Truncated triakis octahedron

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!bgcolor=#e7dcc3 colspan=2|Truncated triakis octahedron

align=center colspan=2|Image:Truncated triakis octahedron.png
bgcolor=#e7dcc3|Conway notationt8kO = dk8tC
bgcolor=#e7dcc3|Faces6 octagons
24 pentagons
bgcolor=#e7dcc3|Edges84
bgcolor=#e7dcc3|Vertices56
bgcolor=#e7dcc3|DualOctakis truncated cube
bgcolor=#e7dcc3|Vertex configuration8 (5.5.5)
48 (5.5.8)
bgcolor=#e7dcc3|Symmetry groupOh
bgcolor=#e7dcc3|Propertiesconvex
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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.

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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.

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Truncated cube

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Octakis truncated cube

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Net

= Uses =

The DaYan Gem 6 is a twisty puzzle in this shape.{{Cite web |title=TwistyPuzzles.com > Museum > Show Museum Item |url=https://twistypuzzles.com/app/museum/museum_showitem.php?pkey=4961 |access-date=2025-02-09 |website=twistypuzzles.com}}

See also

References

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