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Veronese Surface

A smooth 2-D surface given by embedding the Projective Plane into projective 5-space by the homogeneous parametric equations


The surface can be projected smoothly into 4-space, but all 3-D projections have singularities (Coffman). The projections of these surfaces in 3-D are called Steiner Surfaces. The Volume of the Veronese surface is $2\pi^2$.

See also Steiner Surface


Coffman, A. ``Steiner Surfaces.''

© 1996-9 Eric W. Weisstein