Augmented truncated tetrahedron

In geometry, the augmented truncated tetrahedron is one of the Johnson solids (J₆₅). It is created by attaching a triangular cupola (J₃) to one hexagonal face of a truncated tetrahedron.

Augmented truncated tetrahedron
Type	Johnson J64 – J65 – J66
Faces	2+2x3 triangles 3 squares 3 hexagons
Edges	27
Vertices	15
Vertex configuration	2x3(3.62) 3(3.4.3.4) 6(3.4.3.6)
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]