Triaugmented dodecahedron

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. When pyramids are attached to a dodecahedron in other ways, they may result in an augmented dodecahedron (J₅₈), a parabiaugmented dodecahedron (J₅₉), a metabiaugmented dodecahedron (J₆₀), or even a pentakis dodecahedron if the faces are made to be irregular.

Triaugmented dodecahedron
Type	Johnson J60 – J61 – J62
Faces	3+2×6 triangles 3×3 pentagons
Edges	45
Vertices	23
Vertex configuration	2+3(5^3) 3+2.6(3^2.5^2) 3(3^5)
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

• Weisstein, Eric W., "Triaugmented dodecahedron" ("Johnson Solid") at MathWorld.

1. 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.