(a) The 3D representation of the AKNt generated by the cut-and-project method. Two types of rhombohedra are plotted in different colours. (b) The definition of the icosahedral setting in a 3D real space. Vectors are directed from the centre of the icosahedron towards six vertices. The AR (red) and the OR (green) are shown to be spanned by vectors of the icosahedral setting. (c) The rhombic triacontahedron that defines the shape of the OD for the AKNt.