Abstract
Structural models for AlCuFe icosahedral and rhombohedral phases are obtained by decomposition, in perpendicular space, of the atomic surfaces into cells of identical local environment. The models are described in 3D real space and compared to the corresponding H.R.E.M. images obtained on structurally perfect icosahedral and rhombohedral phases. The specificity of their aperiodic structure and chemical decoration is outlined

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