/sci/ - Science & Math

Did I do something wrong?

>>9376897
green->blue
purple->green

>>9376897
Actually, there is something wrong. I am not sure its possible to do this map with less than six colors.

>>9376902
Turning Green blue breaks the rule of "two adjacent colors being the same."

>>9376905
sure it does

>>9376905
Brainlet detected

>>9376897
>>9376903
>>9376905
This isn't even good bait like posting a clever but wrong disproof. This is just like that merely pretending to be retarded meme

>>9376909
I see now. You meant that you didn't want the same colors to be touching each other. Is this any better?

>>9376926
the theorem doesn't include single point adjacency
but keep trying brainlet

>>9376934
it does
>>9376926
yellow-> blue
top blue->green
right blue->red

>>9376937
If you change yellow to blue, then that brainlet would tell you that it's touching the other blue. That's why I said that single point adjacency isn't considered as being contiguous.

>>9376937
I think I get it now. This one has me stumped.

>>9376948
sorry you're right

>>9376950
gun->your face

>>9376957
No need to bully. Here is the real answer.

>>9376973
The trolls got quiet after I figured it out.

>>9376973
were you aware that it was proven in 1976 that you can colour any planar map with only four colours?

>>9377115
There are always exceptions. Like this.

>>9377359
>there are always exceptions
i don't think you understand what "it was proven" means
it means there are no exceptions

also if you wanna keep playing this game please use use paint xp and not the newer versions of paint because the antialiasing leaves unsightly residues when you use the paint bucket

Where's my bitcoin

>>9377549
that must be the most painful picture i've seen

gimme my bitcoin

>>9377549
hold your fucking horses you 3colour cocksucker

>>9376881
You can't disprove a theorem.

>>9376881

>>9377601
where my bitcoin lad im waiting

14EPoHX9iD5oGyomXobnWZ9Qwg2dLCUwyu

>>9377629

>>9377659

fucking kek
I'm gonna collage this thread when I get the chance

>>9377608
lmao

gib me money

>>9377708
this is better

>>9377721
do you really think you're going to succeed? i'm all for having fun but these aren't even difficult

Nah, a bit coin isn't that mu.. never mind let me do... never mind again

>>9377601
>1 click

>>9377626
You can, but what you would really be proving is that the axioms it's based on are inconsistent.

*thinking*

>>9377819
Although going out of the plane should let you create something that requires more than 4 colors to fill in, there's no reason for those pink & yellow segments to be different colors.

>>9377826
:thinking harder:

1LQUP8QF6xmWdQpS7dsDKKCKgP5JFxG4XJ

>>9377859
ah fuck me i knew bitcoin was a scam. This shit just generated a second address for me out of nowhere.

fuck i probably wont get the money.

you guys are fucking pathetic
1Ep2DVF69ge453HdWgmskr8DGUc6gPLTB8

>>9377859

>>9377517
It means that someone just hasnt discovered the exception yet.

>>9376881
>you should be able to do this

>>9376881
Go ahead faggot, change my shoes or hair, I dare you
p.s. i just fucked your bitch
1Fka78K5NywfnVyLHW5KpDYh1vyonuBLSC

>>9377907
poorfag, better payoff your wannacry ransom
3D2oetdNuZUqQHPJmcMDDHYoqkyNVsFk9r

Does this count?

>>9377961
Bah, nvm, I retard

>>9377961

Trying to disprove this theorem is as autistic as trying to solve the 3 utilities problem.

>>9377682
its just the five sectors in the rectangle

>>9377682
>>9377999
updated pic for the fucking troll

>>9378015
Make color 1 and 4 the same

>>9377913
>implying
some dumb ass niggers out there paying wannacry off

how do i make a bitcoin wallet to collect my reward

Does this work?

Does this work?

2 of the 4 colors have been placed for you.

>>9378133
Shit, I posted the wrong one.....

>>9378134
>>9378133
Here's the correct one.

>>9378137

>>9378132
nice snail

god damn it you bunch of brainlets

https://en.wikipedia.org/wiki/Four_color_theorem

>>9378125
actually i was able to solve this so try this one instead.

>>9378174
heh thanks. I know its goofy but I think it might actually work. That or im a brainlet nigger. Both are likely options.

>>9376881
Add some regions going around it and its not 4-colorable.

>>9376881

>>9378191
solved that one too so nm how about this

I win.

btc:
1B3gyJ33uGag2UMx1pcbmKBKYgb7PFQPbw

>>9378238

>>9378247

>>9377907
unironically the solution
while the virgin mathematicians grind out autistic tesselations that still aren't the solution, Chad simply refuses to let you touch his hair and boots.
QE motherfucking D (in your oneitis)

>>9378508
I tried for my next one though.
I think i actually made one that requires 5 colors. Gonna try to solve it a few more times before I post.

>>9376881

>>9377832
Pretty sure this guy just got a bitcoin

>>9378015
>>9378055
or 1 and 3
or 2 and 4

>>9378566
Planar, my nigger

>>9378566
how is that a plane last time I checked a plane was 2 dimensions

>>9376881
>map has 5 colors
bitcoin now

>>9378313
winrer

>If you can disprove 4 color theorem in Paint
>all false disproves

Kill yourselves

>>9378984

All, that is, except for the last posting in this thread, as of this post.

>>9377875
This can be colored in with 4 colors but no one is assed enough to do it faggot. The theorem is proven.

>>9376881
Where's my bitcoin?

>>9379163

>>9379191

>>9376897
>dividing line between a region and itself
Yeah, because as I'm sure we all know, a state can border itself. That totally isn't the opposite of how a map works.

The absolute state of fucking /sci/. Those humour threads have ruined this board by bringing in redditors and /pol/fags who think they're geniuses.

>>9376897

>>9377731
>green, yellow, blue, red, white
Five colors.

>>9377894
done

>>9379238
Doesn't matter, the outside can be any color expect red.

>>9379191
>he doesn't know what "planar" means

?????????????? did i did it?

>>9379548
naw

>>9379567
U got 2 reds there

>>9379567
oops ignore, this is correct

>>9379575
dangit

if you can disprove 2+2=4 i'll give you a million billion memecoins

>>9379548

>>9379548
Even better version

>>9378815
2 colors

>>9378551
self-referencing is not allowed.

>>9379598
2 + 2 = 1 modulo 3

>>9380299
So, do you hope you win a million billion memecoins modulo 3?

Ive never heard of this theorem before so I tried to approach it in a different way that i thought was easier for me, and that was by connecting lines with dots.

So basically i figured to disprove the theorem, 5 colors are needed obviously, so i put five dots.

Next, because we use five colors, each color must "touch" or be adjacent to each of the 4 other colors at least once in a plane to disprove the theorem. (if a color didnt touch each 4 other colors at least once, then 5 colors are not needed, proving the theorem)--> this "touching" can be represented by connecting lines to each dots. Each dot has to be connected to 4 other dots, but the lines cannot cross.

Obviously after trying for some time i found connecting five dots without intersecting lines is impossible, and so i figured the color theorem has to be true. I dont know the math behind why, but it is.

Just thought this was an interesting take on it, and if ya do google search you can see more lines and dots but still with 4 colors.

TL;DR still dont know why its true, but its true

>>9380831
4 color theorem doesn't apply to anything where you have already colored in some of the regions, otherwise it's trivial to disprove.

>>9380854
no im not saying that the points make a plane to be colored in. What im getting at is that these points are a way of representing the theorem in another way

>>9380831
you're breaking contiguity by approaching it that way
look at how you have three or more edges coming into each point, if you drew it as a proper planar map those areas would be point adjacent and therefore not contiguous and you would be able to color it with 4 colors
trying to disprove this theorem is like trying to disprove that 2+2=4

>>9380831
Change red dot to orange

am i limited to 2d space?

>>9378549
Do you not know what a theorem is?

>>9377884
It was proven exhaustively with computer assistance. There are no exceptions. All planar graphs are 4 colorable.

>>9377549
Is that another hope solo pic?

>>9381023
>LOOK AT MY THEOREM
Fucking lol. Eyes dont understand words ya brainlets.

>>9377702
Hi rëddir

>>9381047

yes. This isn't an autism test.

>>9376881

All molecules that make up color are the same.
Therefore, there is only one color. What that color is, depends on the viewer. So neither the observable understanding, nor the answer is incorrect.

>>9377549
As far as I got before losing interest, hopefully >>9377608 will finish his

>>9381023
my point exactly tho what im showing is trying to disprove the theorem in another way, and because this other way is impossible, the theorem will always be true, like 2+2=4.
>>9381038
five different colors because at least 5 colors are needed to disprove the theorem, which as shown is impossible.

>>9381154
?

>>9376897
what kind of country borders itself?

>>9382968
and you have to color the surrounding polygon green

>>9377884
>Theorem
>It means that someone just hasnt discovered the exception yet.

>>9380289

That is untrue, per the original pharasing of the problem. Consequently my counterexample holds good.

What you mean to refer to is the smaller, qualified case of "nuh-uh but etc etc", in which case my counterexample can only then be rejected.

>>9382968
I am a color brainlet so i keep trying but I'm mostly doing it for the fun designs its forcing me to try to figure out. I end up creating one where the solution takes more than a couple minutes to figure and then i get really excited and post it, followed almost immediately by then finding the solution. I'm a puzzle master at best. Goddamn its so easy to manipulate a single color and force it to be used though so it just seems like something on the tip of your tongue that it'd be easy to force a situation where a 5th color would be needed.

non-bait question, what is the number of color needed for n-dimension ? Is there a formula ?

okay gimme coin

>>9383948
nm ok coins now

>>9383971

>mfw /sci/: Coloring Books

>>9384482
>rocketry stain glass window

I can dig it.

>>9380831
make the orange and red dot the same color
And yes. You are essentially looking at the graph representation of the same problem. It's related to the fact that you can't connect the orange and red without intersecting another line.