| Augmented tridiminished icosahedron | |
|---|---|
) | |
| Type | Johnson J63 - J64 - J65 |
| Faces | 1+2x3 triangles 3 pentagons |
| Edges | 18 |
| Vertices | 10 |
| Vertex configuration | 1(33) 3(3.52) 3(33.5) 3(32.52) |
| Symmetry group | C3v |
| Dual polyhedron | - |
| Properties | convex |
| Net | |
) | |
In geometry, the augmented tridiminished icosahedron is one of the Johnson solids (J64).
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]
It can be obtained by joining a tetrahedron to another Johnson solid, the tridiminished icosahedron.
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.