On inflation rules for Mosseri–Sadoc tilings

@article{Papadopolos1999OnIR,
  title={On inflation rules for Mosseri–Sadoc tilings},
  author={Zorka Papadopolos and Oleg Ogievetsky},
  journal={Materials Science and Engineering A-structural Materials Properties Microstructure and Processing},
  year={1999},
  pages={385-388}
}
  • Z. PapadopolosO. Ogievetsky
  • Published 3 November 1999
  • Mathematics
  • Materials Science and Engineering A-structural Materials Properties Microstructure and Processing
3 Citations

On Quasiperiodic Space Tilings, Inflation, and Dehn Invariants

The Dehn invariants of the Mosseri—Sadoc tiles provide two eigenvectors of the inflation matrix with eigenvalues equal to \t = (1+\sqrt 5 )/2 and -1/\t , and allow us to reconstruct theflation matrix uniquely.

Dodecahedral structures with Mosseri-Sadoc tiles.

It is shown that the 3D Euclidean space can be tiled face-to-face with maximal face coverage by the composite tiles with an inflation factor τ generated by an inflation matrix.

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The Mosseri–Sadoc tilings derived from the root lattice D6

We derive the class of quasiperiodic tilings due to Mosseri and Sadoc, denoted by , from the quasiperiodic tilings of Kramer et al., obtained by icosahedral projection from the 6-dimensional root

On Quasiperiodic Space Tilings, Inflation, and Dehn Invariants

The Dehn invariants of the Mosseri—Sadoc tiles provide two eigenvectors of the inflation matrix with eigenvalues equal to \t = (1+\sqrt 5 )/2 and -1/\t , and allow us to reconstruct theflation matrix uniquely.

Non-periodic central space filling with icosahedral symmetry using copies of seven elementary cells

It is shown that copies of seven elementary cells suffice to fill any region of Euclidean three-dimensional space. The seven elementary cells have four basic convex polyhedral shapes and three of

Symmetries of Icosahedral Quasicrystals

This survey develops some aspects of this embedding for centered hypercubic 6D lattices and hopes to show that the 3D sections of this lattice display a rich geometric structure which they expect to encounter in the geometry and physics of the corresponding quasicrystals.

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Two and three dimensional non–periodic networks obtained from self–similar tiling

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Ueber den Rauminhalt

Tiles– inflation rules for the canonical tilings T ∗(2F ) derived by the projection method”, preprint math-ph/9909012 to be published in the Special Issue of Discrete Mathematics in honor

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  • 1997

Tilesinflation for the canonical tiling T * (2F )

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