Truncated hexagonal trapezohedron

In geometry, the truncated hexagonal trapezohedron is the fourth in an infinite series of truncated trapezohedra. It has 12 pentagon and 2 hexagon faces. It can be constructed by taking a hexagonal trapezohedron and truncating the polar axis vertices.

Truncated hexagonal trapezohedron
Type	Truncated trapezohedron
Faces	12 pentagons 2 hexagons
Edges	36
Vertices	24
Conway notation	t6dA6
Symmetry group	D6d, [12,2+], 2*6, order 24
Rotation group	D6, [6,2]+, 226, order 12
Dual polyhedron	Gyroelongated hexagonal dipyramid
Properties	convex

Weaire–Phelan structure

The Weaire–Phelan structure contains another form of this polyhedron that has D_2d symmetry and is a part of a space-filling honeycomb along with an irregular dodecahedron.

Irregular tetradecahedron (Truncated hexagonal trapezohedron)

Weaire–Phelan honeycomb

See also

• Goldberg polyhedron

External links

• Wearie-Phelan Bubbles
• Conway Notation for Polyhedra Try: "t6dA6".