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

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.

## Contents

* 1 Triakis icosahedron
* 2 Decakis truncated dodecahedron
* 3 See also
* 4 External links

## Triakis icosahedron[edit]

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[edit]

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

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## See also[edit]

* Truncated triakis tetrahedron
* Truncated triakis octahedron
* Truncated tetrakis cube

## External links[edit]

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

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