| Triaugmented dodecahedron | |
|---|---|
 | |
| Type | Johnson J60 – J61 – J62 |
| Faces | 3+2×6 triangles 3×3 pentagons |
| Edges | 45 |
| Vertices | 23 |
| Vertex configuration | 2+3(53) 3+2.6(32.52) 3(35) |
| Symmetry group | C3v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
In geometry, the triaugmented dodecahedron is one of the Johnson solids (J61). It can be seen as a dodecahedron with three pentagonal pyramids (J2) attached to nonadjacent faces. When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron (J58), a parabiaugmented dodecahedron (J59), a metabiaugmented dodecahedron (J60), or even a pentakis dodecahedron if the faces are made to be irregular.
A Johnson solid is one of 92 strictly convex polyhedra that are composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids , Archimedean solids , prisms , or antiprisms ). They were named by Norman Johnson , who first listed these polyhedra in 1966. [1]
