Intersecting Two-Dimensional Fractals with Lines

Abstract

The Twin Dragon and Rauzy fractals are intersected with the real axis. In the Twin Dragon case, unexpectedly from its fractal nature, the intersection is an interval characterized by a finite automaton. For the case of the Rauzy fractal, it is proved that the intersection has infinitely many components. 

Topics

8 Figures and Tables

Cite this paper

@inproceedings{Akiyama2006IntersectingTF, title={Intersecting Two-Dimensional Fractals with Lines}, author={Shigeki Akiyama and Klaus Scheicher and Jacob Marstrand}, year={2006} }