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单词 icosahedron
释义
icosahedron

Physics
  • 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.


Mathematics
  • A polyhedron with 20 faces. The regular icosahedron is one of the Platonic solids, and its faces are equilateral triangles. It has 12 vertices and 30 edges.


Chemistry
  • A polyhedron having 20 triangular faces with five edges meeting at each vertex. The symmetry of an icosahedron (known as icosahedral symmetry) has fivefold 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 to occur with icosahedral symmetry in certain liquids and glasses because of the dense packing of icosahedra. Icosahedral symmetry also occurs in certain quasicrystals, such as alloys of aluminium and manganese. There is a naturally occurring quasicrystal named icosahedrite, which is a mineral in which there are atoms that form an icosahedron. Certain cluster compounds, particularly compounds with boron atoms, have icosahedral symmetry.


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