## Extended icosahedral structures |

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5-fold axis Al-Li-Cu Al-Mn Al6CuLi3 amorphous metals anisotropic atoms Audier average axes Bancel BPIII Bragg peak calculated centers cholesteric connected coordination cubic crystal cubic structure decagonal decoration defined density diffraction maxima diffraction pattern diffraction peak disclination disorder distance edge electron Elser experimental face-packed faces Figure five-fold Fourier free energy Friauf function Goldman Grebel growth Guyot Heiney Hendricks-Teller Henley hexagonal hypersurface icosahedral alloys icosahedral clusters icosahedral glass model icosahedral packing icosahedral phase icosahedral quasicrystals icosahedral structure icosahedral symmetry icosahedron intensity iteration Landau Landau theory Lett linkages Mackay icosahedra MnAl6 obtained order parameter orientational order packing units peak widths Penrose tiling pentagonal phason strain Phys polyhedra polyhedron polytope quasicrystal quasicrystalline quasiperiodic structures random reciprocal lattice rhombohedra rhombohedron Sadoc sample scale Shechtman shell shown in Fig simulations space group Steinhardt structure factor temperature tetrahedral tion triacontahedra two-fold vertex vertices wave vectors X-ray