CLASSIFICATION OF SELF-AFFINE LATTICE TILINGS

被引：50
|
作者：
BANDT, C
GELBRITCH, G
机构：
[1] Fachrichtungen Mathematik u. Informatik, Ernst-Mori tz-Arndt-Universität, Greifswald, 17489
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1994年 / 50卷
关键词：
D O I：
10.1112/jlms/50.3.581
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider tilings of the plane by a lattice of translates of some compact set A such that the union of k suitably chosen tiles is similar to A. Affine and metric equivalence of such 'k-reptiles' are defined. We show that for every k greater than or equal to 2 there is a finite number of equivalence classes for which A is homeomorphic to a disk. There are three affine types of tiles with two pieces, and seven types with k = 3.
引用
收藏
页码：581 / 593
页数：13
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