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Algorithm for Generating Quasiperiodic Packings of Multi-Shell Clusters
Nicolae Cotfas
Many of the mathematical models used in quasicrystal physics are based on tilings of the plane or space obtained by using strip projection method in a superspace of dimension four,…
Algorithm for generating quasiperiodic packings of icosahedral three-shell clusters
Nicolae Cotfas
The strip projection method is the most important way to generate quasiperiodic patterns with predefined local structure. We have obtained a very efficient algorithm for this metho…
Quasiperiodic packings of two-shell decagonal clusters
Nicolae Cotfas
We present some mathematical results concerning the strip projection method and a computer program for generating quasiperiodic packings of decagonal two shell-clusters.
Systems of orthogonal polynomials defined by hypergeometric type equations
Nicolae Cotfas
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all t…
Discrete quasiperiodic sets with predefined local structure
Nicolae Cotfas
Model sets play a fundamental role in structure analysis of quasicrystals. The diffraction diagram of a quasicrystal admits as symmetry group a finite group G, and there is a G-clu…
On the self-similarities of the Penrose tiling
Nicolae Cotfas
We show that the well known two-dimensional Penrose tiling admits an infinite number of independent scaling factors and an infinite number of inflation centers.