Hexahedron

Hexahedron [ hɛksae dər ː ], from Greek hexáedron, " hexahedron " generally refers to a polyhedron with six boundary surfaces. Specifically, in particular in the context of Platonic solids, the term stands for the cube.

Number of hexahedral

There are infinitely many convex hexahedron. A distinction is made ( ie, after the underlying line graph ) only on the structure, as is for example a parallelepiped or a frustum of pyramid can not be distinguished with four-sided base surface of a cube, all of these, however, entirely of a pyramid with a pentagonal base. In this sense, there are only seven different types of convex hexahedron.

Cube

  • Areas: 4,4,4,4,4,4
  • 8 corners
  • 12 edges

Pyramid with a pentagonal base

  • Areas: 5,3,3,3,3,3
  • 6 corners
  • 10 edges
  • Areas: 5,4,4,3,3,3
  • 7 corners
  • 11 edges
  • Areas: 5,5,4,4,3,3
  • 8 corners
  • 12 edges

Double tetrahedron

  • Areas: 3,3,3,3,3,3
  • 5 corners
  • 9 edges
  • Areas: 4,4,4,4,3,3
  • 7 corners
  • 11 edges

This body has Chirality: There is a " manual left " and " right-handed " version, which emerge by plane reflection apart.

  • Areas: 4,4,3,3,3,3
  • 6 corners
  • 10 edges

If one also considers non-convex hexahedron, so once the following three additional models were added.

  • Areas: 4,4,3,3,3,3
  • 6 corners
  • 10 edges
  • Areas: 5,5,3,3,3,3
  • 7 corners
  • 11 edges
  • Areas: 6,6,3,3,3,3
  • 8 corners
  • 12 edges

Hexahedron in chemistry

  • An organic compound that is built like a cube, the cube after the English (English for cube) named Cuban.
  • Cubic crystal systems are found in the description of the geometrical structure of crystals, such as the salt (sodium chloride structure).
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