Examples
of changing 3-dimensional basis sets:
Color space: RGB CMY
Geometrical Space:
Cartesian
Coordinates (x,y,z,) into Spherical (Polar) Coordinates (r, q, f)
Chemical “Space”: Atomic
orbitals and molecular orbitals
Conversion
between the two primary color systems,
Red-Green-Blue
and Cyan-Magenta-Yellow
illustrates
the mathematical concept of equivalent basis sets
and
their interconversion