Type: | Truncated trapezohedron Johnson solid dual |
Faces: | 8 pentagons, 2 squares |
Edges: | 24 |
Vertices: | 16 |
Dual: | Gyroelongated square bipyramid |
Properties: | convex |
In geometry, the square truncated trapezohedron is the second in an infinite series of truncated trapezohedra. 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: