Truncated hexagonal trapezohedron


The truncated hexagonal trapezohedron is the fourth in an infinite series of truncated trapezohedron polyhedra. It has 12 pentagon and 2 hexagon faces.
This polyhedron can be constructed by taking a hexagonal trapezohedron and truncating the polar axis vertices.

Weaire–Phelan structure

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

Weaire–Phelan honeycomb