where
P,Q,
R,
S
are polynomials of degree 2.
Rationalquartic surface.
Websites:
users.pfw.edu/CoffmanA/steinersurface.html
www-sop.inria.fr/galaad/surface/steiner/index.html
See also: C. Michel géométrie moderne p. 224.
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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.
Rationalquartic surface. Websites: users.pfw.edu/CoffmanA/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