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Tilings: recursivity and regularity
- Source :
-
Theoretical Computer Science . Jan2004, Vol. 310 Issue 1-3, p469. 9p. - Publication Year :
- 2004
-
Abstract
- We establish a first step towards a “Rice theorem” for tilings: for non-trivial sets, it is undecidable to know whether two different tile sets produce the same tilings of the plane. Then, we study quasiperiodicity functions associated with tilings. This function is a way to measure the regularity of tilings. We prove that, not only almost all recursive functions can be obtained as quasiperiodicity functions, but also, a function which overgrows any recursive function. [Copyright &y& Elsevier]
- Subjects :
- *PLANE geometry
*SET theory
*TILING (Mathematics)
*RECURSION theory
Subjects
Details
- Language :
- English
- ISSN :
- 03043975
- Volume :
- 310
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Theoretical Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 11402195
- Full Text :
- https://doi.org/10.1016/S0304-3975(03)00242-1