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Have you ever heard of the 4 color map theorem?
Posted on 11/18/18 at 5:48 pm
Posted on 11/18/18 at 5:48 pm
The new US map thread reminded me of this. The idea is that if given a map, say the US for example, you can always color the map with 4 colors so that no two states with the same color will border each other. It doesn't matter what the map looks like.
Consider this my interesting fact of the day
Consider this my interesting fact of the day
7
Posted on 11/18/18 at 5:49 pm to TheIndulger
Pics?
Posted on 11/18/18 at 5:51 pm to TheIndulger
quote:
Consider this my interesting fact of the day
K
Posted on 11/18/18 at 5:54 pm to TheIndulger
quote:
The idea is that if given a map, say the US for example, you can always color the map with 4 colors so that no two states with the same color will border each other. It doesn't matter what the map looks like.
Here’s my imaginary map with square states that prove you wrong baw
This post was edited on 11/18/18 at 5:55 pm
Posted on 11/18/18 at 5:57 pm to beerJeep
That doesn’t prove him wrong. You can color that big square in the lower right orange instead of purple
Posted on 11/18/18 at 5:59 pm to LordSaintly
frick me. I read Question all wrong 
weed is bad mmmkay
weed is bad mmmkay 
Posted on 11/18/18 at 6:14 pm to TheIndulger
Posted on 11/18/18 at 6:25 pm to ddbnsb
Could you pull it off with just 3 colors, if not for the Four Corners area?
Posted on 11/18/18 at 6:27 pm to East Coast Band
New England maybe?
Posted on 11/18/18 at 6:28 pm to TheIndulger
quote:
Have you ever heard of the 4 color map theorem?
Yes, in 1st grade and I've spent a better than 40 years trying to disprove it.
Posted on 11/18/18 at 6:39 pm to ddbnsb
quote:
by ddbnsb
That map is a fail, there is a red state 's border touching a red statw
Posted on 11/18/18 at 6:43 pm to TheIndulger
It was proved a few years ago. A lot of people didn't like the proof because it involved enumerating cases with a computer - it was kind of ugly, and mathematicians like elegant.
ETA: damn. 'a few years' translates to 1976. frick, I'm old.
ETA: damn. 'a few years' translates to 1976. frick, I'm old.
Posted on 11/18/18 at 6:54 pm to tokenBoiler
There was a Math class (junior level in college) for which that was an extra credit question. I had two friends who raged about not knowing where to start.
Posted on 11/18/18 at 7:01 pm to TheIndulger
WGAF
Posted on 11/18/18 at 7:04 pm to ddbnsb
Tennessee being bordered by 9 states makes it tough
Posted on 11/18/18 at 7:11 pm to Cdawg
Posted on 11/18/18 at 7:15 pm to IceTiger
quote:
That map is a fail, there is a red state 's border touching a red statw
Posted on 11/18/18 at 7:15 pm to Paige
Ok somebody explain this to me like im 5. Im confused here
Posted on 11/18/18 at 7:25 pm to ddbnsb
What if there was a state that was a square at the location of the Four Corners. What color would it be in order to not be touching another state that was the same color as itself?
Posted on 11/18/18 at 7:25 pm to tokenBoiler
quote:
ETA: damn. 'a few years' translates to 1976. frick, I'm old
Nah, the computer proof was nerd news within the last couple of decades for sure.
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