Tetrahedral Teletubby Colour Space

It's possible that teletubbies are the answer to everything. Whereas that may not be completely true, I feel nonetheless that they can be used to describe colours, thus:

Imagine a regular tetrahedron. At each vertex stands a teletubby. In terms of RGB values, their colours are roughly as follows:

Tinky-Winky: 301360;

Dipsy: A00E26;

La-La: 9BC14B;

And last, but not least, Po: FFC10F.

Clearly the colours represented by the teletubbies themselves are easy to define. Each one is completely one of them and zero any of the three others. There is also a theoretical central teletubby who is zero percent like any of the others in colour. In fact this mysterious central individual fascinates me. What shape is their aerial? Are they average in height? What is their name? I estimate that the central teletubby is a kind of aqua colour - 9AE8F8 in terms of RGB hex triplets.

Other colours are described in terms of the four teletubby axes, which are line segments drawn from the mysterious fifth central teletubby who must exist if teletubby colour theory can work at all, to each of Tinky-Winky, Dipsy, La-La and Po. The coordinates are defined in terms of the distance along those lines as a real number between zero and one.

It occurs to me now that there is also a 4-D simplex polytope vertex teletubby ana to the four three- dimensional teletubbies, and I'm not sure whether this teletubby is in fact the same as the central teletubby or not. I kind of envisage a supersaturated version of the central one, but maybe not.

Like other colour spaces, not all colours can be adequately represented by this space. Firstly, all colours are strongly saturated. There are no baby blues or pale pinks, no whites, browns, blacks or greys in this tetrahedron. Secondly, primary additive colours cannot be represented although Po is, surprisingly, the reddest. Thirdly, blues are rather deficient and reds over-represented.