Triaugmented triangular prism
| Triaugmented triangular prism | |
|---|---|
 | |
| Type |
Johnson J50 - J51 - J52 |
| Faces | 2+2x6 triangles |
| Edges | 21 |
| Vertices | 9 |
| Vertex configuration |
3(34) 6(35) |
| Symmetry group | D3h |
| Dual polyhedron | associahedron K5 |
| Properties | convex, deltahedron |
| Net | |
 | |
In geometry, the triaugmented triangular prism or tetracaidecadeltahedron is one of the Johnson solids (J51). As the name suggests, it can be constructed by attaching square pyramids (J1) to each of the three equatorial faces of the triangular prism. It is a deltahedron.
A Johnson solid is one of 92 strictly convex polyhedra that have regular faces but are not uniform (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]
Dual polyhedron
The dual of the triaugmented triangular prism is an order-5 associahedron. This transparent image shows its three square, and six congruent irregular pentagonal faces. Edges are colored to distinguish the 3 different edge lengths.
External links
- ↑ 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.