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Steiner surfaceThe Steiner surfaces are self-intersecting embeddings 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.
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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Steiner surface".