Selecting a small picture will enlarge it.
These show the surface from different viewpoints.
Notice that the three segments of self-intersection (double points) are only partially visible. The six pinch points, which occur at the endpoints of the self-intersection segments, are visible.
The surface has been rotated 90 degrees forward (toward the camera) from the previous view. Half of each of the three segments of self-intersection are visible. Also visible is the triple point, which occurs where the three segments intersect. Three of the pinch points are visible.
The triple point and five of the pinch points are visible. Two of the segments of self-intersection are almost entirely visible, and half of the third segment is visible.
Color is assigned according to v parameter. This is the same view depicted in the first picture.
These show the surface sliced open. Color is assigned according to v parameter.
The triple point is visible through a "window" which was created by cutting away part of the surface. All six pinch points are visible.
The surface has been cut open above the triple point to reveal the structure of the double-point segments. They occur where two sheets of surface intersect. The piece on top is easily seen to be a The Roman Surface
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Created: Jun 27 1995 ---- Last modified: Fri Aug 11 00:59:07 1995
Copyright © 1995 by The Geometry Center, all rights reserved