Steiner surface
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In geometry, the Steiner surfaces, discovered by Jakob Steiner, are certain self-intersecting embeddings (that is to say, immersions) of the real projective plane into three-dimensional space. More particularly, they are linear projections of a six-dimensional embedding called the Veronese surface, which is the image of an ordinary 2-sphere centered at the origin under the map
- f(x, y, z) = (x2, y2, z2, yz, xz, xy).
There are ten different types, including the Roman surface and cross-cap.
[edit] References
- Adam Coffman, Steiner Surfaces, (undated, 2005 or earlier)
