The visual appearance of the
graph of the
function
e^(ix). If x describes the distance along the corkscrew, the output will wrap around and around, much like a corkscrew. If you want to reverse the
chirality of the corkscrew, all you have to do is flip one of the dimensions (as you always do to flip chirality), such as by taking the function e^(-ix).
If one projects either of these onto the reals, the result is cos(x) == cos(-x). If one projects either of them onto the imaginaries, one will get sin(x) or sin(-x) == -sin(x) depending on the sign you used. This function and its relatives are widely used in physics and electronics.