Complex visualization: Euler’s Identity

This is just a quick way to practice your ability to visualize in 3D, Euler’s Formula, which relates e^(ix) to the featured image, where basically the unit circle of trigonometric functions becomes a helix as the input into the function itself is mapped so f(x,y) as function of z, and we see how as we increase the Greek argument into the function, what e^(ix) is equal to remains fixed on the unit circle but may be quite popped off the page if we have entered in a high real number for the radian input. The goal of this exercise is to show you the difference between a spiral and a unit circle, and that is a spiral maps the input as well, as a coordinate, and as thus, if you really are in a downward spiral there probably is no way for you to get out except by reversing the input argument, so you must recover in a spiral too.


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