Hexagonal truncated trapezohedron
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Hexagonal truncated trapezohedron
Type Truncated trapezohedron
Faces 12 pentagons, 2 hexagons
Edges 36
Vertices 24
Symmetry group D6d
Dual polyhedron Gyroelongated hexagonal dipyramid
Properties convex

The hexagonal truncated 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
(Hexagonal truncated trapezohedron)

irregular dodecahedron

Wearie-Phelan honeycomb

External links

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