Elongated hexagonal dipyramid
- Elongated hexagonal dipyramid
Infobox_Polyhedron
Polyhedron_Type=Elongated dipyramid
Face_List=12 triangles
6 squares
Edge_Count=30
Vertex_Count=14
Symmetry_Group="D""6h"
Vertex_List=2 of 36
12 of 32.42
Dual=Hexagonal bifrustum
Property_List=convex
In geometry, the elongated hexagonal dipyramid is constructed by elongating a hexagonal dipyramid (by inserting a hexagonal prism between its congruent halves.
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).
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.
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