GEOMETRIC REALIZATIONS OF TWO-DIMENSIONAL SUBSTITUTIVE TILINGS

被引：6

作者：

Bedaride, Nicolas ^{[1
]}

Hilion, Arnaud ^{[1
]}

机构：

[1] Aix Marseille Univ, Ctr Math & Informat, F-13453 Marseille 13, France

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2013年 / 64卷 / 04期

关键词：

DYNAMICS;

D O I：

10.1093/qmath/has025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define two-dimensional topological substitutions. A tiling of the Euclidean plane, or of the hyperbolic plane, is substitutive if the underlying 2-complex can be obtained by iteration of a two-dimensional topological substitution. We prove that there is no primitive substitutive tiling of the hyperbolic plane H-2. However, we give an example of a substitutive tiling of H-2 which is non-primitive.

引用

页码：955 / 979

页数：25