Visualization of Complex Functions: the Circle-Hyperbola Y = 1 / X

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For Y = y1 + i y2 and X = x1 + i x2, the function Y = Y(X) is a 4D surface in space (X,Y) ~ (x1, x2, y1, y2). Let us project this "simply" unto our 2D screen ...
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The beauty this geometry holds should be seen by all. Thank You

DMovie
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Sweet.
Now then, a couple more doublings, and, hmm, where's my 3D monitor?

TheDavidlloydjones