A polyhedron having twenty triangular faces with five edges meeting at each vertex. The symmetry of an icosahedron (known as icosahedral symmetry) has five-fold rotation axes. It is impossible in crystallography to have a periodic crystal with the point group symmetry of an icosahedron (icosahedral packing). However, it is possible for short-range order with icosahedral symmetry to occur in certain liquids and glasses because of the dense packing of icosahedra. Icosahedral symmetry also occurs in certain quasicrystals, such as some alloys of aluminium and manganese, in some cluster molecules, particularly boron compounds, and in some viruses.