Truncated triakis octahedron

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Truncated triakis octahedron
Truncated triakis octahedron.png
Conway notation t8kO = dk8tC
Faces6 octagons
24 pentagons
Edges84
Vertices56
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.

Contents

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.

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

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.