Implicit Surface: -z² + x² + y² + p = 0

A deformation of the cone, via a parameter p

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This page shows the surface defined implicitly by the equation:

-z² + x² + y² + p = 0

Rearranging gives z = ±√(x² + y² + p), producing two sheets of the surface. Use the slider below to adjust p and see how the geometry changes.

Interactive Surface