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Several steps in the vibration of a minimal surface, in which a catenoid collapses during dynamic simulation. Each point on the surface was given a velocity to the right, while the rings remained fixed: a)the initial surface, b) surface shifts to the right, c) surface shifts to the left, d) surface returns to center, e) neck narrows, and f) neck closes and surface separates into two disks which continue vibrating. This is Figure 3 in Ackerman's Summer Institute report, 1993.
Vibrating Minimal Surface by Jeremy Ackerman
How to make it: This simulation created using Ken Brakke's evolver, modified to allow inertia.
Image created: summer, 1993
Copyright © summer, 1993 by The Geometry Center, Univerity of Minnesota. All rights reserved.
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External viewing: small (100x100 5k gif), medium (500x292 48k gif), or original size (1280x746 380k tiff).
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Created: Sat May 22 23:17:48 CDT 1999
Last modified: Sat May 22 23:17:48 CDT 1999