Truncated triakis icosahedron

The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 20 sets of 3 pentagons arranged in an icosahedral arrangement, with 12 decagons in the gaps.

Truncated triakis icosahedron
Conway notation	t10kI = dk10tD
Faces	12 decagons 60 pentagons
Edges	210
Vertices	140
Dual	Decakis truncated dodecahedron
Vertex configuration	12 (5.5.5) 60 (5.5.10)
Symmetry group	Ih
Properties	convex
Net

Triakis icosahedron

It is constructed from a triakis icosahedron by truncating the order-10 vertices. This creates 12 regular decagon faces, and leaves 60 mirror-symmetric pentagons.

Triakis icosahedron

Decakis truncated dodecahedron

The dual of the truncated triakis icosahedron is called a decakis truncated dodecahedron. It can be seen as a truncated dodecahedron with decagonal pyramids augmented to the faces.

Truncated dodecahedron

Decakis truncated dodecahedron

Net

See also

• Truncated triakis tetrahedron
• Truncated triakis octahedron
• Truncated tetrakis cube

External links

• George Hart's Polyhedron generator - "t10kI" (Conway polyhedron notation)