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