Geometry of Fractal Squares
This paper will examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised by Cantor sets. Also discussed will be a technique using directed graphs to prove bilipschitz equivalence of two fractal squares. === Ph. D.
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| Format: | Others |
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Virginia Tech
2014
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| Online Access: | http://hdl.handle.net/10919/26883 http://scholar.lib.vt.edu/theses/available/etd-04152010-113009/ |
| Summary: | This paper will examine analogues of Cantor sets, called fractal squares, and some of the
geometric ways in which fractal squares raise issues not raised by Cantor sets. Also discussed
will be a technique using directed graphs to prove bilipschitz equivalence of two fractal
squares. === Ph. D. |
|---|