Discrete Tomography: Magic Numbers for N-Fold Symmetry

• Authors: C. Huck , M. Moll , J. Nilsson
• Languages of publication: EN

Abstracts

EN

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' m_{Λ} has the property that any two convex subsets of Λ can be distinguished by their X-rays in any set of m_{Λ} 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).

Keywords

EN

61.43.-j; 61.44.Br

Discipline

• 61.43.-j: Disordered solids(see also 81.05.Gc Amorphous semiconductors, 81.05.Kf Glasses, and 81.05.Rm Porous materials; granular materials in materials science; for photoluminescence of disordered solids, see 78.55.Mb and 78.55.Qr)
• 61.44.Br: Quasicrystals

• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 486-489

Dates

published

2014-08

Contributors

author

C. Huck

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

author

M. Moll

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

author

J. Nilsson

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

References

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Identifiers

DOI

10.12693/APhysPolA.126.486