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Math Exploration - Four Color Theorem

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Hello everyone

I'm currently doing research for my SL exploration but I'm stuck. I'm not asking for topic suggestions, I understand that's my responsibility. I realized that I'm interested in "Four Color Theorem" but I don't quite know how I'm supposed to explore the problem here.

I don't think I can proove it! Even real mathematicians did that with the help of computers.

I know the topic very well, it's very simple. I just don't see how I can demonstrate my mathematics skills (my skillset isn't broad) without getting in over my head - if you know what I mean.

Is simply explaining the issue and showing what other people (ie - mathematicians) have done on it while reflecting on my own experience studying this topic enough? I mean like a presentation of things that exist already. I don't think I can come up with something new.

My teacher's being very helpful but somehow I'm not seeing how I should cover this.

Thank you very much!

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I was thinking of doing about this topic last year.
I suggest you should do some more research on different topics.
It is very important to be able to prove the theorem... Tricky topic indeed...

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Of what I've heard it took the mathematicians who solved it about 1000 cases in order to prove the theorem. Perhaps some other people have found a simpler way by know, but I still think it will require some high level stuff.

Then again, I don't know how the new exploration is supposed to be done. Just a warning.

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