| Augmented truncated dodecahedron | |
|---|---|
 | |
| Type | Johnson J67 – J68 – J69 |
| Faces | 5×5 triangles 5 squares 1 pentagon 1+2×5 decagons |
| Edges | 105 |
| Vertices | 65 |
| Vertex configuration | 4.5+3.10(3.102) 5(3.4.5.4) 10(3.4.3.10) |
| Symmetry group | C5v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
In geometry, the augmented truncated dodecahedron is one of the Johnson solids (J68). As its name suggests, it is created by attaching a pentagonal cupola (J5) onto one decagonal face of a truncated dodecahedron.
A Johnson solid is one of 92 strictly convex polyhedra that is 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]
