Truncated triakis octahedron
Appearance
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 |
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
[edit]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
[edit]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
[edit]The DaYan Gem 6 is a twisty puzzle in this shape.[1]
See also
[edit]References
[edit]- ^ "TwistyPuzzles.com > Museum > Show Museum Item". twistypuzzles.com. Retrieved 2025-02-09.
External links
[edit]