General Interest:Fractals

All these squares are congruent. Yes, its true, by tautology, because we can define our space of congruences ourselves. This is a substitution tiling, using these weird congruences. Amazingly, there are matching rules on these tiles, in this strange space, so that ANY tiling with these tiles satisfying the matching rules looks basically like this.

How to make it: MacPaint, of all things.

Image created: January 1995

Copyright © January 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 7k gif), medium (500x693 185k gif), or original size (468x648 888k tiff).

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Created: Thu Jun 25 15:09:39 CDT 1998 --- Last modified: Thu Jun 25 15:09:39 CDT 1998