Elongated hexagonal dipyramid

From Wikipedia, the free encyclopedia

Elongated hexagonal dipyramid
Elongated hexagonal dipyramid
Type Elongated dipyramid
Faces 12 triangles
6 squares
Edges 30
Vertices 14
Vertex configuration 2 of 36
12 of 32.42
Symmetry group D6h
Dual Hexagonal bifrustum
Properties convex

In geometry, the elongated hexagonal dipyramid is constructed by elongating a hexagonal dipyramid (by inserting a hexagonal prism between its congruent halves.

[edit] Related polyhedra

This polyhedron is in the family of elongated dipyramids, of which the first three can be Johnson solids: J14, J15 and J16. The hexagonal form can be constructed by all regular faces, but isn't a Johnson solid because 6 equilateral triangles would form six co-planar faces (in a regular hexagon).

[edit] Uses

  • A quartz crystal is an example of an elongated hexagonal dipyramid. Because it has 18 faces, it can be called an octadecahedron.
  • The edge-first orthogonal projection of a 24-cell is an elongated hexagonal dipyramid.
This polyhedron-related article is a stub. You can help Wikipedia by expanding it.
Languages