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General Interest:Fractals

DodecaFoam! by Chaim Goodman-Strauss and Daniel Krech

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, Univerity 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).

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