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Fractal tilings in Euclidean space.

Liu, Xin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 61-63). / Abstracts in English and Chinese. / Abstract --- p.1 / Acknowledgments --- p.4 / Chapter 0 --- Introduction --- p.5 / Chapter 1 --- Basics of self-affine tiles --- p.8 / Chapter 1.1 --- Self-affine sets --- p.8 / Chapter 1.2 --- Self-affine tiles --- p.11 / Chapter 1.3 --- Structure of tiling sets --- p.15 / Chapter 1.4 --- Integral self-affine tiles --- p.20 / Chapter 1.4.1 --- Lebesgue measure of integral self-affine tile --- p.22 / Chapter 1.4.2 --- Classification of digit set --- p.24 / Chapter 2 --- Connectedness of self-affine tiles --- p.28 / Chapter 2.1 --- Connectedness --- p.28 / Chapter 2.2 --- Disk-likeness --- p.33 / Chapter 3 --- Tiles with rotations and reflections --- p.39 / Chapter 3.1 --- Tiles --- p.39 / Chapter 3.2 --- Integral tiles --- p.54 / Bibliography --- p.60

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326314
Date January 2008
ContributorsLiu, Xin., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 63 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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