Figure 1

(A) Visual mapping of a 309 atoms closed-shell polyhedra into a 37995-atoms giant Ih. Though the angles between boundaries or arrangements of facets can be somewhat different from the exact values of that in a perfect polyhedron: a smaller icosahedron can be readily placed in the innermost shells of a larger one; a decahedron can be formed from a section of an icosahedron along one five-fold symmetry axis; a cuboctahedron from the close-packed tetrahedral space between the gIh five-fold boundaries. (B) 2D-projection of the g-Ih where the coloured regions label the three morphological families where each cluster, represented by a circle, falls in. Circles might overlap, as in the pink, orange, and green regions, but this classification depends only on the position of the circle-centre. The centre of Dh lie in the red rectangle, the Cp’s one in the yellow circle, and the Ih’s centre within the blue star, respectively. (C,D) Example of CuPt-nanoparticles obtained during the solidification process in itMD where atoms belong to a five-fold axis are in blue, icosahedral centre in red, otherwise in white, independently of their chemical species; their corresponding representation onto the 2D-gIh map.