Science Fair Project Encyclopedia
Steiner surface
In geometry, the Steiner surfaces 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.
They are named after Jakob Steiner, who discovered them.
Last updated: 08-22-2005 19:54:49
10-26-2009 08:16:03
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details
The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details