# Tetraviews of Elementary Functions

Tetraviews of Elementary Functions

The natural living space of a function with being a complex variable is the two-dimensional complex space with coordinates or the four-dimensional real space with coordinates . This Demonstration shows three-dimensional projections from the four-dimensional space. By carrying out rotations in the four-dimensional space, different views of the function can be obtained (including views of the inverse function (z)).

zf(z)

z

{z,f(z)}

{x=Re(z),y=Im(z),u=Re(f(z)),v=Im(f(z))}

f(z)

-1

f