Truncated tetrakis cube
| class=wikitable align="right"
!bgcolor=#e7dcc3 colspan=2|Truncated tetrakis cube | |
| align=center colspan=2|File:Conway_k6tO.png | |
| bgcolor=#e7dcc3|Conway notation | t6kC = dk6tO |
| bgcolor=#e7dcc3|Faces | 8 hexagons 24 pentagons |
| bgcolor=#e7dcc3|Edges | 84 |
| bgcolor=#e7dcc3|Vertices | 54 |
| bgcolor=#e7dcc3|Dual | Hexakis truncated octahedron |
| bgcolor=#e7dcc3|Vertex configuration | 6 (5.5.5.5) 48 (5.5.6) |
| bgcolor=#e7dcc3|Symmetry group | Oh |
| bgcolor=#e7dcc3|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
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.
| class=wikitable |
{{-}}
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.
| class=wikitable |
| align=center
|160px |
See also
External links
- [http://www.georgehart.com/virtual-polyhedra/conway_notation.html George Hart's Polyhedron generator] - "t6kC" (Conway polyhedron notation)
{{Polyhedron-stub}}