The Four Color Map Theorem

[Anonymous No.8814038]

https://www.youtube.com/watch?v=NgbK43jB4rQ
what

[Anonymous No.8814039]

>>8814038
how much do you get paid to shill for n*mberphiles?

[Anonymous No.8814064]

>>8814038
I can colour that map in four or less colours.

[Prof Sai No.8814066]

>>8814039

Four Colors.

[Anonymous No.8814074]

>>8814038
Replace blue with red and you good boyo

[Anonymous No.8814109]

>>8814038
Why does James look like 10 years older in still images than in videos?

[Anonymous No.8814113]

>>8814038
dumbass

[Anonymous No.8814133]

Is the proof of the four color theorem even useful? It doesn't generalize graph coloring optimization, it only tells you the limit of the chromatic number for planar graphs is 4.

[Anonymous No.8814282]

>>8814066

[Anonymous No.8814286]

>>8814282
just swap yellow and red in the middle and you can color the grey part yellow

[Anonymous No.8814288]

>>8814282

[Anonymous No.8814300]

>>8814288
what now punk

[Anonymous No.8814312]

>>8814300
nice thumbnail
2nd ring:
green to yellow,
red to green
3rd ring:
yellow to red
red to green
green to yellow

[Miniature Spacecraft No.8814317]

>>8814039

[Anonymous No.8814320]

>>8814312
Or: circle in the middle: red to green, swap with yellow.

[Anonymous No.8814329]

why am i so bad at solving these. i can't see a solution to this one.

[Anonymous No.8814331]

>>8814329
really nigga

[Anonymous No.8814332]

nvm, re-solving from scratch is easier

[Anonymous No.8815820]

Faggots, all of you.

[Anonymous No.8815829]

>>8815820
Shieeet you can take it down to 5. But point is you can't take it down to 4.

[Anonymous No.8815854]

>>8814113
they're all supposed to be different countries.

[Anonymous No.8815884]

In order to have 5 colors you have to have 5 shapes that touch all other 4 shapes. Start with an image that has all 4 shapes touching all other shapes. Then add a 5th shape to that image which does not block any other shape from another shape, yet touches all 4 other shapes. You don't even need colors for this.

>>8815820
>planar

[Anonymous No.8815892]

>>8815884
So what. If we find one of those mystical torodial planets popsci faggots keep talking about then we wont be able to colour the map.

[Anonymous No.8815898]

>>8815892
>planar

[Anonymous No.8815903]

>>8815898
>torodial

[Anonymous No.8815917]

>>8815892
That's basically like folding the paper to solve this puzzle.

[Anonymous No.8815956]

>>8815917

[Anonymous No.8815961]

>>8815884

[Anonymous No.8815970]

Why can't all math be as fun as four color theorem?

[Anonymous No.8815974]

>>8815956
can be done in three

[Anonymous No.8815982]

>>8815970
it isn't fun

[Anonymous No.8815989]

>>8815970
The four color theorem is decidedly UNFUN because of how shitty the proof is.

Also, coloring connected dots is graph theory.

[Anonymous No.8815990]

>>8815956
lol That's not the color puzzle. You are supposed to draw a continuous line through all the walls without going through a wall twice and without crossing your own line. Kids usually fold the paper to do it, which is against the rules.

>>8815961
You don't color that one. You add a 5th shape to it that touches the 4 other shapes while allowing all other shapes to touch each other too.

>>8815970
It isn't math. You can use math, but there's no point, just do >>8815884 and you'll understand why.

[Anonymous No.8815999]

>>8815961
You forgot to color a shape, but that isn't the point of that puzzle.

[Anonymous No.8816017]

>>8815820

[Anonymous No.8816018]

>>8814038
u got this from cmpt 140 didnt you

[Anonymous No.8816024]

>>8815854
Underrated post