In most practical applications color is a three-dimensional quantity, for example a red, green, blue triplet or an XYZ tristimulus value. With today’s fast graphics cards it is easy to visualize such data, for example to study gamut mapping. However, in color research color has often more dimensions, and then it becomes trickier to visualize the data.
For example, if you are modeling a printer, you may have to visualize a space with three CIELAB coordinates and four CMYK coordinates. If you also have to take into account geometric appearance, you have to add gloss and granularity for a nine-dimensional space. When metamerism or fluorescence is also an issue, you may even have to go spectral.