o5b5o5b2ob2o5b5o5b2ob2o$4b5o5b2ob2o
5b5o5b2ob2o5b5o5b2ob2o5b5o5b2ob2o$4b5o5b2ob2o5b5o5b2ob2o5b5o5b2ob2o5b
5o5b2ob2o$4b5o5b2ob2o5b5o5b2ob2o5b5o5b2ob2o5b5o5b2ob2o$4b5o5b5o5b5o5b
5o5b5o5b5o5b5o5b5o$4b5o5b5o5b5o5b5o5b5o5b5o5b5o5b5o$4b5o5b5o5b5o5b5o5b
5o5b5o5b5o5b5o$4b4obo4b5o4bob4o5b5o5b4obo4b5o4bob4o5b5o$4b6obo2b5o2bob
6o5b5o5b6obo2b5o2bob6o5b5o$4b3o3b13o3b3o5b5o5b3o3b13o3b3o5b5o$4b6o2b9o
2b6o5b5o5b6o2b9o2b6o5b5o$4b3ob4obob3obob4ob3o5b5o5b3ob4obob3obob4ob3o
5b5o$4b5ob13ob5o5b5o5b5ob13ob5o5b5o$4b2o4b13o4b2o5b5o5b2o4b13o4b2o5b5o
$4b7ob9ob7o5b5o5b7ob9ob7o5b5o$4b2ob2ob13ob2ob2o5b5o5b2ob2ob13ob2ob2o5b
5o$4b4ob15ob4o5b5o5b4ob15ob4o5b5o$4b7ob9ob7o5b5o5b7ob9ob7o5b5o$4b7ob9o
b7o5b5o5b7ob9ob7o5b5o$4b7ob9ob7o5b5o5b7ob9ob7o5b5o$4b7ob9ob7o5b5o5b7ob
9ob7o5b5o$4b25o5b5o5b25o4bob4o$4b24obo4b5o4bob24o2bob6o$4b26obo2b5o2bo
b30o3b3o$4b23o3b13o3b25o2b6o$4b26o2b9o2b25obob4ob3o$4b23ob4obob3obob4o
b27ob5o$4b25ob13ob29o4b2o$4b22o4b13o4b24ob7o$4b27ob9ob31ob2ob2o$4b22ob
2ob13ob2ob27ob4o$4b24ob15ob26ob7o$4b27ob9ob29ob7o$4b27ob9ob29ob7o$4b
27ob9ob29ob7o$4b27ob9ob37o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$
4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b
75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b75o$4b26ob11ob36o$4b
24obob11obob34o$4b26ob11ob27ob8o$4b23o2bo2b9o2bo2b22obob8o$4b23o2bob
11obo2b24ob8o$4b23ob4ob7ob4ob21o2bo2b7o$4b23o2b15o2b21o2bob8o$4b21obo
2bob11obo2bob19ob4ob6o$4b24o4b9o4b22o2b10o$4b61obo2bob8o$4b21obob3ob9o
b3obob20o4b7o$4b27obob5obob37o$4b26o4b5o4b22obob3ob7o$4b26o4b5o4b28obo
b5o$4b25o5b5o5b26o4b5o$4b25o2bo2b5o2bo2b26o4b5o$4b25o2bo2b5o2bo2b25o5b
5o$4b25o2bo2b5o2bo2b25o2bo2b5o$4b25o2bo2b5o2bo2b25o2bo2b5o$4b25o5b5o5b
25o2bo2b5o$4b6ob11ob6o5b5o5b6ob11ob6o2bo2b5o$4b4obob11obob4o5b5o5b4obo
b11obob4o5b5o$4b6ob11ob6o5b5o5b6ob11ob6o5b5o$4b3o2bo2b9o2bo2b3o5b5o5b
3o2bo2b9o2bo2b3o5b5o$4b3o2bob11obo2b3o5b5o5b3o2bob11obo2b3o5b5o$4b3ob
4ob7ob4ob3o5b5o5b3ob4ob7ob4ob3o5b5o$4b3o2b15o2b3o5b5o5b3o2b15o2b3o5b5o
$4bobo2bob11obo2bobo5b5o5bobo2bob11obo2bobo5b5o$4b4o4b9o4b4o5b5o5b4o4b
9o4b4o5b5o$4b25o5b5o5b25o5b5o$4bobob3ob9ob3obobo5b5o5bobob3ob9ob3obobo
5b5o$4b7obob5obob7o5b5o5b7obob5obob7o5b5o$4b6o4b5o4b6o5b5o5b6o4b5o4b6o
5b5o$4b6o4b5o4b6o5b5o5b6o4b5o4b6o5b5o$4b5o5b5o5b5o5b5o5b5o5b5o5b5o5b5o
$4b5o2bo2b5o2bo2b5o5b5o5b5o2bo2b5o2bo2b5o5b5o$4b5o2bo2b5o2bo2b5o5b5o5b
5o2bo2b5o2bo2b5o5b5o$4b5o2bo2b5o2bo2b5o5b5o5b5o2bo2b5o2bo2b5o5b5o$4b5o
2bo2b5o2bo2b5o5b5o5b5o2bo2b5o2bo2b5o5b5o$4b5o5b5o5b5o5b5o5b5o5b5o5b5o
5b5o$4b5o5b5o5b5o5b5o5b5o5b5o5b5o5b5o$4b5o5b5o5b5o5b5o5b5o5b5o5b5o5b5o
$4b5o4bob4o5b5o4bob4o5b5o4bob4o5b5o4bob4o$4b5o6bob2o5b5o6bob2o5b5o6bob
2o5b5o6bob2o$4b5o3b3o9b5o3b3o9b5o3b3o9b5o3b3o$4b5o6b2o7b5o6b2o7b5o6b2o
7b5o6b2o$4b5o3bo4bobo4b5o3bo4bobo4b5o3bo4bobo4b5o3bo4bobo$4b5o5bo9b5o
5bo9b5o5bo9b5o5bo$4b5o2b4o9b5o2b4o9b5o2b4o9b5o2b4o$4b5o7bo7b5o7bo7b5o
7bo7b5o7bo$4b5o2bo2bo9b5o2bo2bo9b5o2bo2bo9b5o2bo2bo$4b5o4bo9bob4o4bo
10b5o4bo9bob4o4bo$4b5o7bo8bob2o7bo7b5o7bo8bob2o7bo$4b5o7bo5b3o11bo7b5o
7bo5b3o11bo$4b5o7bo8b2o9bo7b5o7bo8b2o9bo$4b5o7bo5bo4bobo6bo7b5o7bo5bo
4bobo6bo$4b4obo14bo19b4obo14bo$4b2obo13b4o19b2obo13b4o$8b3o15bo21b3o
15bo$6b2o13bo2bo21b2o13bo2bo$3bobo4bo12bo19bobo4bo12bo$8bo17bo21bo17bo
$8b4o14bo21b4o14bo$6bo19bo19bo19bo$8bo2bo14bo21bo2bo14bo$9bo39bo$6bo
39bo$6bo39bo$6bo39bo$6bo39bo!
Re: B25678/S4578
Posted: February 12th, 2018, 6:54 am
by Naszvadi
Trivial constructions, guns with infinitely many periods (optionally with 2 barrels), p4 eaters, and a bouncer:
Code: Select all
x = 74, y = 112, rule = B25678/S4578
bo7b5o53bo$o3bo4b5o50bo3bo$3bo5b5o51bo$9bob3o$9b3obo$9b3obo$9bob3o$3bo
5b5o51bo$o3bo4b5o50bo3bo$bo7b5o53bo11$bo7b7o51bo$o3bo4b7o48bo3bo$3bo5b
7o49bo$9bob5o$9b3ob3o$9b3ob3o$9bob5o$3bo5b7o49bo$o3bo4b7o48bo3bo$bo7b
7o51bo11$bo7b9o49bo$o3bo4b9o46bo3bo$3bo5b9o47bo$9bob7o$9b3ob5o$9b3ob5o
$9bob7o$3bo5b9o47bo$o3bo4b9o46bo3bo$bo7b9o49bo11$bo7b11o47bo$o3bo4b11o
44bo3bo$3bo5b11o45bo$9bob9o$9b3ob7o$9b3ob7o$9bob9o$3bo5b11o45bo$o3bo4b
11o44bo3bo$bo7b11o47bo11$bo7b13o45bo$o3bo4b13o42bo3bo$3bo5b13o43bo$9bo
b11o$9b3ob9o$9b3ob9o$9bob11o$3bo5b13o43bo$o3bo4b13o42bo3bo$bo7b13o45bo
9$9b11o43b11o$9b11o43b11o$9b4ob6o43b6ob4o$9b3ob3ob3o43b3ob3ob3o$9b6ob
4o43b4ob6o$9b11o6bo36b11o$9b11o4bo38b11o$9b11o4bo38b11o$9b11o6bo36b11o
$9b6ob4o43b4ob6o$9b3ob3ob3o43b3ob3ob3o$9b4ob6o43b6ob4o$9b11o43b11o$9b
11o43b11o!
This rule supports enough huge rectangles with period 3 oscillations in their corners.
However, there are still missing things in order to achieve a complete glider circuitry (right angle turners, for example)-
Re: B25678/S4578
Posted: February 12th, 2018, 2:47 pm
by googleplex
c/3:
Code: Select all
x = 15, y = 46, rule = B25678/S4578
4bo5bo$bo3bo3bo3bo$o3bo5bo3bo$3bobo3bobo$4b7o$4b7o$4bob3obo$4b2o
bob2o$4b7o$4b7o$3b2ob3ob2o$2b11o$bob9obo$2b4obob4o$2bo2b5o2bo$5b
obobo$b13o$3bo2b3o2bo$3b2ob3ob2o$4b7o$3bob5obo$bo2b2obob2o2bo$6b
3o$5bobobo$5bo3bo$5bobobo$4bo5bo$4bobobobo$3bob2ob2obo$5b5o$2b3o
bobob3o$4bo5bo$4b2o3b2o$5b2ob2o$2bo2b2ob2o2bo$3bo3bo3bo$bo2b3ob3o
2bo$4bo5bo$4bo5bo$7bo$3b4ob4o$4b3ob3o$3bo7bo$5bo3bo$5b5o$6b3o!
EDIT:
another c/3:
Code: Select all
x = 15, y = 56, rule = B25678/S4578
5bo3bo$7bo$4bob3obo$6b3o$3bo3bo3bo$5bobobo$5bobobo$4bobobobo$o2b
ob5obo2bo$3bo3bo3bo$3bobo3bobo$5bobobo$2bo9bo2$3bo2bobo2bo$b2o9b
2o$bob9obo$b3o2b3o2b3o$b3ob5ob3o$b4o5b4o$b4o5b4o$b3obo3bob3o$b5o
3b5o$b5o3b5o$b3ob2ob2ob3o$b2obob3obob2o$b6ob6o$b5obob5o$bob9obo$
2b3o2bo2b3o$3bo7bo$7bo$2bo2bobobo2bo$3bo7bo$b2obo2bo2bob2o2$bo11b
o$6bobo$3bob2ob2obo$5b5o$2b3obobob3o$4bo5bo$4b2o3b2o$5b2ob2o$2bo
2b2ob2o2bo$3bo3bo3bo$bo2b3ob3o2bo$4bo5bo$4bo5bo$7bo$3b4ob4o$4b3o
b3o$3bo7bo$5bo3bo$5b5o$6b3o!
Re: B25678/S4578
Posted: February 12th, 2018, 5:39 pm
by AforAmpere
Another, smaller C/3:
Code: Select all
x = 12, y = 12, rule = B25678/S4578
3bob2obo$o2b6o2bo$bo2b4o2bo$5b2o$3b6o$3b6o$3b6o$2bob4obo$4b4o$bob6obo
2$o10bo!
A C/4:
Code: Select all
x = 16, y = 47, rule = B25678/S4578
6b4o$3bo8bo$7b2o$2bob2ob2ob2obo$5bo4bo$5bo4bo$4bobo2bobo$5b2o2b2o$4bo
6bo$4bo2b2o2bo$4bo6bo$6b4o$bob2ob4ob2obo$3b2o2b2o2b2o$5b6o$2b2o2bo2bo
2b2o$3bobo4bobo$3b3ob2ob3o$3b10o$3b4o2b4o$3bob6obo$3b2o2b2o2b2o$3b2o6b
2o$b2ob2ob2ob2ob2o$2b2o8b2o$4bo6bo$3b2obo2bob2o$2bo10bo$3b2ob4ob2o$2bo
2b6o2bo$4bob4obo$2b12o$6b4o$5b6o$3bob6obo$4bob4obo$4b8o$5bob2obo$3b10o
$3bobo4bobo$bob3o4b3obo$2bob2o4b2obo$ob2obo4bob2obo$3bob6obo$4b8o$3bob
o4bobo$3bo8bo!
Re: B25678/S4578
Posted: February 12th, 2018, 6:30 pm
by googleplex
this gun is P10+2N, where N is the width of the rectangle.
Code: Select all
x = 38, y = 30, rule = B25678/S4578
12$16bo7b5o$15bo3bo4b5o$18bo5b5o$24bob3o$24b3obo$24b3obo$24bob3o$18bo
5b5o$15bo3bo4b5o$16bo7b5o!
Re: B25678/S4578
Posted: February 12th, 2018, 6:32 pm
by 77topaz
googleplex wrote:this gun is P10+2N, where N is the width of the rectangle.
That's the same infinite family of guns as the one Naszvadi posted just yesterday.
Re: B25678/S4578
Posted: February 12th, 2018, 6:46 pm
by AforAmpere
3c/5 seems probable:
Code: Select all
x = 35, y = 33, rule = B25678/S4578
4$7bo3bo10bo3bo2$7bo3bo10bo3bo$7bobobo10bobobo$5bo2bobo2bo6bo2bobo2bo$
5b2obobob2o6b2obobob2o$5bo2bo6bo2bo6bo2bo$3bo5bobo2bo4bo2bobo5bo$7bo
18bo$9b3o10b3o$6bo2b4o8b4o2bo$6bo4b2obo4bob2o4bo$12bo8bo$6bo2bo2bo2b4o
2bo2bo2bo$9bobobo6bobobo$10bob2o6b2obo$10bo4b4o4bo$7bobob3ob4ob3obobo$
12b4o2b4o$7bo3bo2bob2obo2bo3bo$5bo10b2o10bo$3bo3b5o2b6o2b5o3bo$5bo4b2o
10b2o4bo$5bob2o3bo2bo2bo2bo3b2obo$3bob4o2bobobo2bobobo2b4obo!
I am searching w34 bilateral in gfind now.
Re: B25678/S4578
Posted: February 12th, 2018, 7:31 pm
by googleplex
77topaz wrote:googleplex wrote:this gun is P10+2N, where N is the width of the rectangle.
That's the same infinite family of guns as the one Naszvadi posted just yesterday.
I was just clarifying the type of infinite family.
Re: B25678/S4578
Posted: February 12th, 2018, 7:36 pm
by AforAmpere
C/5 wickstretcher, can anyone make it into a ship?
Code: Select all
x = 47, y = 192, rule = B25678/S4578
3$22bo2bo$23b2o$21b6o$20bob4obo$21bo4bo$22b4o$20b2o4b2o$22b4o$22bo2bo
2$19bo8bo$21b2o2b2o$20bobo2bobo$21bob2obo$19b3ob2ob3o$19b2o6b2o$19bob
2o2b2obo$19bo8bo$19b2obo2bob2o$17bo2bo2b2o2bo2bo$19b4o2b4o$19bo2b4o2bo
$18b3ob4ob3o$18b12o$16bob4ob2ob4obo$18b2obob2obob2o$18b12o$16bo4b2o2b
2o4bo$20b2ob2ob2o$19b2o2b2o2b2o$21b6o$18b2o2b4o2b2o$22b4o$19b10o$19b2o
bo2bob2o$17bo4bo2bo4bo$23b2o$19bo3b2o3bo$21bob2obo$17b2o2b6o2b2o$19b4o
2b4o$18bob8obo$18b4ob2ob4o$18b4ob2ob4o$18b4ob2ob4o$18b5o2b5o$18b12o$
18b12o$18b12o$18b12o$18b5o2b5o$18b5o2b5o$16bob3ob4ob3obo$17b2o2bob2obo
2b2o$17b2ob2ob2ob2ob2o$17bob10obo$17b14o$17b14o$16bo2b2o6b2o2bo$21bo4b
o$21bo4bo$20bob4obo2$22b4o$18bo2b6o2bo$16bobo4b2o4bobo$17b2obob4obob2o
$17b3ob2o2b2ob3o$17b4ob4ob4o$17bobo2bo2bo2bobo$18b5o2b5o$18bobobo2bobo
bo$18bob3o2b3obo$16bobob2ob2ob2obobo$18b5o2b5o$18b12o$18b12o$17bobobo
4bobobo$18b3ob4ob3o$17bobobob2obobobo$21bo4bo$22bo2bo$18b2o8b2o$18b12o
$18b4o4b4o$18b4ob2ob4o$18b3obo2bob3o$18b5o2b5o$18b12o$16b2ob3ob2ob3ob
2o$17b5ob2ob5o$17b14o$17b4o2b2o2b4o$17b14o$16b2o3b2o2b2o3b2o$19b2ob4ob
2o$17b2o2b6o2b2o$19bob6obo$20b3o2b3o$18bo10bo$16bo14bo$18bobo2b2o2bobo
$18bob2o4b2obo$18b2o2b4o2b2o$18b3obo2bob3o$16bobob3o2b3obobo$17b2ob8ob
2o$17b4ob4ob4o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o2b6o$17b6o
2b6o!
C/5:
Code: Select all
x = 18, y = 123, rule = B25678/S4578
6bo4bo$4bob2o2b2obo2$5bo6bo$6b2o2b2o$bobo10bobo$obobobo4bobobob
o$b3o2bo4bo2b3o$b3obob4obob3o$b3o2bo4bo2b3o$bobob8obobo$b16o$b16o
$b3ob8ob3o$b16o$b3ob8ob3o$b4ob2o2b2ob4o$b3ob2o4b2ob3o$b5o6b5o$b5o
6b5o$b5o2b2o2b5o$b5o6b5o$b5o6b5o$bob3o6b3obo$b5obo2bob5o$b4ob2o2b
2ob4o$ob3obo4bob3obo$2bo3b2o2b2o3bo$2b2ob3o2b3ob2o$2b4o6b4o$2b4o
2b2o2b4o$2b2ob3o2b3ob2o$2b4o2b2o2b4o$2b5ob2ob5o$2b5ob2ob5o$ob5o4b
5obo$3b12o$2b3o3b2o3b3o$o5bob2obo5bo$5bo2b2o2bo$bo2b2o6b2o2bo$2b
o3bob2obo3bo$8b2o$3bo2bo4bo2bo$4b2o6b2o$6b2o2b2o2$8b2o$3bo10bo$5b
o6bo$o3bo8bo3bo$bo2b4o2b4o2bo$5b2o4b2o$4b2obo2bob2o$2bo2b3o2b3o2b
o$bob2ob6ob2obo$2b14o$2b2o2b6o2b2o$2b14o$2b3obo4bob3o$2b4ob4ob4o
$2b6o2b6o$2b6o2b6o$2b4ob4ob4o$obob3ob2ob3obobo$2b2o2b6o2b2o$2b2o
bo2b2o2bob2o$2bob2ob4ob2obo$3ob3o4b3ob3o$3b5o2b5o$b2ob2ob4ob2ob2o
$3bobobo2bobobo$5b2ob2ob2o$5bo2b2o2bo$4bo2bo2bo2bo$7bo2bo$8b2o2$
5b3o2b3o$3bobo2b2o2bobo$6b2o2b2o$2b2o2b6o2b2o$4b2ob4ob2o$bo5b4o5b
o$2b2o4b2o4b2o$2bo2b3o2b3o2bo$4b2obo2bob2o2$4bobo4bobo$4bobob2ob
obo$2bo2b8o2bo$3b4ob2ob4o$3b2ob6ob2o$3b4ob2ob4o$bo2bobo4bobo2bo$
2b5o4b5o$2b5o4b5o$2b5o4b5o$2b5ob2ob5o$2b3o3b2o3b3o$2b2o4b2o4b2o$
2b4o2b2o2b4o$2bo2bo6bo2bo$2b3o2b4o2b3o$2bo12bo$bo5b4o5bo$2bobo8b
obo$4bob6obo$4bob6obo$7b4o$5b8o2$3bobo6bobo$8b2o$2bobobob2obobob
o$bobo3bo2bo3bobo$3bob8obo$bo3b8o3bo$3bo2b6o2bo$7b4o2$6bo4bo$7b4o
!