Level Sets for the Tight Surface:

The initial circle:




Pulling one side across the other:






Pulling a side across one of the loops:






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:









[Right]
  Comparison of these levels to Kuiper's original drawings


[Left]
  Other pictures of the surface


[Up]
  Introduction


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 7/19/94 dpvc@geom.umn.edu -- 
The Geometry Center