Discrete Tomography: Magic Numbers for N-Fold Symmetry |
| C. Huck, M. Moll and J. Nilsson
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany |
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| We consider the problem of distinguishing convex subsets of n-cyclotomic model sets Λ by (discrete parallel) X-rays in prescribed Λ-directions. In this context, a 'magic number' mΛ has the property that any two convex subsets of Λ can be distinguished by their X-rays in any set of mΛ prescribed Λ-directions. Recent calculations suggest that (with one exception in the case n=4) the least possible magic number for n-cyclotomic model sets might just be N+1, where N=lcm(n,2). |
DOI: 10.12693/APhysPolA.126.486 PACS numbers: 61.43.-j, 61.44.Br |