Topological properties of tiles

Research output: ThesisDoctoral Thesis

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Topological properties of tiles. / Loridant, Benoit.
2007. 129 p.

Research output: ThesisDoctoral Thesis

Harvard

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@phdthesis{75f4f9d9105f449fbc73d3a87741c791,
title = "Topological properties of tiles",
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.",
keywords = "selbst-affine Pflaster, kristallographische Pflasterungen, kanonische Ziffernsysteme, self-affine tiles, crystallographic tilings, canonical number systems",
author = "Benoit Loridant",
note = "no embargo",
year = "2007",
language = "English",

}

RIS (suitable for import to EndNote) - Download

TY - BOOK

T1 - Topological properties of tiles

AU - Loridant, Benoit

N1 - no embargo

PY - 2007

Y1 - 2007

N2 - 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.

AB - 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.

KW - selbst-affine Pflaster

KW - kristallographische Pflasterungen

KW - kanonische Ziffernsysteme

KW - self-affine tiles

KW - crystallographic tilings

KW - canonical number systems

M3 - Doctoral Thesis

ER -