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Special Topics:Topology

Square Stretched Over Sphere by Paul Burchard

The picture shows an intermediate step in the process of stretching a tiny, thin, flat, square sheet of rubber onto the surface of a globe (first placing it near the north pole, and then stretching it down around the globe until all the edges are near the south pole). The cloverleaf-shaped hole is the part of the sphere not covered by the square.

How to make it: This picture is derived from the application /u/burchard/Apps/PlaneToSphere.app which demonstrates the formation of bubbling-off singularities in the harmonic map heat flow.

Image created: Oct 5, 1992

[Square Stretched Over Sphere]

Copyright © Oct 5, 1992 by The Geometry Center, Univerity of Minnesota. All rights reserved.
For permission to use this image, contact permission@geom.umn.edu.

External viewing: small (100x100 3k gif), medium (500x401 23k gif), or original size (447x358 83k tiff).

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Created: Sat May 22 23:17:48 CDT 1999 --- Last modified: Sat May 22 23:17:48 CDT 1999