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Decagonal Al-Cu-Co had been modelled by Burkov [1], based on the electron microscopy [2] and x-ray diffraction data [3]. A variant of the model was latter founded over the decagonal tiling of the two golden triangles, T*(A4) [4], projected from the 4-dimensional root lattice A_4. The recent STEM data of the same material [5] show that the previous models must be updated. We try to interpret the new data also as a decoration of the decagonal tiling T*(A4). [1] S.E. Burkov, Phys. Rev. B, 47 (1993) 12325. [2] K. Hiraga, W. Sun, and F. J. Lincoln, Jpn. J. Mod. Phys. 30 (1991) L302. [3] W. Steurer and K. H. Kuo, Acta Crystallogr. Sect. B 46 (1990) 703; J. Phys. C3 (1991) 3397. [4] P. Kramer, A. Quandt, M. Schlottmann, and T. Schneider, Phys. Rev. B 51 (1995) 8815. [5] S. Taniguchi and E. Abe, Highly-perfect decagonal quasicrystal Al64Cu22Co14 with non-centrosymmetry, to appear in Phylos. Mag. 2008.

The pseudosymmetry of atomic structures in crystals of organic and organoelemental compounds