Special Topics:Hyperbolic Geometry

This image is from a Kaleidoscope you can actually build! Here the hyperbolic wall paper group *22222 is illustrated. Any 2- dimensional discrete hyperbolic group of reflections can be physically rendered with one of these scopes. Unfortunately, one needs cylindrical mirrors, which are hard to find and cut up. By the way, reflection in a circle or sphere is not inversion but some strange map that preserves the combinatorics. For more information, see Unusual Kaleidoscopes

How to make it: Drafted and raytraced in SoftImage.

Image created: April 1995

Copyright © April 1995 by The Geometry Center, University of Minnesota. All rights reserved.
For permission to use this image, contact permission@geom.umn.edu.

External viewing: small (0x0 0k gif), medium (0x0 0k gif), or original size (394x337 64k tiff).

Comments to: webmaster@geom.umn.edu
Created: Thu Jun 25 15:09:39 CDT 1998 --- Last modified: Thu Jun 25 15:09:39 CDT 1998