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Special Topics:Hyperbolic Geometry

Hyperbolic Kaleidoscope: 3-4-4 by Chaim Goodman-Strauss

This image is from a Kaleidoscope you can actually build! Here a symmetry of hyperbolic three-space is illustrated. This image is not successful, for parts of the space are hidden. Still, its neat to look at. 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

[Hyperbolic Kaleidoscope:  3-4-4]

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

External viewing: small (0x0 0k gif), medium (0x0 0k gif), or original size (500x422 103k tiff).

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Created: Sat May 22 23:17:51 CDT 1999 --- Last modified: Sat May 22 23:17:51 CDT 1999