n dimensional generalisation of the first quadrant in 2D or first octant in 3D

When normalized, the values \(\mu_0 \mu_1, ...\) act like a system of point masses (or weights) placed at \(A, B\), and \(C\) where \(P\) is their exact center of mass (barycenter) \(\rightarrow\) Color mixing

Properties: Colinearity (points on a line stay on the line), parallelity and the ratio of parallel lines.