Some Movies Showing the New Surface:

Level Sets (movie, 60K)
 This movie shows the
level sets
for a model of the central real projective plane (minus two disks) of
the tight surface.

The initial triangle is a
minimum
and the final quadrilateral is a
maximum,
and there is a single
saddle
in between, at frame number 29. The required triplepoint is at frame
23.

These level sets closely resemble the ones originally drawn by Kuiper
in [K2], where he describes a
tight projective plane with two handles.


Slices (movie, 200K)
 This movie shows the projective plane (minus two disks) building
up through its different levels: each frame adds a little bit more to
the surface, so that at the end, the entire surface is visible.
Again, the
critical level
is at frame 29.

The outer faces (that make the "handle" formed by the
convex envelope)
have been removed in order to reveal the internal structure.


FlyBy (movie, 340K)
 This is a short movie that flies around the central projective
plane (minus two disks), so that you can see some of its interesting
structure.
Other pictures
Description of the tight polyhedral surface
Introduction
7/18/94 dpvc@geom.umn.edu 
The Geometry Center