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arXiv · 1211.6318

Magic numbers in the discrete tomography of cyclotomic model sets

Christian Huck
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Abstract

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.

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Christian Huck. 2012-11-27. Magic numbers in the discrete tomography of cyclotomic model sets. https://doi.org/10.1007/978-94-007-6431-6

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