Augmented truncated dodecahedron

In geometry, the augmented truncated dodecahedron is one of the Johnson solids (J₆₈). As its name suggests, it is created by attaching a pentagonal cupola (J₅) onto one decagonal face of a truncated dodecahedron.

Augmented truncated dodecahedron
Type	Johnson J67 – J68 – J69
Faces	5x5 triangles 5 squares 1 pentagon 1+2x5 decagons
Edges	105
Vertices	65
Vertex configuration	4.5+3.10(3.102) 5(3.4.5.4) 10(3.4.3.10)
Symmetry group	C5v
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]