descriptionPublicationkeyboard_double_arrow_right Article 19 Oct 2016 English Publisher:Cambridge University Press (CUP)Journal:Nagoya Mathematical Journal, volume 226, pages 127-164 (issn: 0027-7630, eissn: 2152-6842,

Authors: Akiyama, Shigeki; Loridant, Benoît;

doi: 10.1017/nmj.2016.43

BOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILES

- Summary
- Subjects
- Metrics

Abstract

As an application of the boundary parametrization developed in our previous papers, we propose a new method to deduce information on the connected components of the interior of tiles. This gives a systematic way to study the topology of a certain class of self-affine tiles. An example due to Bandt and Gelbrich is examined to prove the efficiency of the method.

Related Organizations

Keywords

Fractals, boundary parametrization, Tilings in \(2\) dimensions (aspects of discrete geometry), disk-like tiles

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average