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Truncated hexagonal trapezohedron

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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

The Weaire–Phelan structure contains another form of this polyhedron that has D2d 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