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Special Topics:Tilings

Threebolites III by Chaim Goodman-Strauss

  
Here are three inflations of a piece-wise linear equivalent to the Schwarz surface. If we keep inflating, the resulting complex is aperiodic. We can use this to construct aperiodic tilings of space. The construction generalizes to all dimensions greater than one. For fuller description, see Goodman-Strauss' papers.

How to make it: Drafted and ray-traced in SoftImage.

Image created: April 1995

[Threebolites III]

Copyright © April 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 6k gif), medium (500x424 39k gif), or original size (1000x847 718k tiff).

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