# 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} }

## 3 Citations

### Tiles-inflation rules for the class of canonical tilings tauast(2F) derived by the projection method

- MathematicsDiscret. Math.
- 2000

### On Quasiperiodic Space Tilings, Inflation, and Dehn Invariants

- MathematicsDiscret. Comput. Geom.
- 2001

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.

- MathematicsActa crystallographica. Section A, Foundations and advances
- 2021

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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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

- MathematicsDiscret. Comput. Geom.
- 2001

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.

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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…

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### 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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