| Type of Document |
Dissertation |
| Author |
Roinestad, Kristine A
|
| Author's Email Address |
karoines@vt.edu |
| URN |
etd-04152010-113009 |
| Title |
Geometry of Fractal Squares |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Haskell, Peter E. |
Committee Chair |
| Day, Martin V. |
Committee Member |
| Rossi, John F. |
Committee Member |
| Thomson, James E. |
Committee Member |
|
| Keywords |
- Self-Similarity
- Bilipschitz Equivalences
- Fractal Squares
- Cantor Sets
|
| Date of Defense |
2010-04-12 |
| Availability |
unrestricted |
Abstract
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.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Roinestad_KA_D_2010.pdf |
520.49 Kb |
00:02:24 |
00:01:14 |
00:01:05 |
00:00:32 |
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