Hexagonal truncated trapezohedron
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| Hexagonal truncated trapezohedron | |
|---|---|
 |
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| Type | Truncated trapezohedron |
| Faces | 12 pentagons, 2 hexagons |
| Edges | 36 |
| Vertices | 24 |
| Symmetry group | D6d |
| Dual polyhedron | Gyroelongated hexagonal dipyramid |
| Properties | convex |
The hexagonal truncated trapezohedron is the fourth in an infinite series of truncated trapezohedron polyhedra. It has 12 pentagon and 2 hexagon faces.
This polyhedron can be constructed by taking a hexagonal trapezohedron and truncating the polar axis vertices.
[edit] Weaire-Phelan structure
Another form of this polyhedron has D2d symmetry and is a part of a space-filling honeycomb along with an irregular dodecahedron, called Weaire-Phelan structure.
 irregular tetradecahedron (Hexagonal truncated trapezohedron) |
 irregular dodecahedron |
 Wearie-Phelan honeycomb |
