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STEINER SURFACE


Surfaces named by Karl Weierstrass in honor of Steiner.
Jakob Steiner (1796 - 1863): Swiss mathematician.
Cartesian parametrization:where P,Q, R, S are polynomials of degree 2.
Rational quartic surface.
Websites:
http://www.ipfw.edu/....coffman/steinersurface.html
www-sop.inria.fr/galaad/surface/steiner/index.html
See also: C. Michel géométrie moderne p. 224.

 The Steiner surfaces are the projections in  (i.e. the images by a projective map) of the Veronese surface of .

Examples: the Roman surface (of Steiner ): , the cross-cap.
 
 
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© Robert FERRÉOL 2017