Truncated hexagonal trapezohedron

From Wikipedia, the free encyclopedia
Truncated hexagonal trapezohedron
TypeTruncated trapezohedron
Faces12 pentagons, 2 hexagons
Edges36
Vertices24
Symmetry groupD6d, [6,2+], 2*6, order 24
Rotation groupD6, [6,2]+, 226, order 12
Dual polyhedronGyroelongated hexagonal dipyramid
Propertiesconvex

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
(Truncated hexagonal trapezohedron)

irregular dodecahedron

Weaire–Phelan honeycomb

External links

This article is issued from Wikipedia. The text is available under the Creative Commons Attribution/Share Alike; additional terms may apply for the media files.