## 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 .

Coffman, A. Steiner Surfaces.'' http://www.ipfw.edu/math/Coffman/steinersurface.html.