nested paraboloid-like surfaces(Level surfaces)

This animated visualization of a 3D scalar field, $\phi(x, y, z)=x^2+ y^2-z$, which shows how level surfaces-the set of all points where $\phi$ has a constant value-change and move in space as that constant value is continuously varied. This provides a dynamic view of a static mathematical concept, illustrating that a scalar field is not just a single surface but a continuum of nested surfaces, like the layers of an onion.

$\complement\cdots$Counselor

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