Multidimensional paperfolding systems.

@article{Benabraham2013MultidimensionalPS,
  title={Multidimensional paperfolding systems.},
  author={S. I. Ben-abraham and Alexander Quandt and Dekel Shapira},
  journal={Acta crystallographica. Section A, Foundations of crystallography},
  year={2013},
  volume={69 Pt 2},
  pages={
          123-30
        }
}
Algorithms for constructing aperiodic structures produce templates for the nanofabrication of arrays for applications in photonics, phononics and plasmonics. Here a general multidimensional recursion rule is presented for the regular paperfolding structure by straightforward generalization of the one-dimensional rule. As an illustrative example the two-dimensional version of the paperfolding structure is explicitly constructed, its symbolic complexity referred to rectangles computed and its… 
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