Complex "Integrals" of Complex Exponential Planes

Not really integrals, but based off the "leftovers" and degree of each (x+yi) equation. According to whatever it is I'm doing, this should represent the original equation as it "rotates" through 4d space. It should represent the rotations when all are at 90 degrees. My reasoning is that the integral of cos(x)+isin(x)=sin(x)-icos(x), which is true for a simple complex number e^(ix). The only thing that should really change is "r" in r*e^(xi), and this is seen through the growth of the equation- the hyper-exponential growth. To see each successive integral, you need to zoom out exponentially farther than the last. The one pictured is zoomed out to about half a million.

 
 
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