Tile ℤ 2 with translations of one set

Let Abe a finite subset of ℤ 2. We say Atiles ℤ 2 with the translation set C, if any integer z∈ℤ 2 can be represented as z 1 +z 2, z 1 ∈ A, z 2 ∈ Cin an unique way. In this case we call Aa ℤ 2-tile and write A ⊕ C = ℤ 2. A tile Ais said to be...

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Bibliographic Details
Main Authors: Hui Rao, Yu-mei Xue
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2006-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Online Access:http://www.dmtcs.org/dmtcs-ojs/index.php/dmtcs/article/view/474