Mathematica Journal
Volume 11, Issue 1


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Generating Self-Affine Tiles and Their Boundaries
Mark McClure

A self-affine tile is a two-dimensional set satisfying an expansion identity that allows tiling images to be generated. In this article, we discuss the generation of such images paying particular attention to the boundary of the set, which frequently displays a fractal structure.



About the Author
Mark McClure, associate professor of mathematics at the University of North Carolina at Asheville, was introduced to Mathematica in 1990 while teaching in the Calculus&Mathematica program as a graduate student at Ohio State University. His primary research is in fractal geometry, particularly as it arises in real analysis. The Mathematical Graphics column grew out of his desire to make high-level mathematics accessible via the use of computer graphics. In addition to mathematics, he enjoys hiking and biking in the mountains of western North Carolina.

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