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Hoops in R3 by Mark Phillips

A hoop is a circle of radius 1 and the interesting thing about them is that you can completely fill up the interior of a torus with a disjoint union of them. This material is from a presentation that Dan Asimov gave at the October 1992 MSRI workshop.

How to make it: Mark generated the pictures interactively using Celeste Fowler's "sweep" geomview module. A short film can be found on S-61 from 0:51:00 to 0:56:30.

Image created: Oct 27, 1992

[Hoops in R3]

Copyright © Oct 27, 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 (500x457 77k gif), or original size (943x861 552k tiff).

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Created: Sat May 22 23:17:47 CDT 1999 --- Last modified: Sat May 22 23:17:47 CDT 1999