Some Topological Properties Of Self-affine Tiles

Posted on:2011-07-02

Degree:Master

Type:Thesis

Country:China

Candidate:W C Guo

Full Text:PDF

GTID:2120330332964244

Subject:Basic mathematics

Abstract/Summary:

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In this paper, we study some topological properties of a class of self-affine tiles.We prove that their fundamental groups are nontrivial.We investigate the structure of their approximating polygons.We find a hole in the approximating polygons,and deduce our conclusions.

Keywords/Search Tags:

self-affine tiles, tiling, fundamental group, fractals

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