Truncated triakis icosahedron

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Truncated triakis icosahedron
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
Conway dk10tD net.png
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.

Triakisicosahedron.jpg
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.

Polyhedron truncated 12 max.png
Truncated dodecahedron
Conway k10tD.png
Decakis truncated dodecahedron
Conway k10tD net.png
Net

See also[]

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