Hexagonal truncated trapezohedron
Type	Truncated trapezohedron Truncated trapezohedron An n-agonal truncated trapezohedron is a polyhedron formed by a n-agonal trapezohedron with n-agonal pyramids truncated from its two polar axis vertices....
Faces	12 pentagon Pentagon In geometry, a pentagon is any five-sided polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 540°. A pentagram is an example of a self-intersecting pentagon.- Regular pentagons :In a regular pentagon, all sides are equal in length and... s, 2 hexagons
Edges	36
Vertices	24
Symmetry group	D6d
Dual polyhedron Dual polyhedron In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. The dual of the dual is the original polyhedron. The dual of a polyhedron with equivalent vertices is one with equivalent faces, and of one with equivalent edges is another...	Gyroelongated hexagonal dipyramid
Properties	convex

The hexagonal truncated trapezohedron is the fourth in an infinite series of truncated trapezohedron

Truncated trapezohedron

An n-agonal truncated trapezohedron is a polyhedron formed by a n-agonal trapezohedron with n-agonal pyramids truncated from its two polar axis vertices....

 polyhedra. It has 12 pentagon

Pentagon

In geometry, a pentagon is any five-sided polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 540°. A pentagram is an example of a self-intersecting pentagon.- Regular pentagons :In a regular pentagon, all sides are equal in length and...

 and 2 hexagon faces.

This polyhedron can be constructed by taking a hexagonal trapezohedron

Hexagonal trapezohedron

The hexagonal trapezohedron or deltohedron is the fourth in an infinite series of face-uniform polyhedra which are dual polyhedron to the antiprisms. It has twelve faces which are congruent kites.- External links :* The Encyclopedia of Polyhedra...

 and truncating the polar axis vertices.

Weaire–Phelan structure

Another form of this polyhedron has D_2d symmetry and is a part of a space-filling honeycomb

Honeycomb (geometry)

In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions....

 along with an irregular dodecahedron, called Weaire–Phelan structure.

irregular tetradecahedron Tetradecahedron A tetradecahedron is a polyhedron with 14 faces. There are numerous topologically distinct forms of a tetradecahedron, with many constructible entirely with regular polygon faces.... (Hexagonal truncated trapezohedron)

irregular dodecahedron

Wearie-Phelan honeycomb

External links

• Weaire–Phelan Bubbles
• Conway Notation for Polyhedra Try: "t6dA6".