Never tried it with a colour, though I've gone through it in theory often enough because of trying to figure out the relationship between experience and the raw data.
I mean, I could trivially construct a computer that can interpret 6 colours.
as in primary colours. We have 3 colour receptors, which pretty much define what the primary colours are, but that doesn't really make much sense of what results when you mix them together - Interestingly though, most of those mixtures are visible looking at distinct frequencies of light between any two primaries.
Purple is the odd one out, since, using colour mixing, purple is created by mixing red and blue, yet using pure light it results from colours beyond blue on the spectrum.
A mathematical example of computers using more than 3 colours is found with printers, most of which are CMYK...
But that doesn't really answer anything.
Another, slightly easier trick is trying to visualise multidimensional shapes.
Hypercubes in particular aren't that difficult to imagine, as long as you don't get into extremes. 4d hypercubes are easy, but a 6d cube is already very complex.
But... I think that works because what you're visualising is a set of projections of a 4d object.
That's less of a problem to deal with because we routinely deal with projections.
We don't actually see in 3d, we see in 3d reconstructed from 2 independent two-dimensional projections of a 3d space.
You can mentally project a 4d object into a 3d space, then project that 3d projection into 2d, and suddenly you can visualise at least something about a 4d object.
But... With colours, those kind of manipulations don't seem like they work very well.