Truncated tetrakis cube
Appearance
Truncated tetrakis cube Hexatruncated 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]External links
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