title: Truncated triakis octahedron
text: # Truncated triakis octahedron
  
  Truncated triakis octahedron :
  
  | 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 | $O_h$ |
  | 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.
  
  ## Triakis octahedron
  
  It is constructed from taking a triakis octahedron by truncating the order-8 vertices. This creates 6 regular octagon faces, and leaves 24 mirror-symmetric pentagons.
  
  * Triakis octahedron
  
  ## Octakis truncated cube
  
  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 |
  | - | - | - |
  