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Ellipsoid
x^2 + y^2 + z^2 = 1

Elliptic Cone
z^2 = x^2 + y^2

Elliptic Paraboloid
z = x^2 + y^2

Hyperbolic Paraboliod
z = x^2 - y^2

Hyperboloid of One Sheet
x^2 + y^2 - z^2 = 1

Hyperboloid of Two Sheets
-x^2 - y^2 + z^2 = 1