Truncated hexagonal trapezohedron
TypeTruncated trapezohedron
Faces12 pentagons
2 hexagons
Edges36
Vertices24
Conway notationt6dA6
Symmetry groupD6d, [12,2+], 2*6, order 24
Rotation groupD6, [6,2]+, 226, order 12
Dual polyhedronGyroelongated hexagonal dipyramid
Propertiesconvex

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.

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)

Weaire–Phelan honeycomb

See also

This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.