Special Topics:Topology

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

Copyright © Oct 27, 1992 by The Geometry Center, University 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).

Comments to: webmaster@geom.umn.edu
Created: Thu Jun 25 15:09:37 CDT 1998 --- Last modified: Thu Jun 25 15:09:37 CDT 1998