Biaugmented truncated cube

Short description: 67th Johnson solid
Biaugmented truncated cube
TypeJohnson
J66J67J68
Faces2x8 triangles
2+8 squares
4 octagons
Edges60
Vertices32
Vertex configuration8(3.82)
8(3.43)
16(3.4.3.8)
Symmetry groupD4h
Dual polyhedron-
Propertiesconvex
Net

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.

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]