Intersecting Two-Dimensional Fractals with Lines

نویسندگان

  • Shigeki Akiyama
  • Klaus Scheicher
  • J. M. Marstrand
چکیده

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.

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تاریخ انتشار 2006