Truncated tetrakis cube explained

bgcolor=#e7dcc3 colspan=2Truncated tetrakis cube
Hexatruncated tetrakis cube
align=center colspan=2
Conway notationt6kC = dk6tO
Faces8 hexagons
24 pentagons
Edges84
Vertices54
DualHexakis truncated octahedron
Vertex configuration6 (5.5.5.5)
48 (5.5.6)
Symmetry groupOh
Propertiesconvex- align=center
Net-->
The truncated tetrakis cube, or more precisely an order-6 truncated tetrakis cube or hexatruncated tetrakis cube, is a convex polyhedron with 32 faces: 24 sets of 3 bilateral symmetry pentagons arranged in an octahedral arrangement, with 8 regular hexagons in the gaps.

Construction

It is constructed from a tetrakis cube by truncating the order-6 vertices. This creates 4 regular hexagon faces, and leaves 12 mirror-symmetric pentagons.

Hexakis truncated octahedron

The dual of the order-6 truncated triakis tetrahedron is called a hexakis truncated octahedron. It is constructed by a truncated octahedron with hexagonal pyramids augmented.

See also

External links