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 -