Article
Fractal Tiles and Quasidisks
Mathematische Zeitschrift
Document Type
Article
Publication Date
2-1-2015
DOI
10.1007/s00209-014-1372-9
Disciplines
- Education and
- Mathematics
Abstract
We show that the interiors of a large class of planar disklike self-similar tiles are quasidisks. We also show that in general, the interior of a disklike self-affine tile may not be a John domain and thus may not be a quasidisk.
Citation Information
Da-Wen Deng and Sze-Man Ngai. "Fractal Tiles and Quasidisks" Mathematische Zeitschrift Vol. 279 Iss. 1-2 (2015) p. 359 - 387 Available at: http://works.bepress.com/sze-man_ngai/33/