The Four Color Map Theorem

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

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

>>8814039

Four Colors.

>>8814038
Replace blue with red and you good boyo

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

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>>8814038
dumbass

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.

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>>8814066

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

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>>8814282

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>>8814288
what now punk

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

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>>8814039

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

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>>8814329
really nigga

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nvm, re-solving from scratch is easier

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Faggots, all of you.

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

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

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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

>>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.

>>8815892
>planar

>>8815898
>torodial

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

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>>8815917

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>>8815884

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

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>>8815956
can be done in three

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>>8815970
it isn't fun

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

Also, coloring connected dots is graph theory.

>>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.

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

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>>8815820

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>>8814038
u got this from cmpt 140 didnt you

>>8815854
Underrated post