Biaugmented truncated cube

In geometry, the biaugmented truncated cube is one of the Johnson solids (J₆₇). As its name suggests, it is created by attaching two square cupolas (J₄) onto two parallel octagonal faces of a truncated cube.

Biaugmented truncated cube
Type	Johnson J66 – J67 – J68
Faces	2x8 triangles 2+8 squares 4 octagons
Edges	60
Vertices	32
Vertex configuration	8(3.82) 8(3.43) 16(3.4.3.8)
Symmetry group	D4h
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]