Find c/4 rakes and puffers?

For general discussion about Conway's Game of Life.
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Redstoneboi
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Re: Find c/4 rakes and puffers?

Post by Redstoneboi » August 20th, 2018, 9:38 am

I don’t know how, but it’s proven they don’t exist.
Welcome to the forums by the way!
I’d recommend asking questions here.
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

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dvgrn
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Re: Find c/4 rakes and puffers?

Post by dvgrn » August 20th, 2018, 9:51 am

Redstoneboi wrote:I don’t know how, but it’s proven they don’t exist.
Must be a flaw in the proof, then. See the Life status page on the Life Wiki to see what's known and what isn't. Are you looking for orthogonal or diagonal c/4? There's a diagonal c/4 sideways rake in Golly's pattern collection -- Patterns/Life/Rakes/c4-sideways-rake.rle.

The first place to hunt for specific examples is Jason Summers' jslife collection.

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Redstoneboi
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Re: Find c/4 rakes and puffers?

Post by Redstoneboi » August 20th, 2018, 9:53 am

Wait, I was looking at c/4 orthogonal puffers, those don’t exist, But c/4 diagonal does. Sorry.
Have a good time here!
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

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Re: Find c/4 rakes and puffers?

Post by dvgrn » August 20th, 2018, 10:23 am

Redstoneboi wrote:Wait, I was looking at c/4 orthogonal puffers, those don’t exist...
Where are you looking, exactly? c/4 orthogonal puffers and rakes certainly do exist, for all periods 120 and above, and a scattering of periods below that. They're actually quite a bit easier to construct than c/4 diagonal ones.

Code: Select all

#C p104 c/4 rake based on p936 glider/negative-glider loop
x = 197, y = 176, rule = B3/S23
131bo3bo$129b9o2$132bobo$129b2obobob2o$62bobobo$61b7o62bobobobo$61bo5b
o61bo2bobo2bo$62bo3bo63bobobobo$62bo3bo60b2obobobobob2o$60b2o5b2o57b2o
2bobobobo2b2o$62bo3bo62b2obobob2o$60b2obobob2o57bo3bobobobo3bo$59bobob
obobobo56bo5bobo5bo$57b3obobobobob3o60bobo$57b2o2bobobobo2b2o56bo9bo$
57b2ob2obobob2ob2o56b2ob5ob2o$60b2obobob2o58bobobo3bobobo$63bobo61bob
3o3b3obo$126bob2o7b2obo$59b2obo3bob2o57b4o5b4o$58bobob5obobo57b2o2bobo
2b2o$58bo5bo5bo57bo2b2ob2o2bo$57b2o3bo3bo3b2o56bo2bo3bo2bo$57bo4bo3bo
4bo56bob7obo$61bo5bo62bo5bo$63bobo64b2o3b2o25bobobo$58b2ob3ob3ob2o61b
3o26b7o$58b2o9b2o61b3o26bo5bo$61bob3obo58bo13bo21bo3bo$64bo61bo13bo21b
o3bo$30b2obob2o24b7o57bobob3o3b3obobo18b2o5b2o$30bo2bo2bo93bob3obo25bo
3bo$30bo2bo2bo26bobo63bo2bobo2bo22b2obobob2o$30b2o3b2o27bo66b2ob2o23bo
bobobobobo$31bo3bo20b3o2bo5bo2b3o58b5o21b3obobobobob3o$30b2o3b2o20bo2b
9o2bo85b2o2bobobobo2b2o$31bo3bo23bo3bobo3bo58b2o7b2o18b2ob2obobob2ob2o
$29b2obobob2o23bo5bo59bobo2bobo2bobo20b2obobob2o$28bobobobobobo22bo5bo
59bo2b3ob3o2bo23bobo$26bobobobobobobobo21bo3bo60b5o3b5o$25bo4bobobobo
4bo21b3o61bobo7bobo19b2obo3bob2o$26b2o4bobo4b2o18b2o7b2o55bob3o7b3obo
16bobob5obobo$28b3obobob3o19bobo2bobo2bobo53bo4bo3bo3bo4bo15bo5bo5bo$
31bo3bo21b2o4bobo4b2o53bob3o3bo3b3obo15b2o3bo3bo3b2o$57b2o4bobo4b2o53b
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bobobobobo17b2ob2o5b2ob2o54bo4b5o4bo22bobo$27bo2b2obob2o2bo15b2o4bo5bo
4b2o57bo3bo22b2ob3ob3ob2o$26b2o4bobo4b2o14b3o2b2ob3ob2o2b3o53bo3b2ob2o
3bo18b2o9b2o$26b2o2b2o3b2o2b2o15bobob2o2bo2b2obobo54bo2bo5bo2bo21bob3o
bo$31bo3bo20b2o3bo5bo3b2o54bo3b5o3bo24bo$29b2obobob2o23b7o60bo9bo22b7o
$27b3ob2ob2ob3o21bo5bo58b2o4b3o4b2o$27b2obo5bob2o21b3ob3o58b15o22bobo$
32b3o22b3obo5bob3o56bo3bobo3bo25bo$30bo5bo21b2o2b5o2b2o56b2o2bo3bo2b2o
16b3o2bo5bo2b3o$31b5o21bobo2bo3bo2bobo53bo2bob2o3b2obo2bo15bo2b9o2bo$
57bo3bo5bo3bo52bobo2bo7bo2bobo16bo3bobo3bo$33bo23bo2b2o5b2o2bo52bobob
2o7b2obobo18bo5bo$26bo6bo6bo16bo13bo53b3o11b3o19bo5bo$25b3ob2o5b2ob3o
16b2ob3ob3ob2o55b2o11b2o21bo3bo$25b2ob3obobob3ob2o14b2obob2o3b2obob2o
54bo11bo23b3o$32bobo20bobo13bobo53b2o3b3o3b2o19b2o7b2o$29bobo3bobo17bo
3b2o7b2o3bo54bo4bo4bo19bobo2bobo2bobo$30b2o3b2o88b2o13b2o15b2o4bobo4b
2o$31b5o20bo2bo9bo2bo52b2ob3o5b3ob2o15b2o4bobo4b2o$32b3o29bo61bo2bo2b
3o2bo2bo$28b2o2bobo2b2o19b2o3b3o3b2o56bo11bo17b2ob2o5b2ob2o$26b2obo7bo
b2o16bobo3b3o3bobo54bo3b2o3b2o3bo14b2o4bo5bo4b2o$31b2ob2o20b2obo9bob2o
54bo5bo5bo15b3o2b2ob3ob2o2b3o$26b2o11b2o18b3o2bo2b3o59bobo3bobo18bobob
2o2bo2b2obobo$28bo9bo17b2o2b2o2bo2b2o2b2o58bo3bo20b2o3bo5bo3b2o$25b2o
2b2o5b2o2b2o15b2o2b7o2b2o56b2o2bobo2b2o22b7o$24bo2b2o4bo4b2o2bo14b2o
11b2o55bobo2bobo2bobo21bo5bo$28bo3b3o3bo23b2ob2o61bo9bo22b3ob3o$27b2o
3b3o3b2o21bobobobo60b2o3bo3b2o18b3obo5bob3o$25b2o13b2o17b2ob2ob2ob2o
55b2o5bobo5b2o16b2o2b5o2b2o$29b2ob3ob2o21b5ob5o55b6o5b6o15bobo2bo3bo2b
obo$29bo7bo20bobo7bobo54bob2o9b2obo15bo3bo5bo3bo$27bo2bo5bo2bo18bo5bo
5bo86bo2b2o5b2o2bo$26bobobo5bobobo17b3o3bo3b3o55b2o3b2ob2o3b2o16bo13bo
$30b7o19bo4bo2bo2bo4bo54bob2obobob2obo18b2ob3ob3ob2o$26bob4obob4obo14b
o4bo7bo4bo52bo2bobo3bobo2bo15b2obob2o3b2obob2o$25b2o3b2o3b2o3b2o14bo
15bo53b2ob3o3b3ob2o14bobo13bobo$25b3ob2o5b2ob3o17bo9bo59bobo3bobo17bo
3b2o7b2o3bo$26bobo9bobo16b3ob3ob3ob3o53bob3o3bo3b3obo$25bo2bobobobobob
o2bo16bobo2bobo2bobo53b2o2b2ob5ob2o2b2o13bo2bo9bo2bo$25b2obobobobobobo
b2o15bo5bobo5bo32b3o7b3o10bobob5obobo24bo$24bobobobo5bobobobo14b2obob
2ob2obob2o55bob2o5b2obo18b2o3b3o3b2o$25bo15bo20b2ob2o37bo2bo5bo2bo9bo
2bo7bo2bo16bobo3b3o3bobo$28b2o7b2o16b4o3bobobo3b4o30bo11bo15b3o21b2obo
9bob2o$55b2o5bo3bo5b2o8bo9bo12b2o7b2o16b3o7bo6bo9b3o2bo2b3o$27b2o3b3o
3b2o17b2o11b2o10bo9bo13bob2ob2obo17b3o6b3o5bo6b2o2b2o2bo2b2o2b2o$27b2o
9b2o17b2obob5obob2o9bobo7bobo9b2ob2obobob2ob2o23b3o4bobo6b2o2b7o2b2o$
25b2ob2o2bobo2b2ob2o17b3o2bo2b3o31b2obo2bobobobo2bob2o37b2o11b2o$25b2o
bo3bobo3bob2o21bobo15bobo7bobo10bo2bobobobo2bo26b2obo15b2ob2o$28bobo5b
obo15b3o5bo3bo15b3o5b3o7bo3bobo2bobo2bobo3bo25bob2o11bobobobo$25b2o13b
2o5b3o13bobo15bo3b2ob2o3bo7b4obobo3bobob4o15b2o5bo3bobobo8b2ob2ob2ob2o
$28b11o9bo5bobo7bo14b3obo2bobo2bob3o9b2o2bobo2b2o15b2obo2bo4bo3bo2b3o
7b5ob5o$26b2o2bo5bo2b2o12bo25bobo2bobobobo2bobo9bo3bobo3bo6bo5bo2b2o2b
obo8b2obo8bobo7bobo$31b2ob2o14bobo10b3o12bo2bob2obobob2obo2bo23bobo13b
o6b2ob2o10bo5bo5bo$29b2o5b2o10b2obo2bo7bo3bo11b2obobo2bobo2bobob2o8bo
4bo4bo8bo3bo4bo15bo8b3o3bo3b3o$28bo9bo7bo2bob2o9bo3bo4b2o5b4obob2ob2ob
ob4o9b2obobob2o5b2o11bo15b2obo3bo4bo2bo2bo4bo$27bo4bobo4bo6bo4b2o9bo3b
o3bo2bo5b2o2b4ob4o2b2o30bo6bo13b2o3bo2bo4bo7bo4bo$27bobob5obobo8bo5bo
8b3o4bo2b2o7b2o7b2o31bo23bo7bo15bo$26b2obo7bob2o9b3o16bo2b2o13bo59bo3b
o7bo9bo$26b4o2b3o2b4o6b3o19b4o10bo3bo3bo56bo2bo5b3ob3ob3ob3o$30bo5bo9b
3o34bo3bo3bo56bo9bobo2bobo2bobo$24b2o15b2o3bo2b2o99b2o5bo5bobo5bo$49bo
107b2obob2ob2obob2o$26bob2obo3bob2obo8b2o99b2o10b2ob2o$26bo3b3ob3o3bo
8b2o100bo3b4o3bobobo3b4o$29b2obobob2o8b3o106b2o5bo3bo5b2o8bo9bo$26bo3b
obobobo3bo110b2o4b2o11b2o10bo9bo$26b2o2bo5bo2b2o116b2obob5obob2o9bobo
7bobo$28bo9bo7b2o111b3o2bo2b3o$24bobo3b2obob2o3bobo3b2o115bobo15bobo7b
obo$24bo7bobo7bo2b2o107b3o5bo3bo15b3o5b3o$4b3o7b3o10b2ob2obob2ob2o107b
3o31bo3b2ob2o3bo$5bo9bo10bo2bob5obo2bo107bo5bobo22b3obo2bobo2bob3o$27b
4o5b4o113bo9b3o13bobo2bobobobo2bobo$6b2o5b2o14b9o4bo107bobo25bo2bob2ob
obob2obo2bo$4bob3o3b3obo14b2ob2o6bo6bo98b2obo2bo23b2obobo2bobo2bobob2o
$4bo3b2ob2o3bo15b3o6bobo4b3o95bo2bob2o25b4obob2ob2obob4o$2bobo2bobobob
o2bobo14bo14b3o83bo11bo4b2o8b2o16b2o2b4ob4o2b2o$b2obo2bobobobo2bob2o
24bo21bo65bobo13bo5bo5bo21b2o7b2o$bo2bob2obobob2obo2bo24b5o15b2o67b2o
15b3o34bo$o3bobo2bobo2bobo3bo23bo3b2o15b2o80b3o10bo3bo18bo3bo3bo$4bobo
7bobo15b5o7bo3b3o95b3o12b2o3bo8bo7bo3bo3bo$bo7bobo7bo11bo5bo6b4o2bo95b
o2b2o13bo2bo5b2o$5b2ob5ob2o6bo12bobo6bo2bo101bo15b2o7b2o$5b2o7b2o4b3o
8b3o2bo9b2o2bo98b2o$9b3o20bo13b3o2bo97b2o$33bo13bo3bo94b3o$33bo13b2o2b
o$49bo$49bo96b2o$47bo2bo95b2o$48b3o94b2o$50bo2$50b2o2$50b3o7$147bo$53b
o91bobo$51b2o93b2o$52b2o$162bo$34bo125b2o$35bo125b2o$33b3o10$45b2o24b
2o24b2o24b2o24b2o$45bobo23bobo23bobo23bobo23bobo$45bo25bo25bo25bo25bo
3$45b2o24b2o24b2o24b2o24b2o$46b2o24b2o24b2o24b2o24b2o$45bo25bo25bo25bo
25bo!
#C [[ TRACK 0 -1/4 AUTOSTART ]]

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77topaz
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Re: Find c/4 rakes and puffers?

Post by 77topaz » August 20th, 2018, 6:25 pm

Maybe Redstoneboi was thinking of c/4 period 4 puffers, which cannot exist?

Also, the OP seems somewhat spammy to me, though the common red flags like links in their signature aren't present.

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Redstoneboi
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Re: Find c/4 rakes and puffers?

Post by Redstoneboi » August 20th, 2018, 7:28 pm

Ok, I'm definitely looking at outdated lists. :oops:
c(>^w^<c)~*
This is 「Fluffy」
「Fluffy」is my sutando.
「Fluffy」has the ability to engineer r e p l i c a t o r s.
「Fluffy」likes to watch spaceship guns in Golly.
「Fluffy」knows Natsuki best girl.

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