Steiner Surfaces

Representations of the real projective plane are called Steiner surfaces. A classification based on real parameters and transformations results in 10 types [1, 2].

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References
[1] A. Coffman, A. J. Schwartz, and C. Stanton, "The Algebra and Geometry of Steiner and Other Quadratically Parametrizable Surfaces," Computer Aided Geometric Design, 13, 1996 pp. 257–286.
[2] A. Coffman. "Steiner Surfaces." (Sept 17, 2013) www.ipfw.edu/departments/coas/depts/math/coffman/steinersurface.html.
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