Truncated hexagonal trapezohedron

The truncated hexagonal trapezohedron is the fourth in an infinite series of truncated trapezohedron polyhedra. It has 12 pentagon and 2 hexagon faces.

Truncated hexagonal trapezohedron
TypeTruncated trapezohedron
Conwayt6dA6
Faces12 pentagons, 2 hexagons
Edges36
Vertices24
Symmetry groupD6d, [12,2+], 2*6, order 24
Rotation groupD6, [6,2]+, 226, order 12
Dual polyhedronGyroelongated hexagonal dipyramid
Propertiesconvex

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)

Weaire–Phelan honeycomb
gollark: ++magic reload_config
gollark: Huh. Oops.
gollark: ++tel init_webhook
gollark: I thought ++tel init_webhook was available to basically all.
gollark: It's ++tel link.

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.