Title
Combinatoire des motifs d'une suite sturmienne bidimensionnelle
Abstract
We study a generalization of sturmian sequences by constructing a "stepped surface", given by a plane approximation with three kinds of square faces oriented according to the three coordinate planes. With a projection operation, we build a tiling of the plane by three kinds of diamonds. We define in this tiling a complexity function by counting the number of patterns in a given height window. We give the explicit form of this function in the case of triangular windows and parallelogram windows. (C) 1998-Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1998
10.1016/S0304-3975(97)00117-5
THEORETICAL COMPUTER SCIENCE
Keywords
DocType
Volume
discrete geometry,sturmian sequences,combinatorics on patterns,complexity,tilings of the plane
Journal
209
Issue
ISSN
Citations 
1-2
0304-3975
5
PageRank 
References 
Authors
0.94
0
1
Name
Order
Citations
PageRank
Laurent Vuillon118626.63