|Set of truncated trapezohedra|
|Faces|| 2 n-gons,|
|Dual polyhedron||gyroelongated dipyramids|
The vertices exist as 4 n-agons in four parallel planes, with alternating orientation in the middle creating the pentagons.
A truncated trapezohedron has all vertices with 3 faces. This means that the dual polyhedra, the set of gyroelongated dipyramid, have all triangular faces. For example, the icosahedron is the dual of the dodecahedron.