Truncated triakis octahedron

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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 Oh
Properties convex
Conway dk8tC net.png
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.

Triakisoctahedron.jpg
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.

Polyhedron truncated 6 max.png
Truncated cube
Conway k8tC.png
Octakis truncated cube
Conway k8tC net.png
Net

See also[]

External links[]


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