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2. Quadric - Wikipedia

   en.wikipedia.org/wiki/Quadric

   In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas).It is a hypersurface (of dimension D) in a (D + 1)-dimensional space, and it is defined as the zero set of an irreducible polynomial of degree two in D + 1 variables; for example, D = 1 in the case of conic sections.

3. Quadric (algebraic geometry) - Wikipedia

   en.wikipedia.org/wiki/Quadric_(algebraic_geometry)

   The two families of lines on a smooth (split) quadric surface. In mathematics, a quadric or quadric hypersurface is the subspace of N-dimensional space defined by a polynomial equation of degree 2 over a field. Quadrics are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine ...

4. List of surfaces - Wikipedia

   en.wikipedia.org/wiki/List_of_surfaces

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5. Quadric geometric algebra - Wikipedia

   en.wikipedia.org/wiki/Quadric_geometric_algebra

   Attempting to rotate a QGA quadric surface may result in a different type of quadric surface, or a quadric surface that is rotated and distorted in an unexpected way. Attempting to rotate a QGA point may produce a value that projects as the expected rotated vector, but the produced value is generally not a correct embedding of the rotated vector.

6. Surface (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Surface_(mathematics)

   A sphere is the surface of a solid ball, here having radius r. In mathematics, a surface is a mathematical model of the common concept of a surface.It is a generalization of a plane, but, unlike a plane, it may be curved; this is analogous to a curve generalizing a straight line.

7. Hyperboloid - Wikipedia

   en.wikipedia.org/wiki/Hyperboloid

   A hyperboloid is a quadric surface, that is, a surface defined as the zero set of a polynomial of degree two in three variables. Among quadric surfaces, a hyperboloid is characterized by not being a cone or a cylinder, having a center of symmetry, and intersecting many planes into hyperbolas.