Truncated Triakis Octahedron

From Handwiki

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

  • Truncated triakis tetrahedron
  • Truncated tetrakis cube
  • Truncated triakis icosahedron

External links

  • George Hart's Polyhedron generator - "t8kO" (Conway polyhedron notation)




Retrieved from "https://handwiki.org/wiki/index.php?title=Truncated_triakis_octahedron&oldid=3386660"

Categories: [Polyhedra] [Truncated tilings]


Download as ZWI file | Last modified: 08/08/2024 10:12:10 | 3 views
☰ Source: https://handwiki.org/wiki/Truncated_triakis_octahedron | License: CC BY-SA 3.0

ZWI is not signed. [what is this?]