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Intersecting Two-Dimensional Fractals with Lines Shigeki Akiyama
 

Summary: Intersecting Two-Dimensional Fractals with Lines
Shigeki Akiyama
Department of Mathematics, Faculty of Science,
Niigata University, Ikarashi 2-8050,
Niigata 950-2181, Japan
akiyama@math.sc.niigata-u.ac.jp
and
Klaus Scheicher
Johann Radon Institute for
Computational and Applied Mathematics (RICAM),
Austrian Academy of Sciences,
Altenbergerstraße 69, A-4040 Linz, Austria
klaus.scheicher@oeaw.ac.at
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.
1
1. Introduction

  

Source: Akiyama, Shigeki - Department of Mathematics, Niigata University

 

Collections: Mathematics