Truncated triakis icosahedron
Truncated triakis icosahedron
Conway notationt10kI = dk10tD
Faces12 decagons
60 pentagons
Edges210
Vertices140
DualDecakis truncated dodecahedron
Vertex configuration12 (5.5.5)
60 (5.5.10)
Symmetry groupIh
Propertiesconvex

Net

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

Triakis icosahedron

It is constructed from taking 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


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