Hexagonal bipyramid
| Hexagonal bipyramid | |
|---|---|
 | |
| Type | bipyramid |
| Faces | 12 triangles |
| Edges | 18 |
| Vertices | 8 |
| Symmetry group | D6h |
| Dual polyhedron | hexagonal prism |
| Face configuration | V4.4.6 |
| Properties | convex, face-uniform |
A Hexagonal bipyramid or dodecadeltahedron is a polyhedron having 12 triangular faces, 8 vertices and 18 edges. The 12 faces are identical isosceles triangles.
It is one of an infinite set of bipyramids. Having 12 faces, it is a type of dodecahedron, although that name is usually associated with the regular polyhedral form with pentagonal faces.
The faces are arranged so that six of them share a vertex at the acute angle of the triangles, the other six likewise, and the two groups are joined in a plane of symmetry which is horizontal in the figure to the right. This plane is a regular hexagon. The dodecadeltahedron also has 3 planes of symmetry crossing through the two apices. These planes are rhombic (potentially square) and lie at 120° angles to each other, perpendicular to the horizontal plane.
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