$$x^2 +y^2 +z^2 +2x +1=0$$
This is an equation for dot if we are talking about surfaces, right? It is not an ellipsoid.
2026-04-02 22:07:17.1775167637
Question about determinig types of surfaces?
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Yes, it is the equation of a point: $$(x + 1)^2 + y^2 + z^2 = 0$$ has only one solution $(-1, 0, 0)$.
Is it an ellipsoid? That comes down to your definition of an ellipsoid. It's certainly an edge case. This definition of an Ellipsoid doesn't allow it.