| Augmented truncated cube | |
|---|---|
 | |
| Type | Johnson J65 – J66 – J67 |
| Faces | 3x4 triangles 1+4 squares 1+4 octagons |
| Edges | 48 |
| Vertices | 28 |
| Vertex configuration | 2.4+8(3.82) 4(3.43) 8(3.4.3.8) |
| Symmetry group | C4v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
In geometry, the augmented truncated cube is one of the Johnson solids (J66). As its name suggests, it is created by attaching a square cupola (J4) onto one octagonal face of a truncated cube.
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]