Triaugmented dodecahedron
Triaugmented dodecahedron | |
---|---|
Type |
Johnson J60 - J61 - J62 |
Faces |
3+2×6 triangles 3×3 pentagons |
Edges | 45 |
Vertices | 23 |
Vertex configuration |
2+3(53) 3+2.6(32.52) 3(35) |
Symmetry group | C3v |
Dual polyhedron | - |
Properties | convex |
Net | |
In geometry, the triaugmented dodecahedron is one of the Johnson solids (J61). It can be seen as a dodecahedron with three pentagonal pyramids (J2) attached to nonadjacent faces.
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]
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.
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