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On the boundaries of self-similar tiles in  |
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| Authors: | Xing-Gang He |
| Institution: | Department of Mathematics, Central China Normal University, Wuhan, 430079, People's Republic of China |
| Abstract: | The aim of this note is to study the construction of the boundary of a self-similar tile, which is generated by an iterated function system  . We will show that the boundary has complicated structure (no simple points) in general; however, it is a regular fractal set. |
| Keywords: | Box dimension Hausdorff dimension self-similar set self-similar tile iterated function system |
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