## The Steiner surface

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The figure above shows the Steiner surface.
This surface is a real model of the generic projection (to 3-space)

of the Veronese surface. The singular locus is the union of the
coordinate axes, but the projection of the set

of real points includes only a finite portion of each axis.
There is a triple point at the origin. In the figure,

this is where the red, green, and yellow regions meet. There are
6 pinch points. In the figure, they are

at the narrowest parts of the dark blue regions. The rest
of the singular points are ordinary double points:

two sheets of the surface cross transversally at such a point.

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*I made this page by substituting my own data in a *Geometry Center *webpage.*

Prof. Joel Roberts

School of Mathematics

University of Minnesota

Minneapolis, MN 55455

USA

Office: 351 Vincent Hall

Phone: (612) 625-1076

Dept. FAX: (612) 626-2017

e-mail: `roberts@math.umn.edu
`

`http://www.math.umn.edu/~roberts`