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Here are two different equation studies: Two series of somewhat pronouncedly
diverse images with given constants (when applicable)...

f(z) = z^3 + c
f(z) = (z^7 + 1)^(1/3) + c
c = .406775 + .227114 i
 c = .406 + .227 i
Mandelbrot set, no c
 Mandelbrot set, no c
Mandelbrot set; no c
c = .36 + .45 i
Mandelbrot set, no c
Mandelbrot set, no c
c = .2525 + .63 i
c = .2525 + .63 i
c = - .32 - .857 i
c = - .32 - .857 i