Elongated hexagonal dipyramid
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| 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.
