Answer
Quasicrystals are solids with long-range order but no periodicity. They were first discovered in 1982 by Dan Shechtman. The icosahedron is a shape with 20 faces. It is one of the five platonic solids, which are the only regular polyhedra. Icosahedral quasicrystals have a shape similar to the icosahedron, but they are not periodic.