## Find c/4 rakes and puffers?

For general discussion about Conway's Game of Life.

### Re: Find c/4 rakes and puffers?

I don’t know how, but it’s proven they don’t exist.
Welcome to the forums by the way!
c(>^w^<c)~*
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Fluffy knows Natsuki best girl.

Redstoneboi

Posts: 332
Joined: May 14th, 2018, 3:57 am

### Re: Find c/4 rakes and puffers?

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.

dvgrn
Moderator

Posts: 5564
Joined: May 17th, 2009, 11:00 pm

### Re: Find c/4 rakes and puffers?

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 the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Fluffy knows Natsuki best girl.

Redstoneboi

Posts: 332
Joined: May 14th, 2018, 3:57 am

### Re: Find c/4 rakes and puffers?

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.

`#C p104 c/4 rake based on p936 glider/negative-glider loopx = 197, y = 176, rule = B3/S23131bo3bo\$129b9o2\$132bobo\$129b2obobob2o\$62bobobo\$61b7o62bobobobo\$61bo5bo61bo2bobo2bo\$62bo3bo63bobobobo\$62bo3bo60b2obobobobob2o\$60b2o5b2o57b2o2bobobobo2b2o\$62bo3bo62b2obobob2o\$60b2obobob2o57bo3bobobobo3bo\$59bobobobobobo56bo5bobo5bo\$57b3obobobobob3o60bobo\$57b2o2bobobobo2b2o56bo9bo\$57b2ob2obobob2ob2o56b2ob5ob2o\$60b2obobob2o58bobobo3bobobo\$63bobo61bob3o3b3obo\$126bob2o7b2obo\$59b2obo3bob2o57b4o5b4o\$58bobob5obobo57b2o2bobo2b2o\$58bo5bo5bo57bo2b2ob2o2bo\$57b2o3bo3bo3b2o56bo2bo3bo2bo\$57bo4bo3bo4bo56bob7obo\$61bo5bo62bo5bo\$63bobo64b2o3b2o25bobobo\$58b2ob3ob3ob2o61b3o26b7o\$58b2o9b2o61b3o26bo5bo\$61bob3obo58bo13bo21bo3bo\$64bo61bo13bo21bo3bo\$30b2obob2o24b7o57bobob3o3b3obobo18b2o5b2o\$30bo2bo2bo93bob3obo25bo3bo\$30bo2bo2bo26bobo63bo2bobo2bo22b2obobob2o\$30b2o3b2o27bo66b2ob2o23bobobobobobo\$31bo3bo20b3o2bo5bo2b3o58b5o21b3obobobobob3o\$30b2o3b2o20bo2b9o2bo85b2o2bobobobo2b2o\$31bo3bo23bo3bobo3bo58b2o7b2o18b2ob2obobob2ob2o\$29b2obobob2o23bo5bo59bobo2bobo2bobo20b2obobob2o\$28bobobobobobo22bo5bo59bo2b3ob3o2bo23bobo\$26bobobobobobobobo21bo3bo60b5o3b5o\$25bo4bobobobo4bo21b3o61bobo7bobo19b2obo3bob2o\$26b2o4bobo4b2o18b2o7b2o55bob3o7b3obo16bobob5obobo\$28b3obobob3o19bobo2bobo2bobo53bo4bo3bo3bo4bo15bo5bo5bo\$31bo3bo21b2o4bobo4b2o53bob3o3bo3b3obo15b2o3bo3bo3b2o\$57b2o4bobo4b2o53bo3bo2bobo2bo3bo15bo4bo3bo4bo\$28b2obobobob2o87bo3bo5bo3bo20bo5bo\$27bobobobobobobo17b2ob2o5b2ob2o54bo4b5o4bo22bobo\$27bo2b2obob2o2bo15b2o4bo5bo4b2o57bo3bo22b2ob3ob3ob2o\$26b2o4bobo4b2o14b3o2b2ob3ob2o2b3o53bo3b2ob2o3bo18b2o9b2o\$26b2o2b2o3b2o2b2o15bobob2o2bo2b2obobo54bo2bo5bo2bo21bob3obo\$31bo3bo20b2o3bo5bo3b2o54bo3b5o3bo24bo\$29b2obobob2o23b7o60bo9bo22b7o\$27b3ob2ob2ob3o21bo5bo58b2o4b3o4b2o\$27b2obo5bob2o21b3ob3o58b15o22bobo\$32b3o22b3obo5bob3o56bo3bobo3bo25bo\$30bo5bo21b2o2b5o2b2o56b2o2bo3bo2b2o16b3o2bo5bo2b3o\$31b5o21bobo2bo3bo2bobo53bo2bob2o3b2obo2bo15bo2b9o2bo\$57bo3bo5bo3bo52bobo2bo7bo2bobo16bo3bobo3bo\$33bo23bo2b2o5b2o2bo52bobob2o7b2obobo18bo5bo\$26bo6bo6bo16bo13bo53b3o11b3o19bo5bo\$25b3ob2o5b2ob3o16b2ob3ob3ob2o55b2o11b2o21bo3bo\$25b2ob3obobob3ob2o14b2obob2o3b2obob2o54bo11bo23b3o\$32bobo20bobo13bobo53b2o3b3o3b2o19b2o7b2o\$29bobo3bobo17bo3b2o7b2o3bo54bo4bo4bo19bobo2bobo2bobo\$30b2o3b2o88b2o13b2o15b2o4bobo4b2o\$31b5o20bo2bo9bo2bo52b2ob3o5b3ob2o15b2o4bobo4b2o\$32b3o29bo61bo2bo2b3o2bo2bo\$28b2o2bobo2b2o19b2o3b3o3b2o56bo11bo17b2ob2o5b2ob2o\$26b2obo7bob2o16bobo3b3o3bobo54bo3b2o3b2o3bo14b2o4bo5bo4b2o\$31b2ob2o20b2obo9bob2o54bo5bo5bo15b3o2b2ob3ob2o2b3o\$26b2o11b2o18b3o2bo2b3o59bobo3bobo18bobob2o2bo2b2obobo\$28bo9bo17b2o2b2o2bo2b2o2b2o58bo3bo20b2o3bo5bo3b2o\$25b2o2b2o5b2o2b2o15b2o2b7o2b2o56b2o2bobo2b2o22b7o\$24bo2b2o4bo4b2o2bo14b2o11b2o55bobo2bobo2bobo21bo5bo\$28bo3b3o3bo23b2ob2o61bo9bo22b3ob3o\$27b2o3b3o3b2o21bobobobo60b2o3bo3b2o18b3obo5bob3o\$25b2o13b2o17b2ob2ob2ob2o55b2o5bobo5b2o16b2o2b5o2b2o\$29b2ob3ob2o21b5ob5o55b6o5b6o15bobo2bo3bo2bobo\$29bo7bo20bobo7bobo54bob2o9b2obo15bo3bo5bo3bo\$27bo2bo5bo2bo18bo5bo5bo86bo2b2o5b2o2bo\$26bobobo5bobobo17b3o3bo3b3o55b2o3b2ob2o3b2o16bo13bo\$30b7o19bo4bo2bo2bo4bo54bob2obobob2obo18b2ob3ob3ob2o\$26bob4obob4obo14bo4bo7bo4bo52bo2bobo3bobo2bo15b2obob2o3b2obob2o\$25b2o3b2o3b2o3b2o14bo15bo53b2ob3o3b3ob2o14bobo13bobo\$25b3ob2o5b2ob3o17bo9bo59bobo3bobo17bo3b2o7b2o3bo\$26bobo9bobo16b3ob3ob3ob3o53bob3o3bo3b3obo\$25bo2bobobobobobo2bo16bobo2bobo2bobo53b2o2b2ob5ob2o2b2o13bo2bo9bo2bo\$25b2obobobobobobob2o15bo5bobo5bo32b3o7b3o10bobob5obobo24bo\$24bobobobo5bobobobo14b2obob2ob2obob2o55bob2o5b2obo18b2o3b3o3b2o\$25bo15bo20b2ob2o37bo2bo5bo2bo9bo2bo7bo2bo16bobo3b3o3bobo\$28b2o7b2o16b4o3bobobo3b4o30bo11bo15b3o21b2obo9bob2o\$55b2o5bo3bo5b2o8bo9bo12b2o7b2o16b3o7bo6bo9b3o2bo2b3o\$27b2o3b3o3b2o17b2o11b2o10bo9bo13bob2ob2obo17b3o6b3o5bo6b2o2b2o2bo2b2o2b2o\$27b2o9b2o17b2obob5obob2o9bobo7bobo9b2ob2obobob2ob2o23b3o4bobo6b2o2b7o2b2o\$25b2ob2o2bobo2b2ob2o17b3o2bo2b3o31b2obo2bobobobo2bob2o37b2o11b2o\$25b2obo3bobo3bob2o21bobo15bobo7bobo10bo2bobobobo2bo26b2obo15b2ob2o\$28bobo5bobo15b3o5bo3bo15b3o5b3o7bo3bobo2bobo2bobo3bo25bob2o11bobobobo\$25b2o13b2o5b3o13bobo15bo3b2ob2o3bo7b4obobo3bobob4o15b2o5bo3bobobo8b2ob2ob2ob2o\$28b11o9bo5bobo7bo14b3obo2bobo2bob3o9b2o2bobo2b2o15b2obo2bo4bo3bo2b3o7b5ob5o\$26b2o2bo5bo2b2o12bo25bobo2bobobobo2bobo9bo3bobo3bo6bo5bo2b2o2bobo8b2obo8bobo7bobo\$31b2ob2o14bobo10b3o12bo2bob2obobob2obo2bo23bobo13bo6b2ob2o10bo5bo5bo\$29b2o5b2o10b2obo2bo7bo3bo11b2obobo2bobo2bobob2o8bo4bo4bo8bo3bo4bo15bo8b3o3bo3b3o\$28bo9bo7bo2bob2o9bo3bo4b2o5b4obob2ob2obob4o9b2obobob2o5b2o11bo15b2obo3bo4bo2bo2bo4bo\$27bo4bobo4bo6bo4b2o9bo3bo3bo2bo5b2o2b4ob4o2b2o30bo6bo13b2o3bo2bo4bo7bo4bo\$27bobob5obobo8bo5bo8b3o4bo2b2o7b2o7b2o31bo23bo7bo15bo\$26b2obo7bob2o9b3o16bo2b2o13bo59bo3bo7bo9bo\$26b4o2b3o2b4o6b3o19b4o10bo3bo3bo56bo2bo5b3ob3ob3ob3o\$30bo5bo9b3o34bo3bo3bo56bo9bobo2bobo2bobo\$24b2o15b2o3bo2b2o99b2o5bo5bobo5bo\$49bo107b2obob2ob2obob2o\$26bob2obo3bob2obo8b2o99b2o10b2ob2o\$26bo3b3ob3o3bo8b2o100bo3b4o3bobobo3b4o\$29b2obobob2o8b3o106b2o5bo3bo5b2o8bo9bo\$26bo3bobobobo3bo110b2o4b2o11b2o10bo9bo\$26b2o2bo5bo2b2o116b2obob5obob2o9bobo7bobo\$28bo9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[[ TRACK 0 -1/4 AUTOSTART ]]`

dvgrn
Moderator

Posts: 5564
Joined: May 17th, 2009, 11:00 pm

### Re: Find c/4 rakes and puffers?

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.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Find c/4 rakes and puffers?

Ok, I'm definitely looking at outdated lists.
c(>^w^<c)~*
This is Fluffy the cat.
Fluffy wants to discover new things that everyone likes.
Fluffy likes to watch spaceship guns in Golly.
Fluffy knows Natsuki best girl.

Redstoneboi

Posts: 332
Joined: May 14th, 2018, 3:57 am