of the main features of the Cayley surface.
|Cayley surface links:
There are 9 lines on the Cayley surface. All of these lines are shown in this figure. Six of them join pairs of nodes. Thus, we can view the nodes as vertices of a tetrahedron, and these six lines are the edges of the tetrahedron. The other three lines lie in the trigangent plane, which is discussed on the duality page.
The Cayley surface is the dual variety of the Steiner surface. This means that the points of the Cayley surface correspond bijectively to the tangent planes of the Steiner surface (except that the correspondence is not bijective along finitely many subvarieties).
For a discussion of specific features of the duality correspondence, please click on the Duality link at the left.
The Java files used in this page were downloaded from the
Geometry Center webpage.
I generated the geometric data for this figure in March 2009.
Updates completed on August 16, 2010.
Prof. Joel Roberts
School of Mathematics
University of Minnesota
Minneapolis, MN 55455
Office: 531 Vincent Hall
Phone: (612) 625-9135
Dept. FAX: (612) 626-2017
e-mail: firstname.lastname@example.org TT>