Triakis icosahedron
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| Triakis icosahedron | |
|---|---|
| Image:Triakisicosahedron.jpg Click on picture for large version. Click here for spinning version. | |
| Type | Catalan |
| Face polygon | isosceles triangle |
| Faces | 60 |
| Edges | 90 |
| Vertices | 32 = 12 + 20 |
| Face configuration | V3.10.10 |
| Symmetry group | icosahedral (Ih) |
| Dual polyhedron | truncated dodecahedron |
| Properties | convex, face-uniform |
A triakis icosahedron is a polyhedron obtained by augmenting each of the 20 triangular faces of an icosahedron with a pyramid, forming 60 isosceles triangles in all. The term is most commonly applied to one of the Catalan solids, the dual to the truncated dodecahedron.
See Triakis triangular tiling for other "triakis" polyhedral forms.
Magnus Wenninger in the book Polyhedron Models calls the first stellation of the icosahedron by this same name (Model W26). Its surface topology a similarly connected 60 isosceles triangle faces, but the triangles are taller, making it concave. Image:First stellation of icosahedron.png Image:Great stellated dodecahedron.png Image:Great dodecahedron.png
Template:Polyhedron-stubja:三方二十面体 es:icosaedro triakis pt:Icosaedro triakis