Truncated triakis octahedron | |
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Conway notation | t8kO = dk8tC |
Faces | 6 octagons 24 pentagons |
Edges | 84 |
Vertices | 56 |
Dual | Octakis truncated cube |
Vertex configuration | 8 (5.5.5) 48 (5.5.8) |
Symmetry group | Oh |
Properties | convex |
![]() Net |
The truncated triakis octahedron, or more precisely an order-8 truncated triakis octahedron , is a convex polyhedron with 30 faces: 8 sets of 3 pentagons arranged in an octahedral arrangement, with 6 octagons in the gaps.
It is constructed from a triakis octahedron by truncating the order-8 vertices. This creates 6 regular octagon faces, and leaves 24 mirror-symmetric pentagons.
![]() Triakis octahedron |
The dual of the order-8 truncated triakis octahedron is called a octakis truncated cube. It can be seen as a truncated cube with octagonal pyramids augmented to the faces.
![]() Truncated cube | ![]() Octakis truncated cube | ![]() Net |
The DaYan Gem 6 is a twisty puzzle in this shape. [1]