Truncated triakis octahedron

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.

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	Oh
Properties	convex
Net

Triakis octahedron

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

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

Uses

The DaYan Gem 6 is a twisty puzzle in this shape.^[1]

See also

• Truncated triakis tetrahedron
• Truncated tetrakis cube
• Truncated triakis icosahedron