In geometry, the truncated hexagonal trapezohedron is the fourth in an infinite series of truncated trapezohedra. It has 12 pentagon and 2 hexagon faces. It can be constructed by taking a hexagonal trapezohedron and truncating the polar axis vertices.
| Truncated hexagonal trapezohedron | |
|---|---|
 | |
| Type | Truncated trapezohedron |
| Faces | 12 pentagons 2 hexagons |
| Edges | 36 |
| Vertices | 24 |
| Conway notation | t6dA6 |
| Symmetry group | D6d, [12,2+], 2*6, order 24 |
| Rotation group | D6, [6,2]+, 226, order 12 |
| Dual polyhedron | Gyroelongated hexagonal dipyramid |
| Properties | convex |
Weaire–Phelan structure edit
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 (Truncated hexagonal trapezohedron) |
 Weaire–Phelan honeycomb |
See also edit
External links edit
- [1]
- Conway Notation for Polyhedra Try: "t6dA6".
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