Truncated triakis octahedron

Truncated triakis octahedron
Conway notationt8kO = dk8tC
Faces6 octagons
24 pentagons
Edges84
Vertices56
DualOctakis truncated cube
Vertex configuration8 (5.5.5)
48 (5.5.8)
Symmetry groupOh
Propertiesconvex

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 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

References

  1. "TwistyPuzzles.com > Museum > Show Museum Item". twistypuzzles.com. Retrieved 2025-02-09.


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