4 Color Theorem - What am I not seeing??

Let me say first that I am in no way a mathematician. Just slightly interested in mathematics. I think I may have found an exception to the 4 color theorem. I don't claim to be smarter than those who proved the theorem, and I'll assume I'm wrong. What am I missing here? (forgive my quickly drawn graph!)

(I created this account just to ask this question, so the website made me embed the image instead of just adding it straight to the question.)

I may be missing some fundamental rule in setting up my problem. But I think my map fits the desired intent of the "map" motif of the theorems original question.

Solution 1:

Here is your map colored with only four colours.

Solution 2:

I've put numbers instead of colours (I left yours because whatever).

Solution 3:

I don't think that you looked at it for long enough. By the way, you will not fault the theorem, it is proven.