Truncated tetrakis cube

Truncated tetrakis cube
Hexatruncated tetrakis cube
Truncated tetrakis cube
Conway notation t6kC = dk6tO
Faces 8 hexagons
24 pentagons
Edges 84
Vertices 54
Dual Hexakis truncated octahedron
Vertex configuration 6 (5.5.5.5)
48 (5.5.6)
Symmetry group Oh
Properties convex

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

edit

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.

 
tetrakis cube

Hexakis truncated octahedron

edit

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.

 
Truncated octahedron
 
hexakis truncated octahedron

See also

edit
edit