General Interest:Fractals

This dodecahedron is filled with tiny dodecahedra, giving recipe for filling all of space with dodecas! This symmetry is closely related to that of the three-dimensional Penrose tiles, and generalizes to dimension 4 (but no higher).

How to make it: Mathematica wrote the production rules, a program by Dan Krech iterated the rules, GeomView set up the pictures and RenderMan rendered the final result.

Image created: June 1995

Copyright © June 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 (100x100 5k gif), medium (500x437 109k gif), or original size (1692x1478 2,974k 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