| Set of truncated trapezohedra | |
| Faces: | 2 polygons, pentagons |
| Symmetry: | order |
| Rotation Group: | order |
| Dual: | gyroelongated bipyramids |
| Properties: | convex |
In geometry, an truncated trapezohedron is a polyhedron formed by a trapezohedron with pyramids truncated from its two polar axis vertices.
The vertices exist as 4 in four parallel planes, with alternating orientation in the middle creating the pentagons.
The regular dodecahedron is the most common polyhedron in this class, being a Platonic solid, with 12 congruent pentagonal faces.
A truncated trapezohedron has all vertices with 3 faces. This means that the dual polyhedra, the set of gyroelongated dipyramids, have all triangular faces. For example, the icosahedron is the dual of the dodecahedron.