Topological properties of tiles
Research output: Thesis › Doctoral Thesis
Standard
2007. 129 p.
Research output: Thesis › Doctoral Thesis
Harvard
APA
Vancouver
Author
Bibtex - Download
}
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 -
