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Tiling with arbitrary tiles.
- Source :
-
Proceedings of the London Mathematical Society . Jun2016, Vol. 112 Issue 6, p1019-1039. 21p. - Publication Year :
- 2016
-
Abstract
- Let T be a tile in Zn, meaning a finite subset of Zn. It may or may not tile Zn, in the sense of Zn having a partition into copies of T. However, we prove that T does tile Zd for some d. This resolves a conjecture of Chalcraft. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TILE laying
*TILES
*SUBSET selection
*LOGICAL prediction
*MODULAR arithmetic
Subjects
Details
- Language :
- English
- ISSN :
- 00246115
- Volume :
- 112
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Proceedings of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 116166843
- Full Text :
- https://doi.org/10.1112/plms/pdw017