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General Interest:Fractals

Antoine's Necklace by Matt Grayson and Charlie Gunn

A stage in the construction of Antoine's Necklace. Beginning with a single torus, the necklace is the limit of a sequence where each step replaces a torus with N linked tori (here N=10). It's known that a function exists whose critical set is exactly the necklace.

Image created: Feb 1992

[Antoine's Necklace]

Copyright © Feb 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 7k gif), medium (500x364 108k gif), or original size (1100x800 1,047k tiff).

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Created: Sat May 22 23:17:45 CDT 1999 --- Last modified: Sat May 22 23:17:45 CDT 1999