The augmented truncated tetrahedron is Johnson solid 
constructed by affixing a square cupola to one of the
octagonal faces of a truncated cube such that the
cupola's square faces are adjacent the triangular faces of the truncated cube. Since
the affixed shape is a cupola and not a pyramid,
this solid does not represent a true augmentation.
The solid is illustrated above, together with its skeleton
and net.
