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Augmented truncated tetrahedron 
Summary
In geometry, the augmented truncated tetrahedron is one of the Johnson solids (J65). It is created by attaching a triangular cupola (J3) to one hexagonal face of a truncated tetrahedron.
| Augmented truncated tetrahedron | |
|---|---|
 | |
| Type | Johnson J64 – J65 – J66 |
| Faces | 2+2x3 triangles 3 squares 3 hexagons |
| Edges | 27 |
| Vertices | 15 |
| Vertex configuration | 2x3(3.62) 3(3.4.3.4) 6(3.4.3.6) |
| Symmetry group | C3v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
 | |
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]
External links edit
- Weisstein, Eric W., "Augmented truncated tetrahedron" ("Johnson solid") at MathWorld.
- ^ Johnson, Norman W. (1966), "Convex polyhedra with regular faces", Canadian Journal of Mathematics, 18: 169–200, doi:10.4153/cjm-1966-021-8, MR 0185507, Zbl 0132.14603.