Robert Hocking and Chen Greif
Complex numbers are visualized using a color wheel centred on z=1,
as the in the figure below, where the phase of
z-1
is encoded in the
hue of the color and the magnitude of z-1 is encoded in its brightness. We do this because the complex parameters considered in the paper lie in the disk centered at z=1 with radius 1.
The point z=1
is mapped to black, real numbers greater than 1 are coloured cyan, while
real numbers smaller than 1 are coloured red. Denoting i :=sqrt(-1), we have +i colored magenta while -i is colored orange.