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Why is it when I draw a closed line shape I can always colour in one section and interchange colours with sections next to eachother so no two sections meet with the same colour?

Asked by mathsphysicsnormally (324points) January 19th, 2011

As shown in my first image
http://img27.imageshack.us/img27/8059/shapesn.jpg
Is a closed line shape, no matter what I do I can’t get it so no matter what you do you would have to have two sections next to each other with the same colour when interchanging colour.

Image two http://img5.imageshack.us/img5/4039/shape1i.jpg
In this image no matter what you do you will have two sections with the same colour next to each other.

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