.Mechanic Fifth
The fifth degree components are the "outer" root curves, (top pair), of a quintic function.

The function itself, seen in silhouette as a vertical line, passes "behind" the curtain,

(though it would intersect given time); it is not a part of "Aphrodite's Curves".
A second view, above, hilites the right-hand outer root curve as it becomes a thread of the curtain.

The lower, or "inner", root curves pass within;

and so they also, with the "real" quintic, whose shape begins to appear above, are not "of Aphrodite."
A profile view, (real plane with an imaginary silhouette),

gives a good idea of the places these curves are taking. .To recap:

The "real" fifth, which cuts across the grain of its roots, passes outside the curtain.

The "inner", my term, root curves, (left), pass inside the curtain and the "outer", (right), fall upon it.

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One more view, below, with the curtain less transparent.

At this point, I believe I can say, "Aphrodite's Curves" is made up of:

A first degree function, (viewable through link 1), which needs no roots;

the, (parabolic), roots of a second degree function, (viewable through link 2);

the "compound", (my term), roots of a third degree function, (3, see also, Nefertiti's Curves);

the "independent" roots of a fourth degree function (see 4), the "outer" roots of a fifth, (this page);

and go on to include the "outer independent" roots of a sixth, the "farthest outer" roots of a seventh, etc.

(Not to mention fractional exponents, whose transitions would be fiendishly complicated to map.)

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By using the words "outer" and "inner", I'm putting aside that math is ambidexterous --

the whole system could probably be set up in reverse by using different signs in the functions.

This recognized, it's still useful to have a frame of reference -- the fold, roughly between 0 and -x.

When there's more than one pair of root functions to choose from, as there are above;

those closer to the fold are called "inner" roots, and those farther from the fold, "outer".

Aphrodite's Curves seems to be a curtain of all those root curves that one would call "outer".

(I didn't know, at the time, I had instructed the program to do that.)

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Before leaving the quintic, lets take another look at the first figure, repeated below.

The roots take an esoteric shape, but as we saw in Nefertiti's Curves and the Mechanic Third,

there is the possibility for hyperbolas, or hyperbola analogs, if the functions are seen from the right angle.

My guess is that here, from this angle, are some "non-rectangular" hyperbolas.

Rectangular ones come in matched pairs along a center line.

These seem to trade that for a center curve.