how to make parametric equation of cube

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this is my hyperbolic equation

$y = x^2$

then convert to paramteric equation, like this:

$x = u$

$y = u^2$

so i insert the equation into x and y Axis Generator

x: u
y: u
z: 0

the output is: 2D hyperbolic object

when i insert v parameter into z Axis

the output is: 3D hyperbolic object

my question is how to make 3D cube using parametric equation and how to insert it into the Generator.

any help thank youu :-) I LOVE YOU

another exemple:

x: cos(u)
y: sin(u)
z: v

the output is: pipe

where:

u minimal: 0
u maximal: 6.28

v minimal: 0
v maximal: 1
1

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The equation of a solid cube of side-length $a\in\Bbb R^+$ centred at the origin would be:

$|x|\le a/2\\|y|\le a/2\\|z|\le a/2$

Parameterize it as:

$x=u, |u|\le a/2\\y=v, |v|\le a/2\\z=w, |w|\le a/2$