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Colours correspond to infinite-dimensional vectors, since there are infinitely many wavelengths of light. But humans can only perceive a three-dimensional projection of colour (red, green, & blue). What's interesting is that it's *not* an orthogonal projection. Here's a plot of the basis vectors.

The 3 color basis vectors are the 3 types of cone cells in the retina The fact that they aren't orthogonal (& you can't have negative light) leads to pop science articles like this. I.e. stimulating individual cone cells lets you perceive colors that don't correspond to any mixture of wavelengths.

bbc.comScientists claim to have discovered 'new colour' no one has seen before"Olo" is said to be a saturated blue-green - but some say the existence of a new colour is "open to argument".

There are also rod cells in your retina. In principle these give you a 4th dimension for perceiving colour. But they are for peripheral & night vision, so we don't perceive a 4th color dimension. 🤷

The reason I got interested in this is that I didn't understand why red plus blue makes violet/purple. Violet corresponds to the shortest visible wavelengths -- shorter than both blue and red. The explanation is that the S/red cone cells are also activated by short wavelengths for some reason.

Colours correspond to infinite-dimensional vectors, since there are infinitely many wavelengths of light. But humans can only perceive a three-dimensional projection of colour (red, green, & blue). What's interesting is that it's *not* an orthogonal projection. Here's a plot of the basis vectors.

I also find it interesting that, when kids are learning about primary colours in school, it's presented as some fundamental truth about the wider universe and not merely a quirk about how our eyes work.

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