When imagining color charged objects, I know we can treat color and anti-color much like electromagnetism. What I'm having trouble with is imagining the interaction of similarly coloured objects. Now I know red green and blue are just convenient labels and by definition of gauge symmetry, aren't different from on another in any way physically. But once we have a basis, how should I think about these 3 independant color charges behaving with eachother?
Lastly, are there any good ways to think about the charge of gluons? They have a color charge behaving differently from quarks or anti-quarks (color and anti-color) so is there anyway to think about this object in analogy to other familiar things?
For what it's worth, I have the mathematical background to do the math, but building intuition is much harder.