Tetraview plots

Arguments as a function of the image

The above graphics of the real part and the imaginary part over the can be viewed as a projection of the surface in a four‐dimensional space with coordinates . This time, projections into other 3D hyperplanes are shown. The left picture shows as a function of and . The right picture shows as a function of and . Over the image plane, the real part and the imaginary part of the argument are single‐valued functions.

Tetraview animation

The above graphics of the real part and imaginary part over the can be viewed as a projection of the surface in a four‐dimensional space with coordinates . This tetraview animation shows projections from the rotating four‐dimensional hypersurface with . The right legend indicates the current orientation of the hypersurface in 4D. The coloring is according to the value of the fourth dimension.

Projective projections

Surfaces and (where and ) as ranges over the .

Surfaces and (where and ) as ranges over the .