- Levels sets of the polyhedral surface (60K)
- Building up the polyhedral surface (200K)
- The polyhedral surface rotating (340K)

- The complete tight surface
- The central projective plane
- The complete surface with transparent convex envelope

**Views of the polyhedral object:**

- The complete surface from above
- Front right corner, from above
- Front right corner, from the side
- Right-hand side
- Back right corner
- Front left corner, from above

- Levels for the polyhedral object:
- The initial circle
- Pulling one side across the other
- Adding the triple point
- The triple point
- Completely across the loop, moving toward a saddle
- Just before the saddle
- The critical level
- Just after the saddle
- Pulling back toward the edge
- The final circle

- Levels drawn by Kuiper:
- All levels
- The initial circle
- Pulling one side across the other
- Adding the triple point
- Just before the saddle
- The critical level
- Just after the saddle
- Pulling back toward the edge
- The final circle

- (not yet ready)

- The level sets for an immersed projective plane
- Ruled surfaces to connect the levels
- A tight two-handled torus
- A tight Klein bottle with a handle

**Miscellaneous:**

- Tight polyhedral torus, two-handled torus, and Klein bottle with a handle
- How the triple point is formed within the level sets
- Polyhedral analogues of cusps and folds
- A Klein bottle
- The
*M+*and*M-*regions for a Klein bottle - A Möbius band
- An exotic polyhedral monkey saddle
- Adding a polyhedral handle tightly
- Some polyhedral surfaces that are not tight
- The neighborhood of a non-bounding embedded curve on the projective plane
- A tight torus and its decomposition into
the
*M+*and*M-*regions - The triangulation of the projective plane that forms the tight model, together with its double curve
- An immersed, but not embedded, topset

* 8/13/94 dpvc@geom.umn.edu -- *

*The Geometry Center*