Topological properties of tiles

Research output: ThesisDoctoral Thesis

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Abstract

The topology of fractal tiles giving rise to a tessellation of the plane is investigated. This work leads to several criteria for a tile to be homeorphic to a closed disk. The criteria are all established by considering the neighbor configurations of the tiles in the tiling. A special class of tiles associated to canonical number systems is studied. The inner component of such a tile is described with the help of a finite graph.
Translated title of the contributionTopologische Eigenschaften von Tiles
Original languageEnglish
QualificationDr.mont.
Supervisors/Advisors
  • Thuswaldner, Jörg, Assessor A (internal)
  • Drmota, Michael, Assessor B (external), External person
Publication statusPublished - 2007

Bibliographical note

embargoed until null

Keywords

  • self-affine tiles
  • crystallographic tilings
  • canonical number systems

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