Saddle

Plot of a saddle surface.

$f(u, v) = (x, y, z)^T$ with

where $a$ and $b$ are scaling factors, $-5 \le u \le 5$, and $-5 \le v \le 5$.

The squares $u^2$ and $v^2$ for $z$ lead to the unit 1/metre for $a$ and $b$.

Setting $a$ and $b$ to the parameter of the paraboloid gives the same surface, but parameterized differently.

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