| Square truncated trapezohedron | |
|---|---|
) | |
| Type | Truncated trapezohedron Johnson solid dual |
| Faces | 8 pentagons, 2 squares |
| Edges | 24 |
| Vertices | 16 |
| Symmetry group | D4d, [2+,8], (2*4) |
| Dual polyhedron | Gyroelongated square dipyramid |
| Properties | convex |
The square truncated trapezohedron is the second in an infinite series of truncated trapezohedron polyhedra. It has 8 pentagon and 2 square faces.
This polyhedron can be constructed by taking a tetragonal trapezohedron and truncating the polar axis vertices. The kite faces of the trapezohedron become pentagons.
The vertices exist as 4 squares in four parallel planes, with alternating orientation in the middle creating the pentagons.
A truncated trapezohedron has all valence-3 vertices. This means that the dual polyhedrona gyroelongated square dipyramid has all triangular faces.
It represents the dual polyhedron to the Johnson solid, gyroelongated square dipyramid, with specific proportions:
| Square truncated trapezohedron | Net |
|---|---|
) | ) |