arXiv
Open Access
2012
Magic numbers in the discrete tomography of cyclotomic model sets
Christian Huck
Abstrak
We report recent progress in the problem of distinguishing convex subsets of cyclotomic model sets $\varLambda$ by (discrete parallel) X-rays in prescribed $\varLambda$-directions. It turns out that for any of these model sets $\varLambda$ there exists a `magic number' $m_{\varLambda}$ such that any two convex subsets of $\varLambda$ can be distinguished by their X-rays in any set of $m_{\varLambda}$ prescribed $\varLambda$-directions. In particular, for pentagonal, octagonal, decagonal and dodecagonal model sets, the least possible numbers are in that very order 11, 9, 11 and 13.
Penulis (1)
C
Christian Huck
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2012
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓