Fig. 3: Icosahedral quasicrystal generated by the cut-and-project scheme from 6-dimensional hyperspace.
From: Unveiling multipole physics and frustration of icosahedral magnetic quasicrystals
Red dots represent the sites of the magnetic atom. We draw the sites forming the icosahedron shells only for visibility. The projection view is drawn to emphasize the high-symmetry of the icosahedral quasicrystal. The shortest distance between the centers of the icosahedrons has different values for each icosahedron shell in the quasicrystal. In the projection view, any pair of two sites are connected by the sky-blue line if their distance is less than or equal to the length of an edge of an icosahedron shell. There are many isolated icosahedron shells which have no connection to the other icosahedron shells. For the antiferromagnetic, Jzz, there is geometrical frustration on each icosahedron.
